Smallest transitive degree

When G acts on a (finite) set, the set is a disjoint union of orbits, the transitive G-sets. There is a natural bijection

{transitive G-sets up to ≅}	↔	{subgroups of G up to conjugacy}
X	↦	stabiliser of a point
G/H	↤	H

Transitive G-sets on which G acts faithfully correspond to subgroups H with trivial core (or core-free), that is those where the intersection of H with all of its conjugates is trivial; equivalently, H contains no non-trivial normal subgroup of G. In this case G can be viewed as a transitive subgroup of S_n for n=(G:H), the index of H in G, called the transitive degree. Conversely, all transitive subgroups of S_n arise in this way. The transitive group database in GAP and Magma contains all transitive subgroups of S_n up to conjugacy for n≤31, numbered nTi (or T_n,i).

See all transitive groups of degree up to 15 and up to 31 for the transitive group numbering. The table below orders groups by the smallest n for which G is a transitive subgroup of S_n, provided n≤120. In other words, it is the index of the largest core-free subgroup H of G. (Often H={1}, for example for abelian and many other soluble groups, so G may only act transitively on itself by left multiplication, by the regular action.)

On 1 point

Groups of order 1

		d	ρ	Label	ID
C₁	Trivial group	1	1+	C1	1,1

On 2 points

Groups of order 2

		d	ρ	Label	ID
C₂	Cyclic group	2	1+	C2	2,1

On 3 points

Groups of order 3

		d	ρ	Label	ID
C₃	Cyclic group; = A₃ = triangle rotations	3	1	C3	3,1

Groups of order 6

		d	ρ	Label	ID
S₃	Symmetric group on 3 letters; = D₃ = GL₂(𝔽₂) = triangle symmetries = 1^st non-abelian group	3	2+	S3	6,1

On 4 points

Groups of order 4

		d	ρ	Label	ID
C₄	Cyclic group; = square rotations	4	1	C4	4,1
C₂²	Klein 4-group V₄ = elementary abelian group of type [2,2]; = rectangle symmetries	4		C2^2	4,2

Groups of order 8

		d	ρ	Label	ID
D₄	Dihedral group; = He₂ = AΣL₁(𝔽₄) = 2₊¹⁺² = square symmetries	4	2+	D4	8,3

Groups of order 12

		d	ρ	Label	ID
A₄	Alternating group on 4 letters; = PSL₂(𝔽₃) = L₂(3) = tetrahedron rotations	4	3+	A4	12,3

Groups of order 24

		d	ρ	Label	ID
S₄	Symmetric group on 4 letters; = PGL₂(𝔽₃) = Aut(Q₈) = Hol(C₂²) = tetrahedron symmetries = cube/octahedron rotations	4	3+	S4	24,12

On 5 points

Groups of order 5

		d	ρ	Label	ID
C₅	Cyclic group; = pentagon rotations	5	1	C5	5,1

Groups of order 10

		d	ρ	Label	ID
D₅	Dihedral group; = pentagon symmetries	5	2+	D5	10,1

Groups of order 20

		d	ρ	Label	ID
F₅	Frobenius group; = C₅ ⋊C₄ = AGL₁(𝔽₅) = Aut(D₅) = Hol(C₅) = Sz(2)	5	4+	F5	20,3

Groups of order 60

		d	ρ	Label	ID
A₅	Alternating group on 5 letters; = SL₂(𝔽₄) = L₂(5) = L₂(4) = icosahedron/dodecahedron rotations; 1^st non-abelian simple	5	3+	A5	60,5

Groups of order 120

		d	ρ	Label	ID
S₅	Symmetric group on 5 letters; = PGL₂(𝔽₅) = Aut(A₅) = 5-cell symmetries; almost simple	5	4+	S5	120,34

On 6 points

Groups of order 6

		d	ρ	Label	ID
C₆	Cyclic group; = hexagon rotations	6	1	C6	6,2

Groups of order 12

		d	ρ	Label	ID
D₆	Dihedral group; = C₂×S₃ = hexagon symmetries	6	2+	D6	12,4

Groups of order 18

		d	ρ	Label	ID
C₃×S₃	Direct product of C₃ and S₃; = U₂(𝔽₂)	6	2	C3xS3	18,3

Groups of order 24

		d	ρ	Label	ID
C₂×A₄	Direct product of C₂ and A₄; = AΣL₁(𝔽₈)	6	3+	C2xA4	24,13

Groups of order 36

		d	ρ	Label	ID
C₃²⋊C₄	The semidirect product of C₃² and C₄ acting faithfully	6	4+	C3^2:C4	36,9
S₃²	Direct product of S₃ and S₃; = Spin+₄(𝔽₂) = Hol(S₃)	6	4+	S3^2	36,10

Groups of order 48

		d	ρ	Label	ID
C₂×S₄	Direct product of C₂ and S₄; = O₃(𝔽₃) = cube/octahedron symmetries	6	3+	C2xS4	48,48

Groups of order 72

		d	ρ	Label	ID
S₃≀C₂	Wreath product of S₃ by C₂; = SO+₄(𝔽₂)	6	4+	S3wrC2	72,40

Groups of order 360

		d	ρ	Label	ID
A₆	Alternating group on 6 letters; = PSL₂(𝔽₉) = L₂(9); 3^rd non-abelian simple	6	5+	A6	360,118

On 7 points

Groups of order 7

		d	ρ	Label	ID
C₇	Cyclic group	7	1	C7	7,1

Groups of order 14

		d	ρ	Label	ID
D₇	Dihedral group	7	2+	D7	14,1

Groups of order 21

		d	ρ	Label	ID
C₇⋊C₃	The semidirect product of C₇ and C₃ acting faithfully	7	3	C7:C3	21,1

Groups of order 42

		d	ρ	Label	ID
F₇	Frobenius group; = C₇ ⋊C₆ = AGL₁(𝔽₇) = Aut(D₇) = Hol(C₇)	7	6+	F7	42,1

Groups of order 168

		d	ρ	Label	ID
GL₃(𝔽₂)	General linear group on 𝔽₂³; = Aut(C₂³) = L₃(2) = L₂(7); 2^nd non-abelian simple	7	3	GL(3,2)	168,42

On 8 points

Groups of order 8

		d	ρ	Label	ID
C₈	Cyclic group	8	1	C8	8,1
C₂×C₄	Abelian group of type [2,4]	8		C2xC4	8,2
Q₈	Quaternion group; = C₄ .C₂ = Dic₂ = 2_-¹⁺²	8	2-	Q8	8,4
C₂³	Elementary abelian group of type [2,2,2]	8		C2^3	8,5

Groups of order 16

		d	ρ	Label	ID
C₂²⋊C₄	The semidirect product of C₂² and C₄ acting via C₄/C₂=C₂	8		C2^2:C4	16,3
M₄(2)	Modular maximal-cyclic group; = C₈ ⋊₃ C₂	8	2	M4(2)	16,6
D₈	Dihedral group	8	2+	D8	16,7
SD₁₆	Semidihedral group; = Q₈ ⋊C₂ = QD₁₆	8	2	SD16	16,8
C₂×D₄	Direct product of C₂ and D₄	8		C2xD4	16,11
C₄○D₄	Pauli group = central product of C₄ and D₄	8	2	C4oD4	16,13

Groups of order 24

		d	ρ	Label	ID
SL₂(𝔽₃)	Special linear group on 𝔽₃²; = Q₈ ⋊C₃ = 2T = <2,3,3> = 1^st non-monomial group	8	2-	SL(2,3)	24,3

Groups of order 32

		d	ρ	Label	ID
C₂³⋊C₄	The semidirect product of C₂³ and C₄ acting faithfully	8	4+	C2^3:C4	32,6
C₄.D₄	1^st non-split extension by C₄ of D₄ acting via D₄/C₂²=C₂	8	4+	C4.D4	32,7
C₄≀C₂	Wreath product of C₄ by C₂	8	2	C4wrC2	32,11
C₂²≀C₂	Wreath product of C₂² by C₂	8		C2^2wrC2	32,27
C₈⋊C₂²	The semidirect product of C₈ and C₂² acting faithfully; = Aut(D₈) = Hol(C₈)	8	4+	C8:C2^2	32,43
2₊¹⁺⁴	Extraspecial group; = D₄ ○D₄	8	4+	ES+(2,2)	32,49

Groups of order 48

		d	ρ	Label	ID
GL₂(𝔽₃)	General linear group on 𝔽₃²; = Q₈ ⋊S₃ = Aut(C₃²)	8	2	GL(2,3)	48,29

Groups of order 56

		d	ρ	Label	ID
F₈	Frobenius group; = C₂³ ⋊C₇ = AGL₁(𝔽₈)	8	7+	F8	56,11

Groups of order 64

		d	ρ	Label	ID
C₂≀C₄	Wreath product of C₂ by C₄; = AΣL₁(𝔽₁₆)	8	4+	C2wrC4	64,32
C₄²⋊C₄	2^nd semidirect product of C₄² and C₄ acting faithfully	8	4+	C4^2:C4	64,34
D₄⋊₄D₄	3^rd semidirect product of D₄ and D₄ acting via D₄/C₂²=C₂; = Hol(D₄)	8	4+	D4:4D4	64,134
C₂≀C₂²	Wreath product of C₂ by C₂²; = Hol(C₂×C₄)	8	4+	C2wrC2^2	64,138

Groups of order 96

		d	ρ	Label	ID
C₂⁴⋊C₆	1^st semidirect product of C₂⁴ and C₆ acting faithfully	8	6+	C2^4:C6	96,70
C₂³⋊A₄	2^nd semidirect product of C₂³ and A₄ acting faithfully	8	4+	C2^3:A4	96,204
C₂²⋊S₄	The semidirect product of C₂² and S₄ acting via S₄/C₂²=S₃	8	6+	C2^2:S4	96,227

Groups of order 128

		d	ρ	Label	ID
D₄≀C₂	Wreath product of D₄ by C₂	8	4+	D4wrC2	128,928

Groups of order 168

		d	ρ	Label	ID
AΓL₁(𝔽₈)	Affine semilinear group on 𝔽₈¹; = F₈ ⋊C₃ = Aut(F₈)	8	7+	AGammaL(1,8)	168,43

Groups of order 192

		d	ρ	Label	ID
C₂≀A₄	Wreath product of C₂ by A₄	8	4+	C2wrA4	192,201
C₂⁴⋊D₆	1^st semidirect product of C₂⁴ and D₆ acting faithfully; = Aut(C₂×Q₈)	8	6+	C2^4:D6	192,955
C₂³⋊S₄	2^nd semidirect product of C₂³ and S₄ acting faithfully; = Aut(C₂²×C₄)	8	4+	C2^3:S4	192,1493
Q₈⋊₂S₄	2^nd semidirect product of Q₈ and S₄ acting via S₄/C₂²=S₃; = Hol(Q₈)	8	4+	Q8:2S4	192,1494

Groups of order 288

		d	ρ	Label	ID
A₄≀C₂	Wreath product of A₄ by C₂	8	6+	A4wrC2	288,1025

Groups of order 336

		d	ρ	Label	ID
PGL₂(𝔽₇)	Projective linear group on 𝔽₇²; = GL₃(𝔽₂)⋊C₂ = Aut(GL₃(𝔽₂)); almost simple	8	6+	PGL(2,7)	336,208

On 9 points

Groups of order 9

		d	ρ	Label	ID
C₉	Cyclic group	9	1	C9	9,1
C₃²	Elementary abelian group of type [3,3]	9		C3^2	9,2

Groups of order 18

		d	ρ	Label	ID
D₉	Dihedral group	9	2+	D9	18,1
C₃⋊S₃	The semidirect product of C₃ and S₃ acting via S₃/C₃=C₂	9		C3:S3	18,4

Groups of order 27

		d	ρ	Label	ID
He₃	Heisenberg group; = C₃² ⋊C₃ = 3₊¹⁺²	9	3	He3	27,3
3_-¹⁺²	Extraspecial group	9	3	ES-(3,1)	27,4

Groups of order 54

		d	ρ	Label	ID
C₃²⋊C₆	The semidirect product of C₃² and C₆ acting faithfully	9	6+	C3^2:C6	54,5
C₉⋊C₆	The semidirect product of C₉ and C₆ acting faithfully; = Aut(D₉) = Hol(C₉)	9	6+	C9:C6	54,6
He₃⋊C₂	2^nd semidirect product of He₃ and C₂ acting faithfully; = Aut(3_-¹⁺²)	9	3	He3:C2	54,8

Groups of order 72

		d	ρ	Label	ID
F₉	Frobenius group; = C₃² ⋊C₈ = AGL₁(𝔽₉)	9	8+	F9	72,39
PSU₃(𝔽₂)	Projective special unitary group on 𝔽₂³; = C₃² ⋊Q₈ = M₉	9	8+	PSU(3,2)	72,41

Groups of order 81

		d	ρ	Label	ID
C₃≀C₃	Wreath product of C₃ by C₃; = AΣL₁(𝔽₂₇)	9	3	C3wrC3	81,7

Groups of order 108

		d	ρ	Label	ID
C₃²⋊D₆	The semidirect product of C₃² and D₆ acting faithfully	9	6+	C3^2:D6	108,17

Groups of order 144

		d	ρ	Label	ID
AΓL₁(𝔽₉)	Affine semilinear group on 𝔽₉¹; = F₉ ⋊C₂ = Aut(C₃²⋊C₄)	9	8+	AGammaL(1,9)	144,182

Groups of order 162

		d	ρ	Label	ID
C₃≀S₃	Wreath product of C₃ by S₃	9	3	C3wrS3	162,10
C₃³⋊C₆	1^st semidirect product of C₃³ and C₆ acting faithfully	9	6+	C3^3:C6	162,11
C₃³⋊S₃	2^nd semidirect product of C₃³ and S₃ acting faithfully	9	6+	C3^3:S3	162,19

Groups of order 216

		d	ρ	Label	ID
ASL₂(𝔽₃)	Hessian group = Affine special linear group on 𝔽₃²; = PSU₃(𝔽₂)⋊C₃	9	8+	ASL(2,3)	216,153

Groups of order 324

		d	ρ	Label	ID
He₃⋊D₆	The semidirect product of He₃ and D₆ acting faithfully	9	6+	He3:D6	324,39
C₃³⋊A₄	The semidirect product of C₃³ and A₄ acting faithfully	9	4	C3^3:A4	324,160

Groups of order 432

		d	ρ	Label	ID
AGL₂(𝔽₃)	Affine linear group on 𝔽₃²; = PSU₃(𝔽₂)⋊S₃ = Aut(C₃⋊S₃) = Hol(C₃²)	9	8+	AGL(2,3)	432,734

On 10 points

Groups of order 10

		d	ρ	Label	ID
C₁₀	Cyclic group	10	1	C10	10,2

Groups of order 20

		d	ρ	Label	ID
D₁₀	Dihedral group; = C₂×D₅	10	2+	D10	20,4

Groups of order 40

		d	ρ	Label	ID
C₂×F₅	Direct product of C₂ and F₅; = Aut(D₁₀) = Hol(C₁₀)	10	4+	C2xF5	40,12

Groups of order 50

		d	ρ	Label	ID
C₅×D₅	Direct product of C₅ and D₅; = AΣL₁(𝔽₂₅)	10	2	C5xD5	50,3

Groups of order 80

		d	ρ	Label	ID
C₂⁴⋊C₅	The semidirect product of C₂⁴ and C₅ acting faithfully	10	5+	C2^4:C5	80,49

Groups of order 100

		d	ρ	Label	ID
C₅²⋊C₄	4^th semidirect product of C₅² and C₄ acting faithfully	10	4+	C5^2:C4	100,12
D₅²	Direct product of D₅ and D₅	10	4+	D5^2	100,13

Groups of order 120

		d	ρ	Label	ID
C₂×A₅	Direct product of C₂ and A₅; = icosahedron/dodecahedron symmetries	10	3+	C2xA5	120,35

Groups of order 160

		d	ρ	Label	ID
C₂⁴⋊D₅	The semidirect product of C₂⁴ and D₅ acting faithfully	10	5+	C2^4:D5	160,234
C₂×C₂⁴⋊C₅	Direct product of C₂ and C₂⁴⋊C₅; = AΣL₁(𝔽₃₂)	10	5+	C2xC2^4:C5	160,235

Groups of order 200

		d	ρ	Label	ID
C₅²⋊C₈	The semidirect product of C₅² and C₈ acting faithfully	10	8+	C5^2:C8	200,40
D₅⋊F₅	The semidirect product of D₅ and F₅ acting via F₅/D₅=C₂; = Hol(D₅)	10	8+	D5:F5	200,42
D₅≀C₂	Wreath product of D₅ by C₂	10	4+	D5wrC2	200,43
C₅²⋊Q₈	The semidirect product of C₅² and Q₈ acting faithfully	10	8+	C5^2:Q8	200,44

Groups of order 240

		d	ρ	Label	ID
C₂×S₅	Direct product of C₂ and S₅; = O₃(𝔽₅)	10	4+	C2xS5	240,189

Groups of order 320

		d	ρ	Label	ID
C₂⁴⋊F₅	The semidirect product of C₂⁴ and F₅ acting faithfully	10	5+	C2^4:F5	320,1635
C₂×C₂⁴⋊D₅	Direct product of C₂ and C₂⁴⋊D₅	10	5+	C2xC2^4:D5	320,1636

Groups of order 400

		d	ρ	Label	ID
C₅²⋊M₄(2)	The semidirect product of C₅² and M₄(2) acting faithfully	10	8+	C5^2:M4(2)	400,206
D₅≀C₂⋊C₂	The semidirect product of D₅≀C₂ and C₂ acting faithfully	10	8+	D5wrC2:C2	400,207

On 11 points

Groups of order 11

		d	ρ	Label	ID
C₁₁	Cyclic group	11	1	C11	11,1

Groups of order 22

		d	ρ	Label	ID
D₁₁	Dihedral group	11	2+	D11	22,1

Groups of order 55

		d	ρ	Label	ID
C₁₁⋊C₅	The semidirect product of C₁₁ and C₅ acting faithfully	11	5	C11:C5	55,1

Groups of order 110

		d	ρ	Label	ID
F₁₁	Frobenius group; = C₁₁ ⋊C₁₀ = AGL₁(𝔽₁₁) = Aut(D₁₁) = Hol(C₁₁)	11	10+	F11	110,1

On 12 points

Groups of order 12

		d	ρ	Label	ID
Dic₃	Dicyclic group; = C₃ ⋊C₄	12	2-	Dic3	12,1
C₁₂	Cyclic group	12	1	C12	12,2
C₂×C₆	Abelian group of type [2,6]	12		C2xC6	12,5

Groups of order 24

		d	ρ	Label	ID
C₄×S₃	Direct product of C₄ and S₃	12	2	C4xS3	24,5
D₁₂	Dihedral group	12	2+	D12	24,6
C₃⋊D₄	The semidirect product of C₃ and D₄ acting via D₄/C₂²=C₂	12	2	C3:D4	24,8
C₃×D₄	Direct product of C₃ and D₄	12	2	C3xD4	24,10
C₂²×S₃	Direct product of C₂² and S₃	12		C2^2xS3	24,14

Groups of order 36

		d	ρ	Label	ID
C₃×Dic₃	Direct product of C₃ and Dic₃	12	2	C3xDic3	36,6
C₃×A₄	Direct product of C₃ and A₄	12	3	C3xA4	36,11
S₃×C₆	Direct product of C₆ and S₃	12	2	S3xC6	36,12

Groups of order 48

		d	ρ	Label	ID
C₄²⋊C₃	The semidirect product of C₄² and C₃ acting faithfully	12	3	C4^2:C3	48,3
A₄⋊C₄	The semidirect product of A₄ and C₄ acting via C₄/C₂=C₂; = SL₂(ℤ/4ℤ)	12	3	A4:C4	48,30
C₄×A₄	Direct product of C₄ and A₄	12	3	C4xA4	48,31
S₃×D₄	Direct product of S₃ and D₄; = Aut(D₁₂) = Hol(C₁₂)	12	4+	S3xD4	48,38
C₂²×A₄	Direct product of C₂² and A₄	12		C2^2xA4	48,49
C₂²⋊A₄	The semidirect product of C₂² and A₄ acting via A₄/C₂²=C₃	12		C2^2:A4	48,50

Groups of order 72

		d	ρ	Label	ID
C₆.D₆	2^nd non-split extension by C₆ of D₆ acting via D₆/S₃=C₂	12	4+	C6.D6	72,21
C₃⋊D₁₂	The semidirect product of C₃ and D₁₂ acting via D₁₂/D₆=C₂	12	4+	C3:D12	72,23
C₃×C₃⋊D₄	Direct product of C₃ and C₃⋊D₄	12	2	C3xC3:D4	72,30
C₃×S₄	Direct product of C₃ and S₄	12	3	C3xS4	72,42
C₃⋊S₄	The semidirect product of C₃ and S₄ acting via S₄/A₄=C₂	12	6+	C3:S4	72,43
S₃×A₄	Direct product of S₃ and A₄	12	6+	S3xA4	72,44
C₂×C₃²⋊C₄	Direct product of C₂ and C₃²⋊C₄	12	4+	C2xC3^2:C4	72,45
C₂×S₃²	Direct product of C₂, S₃ and S₃	12	4+	C2xS3^2	72,46

Groups of order 96

		d	ρ	Label	ID
C₂³.₃A₄	1^st non-split extension by C₂³ of A₄ acting via A₄/C₂²=C₃	12	6+	C2^3.3A4	96,3
C₄²⋊S₃	The semidirect product of C₄² and S₃ acting faithfully	12	3	C4^2:S3	96,64
C₂×C₄²⋊C₃	Direct product of C₂ and C₄²⋊C₃	12	3	C2xC4^2:C3	96,68
C₂³.A₄	2^nd non-split extension by C₂³ of A₄ acting faithfully	12	6+	C2^3.A4	96,72
C₄×S₄	Direct product of C₄ and S₄	12	3	C4xS4	96,186
C₄⋊S₄	The semidirect product of C₄ and S₄ acting via S₄/A₄=C₂	12	6+	C4:S4	96,187
A₄⋊D₄	The semidirect product of A₄ and D₄ acting via D₄/C₂²=C₂; = Aut(C₄²) = GL₂(ℤ/4ℤ)	12	6+	A4:D4	96,195
D₄×A₄	Direct product of D₄ and A₄	12	6+	D4xA4	96,197
C₂²×S₄	Direct product of C₂² and S₄	12		C2^2xS4	96,226
C₂×C₂²⋊A₄	Direct product of C₂ and C₂²⋊A₄	12		C2xC2^2:A4	96,229

Groups of order 108

		d	ρ	Label	ID
C₃×C₃²⋊C₄	Direct product of C₃ and C₃²⋊C₄	12	4	C3xC3^2:C4	108,36
C₃³⋊C₄	2^nd semidirect product of C₃³ and C₄ acting faithfully	12	4	C3^3:C4	108,37
C₃×S₃²	Direct product of C₃, S₃ and S₃	12	4	C3xS3^2	108,38
C₃²⋊₄D₆	The semidirect product of C₃² and D₆ acting via D₆/C₃=C₂²	12	4	C3^2:4D6	108,40

Groups of order 144

		d	ρ	Label	ID
S₃²⋊C₄	The semidirect product of S₃² and C₄ acting via C₄/C₂=C₂	12	4+	S3^2:C4	144,115
C₆²⋊C₄	1^st semidirect product of C₆² and C₄ acting faithfully	12	4+	C6^2:C4	144,136
Dic₃⋊D₆	2^nd semidirect product of Dic₃ and D₆ acting via D₆/S₃=C₂; = Hol(Dic₃)	12	4+	Dic3:D6	144,154
S₃×S₄	Direct product of S₃ and S₄; = Hol(C₂×C₆)	12	6+	S3xS4	144,183
A₄²	Direct product of A₄ and A₄; = PΩ+₄(𝔽₃)	12	9+	A4^2	144,184
C₂×S₃≀C₂	Direct product of C₂ and S₃≀C₂	12	4+	C2xS3wrC2	144,186

Groups of order 192

		d	ρ	Label	ID
C₂³.₉S₄	3^rd non-split extension by C₂³ of S₄ acting via S₄/C₂²=S₃	12	3	C2^3.9S4	192,182
C₄×C₄²⋊C₃	Direct product of C₄ and C₄²⋊C₃	12	3	C4xC4^2:C3	192,188
C₂⁴⋊C₁₂	1^st semidirect product of C₂⁴ and C₁₂ acting via C₁₂/C₂=C₆	12	6+	C2^4:C12	192,191
C₂³⋊₂D₄⋊C₃	The semidirect product of C₂³⋊₂D₄ and C₃ acting faithfully	12	6+	C2^3:2D4:C3	192,194
C₂⁴.₂A₄	2^nd non-split extension by C₂⁴ of A₄ acting faithfully	12	6+	C2^4.2A4	192,197
C₂×C₄²⋊S₃	Direct product of C₂ and C₄²⋊S₃	12	3	C2xC4^2:S3	192,944
C₄²⋊D₆	The semidirect product of C₄² and D₆ acting faithfully	12	6+	C4^2:D6	192,956
C₂×C₂⁴⋊C₆	Direct product of C₂ and C₂⁴⋊C₆	12	6+	C2xC2^4:C6	192,1000
C₂×C₂³.A₄	Direct product of C₂ and C₂³.A₄	12	6+	C2xC2^3.A4	192,1002
D₄×S₄	Direct product of D₄ and S₄	12	6+	D4xS4	192,1472
C₂⁴⋊₄Dic₃	3^rd semidirect product of C₂⁴ and Dic₃ acting via Dic₃/C₂=S₃	12	6+	C2^4:4Dic3	192,1495
C₂×C₂²⋊S₄	Direct product of C₂ and C₂²⋊S₄	12	6+	C2xC2^2:S4	192,1538
C₂²×C₂²⋊A₄	Direct product of C₂² and C₂²⋊A₄	12		C2^2xC2^2:A4	192,1540

Groups of order 216

		d	ρ	Label	ID
S₃×C₃²⋊C₄	Direct product of S₃ and C₃²⋊C₄	12	8+	S3xC3^2:C4	216,156
C₃×S₃≀C₂	Direct product of C₃ and S₃≀C₂	12	4	C3xS3wrC2	216,157
C₃³⋊D₄	2^nd semidirect product of C₃³ and D₄ acting faithfully	12	4	C3^3:D4	216,158
C₃²⋊₂D₁₂	The semidirect product of C₃² and D₁₂ acting via D₁₂/C₃=D₄	12	8+	C3^2:2D12	216,159
S₃³	Direct product of S₃, S₃ and S₃; = Hol(C₃×S₃)	12	8+	S3^3	216,162

Groups of order 240

		d	ρ	Label	ID
A₅⋊C₄	The semidirect product of A₅ and C₄ acting via C₄/C₂=C₂	12	4	A5:C4	240,91

Groups of order 288

		d	ρ	Label	ID
D₆≀C₂	Wreath product of D₆ by C₂	12	4+	D6wrC2	288,889
PSO₄⁺ (𝔽₃)	Projective special orthogonal group of + type on 𝔽₃⁴; = A₄ ⋊S₄ = Hol(A₄)	12	9+	PSO+(4,3)	288,1026

Groups of order 324

		d	ρ	Label	ID
C₃×C₃³⋊C₄	Direct product of C₃ and C₃³⋊C₄; = AΣL₁(𝔽₈₁)	12	4	C3xC3^3:C4	324,162
C₃×C₃²⋊₄D₆	Direct product of C₃ and C₃²⋊₄D₆	12	4	C3xC3^2:4D6	324,167

Groups of order 432

		d	ρ	Label	ID
S₃×S₃≀C₂	Direct product of S₃ and S₃≀C₂	12	8+	S3xS3wrC2	432,741

On 13 points

Groups of order 13

		d	ρ	Label	ID
C₁₃	Cyclic group	13	1	C13	13,1

Groups of order 26

		d	ρ	Label	ID
D₁₃	Dihedral group	13	2+	D13	26,1

Groups of order 39

		d	ρ	Label	ID
C₁₃⋊C₃	The semidirect product of C₁₃ and C₃ acting faithfully	13	3	C13:C3	39,1

Groups of order 52

		d	ρ	Label	ID
C₁₃⋊C₄	The semidirect product of C₁₃ and C₄ acting faithfully	13	4+	C13:C4	52,3

Groups of order 78

		d	ρ	Label	ID
C₁₃⋊C₆	The semidirect product of C₁₃ and C₆ acting faithfully	13	6+	C13:C6	78,1

Groups of order 156

		d	ρ	Label	ID
F₁₃	Frobenius group; = C₁₃ ⋊C₁₂ = AGL₁(𝔽₁₃) = Aut(D₁₃) = Hol(C₁₃)	13	12+	F13	156,7

On 14 points

Groups of order 14

		d	ρ	Label	ID
C₁₄	Cyclic group	14	1	C14	14,2

Groups of order 28

		d	ρ	Label	ID
D₁₄	Dihedral group; = C₂×D₇	14	2+	D14	28,3

Groups of order 42

		d	ρ	Label	ID
C₂×C₇⋊C₃	Direct product of C₂ and C₇⋊C₃	14	3	C2xC7:C3	42,2

Groups of order 84

		d	ρ	Label	ID
C₂×F₇	Direct product of C₂ and F₇; = Aut(D₁₄) = Hol(C₁₄)	14	6+	C2xF7	84,7

Groups of order 98

		d	ρ	Label	ID
C₇×D₇	Direct product of C₇ and D₇; = AΣL₁(𝔽₄₉)	14	2	C7xD7	98,3

Groups of order 112

		d	ρ	Label	ID
C₂×F₈	Direct product of C₂ and F₈	14	7+	C2xF8	112,41

Groups of order 196

		d	ρ	Label	ID
C₇²⋊C₄	The semidirect product of C₇² and C₄ acting faithfully	14	4+	C7^2:C4	196,8
D₇²	Direct product of D₇ and D₇	14	4+	D7^2	196,9

Groups of order 294

		d	ρ	Label	ID
C₇²⋊S₃	The semidirect product of C₇² and S₃ acting faithfully	14	3	C7^2:S3	294,7
C₇⋊₄F₇	2^nd semidirect product of C₇ and F₇ acting via F₇/D₇=C₃	14	6	C7:4F7	294,12

Groups of order 336

		d	ρ	Label	ID
C₂×GL₃(𝔽₂)	Direct product of C₂ and GL₃(𝔽₂)	14	3	C2xGL(3,2)	336,209
C₂×AΓL₁(𝔽₈)	Direct product of C₂ and AΓL₁(𝔽₈)	14	7+	C2xAGammaL(1,8)	336,210

Groups of order 392

		d	ρ	Label	ID
D₇≀C₂	Wreath product of D₇ by C₂	14	4+	D7wrC2	392,37

Groups of order 448

		d	ρ	Label	ID
C₂³⋊F₈	2^nd semidirect product of C₂³ and F₈ acting via F₈/C₂³=C₇	14	7+	C2^3:F8	448,1394

On 15 points

Groups of order 15

		d	ρ	Label	ID
C₁₅	Cyclic group	15	1	C15	15,1

Groups of order 30

		d	ρ	Label	ID
C₅×S₃	Direct product of C₅ and S₃	15	2	C5xS3	30,1
C₃×D₅	Direct product of C₃ and D₅	15	2	C3xD5	30,2
D₁₅	Dihedral group	15	2+	D15	30,3

Groups of order 60

		d	ρ	Label	ID
C₃×F₅	Direct product of C₃ and F₅	15	4	C3xF5	60,6
C₃⋊F₅	The semidirect product of C₃ and F₅ acting via F₅/D₅=C₂	15	4	C3:F5	60,7
S₃×D₅	Direct product of S₃ and D₅	15	4+	S3xD5	60,8

Groups of order 75

		d	ρ	Label	ID
C₅²⋊C₃	The semidirect product of C₅² and C₃ acting faithfully	15	3	C5^2:C3	75,2

Groups of order 120

		d	ρ	Label	ID
S₃×F₅	Direct product of S₃ and F₅; = Aut(D₁₅) = Hol(C₁₅)	15	8+	S3xF5	120,36

Groups of order 150

		d	ρ	Label	ID
C₅²⋊S₃	The semidirect product of C₅² and S₃ acting faithfully	15	3	C5^2:S3	150,5
C₅²⋊C₆	The semidirect product of C₅² and C₆ acting faithfully	15	6+	C5^2:C6	150,6

Groups of order 180

		d	ρ	Label	ID
C₃×A₅	Direct product of C₃ and A₅; = GL₂(𝔽₄)	15	3	C3xA5	180,19

Groups of order 300

		d	ρ	Label	ID
C₅²⋊Dic₃	The semidirect product of C₅² and Dic₃ acting faithfully	15	12+	C5^2:Dic3	300,23
C₅²⋊C₁₂	The semidirect product of C₅² and C₁₂ acting faithfully	15	12+	C5^2:C12	300,24
C₅²⋊D₆	The semidirect product of C₅² and D₆ acting faithfully	15	6+	C5^2:D6	300,25

Groups of order 360

		d	ρ	Label	ID
C₃×S₅	Direct product of C₃ and S₅	15	4	C3xS5	360,119
ΓL₂(𝔽₄)	Semilinear group on 𝔽₄²; = C₃ ⋊S₅	15	6	GammaL(2,4)	360,120
S₃×A₅	Direct product of S₃ and A₅	15	6+	S3xA5	360,121

Groups of order 375

		d	ρ	Label	ID
C₅×C₅²⋊C₃	Direct product of C₅ and C₅²⋊C₃; = AΣL₁(𝔽₁₂₅)	15	3	C5xC5^2:C3	375,6

Groups of order 405

		d	ρ	Label	ID
C₃⁴⋊C₅	The semidirect product of C₃⁴ and C₅ acting faithfully	15	5	C3^4:C5	405,15

On 16 points

Groups of order 16

		d	ρ	Label	ID
C₁₆	Cyclic group	16	1	C16	16,1
C₄²	Abelian group of type [4,4]	16		C4^2	16,2
C₄⋊C₄	The semidirect product of C₄ and C₄ acting via C₄/C₂=C₂	16		C4:C4	16,4
C₂×C₈	Abelian group of type [2,8]	16		C2xC8	16,5
Q₁₆	Generalised quaternion group; = C₈ .C₂ = Dic₄	16	2-	Q16	16,9
C₂²×C₄	Abelian group of type [2,2,4]	16		C2^2xC4	16,10
C₂×Q₈	Direct product of C₂ and Q₈	16		C2xQ8	16,12
C₂⁴	Elementary abelian group of type [2,2,2,2]	16		C2^4	16,14

Groups of order 32

		d	ρ	Label	ID
C₂²⋊C₈	The semidirect product of C₂² and C₈ acting via C₈/C₄=C₂	16		C2^2:C8	32,5
C₄.₁₀D₄	2^nd non-split extension by C₄ of D₄ acting via D₄/C₂²=C₂	16	4-	C4.10D4	32,8
D₄⋊C₄	1^st semidirect product of D₄ and C₄ acting via C₄/C₂=C₂	16		D4:C4	32,9
C₈.C₄	1^st non-split extension by C₈ of C₄ acting via C₄/C₂=C₂	16	2	C8.C4	32,15
M₅(2)	Modular maximal-cyclic group; = C₁₆ ⋊₃ C₂	16	2	M5(2)	32,17
D₁₆	Dihedral group	16	2+	D16	32,18
SD₃₂	Semidihedral group; = C₁₆ ⋊₂ C₂ = QD₃₂	16	2	SD32	32,19
C₂×C₂²⋊C₄	Direct product of C₂ and C₂²⋊C₄	16		C2xC2^2:C4	32,22
C₄²⋊C₂	1^st semidirect product of C₄² and C₂ acting faithfully	16		C4^2:C2	32,24
C₄×D₄	Direct product of C₄ and D₄	16		C4xD4	32,25
C₄⋊D₄	The semidirect product of C₄ and D₄ acting via D₄/C₂²=C₂	16		C4:D4	32,28
C₂²⋊Q₈	The semidirect product of C₂² and Q₈ acting via Q₈/C₄=C₂	16		C2^2:Q8	32,29
C₂².D₄	3^rd non-split extension by C₂² of D₄ acting via D₄/C₂²=C₂	16		C2^2.D4	32,30
C₄.₄D₄	4^th non-split extension by C₄ of D₄ acting via D₄/C₄=C₂	16		C4.4D4	32,31
C₄²⋊₂C₂	2^nd semidirect product of C₄² and C₂ acting faithfully	16		C4^2:2C2	32,33
C₄⋊₁D₄	The semidirect product of C₄ and D₄ acting via D₄/C₄=C₂	16		C4:1D4	32,34
C₂×M₄(2)	Direct product of C₂ and M₄(2)	16		C2xM4(2)	32,37
C₈○D₄	Central product of C₈ and D₄	16	2	C8oD4	32,38
C₂×D₈	Direct product of C₂ and D₈	16		C2xD8	32,39
C₂×SD₁₆	Direct product of C₂ and SD₁₆	16		C2xSD16	32,40
C₄○D₈	Central product of C₄ and D₈	16	2	C4oD8	32,42
C₈.C₂²	The non-split extension by C₈ of C₂² acting faithfully	16	4-	C8.C2^2	32,44
C₂²×D₄	Direct product of C₂² and D₄	16		C2^2xD4	32,46
C₂×C₄○D₄	Direct product of C₂ and C₄○D₄	16		C2xC4oD4	32,48
2_-¹⁺⁴	Gamma matrices = Extraspecial group; = D₄ ○Q₈	16	4-	ES-(2,2)	32,50

Groups of order 48

		d	ρ	Label	ID
CSU₂(𝔽₃)	Conformal special unitary group on 𝔽₃²; = Q₈ .S₃ = 2O = <2,3,4>	16	2-	CSU(2,3)	48,28
C₂×SL₂(𝔽₃)	Direct product of C₂ and SL₂(𝔽₃)	16		C2xSL(2,3)	48,32
C₄.A₄	The central extension by C₄ of A₄	16	2	C4.A4	48,33

Groups of order 64

		d	ρ	Label	ID
C₂³⋊C₈	The semidirect product of C₂³ and C₈ acting via C₈/C₂=C₄	16		C2^3:C8	64,4
C₂².SD₁₆	1^st non-split extension by C₂² of SD₁₆ acting via SD₁₆/Q₈=C₂	16		C2^2.SD16	64,8
C₂³.₃₁D₄	2^nd non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	16		C2^3.31D4	64,9
C₄.₉C₄²	1^st central stem extension by C₄ of C₄²	16	4	C4.9C4^2	64,18
C₄.₁₀C₄²	2^nd central stem extension by C₄ of C₄²	16	4	C4.10C4^2	64,19
C₄²⋊₆C₄	3^rd semidirect product of C₄² and C₄ acting via C₄/C₂=C₂	16		C4^2:6C4	64,20
C₂³.₉D₄	2^nd non-split extension by C₂³ of D₄ acting via D₄/C₂=C₂²	16		C2^3.9D4	64,23
M₄(2)⋊₄C₄	4^th semidirect product of M₄(2) and C₄ acting via C₄/C₂=C₂	16	4	M4(2):4C4	64,25
C₁₆⋊C₄	2^nd semidirect product of C₁₆ and C₄ acting faithfully	16	4	C16:C4	64,28
C₂³.C₈	The non-split extension by C₂³ of C₈ acting via C₈/C₂=C₄	16	4	C2^3.C8	64,30
C₂³.D₄	2^nd non-split extension by C₂³ of D₄ acting faithfully	16	4	C2^3.D4	64,33
C₄²⋊₃C₄	3^rd semidirect product of C₄² and C₄ acting faithfully	16	4	C4^2:3C4	64,35
C₄².C₄	2^nd non-split extension by C₄² of C₄ acting faithfully	16	4	C4^2.C4	64,36
C₄².₃C₄	3^rd non-split extension by C₄² of C₄ acting faithfully	16	4-	C4^2.3C4	64,37
D₈⋊₂C₄	2^nd semidirect product of D₈ and C₄ acting via C₄/C₂=C₂	16	4	D8:2C4	64,41
M₅(2)⋊C₂	6^th semidirect product of M₅(2) and C₂ acting faithfully	16	4+	M5(2):C2	64,42
C₈.C₈	1^st non-split extension by C₈ of C₈ acting via C₈/C₄=C₂	16	2	C8.C8	64,45
C₈.Q₈	The non-split extension by C₈ of Q₈ acting via Q₈/C₂=C₂²	16	4	C8.Q8	64,46
C₂⁴⋊₃C₄	1^st semidirect product of C₂⁴ and C₄ acting via C₄/C₂=C₂	16		C2^4:3C4	64,60
C₂⁴.₄C₄	2^nd non-split extension by C₂⁴ of C₄ acting via C₄/C₂=C₂	16		C2^4.4C4	64,88
C₂×C₂³⋊C₄	Direct product of C₂ and C₂³⋊C₄	16		C2xC2^3:C4	64,90
C₂³.C₂³	2^nd non-split extension by C₂³ of C₂³ acting via C₂³/C₂=C₂²	16	4	C2^3.C2^3	64,91
C₂×C₄.D₄	Direct product of C₂ and C₄.D₄	16		C2xC4.D4	64,92
M₄(2).₈C₂²	3^rd non-split extension by M₄(2) of C₂² acting via C₂²/C₂=C₂	16	4	M4(2).8C2^2	64,94
C₂³.₃₇D₄	8^th non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	16		C2^3.37D4	64,99
C₂×C₄≀C₂	Direct product of C₂ and C₄≀C₂	16		C2xC4wrC2	64,101
C₄²⋊C₂²	1^st semidirect product of C₄² and C₂² acting faithfully	16	4	C4^2:C2^2	64,102
M₄(2).C₄	1^st non-split extension by M₄(2) of C₄ acting via C₄/C₂=C₂	16	4	M4(2).C4	64,111
C₈○D₈	Central product of C₈ and D₈	16	2	C8oD8	64,124
C₈.₂₆D₄	13^rd non-split extension by C₈ of D₄ acting via D₄/C₂²=C₂	16	4	C8.26D4	64,125
C₂²⋊D₈	The semidirect product of C₂² and D₈ acting via D₈/D₄=C₂	16		C2^2:D8	64,128
C₂²⋊SD₁₆	The semidirect product of C₂² and SD₁₆ acting via SD₁₆/D₄=C₂	16		C2^2:SD16	64,131
D₄.₈D₄	3^rd non-split extension by D₄ of D₄ acting via D₄/C₂²=C₂	16	4	D4.8D4	64,135
D₄.₉D₄	4^th non-split extension by D₄ of D₄ acting via D₄/C₂²=C₂	16	4	D4.9D4	64,136
D₄.₁₀D₄	5^th non-split extension by D₄ of D₄ acting via D₄/C₂²=C₂	16	4-	D4.10D4	64,137
C₂³.₇D₄	7^th non-split extension by C₂³ of D₄ acting faithfully	16	4	C2^3.7D4	64,139
D₄.₃D₄	3^rd non-split extension by D₄ of D₄ acting via D₄/C₄=C₂	16	4	D4.3D4	64,152
D₄.₄D₄	4^th non-split extension by D₄ of D₄ acting via D₄/C₄=C₂	16	4+	D4.4D4	64,153
C₁₆⋊C₂²	The semidirect product of C₁₆ and C₂² acting faithfully	16	4+	C16:C2^2	64,190
C₂².₁₁C₂⁴	7^th central extension by C₂² of C₂⁴	16		C2^2.11C2^4	64,199
C₂×C₂²≀C₂	Direct product of C₂ and C₂²≀C₂	16		C2xC2^2wrC2	64,202
C₂².₁₉C₂⁴	5^th central stem extension by C₂² of C₂⁴	16		C2^2.19C2^4	64,206
C₂³⋊₃D₄	2^nd semidirect product of C₂³ and D₄ acting via D₄/C₂=C₂²	16		C2^3:3D4	64,215
C₂².₂₉C₂⁴	15^th central stem extension by C₂² of C₂⁴	16		C2^2.29C2^4	64,216
C₂².₃₂C₂⁴	18^th central stem extension by C₂² of C₂⁴	16		C2^2.32C2^4	64,219
C₂³⋊₂Q₈	2^nd semidirect product of C₂³ and Q₈ acting via Q₈/C₂=C₂²	16		C2^3:2Q8	64,224
D₄²	Direct product of D₄ and D₄	16		D4^2	64,226
D₄⋊₅D₄	1^st semidirect product of D₄ and D₄ acting through Inn(D₄)	16		D4:5D4	64,227
C₂².₄₅C₂⁴	31^st central stem extension by C₂² of C₂⁴	16		C2^2.45C2^4	64,232
C₂².₅₄C₂⁴	40^th central stem extension by C₂² of C₂⁴	16		C2^2.54C2^4	64,241
C₂⁴⋊C₂²	4^th semidirect product of C₂⁴ and C₂² acting faithfully	16		C2^4:C2^2	64,242
Q₈○M₄(2)	Central product of Q₈ and M₄(2)	16	4	Q8oM4(2)	64,249
C₂×C₈⋊C₂²	Direct product of C₂ and C₈⋊C₂²	16		C2xC8:C2^2	64,254
D₈⋊C₂²	4^th semidirect product of D₈ and C₂² acting via C₂²/C₂=C₂	16	4	D8:C2^2	64,256
D₄○D₈	Central product of D₄ and D₈	16	4+	D4oD8	64,257
D₄○SD₁₆	Central product of D₄ and SD₁₆	16	4	D4oSD16	64,258
C₂×2₊¹⁺⁴	Direct product of C₂ and 2₊¹⁺⁴	16		C2xES+(2,2)	64,264
C₂.C₂⁵	6^th central stem extension by C₂ of C₂⁵	16	4	C2.C2^5	64,266

Groups of order 96

		d	ρ	Label	ID
C₄²⋊C₆	1^st semidirect product of C₄² and C₆ acting faithfully	16	6	C4^2:C6	96,71
C₂×GL₂(𝔽₃)	Direct product of C₂ and GL₂(𝔽₃)	16		C2xGL(2,3)	96,189
Q₈.D₆	2^nd non-split extension by Q₈ of D₆ acting via D₆/C₂=S₃	16	4-	Q8.D6	96,190
C₄.₆S₄	3^rd central extension by C₄ of S₄	16	2	C4.6S4	96,192
C₄.₃S₄	3^rd non-split extension by C₄ of S₄ acting via S₄/A₄=C₂	16	4+	C4.3S4	96,193
D₄.A₄	The non-split extension by D₄ of A₄ acting through Inn(D₄)	16	4-	D4.A4	96,202

Groups of order 128

		d	ρ	Label	ID
C₂⁴.₄Q₈	3^rd non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	16		C2^4.4Q8	128,36
C₂⁴⋊C₈	1^st semidirect product of C₂⁴ and C₈ acting via C₈/C₂=C₄	16		C2^4:C8	128,48
C₂⁴.C₈	2^nd non-split extension by C₂⁴ of C₈ acting via C₈/C₂=C₄	16	4	C2^4.C8	128,52
C₄².C₈	1^st non-split extension by C₄² of C₈ acting via C₈/C₂=C₄	16	4	C4^2.C8	128,59
C₈≀C₂	Wreath product of C₈ by C₂	16	2	C8wrC2	128,67
C₈.₃₂D₈	9^th non-split extension by C₈ of D₈ acting via D₈/D₄=C₂	16	4	C8.32D8	128,68
C₂³.D₈	1^st non-split extension by C₂³ of D₈ acting via D₈/C₂=D₄	16	8+	C2^3.D8	128,71
C₂³.SD₁₆	1^st non-split extension by C₂³ of SD₁₆ acting via SD₁₆/C₂=D₄	16	8+	C2^3.SD16	128,73
C₂⁴.D₄	1^st non-split extension by C₂⁴ of D₄ acting faithfully	16		C2^4.D4	128,75
C₄.C₄≀C₂	9^th non-split extension by C₄ of C₄≀C₂ acting via C₄≀C₂/C₄²=C₂	16	8+	C4.C4wrC2	128,87
C₈.₂₄D₈	1^st non-split extension by C₈ of D₈ acting via D₈/D₄=C₂	16	4+	C8.24D8	128,89
C₈.₂₉D₈	6^th non-split extension by C₈ of D₈ acting via D₈/D₄=C₂	16	4	C8.29D8	128,91
C₄².D₄	1^st non-split extension by C₄² of D₄ acting faithfully	16	4+	C4^2.D4	128,134
C₄².₂D₄	2^nd non-split extension by C₄² of D₄ acting faithfully	16	4	C4^2.2D4	128,135
C₄².₃D₄	3^rd non-split extension by C₄² of D₄ acting faithfully	16	4	C4^2.3D4	128,136
C₄².₄D₄	4^th non-split extension by C₄² of D₄ acting faithfully	16	4-	C4^2.4D4	128,137
C₈⋊C₄⋊C₄	1^st semidirect product of C₈⋊C₄ and C₄ acting faithfully	16	8+	C8:C4:C4	128,138
C₄⋊₁D₄⋊C₄	2^nd semidirect product of C₄⋊₁D₄ and C₄ acting faithfully	16	4+	C4:1D4:C4	128,140
(C₄×C₈)⋊₆C₄	6^th semidirect product of C₄×C₈ and C₄ acting faithfully	16	4	(C4xC8):6C4	128,141
(C₄×C₈).C₄	6^th non-split extension by C₄×C₈ of C₄ acting faithfully	16	4	(C4xC8).C4	128,142
C₈⋊C₄⋊₅C₄	5^th semidirect product of C₈⋊C₄ and C₄ acting faithfully	16	8+	C8:C4:5C4	128,144
C₂⁵.₃C₄	3^rd non-split extension by C₂⁵ of C₄ acting faithfully	16		C2^5.3C4	128,194
C₂⁴.₁₅₀D₄	5^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	16		C2^4.150D4	128,236
C₂³⋊D₈	The semidirect product of C₂³ and D₈ acting via D₈/C₂=D₄	16		C2^3:D8	128,327
C₂³⋊SD₁₆	1^st semidirect product of C₂³ and SD₁₆ acting via SD₁₆/C₂=D₄	16		C2^3:SD16	128,328
C₂⁴.₉D₄	9^th non-split extension by C₂⁴ of D₄ acting faithfully	16		C2^4.9D4	128,332
C₂⁵⋊C₄	1^st semidirect product of C₂⁵ and C₄ acting faithfully	16		C2^5:C4	128,513
C₂⁵.C₄	4^th non-split extension by C₂⁵ of C₄ acting faithfully	16		C2^5.C4	128,515
C₄○D₄.D₄	3^rd non-split extension by C₄○D₄ of D₄ acting via D₄/C₂=C₂²	16	8+	C4oD4.D4	128,527
C₂⁴.₆₈D₄	23^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	16		C2^4.68D4	128,551
(C₂×C₄²)⋊C₄	8^th semidirect product of C₂×C₄² and C₄ acting faithfully	16	4	(C2xC4^2):C4	128,559
C₂⁴.C₂³	1^st non-split extension by C₂⁴ of C₂³ acting faithfully	16	8+	C2^4.C2^3	128,560
C₂⁴.₆(C₂×C₄)	6^th non-split extension by C₂⁴ of C₂×C₄ acting faithfully	16	8+	C2^4.6(C2xC4)	128,561
C₈⋊C₄⋊₁₇C₄	12^nd semidirect product of C₈⋊C₄ and C₄ acting via C₄/C₂=C₂	16	4	C8:C4:17C4	128,573
M₄(2).₄₁D₄	5^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	16	4	M4(2).41D4	128,593
M₄(2)⋊₁₉D₄	6^th semidirect product of M₄(2) and D₄ acting via D₄/C₂²=C₂	16	4	M4(2):19D4	128,616
C₂⁴.₂₄D₄	24^th non-split extension by C₂⁴ of D₄ acting faithfully	16		C2^4.24D4	128,619
C₂⁵.C₂²	9^th non-split extension by C₂⁵ of C₂² acting faithfully	16		C2^5.C2^2	128,621
(C₂×C₈)⋊D₄	3^rd semidirect product of C₂×C₈ and D₄ acting faithfully	16	4	(C2xC8):D4	128,623
(C₂×C₄)≀C₂	Wreath product of C₂×C₄ by C₂	16		(C2xC4)wrC2	128,628
C₂⁴.₇₈D₄	33^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	16		C2^4.78D4	128,630
M₄(2).₄₇D₄	11^st non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	16	8+	M4(2).47D4	128,635
C₄².₅D₄	5^th non-split extension by C₄² of D₄ acting faithfully	16	8+	C4^2.5D4	128,636
C₄².₄₂₆D₄	59^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	16	4	C4^2.426D4	128,638
(C₂×C₈)⋊₄D₄	4^th semidirect product of C₂×C₈ and D₄ acting faithfully	16	8+	(C2xC8):4D4	128,642
C₄²⋊D₄	1^st semidirect product of C₄² and D₄ acting faithfully	16	8+	C4^2:D4	128,643
C₂⁴.₂₈D₄	28^th non-split extension by C₂⁴ of D₄ acting faithfully	16	8+	C2^4.28D4	128,645
M₄(2)⋊₂₁D₄	8^th semidirect product of M₄(2) and D₄ acting via D₄/C₂²=C₂	16	8+	M4(2):21D4	128,646
C₄².₄₂₇D₄	60^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	16	4	C4^2.427D4	128,664
C₄²⋊₉D₄	3^rd semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	16		C4^2:9D4	128,734
M₄(2)⋊₅D₄	5^th semidirect product of M₄(2) and D₄ acting via D₄/C₂=C₂²	16	8+	M4(2):5D4	128,740
C₄²⋊₂D₄	2^nd semidirect product of C₄² and D₄ acting faithfully	16	4	C4^2:2D4	128,742
C₂⁴⋊D₄	1^st semidirect product of C₂⁴ and D₄ acting faithfully	16		C2^4:D4	128,753
C₂⁴⋊₂Q₈	1^st semidirect product of C₂⁴ and Q₈ acting via Q₈/C₂=C₂²	16		C2^4:2Q8	128,761
C₄².₈D₄	8^th non-split extension by C₄² of D₄ acting faithfully	16	4	C4^2.8D4	128,763
C₂⁴⋊Q₈	The semidirect product of C₂⁴ and Q₈ acting faithfully	16	8+	C2^4:Q8	128,764
M₄(2).₈D₄	8^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	16	8+	M4(2).8D4	128,780
C₄².₁₃₁D₄	113^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	16	4	C4^2.131D4	128,782
C₂⁴.Q₈	The non-split extension by C₂⁴ of Q₈ acting faithfully	16	8+	C2^4.Q8	128,801
(C₂×C₈).D₄	5^th non-split extension by C₂×C₈ of D₄ acting faithfully	16	8+	(C2xC8).D4	128,813
C₂⁴.₁₁Q₈	10^th non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	16	4	C2^4.11Q8	128,823
C₄².₃₂Q₈	32^nd non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	16	4	C4^2.32Q8	128,834
C₂⁴.₄C₂³	4^th non-split extension by C₂⁴ of C₂³ acting faithfully	16	8+	C2^4.4C2^3	128,836
C₂×C₂≀C₄	Direct product of C₂ and C₂≀C₄	16		C2xC2wrC4	128,850
C₄○C₂≀C₄	Central product of C₄ and C₂≀C₄	16	4	C4oC2wrC4	128,852
C₂⁴.₃₆D₄	36^th non-split extension by C₂⁴ of D₄ acting faithfully	16	8+	C2^4.36D4	128,853
C₂≀C₄⋊C₂	6^th semidirect product of C₂≀C₄ and C₂ acting faithfully	16	8+	C2wrC4:C2	128,854
C₂×C₄²⋊C₄	Direct product of C₂ and C₄²⋊C₄	16		C2xC4^2:C4	128,856
C₄⋊Q₈⋊₂₉C₄	24^th semidirect product of C₄⋊Q₈ and C₄ acting via C₄/C₂=C₂	16	4	C4:Q8:29C4	128,858
C₂⁴.₃₉D₄	39^th non-split extension by C₂⁴ of D₄ acting faithfully	16	8+	C2^4.39D4	128,859
C₄.₄D₄⋊C₄	6^th semidirect product of C₄.₄D₄ and C₄ acting faithfully	16	8+	C4.4D4:C4	128,860
(C₂×D₄).₁₃₅D₄	97^th non-split extension by C₂×D₄ of D₄ acting via D₄/C₂=C₂²	16	4	(C2xD4).135D4	128,864
C₄⋊₁D₄.C₄	5^th non-split extension by C₄⋊₁D₄ of C₄ acting faithfully	16	8+	C4:1D4.C4	128,866
C₈.₅M₄(2)	5^th non-split extension by C₈ of M₄(2) acting via M₄(2)/C₄=C₂²	16	4	C8.5M4(2)	128,897
D₁₆⋊C₄	The semidirect product of D₁₆ and C₄ acting faithfully; = Aut(D₁₆) = Hol(C₁₆)	16	8+	D16:C4	128,913
D₈⋊D₄	The semidirect product of D₈ and D₄ acting via D₄/C₂=C₂²	16	8+	D8:D4	128,922
C₄²⋊₄D₄	4^th semidirect product of C₄² and D₄ acting faithfully	16	4	C4^2:4D4	128,929
C₄².₁₃D₄	13^rd non-split extension by C₄² of D₄ acting faithfully	16	4	C4^2.13D4	128,930
C₄²⋊₅D₄	5^th semidirect product of C₄² and D₄ acting faithfully	16	8+	C4^2:5D4	128,931
C₄²⋊₆D₄	6^th semidirect product of C₄² and D₄ acting faithfully	16	8+	C4^2:6D4	128,932
C₄².₁₅D₄	15^th non-split extension by C₄² of D₄ acting faithfully	16	8+	C4^2.15D4	128,934
C₄².₁₇D₄	17^th non-split extension by C₄² of D₄ acting faithfully	16	4	C4^2.17D4	128,936
Q₈≀C₂	Wreath product of Q₈ by C₂	16	4-	Q8wrC2	128,937
D₈⋊₃D₄	2^nd semidirect product of D₈ and D₄ acting via D₄/C₄=C₂	16	4+	D8:3D4	128,945
D₈⋊₃Q₈	3^rd semidirect product of D₈ and Q₈ acting via Q₈/C₄=C₂	16	4	D8:3Q8	128,962
M₅(2).C₂²	8^th non-split extension by M₅(2) of C₂² acting faithfully	16	8+	M5(2).C2^2	128,970
C₂³≀C₂	Wreath product of C₂³ by C₂	16		C2^3wrC2	128,1578
C₂³.C₂⁴	3^rd non-split extension by C₂³ of C₂⁴ acting via C₂⁴/C₂²=C₂²	16	8+	C2^3.C2^4	128,1615
M₄(2).₂₄C₂³	6^th non-split extension by M₄(2) of C₂³ acting via C₂³/C₂²=C₂	16	8+	M4(2).24C2^3	128,1620
2_-¹⁺⁴⋊₅C₄	4^th semidirect product of 2_-¹⁺⁴ and C₄ acting via C₄/C₂=C₂	16	4	ES-(2,2):5C4	128,1633
M₄(2).₅₁D₄	1^st non-split extension by M₄(2) of D₄ acting through Inn(M₄(2))	16	4	M4(2).51D4	128,1688
C₂⁴.₁₇₇D₄	32^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	16		C2^4.177D4	128,1735
C₂×D₄⋊₄D₄	Direct product of C₂ and D₄⋊₄D₄	16		C2xD4:4D4	128,1746
C₄².₃₁₃C₂³	174^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	16	4	C4^2.313C2^3	128,1750
M₄(2)⋊C₂³	3^rd semidirect product of M₄(2) and C₂³ acting via C₂³/C₂=C₂²	16	8+	M4(2):C2^3	128,1751
C₄².₁₂C₂³	12^nd non-split extension by C₄² of C₂³ acting faithfully	16	8+	C4^2.12C2^3	128,1753
C₂×C₂≀C₂²	Direct product of C₂ and C₂≀C₂²	16		C2xC2wrC2^2	128,1755
C₂³.₇C₂⁴	7^th non-split extension by C₂³ of C₂⁴ acting via C₂⁴/C₂²=C₂²	16	4	C2^3.7C2^4	128,1757
C₂⁴⋊C₂³	2^nd semidirect product of C₂⁴ and C₂³ acting faithfully	16	8+	C2^4:C2^3	128,1758
C₂³.₉C₂⁴	9^th non-split extension by C₂³ of C₂⁴ acting via C₂⁴/C₂²=C₂²	16	8+	C2^3.9C2^4	128,1759
M₄(2).₃₇D₄	1^st non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	16	8+	M4(2).37D4	128,1800
D₈⋊₁₁D₄	5^th semidirect product of D₈ and D₄ acting via D₄/C₂²=C₂	16	8+	D8:11D4	128,2020
D₈⋊₆D₄	5^th semidirect product of D₈ and D₄ acting via D₄/C₄=C₂	16	4	D8:6D4	128,2023
D₈○D₈	Central product of D₈ and D₈	16	4+	D8oD8	128,2024
C₂².₇₃C₂⁵	54^th central stem extension by C₂² of C₂⁵	16		C2^2.73C2^5	128,2216
C₂².₇₉C₂⁵	60^th central stem extension by C₂² of C₂⁵	16		C2^2.79C2^5	128,2222
C₄²⋊C₂³	4^th semidirect product of C₄² and C₂³ acting faithfully	16		C4^2:C2^3	128,2264
D₈⋊C₂³	6^th semidirect product of D₈ and C₂³ acting via C₂³/C₂²=C₂	16	8+	D8:C2^3	128,2317
2₊¹⁺⁶	Extraspecial group; = D₄ ○2₊¹⁺⁴	16	8+	ES+(2,3)	128,2326

Groups of order 192

		d	ρ	Label	ID
C₂³.SL₂(𝔽₃)	1^st non-split extension by C₂³ of SL₂(𝔽₃) acting via SL₂(𝔽₃)/C₂=A₄	16	4	C2^3.SL(2,3)	192,4
C₂⁴⋊Dic₃	The semidirect product of C₂⁴ and Dic₃ acting faithfully	16	12+	C2^4:Dic3	192,184
C₄²⋊Dic₃	The semidirect product of C₄² and Dic₃ acting faithfully	16	12+	C4^2:Dic3	192,185
2₊¹⁺⁴.C₆	1^st non-split extension by 2₊¹⁺⁴ of C₆ acting faithfully	16	4	ES+(2,2).C6	192,202
C₂⁴.₆A₄	6^th non-split extension by C₂⁴ of A₄ acting faithfully	16	12+	C2^4.6A4	192,1008
C₂⁴⋊A₄	3^rd semidirect product of C₂⁴ and A₄ acting faithfully	16	12+	C2^4:A4	192,1009
C₂⁴.₇A₄	7^th non-split extension by C₂⁴ of A₄ acting faithfully	16		C2^4.7A4	192,1021
C₄²⋊A₄	The semidirect product of C₄² and A₄ acting faithfully	16	12+	C4^2:A4	192,1023
C₂⁴⋊₅A₄	5^th semidirect product of C₂⁴ and A₄ acting faithfully	16		C2^4:5A4	192,1024
D₄.₄S₄	1^st non-split extension by D₄ of S₄ acting through Inn(D₄)	16	4	D4.4S4	192,1485
C₂³.S₄	4^th non-split extension by C₂³ of S₄ acting faithfully	16	4	C2^3.S4	192,1491
Q₈.S₄	2^nd non-split extension by Q₈ of S₄ acting via S₄/C₂²=S₃	16	4	Q8.S4	192,1492
C₂×C₂³⋊A₄	Direct product of C₂ and C₂³⋊A₄	16		C2xC2^3:A4	192,1508
2₊¹⁺⁴.₃C₆	The non-split extension by 2₊¹⁺⁴ of C₆ acting via C₆/C₂=C₃	16	4	ES+(2,2).3C6	192,1509

Groups of order 240

		d	ρ	Label	ID
F₁₆	Frobenius group; = C₂⁴ ⋊C₁₅ = AGL₁(𝔽₁₆)	16	15+	F16	240,191

Groups of order 288

		d	ρ	Label	ID
A₄×S₄	Direct product of A₄ and S₄	16	9+	A4xS4	288,1024

Groups of order 336

		d	ρ	Label	ID
SL₂(𝔽₇)	Special linear group on 𝔽₇²; = C₂ .GL₃(𝔽₂)	16	4	SL(2,7)	336,114

Groups of order 480

		d	ρ	Label	ID
F₁₆⋊C₂	The semidirect product of F₁₆ and C₂ acting faithfully	16	15+	F16:C2	480,1188

On 17 points

Groups of order 17

		d	ρ	Label	ID
C₁₇	Cyclic group	17	1	C17	17,1

Groups of order 34

		d	ρ	Label	ID
D₁₇	Dihedral group	17	2+	D17	34,1

Groups of order 68

		d	ρ	Label	ID
C₁₇⋊C₄	The semidirect product of C₁₇ and C₄ acting faithfully	17	4+	C17:C4	68,3

Groups of order 136

		d	ρ	Label	ID
C₁₇⋊C₈	The semidirect product of C₁₇ and C₈ acting faithfully	17	8+	C17:C8	136,12

Groups of order 272

		d	ρ	Label	ID
F₁₇	Frobenius group; = C₁₇ ⋊C₁₆ = AGL₁(𝔽₁₇) = Aut(D₁₇) = Hol(C₁₇)	17	16+	F17	272,50

On 18 points

Groups of order 18

		d	ρ	Label	ID
C₁₈	Cyclic group	18	1	C18	18,2
C₃×C₆	Abelian group of type [3,6]	18		C3xC6	18,5

Groups of order 36

		d	ρ	Label	ID
C₃.A₄	The central extension by C₃ of A₄	18	3	C3.A4	36,3
D₁₈	Dihedral group; = C₂×D₉	18	2+	D18	36,4
C₂×C₃⋊S₃	Direct product of C₂ and C₃⋊S₃	18		C2xC3:S3	36,13

Groups of order 54

		d	ρ	Label	ID
C₃×D₉	Direct product of C₃ and D₉	18	2	C3xD9	54,3
S₃×C₉	Direct product of C₉ and S₃	18	2	S3xC9	54,4
C₂×He₃	Direct product of C₂ and He₃	18	3	C2xHe3	54,10
C₂×3_-¹⁺²	Direct product of C₂ and 3_-¹⁺²	18	3	C2xES-(3,1)	54,11
S₃×C₃²	Direct product of C₃² and S₃	18		S3xC3^2	54,12
C₃×C₃⋊S₃	Direct product of C₃ and C₃⋊S₃	18		C3xC3:S3	54,13

Groups of order 72

		d	ρ	Label	ID
C₃.S₄	The non-split extension by C₃ of S₄ acting via S₄/A₄=C₂	18	6+	C3.S4	72,15
C₂×C₃.A₄	Direct product of C₂ and C₃.A₄	18	3	C2xC3.A4	72,16
C₆×A₄	Direct product of C₆ and A₄	18	3	C6xA4	72,47

Groups of order 108

		d	ρ	Label	ID
He₃⋊C₄	The semidirect product of He₃ and C₄ acting faithfully	18	3	He3:C4	108,15
S₃×D₉	Direct product of S₃ and D₉	18	4+	S3xD9	108,16
C₃².A₄	The non-split extension by C₃² of A₄ acting via A₄/C₂²=C₃	18	3	C3^2.A4	108,21
C₃²⋊A₄	The semidirect product of C₃² and A₄ acting via A₄/C₂²=C₃	18	3	C3^2:A4	108,22
C₂×C₃²⋊C₆	Direct product of C₂ and C₃²⋊C₆	18	6+	C2xC3^2:C6	108,25
C₂×C₉⋊C₆	Direct product of C₂ and C₉⋊C₆; = Aut(D₁₈) = Hol(C₁₈)	18	6+	C2xC9:C6	108,26
C₂×He₃⋊C₂	Direct product of C₂ and He₃⋊C₂	18	3	C2xHe3:C2	108,28
S₃×C₃⋊S₃	Direct product of S₃ and C₃⋊S₃	18		S3xC3:S3	108,39

Groups of order 144

		d	ρ	Label	ID
C₂×C₃.S₄	Direct product of C₂ and C₃.S₄	18	6+	C2xC3.S4	144,109
C₂×F₉	Direct product of C₂ and F₉	18	8+	C2xF9	144,185
C₂×PSU₃(𝔽₂)	Direct product of C₂ and PSU₃(𝔽₂)	18	8+	C2xPSU(3,2)	144,187
C₆×S₄	Direct product of C₆ and S₄	18	3	C6xS4	144,188
C₂×C₃⋊S₄	Direct product of C₂ and C₃⋊S₄	18	6+	C2xC3:S4	144,189
C₂×S₃×A₄	Direct product of C₂, S₃ and A₄	18	6+	C2xS3xA4	144,190

Groups of order 162

		d	ρ	Label	ID
C₉×D₉	Direct product of C₉ and D₉	18	2	C9xD9	162,3
C₃²⋊C₁₈	The semidirect product of C₃² and C₁₈ acting via C₁₈/C₃=C₆	18	6	C3^2:C18	162,4
C₉⋊C₁₈	The semidirect product of C₉ and C₁₈ acting via C₁₈/C₃=C₆	18	6	C9:C18	162,6
C₃²⋊₂D₉	2^nd semidirect product of C₃² and D₉ acting via D₉/C₃=S₃	18	6	C3^2:2D9	162,17
C₂×C₃≀C₃	Direct product of C₂ and C₃≀C₃	18	3	C2xC3wrC3	162,28
C₃×C₃²⋊C₆	Direct product of C₃ and C₃²⋊C₆	18	6	C3xC3^2:C6	162,34
S₃×He₃	Direct product of S₃ and He₃	18	6	S3xHe3	162,35
C₃×C₉⋊C₆	Direct product of C₃ and C₉⋊C₆	18	6	C3xC9:C6	162,36
S₃×3_-¹⁺²	Direct product of S₃ and 3_-¹⁺²	18	6	S3xES-(3,1)	162,37
He₃⋊₅S₃	2^nd semidirect product of He₃ and S₃ acting via S₃/C₃=C₂	18	6	He3:5S3	162,46
C₃²×C₃⋊S₃	Direct product of C₃² and C₃⋊S₃	18		C3^2xC3:S3	162,52

Groups of order 216

		d	ρ	Label	ID
He₃⋊D₄	The semidirect product of He₃ and D₄ acting faithfully	18	6+	He3:D4	216,87
C₃².S₄	The non-split extension by C₃² of S₄ acting via S₄/C₂²=S₃	18	6+	C3^2.S4	216,90
C₆²⋊S₃	4^th semidirect product of C₆² and S₃ acting faithfully	18	6+	C6^2:S3	216,92
C₃²⋊S₄	2^nd semidirect product of C₃² and S₄ acting via S₄/C₂²=S₃	18	3	C3^2:S4	216,95
C₆²⋊C₆	3^rd semidirect product of C₆² and C₆ acting faithfully	18	6+	C6^2:C6	216,99
C₂×C₃²⋊D₆	Direct product of C₂ and C₃²⋊D₆	18	6+	C2xC3^2:D6	216,102
C₂×C₃².A₄	Direct product of C₂ and C₃².A₄	18	3	C2xC3^2.A4	216,106
C₂×C₃²⋊A₄	Direct product of C₂ and C₃²⋊A₄	18	3	C2xC3^2:A4	216,107

Groups of order 288

		d	ρ	Label	ID
C₂×AΓL₁(𝔽₉)	Direct product of C₂ and AΓL₁(𝔽₉)	18	8+	C2xAGammaL(1,9)	288,1027
C₂×S₃×S₄	Direct product of C₂, S₃ and S₄; = Aut(S₃×SL₂(𝔽₃))	18	6+	C2xS3xS4	288,1028
C₂×A₄²	Direct product of C₂, A₄ and A₄	18	9+	C2xA4^2	288,1029

Groups of order 324

		d	ρ	Label	ID
C₉²⋊C₄	The semidirect product of C₉² and C₄ acting faithfully	18	4+	C9^2:C4	324,35
D₉²	Direct product of D₉ and D₉	18	4+	D9^2	324,36
C₃²⋊D₁₈	The semidirect product of C₃² and D₁₈ acting via D₁₈/C₃=D₆	18	12+	C3^2:D18	324,37
C₃³⋊₂A₄	1^st semidirect product of C₃³ and A₄ acting via A₄/C₂²=C₃	18	3	C3^3:2A4	324,60
C₂×C₃≀S₃	Direct product of C₂ and C₃≀S₃	18	3	C2xC3wrS3	324,68
C₂×C₃³⋊C₆	Direct product of C₂ and C₃³⋊C₆	18	6+	C2xC3^3:C6	324,69
C₂×C₃³⋊S₃	Direct product of C₂ and C₃³⋊S₃	18	6+	C2xC3^3:S3	324,77
He₃⋊₄Dic₃	The semidirect product of He₃ and Dic₃ acting via Dic₃/C₃=C₄	18	6	He3:4Dic3	324,113
S₃×C₃²⋊C₆	Direct product of S₃ and C₃²⋊C₆	18	12+	S3xC3^2:C6	324,116
C₃×C₃²⋊D₆	Direct product of C₃ and C₃²⋊D₆	18	6	C3xC3^2:D6	324,117
S₃×C₉⋊C₆	Direct product of S₃ and C₉⋊C₆	18	12+	S3xC9:C6	324,118
He₃⋊₅D₆	1^st semidirect product of He₃ and D₆ acting via D₆/C₃=C₂²	18	12+	He3:5D6	324,121
S₃×He₃⋊C₂	Direct product of S₃ and He₃⋊C₂	18	6	S3xHe3:C2	324,122
C₃⁴⋊₄C₄	4^th semidirect product of C₃⁴ and C₄ acting faithfully	18		C3^4:4C4	324,164
C₃⋊S₃²	Direct product of C₃⋊S₃ and C₃⋊S₃	18		C3:S3^2	324,169

Groups of order 432

		d	ρ	Label	ID
C₆²⋊₅D₆	5^th semidirect product of C₆² and D₆ acting faithfully	18	6+	C6^2:5D6	432,523
C₂×C₃².S₄	Direct product of C₂ and C₃².S₄	18	6+	C2xC3^2.S4	432,533
C₂×C₆²⋊S₃	Direct product of C₂ and C₆²⋊S₃	18	6+	C2xC6^2:S3	432,535
C₂×C₃²⋊S₄	Direct product of C₂ and C₃²⋊S₄	18	3	C2xC3^2:S4	432,538
C₂×C₆²⋊C₆	Direct product of C₂ and C₆²⋊C₆	18	6+	C2xC6^2:C6	432,542
C₂×ASL₂(𝔽₃)	Direct product of C₂ and ASL₂(𝔽₃)	18	8+	C2xASL(2,3)	432,735

Groups of order 486

		d	ρ	Label	ID
C₃²⋊C₉.S₃	1^st non-split extension by C₃²⋊C₉ of S₃ acting faithfully	18	6	C3^2:C9.S3	486,5
C₃²⋊C₉⋊C₆	1^st semidirect product of C₃²⋊C₉ and C₆ acting faithfully	18	6	C3^2:C9:C6	486,6
C₃²⋊C₉⋊S₃	1^st semidirect product of C₃²⋊C₉ and S₃ acting faithfully	18	6	C3^2:C9:S3	486,7
C₃³⋊₁C₁₈	1^st semidirect product of C₃³ and C₁₈ acting via C₁₈/C₃=C₆	18	6	C3^3:1C18	486,18
C₃³⋊₁D₉	1^st semidirect product of C₃³ and D₉ acting via D₉/C₃=S₃	18	6	C3^3:1D9	486,19
C₃⁴⋊C₆	1^st semidirect product of C₃⁴ and C₆ acting faithfully	18	6	C3^4:C6	486,102
C₃⁴.C₆	4^th non-split extension by C₃⁴ of C₆ acting faithfully	18	6	C3^4.C6	486,104
C₉²⋊₈C₆	8^th semidirect product of C₉² and C₆ acting faithfully	18	6	C9^2:8C6	486,110
C₃×C₃³⋊C₆	Direct product of C₃ and C₃³⋊C₆	18	6	C3xC3^3:C6	486,116
S₃×C₃≀C₃	Direct product of S₃ and C₃≀C₃	18	6	S3xC3wrC3	486,117
C₃⁴⋊₃S₃	3^rd semidirect product of C₃⁴ and S₃ acting faithfully	18	6	C3^4:3S3	486,145
C₃⁴.₇S₃	7^th non-split extension by C₃⁴ of S₃ acting faithfully	18	6	C3^4.7S3	486,147
C₉²⋊₆S₃	6^th semidirect product of C₉² and S₃ acting faithfully	18	6	C9^2:6S3	486,153
C₃×C₃³⋊S₃	Direct product of C₃ and C₃³⋊S₃	18	6	C3xC3^3:S3	486,165
C₃⁴⋊₅S₃	5^th semidirect product of C₃⁴ and S₃ acting faithfully	18	6	C3^4:5S3	486,166

On 19 points

Groups of order 19

		d	ρ	Label	ID
C₁₉	Cyclic group	19	1	C19	19,1

Groups of order 38

		d	ρ	Label	ID
D₁₉	Dihedral group	19	2+	D19	38,1

Groups of order 57

		d	ρ	Label	ID
C₁₉⋊C₃	The semidirect product of C₁₉ and C₃ acting faithfully	19	3	C19:C3	57,1

Groups of order 114

		d	ρ	Label	ID
C₁₉⋊C₆	The semidirect product of C₁₉ and C₆ acting faithfully	19	6+	C19:C6	114,1

Groups of order 171

		d	ρ	Label	ID
C₁₉⋊C₉	The semidirect product of C₁₉ and C₉ acting faithfully	19	9	C19:C9	171,3

Groups of order 342

		d	ρ	Label	ID
F₁₉	Frobenius group; = C₁₉ ⋊C₁₈ = AGL₁(𝔽₁₉) = Aut(D₁₉) = Hol(C₁₉)	19	18+	F19	342,7

On 20 points

Groups of order 20

		d	ρ	Label	ID
Dic₅	Dicyclic group; = C₅ ⋊₂ C₄	20	2-	Dic5	20,1
C₂₀	Cyclic group	20	1	C20	20,2
C₂×C₁₀	Abelian group of type [2,10]	20		C2xC10	20,5

Groups of order 40

		d	ρ	Label	ID
C₄×D₅	Direct product of C₄ and D₅	20	2	C4xD5	40,5
D₂₀	Dihedral group	20	2+	D20	40,6
C₅⋊D₄	The semidirect product of C₅ and D₄ acting via D₄/C₂²=C₂	20	2	C5:D4	40,8
C₅×D₄	Direct product of C₅ and D₄	20	2	C5xD4	40,10
C₂²×D₅	Direct product of C₂² and D₅	20		C2^2xD5	40,13

Groups of order 60

		d	ρ	Label	ID
C₅×A₄	Direct product of C₅ and A₄	20	3	C5xA4	60,9

Groups of order 80

		d	ρ	Label	ID
C₄×F₅	Direct product of C₄ and F₅	20	4	C4xF5	80,30
C₄⋊F₅	The semidirect product of C₄ and F₅ acting via F₅/D₅=C₂	20	4	C4:F5	80,31
C₂²⋊F₅	The semidirect product of C₂² and F₅ acting via F₅/D₅=C₂	20	4+	C2^2:F5	80,34
D₄×D₅	Direct product of D₄ and D₅	20	4+	D4xD5	80,39
C₂²×F₅	Direct product of C₂² and F₅	20		C2^2xF5	80,50

Groups of order 100

		d	ρ	Label	ID
C₅×Dic₅	Direct product of C₅ and Dic₅	20	2	C5xDic5	100,6
C₅×F₅	Direct product of C₅ and F₅	20	4	C5xF5	100,9
D₅.D₅	The non-split extension by D₅ of D₅ acting via D₅/C₅=C₂	20	4	D5.D5	100,10
D₅×C₁₀	Direct product of C₁₀ and D₅	20	2	D5xC10	100,14

Groups of order 120

		d	ρ	Label	ID
C₅×S₄	Direct product of C₅ and S₄	20	3	C5xS4	120,37
C₅⋊S₄	The semidirect product of C₅ and S₄ acting via S₄/A₄=C₂	20	6+	C5:S4	120,38
D₅×A₄	Direct product of D₅ and A₄	20	6+	D5xA4	120,39

Groups of order 160

		d	ρ	Label	ID
D₄×F₅	Direct product of D₄ and F₅; = Aut(D₂₀) = Hol(C₂₀)	20	8+	D4xF5	160,207

Groups of order 200

		d	ρ	Label	ID
Dic₅⋊₂D₅	The semidirect product of Dic₅ and D₅ acting through Inn(Dic₅)	20	4+	Dic5:2D5	200,23
C₅⋊D₂₀	The semidirect product of C₅ and D₂₀ acting via D₂₀/D₁₀=C₂	20	4+	C5:D20	200,25
C₅×C₅⋊D₄	Direct product of C₅ and C₅⋊D₄	20	2	C5xC5:D4	200,31
D₅×F₅	Direct product of D₅ and F₅	20	8+	D5xF5	200,41
C₂×C₅²⋊C₄	Direct product of C₂ and C₅²⋊C₄	20	4+	C2xC5^2:C4	200,48
C₂×D₅²	Direct product of C₂, D₅ and D₅	20	4+	C2xD5^2	200,49

Groups of order 240

		d	ρ	Label	ID
C₄×A₅	Direct product of C₄ and A₅	20	3	C4xA5	240,92
C₂²×A₅	Direct product of C₂² and A₅	20		C2^2xA5	240,190
A₄⋊F₅	The semidirect product of A₄ and F₅ acting via F₅/D₅=C₂	20	12+	A4:F5	240,192
A₄×F₅	Direct product of A₄ and F₅	20	12+	A4xF5	240,193
D₅×S₄	Direct product of D₅ and S₄	20	6+	D5xS4	240,194

Groups of order 320

		d	ρ	Label	ID
C₂⁵.D₅	The non-split extension by C₂⁵ of D₅ acting faithfully	20	5	C2^5.D5	320,1583
C₄×C₂⁴⋊C₅	Direct product of C₄ and C₂⁴⋊C₅	20	5	C4xC2^4:C5	320,1584
C₂²×C₂⁴⋊C₅	Direct product of C₂² and C₂⁴⋊C₅	20		C2^2xC2^4:C5	320,1637

Groups of order 400

		d	ρ	Label	ID
C₅²⋊₃C₄²	2^nd semidirect product of C₅² and C₄² acting via C₄²/C₂=C₂×C₄	20	8+	C5^2:3C4^2	400,124
D₁₀⋊F₅	2^nd semidirect product of D₁₀ and F₅ acting via F₅/D₅=C₂	20	8+	D10:F5	400,125
Dic₅⋊F₅	3^rd semidirect product of Dic₅ and F₅ acting via F₅/D₅=C₂	20	8+	Dic5:F5	400,126
D₅²⋊C₄	1^st semidirect product of D₅² and C₄ acting via C₄/C₂=C₂	20	4+	D5^2:C4	400,129
C₂.D₅≀C₂	2^nd central extension by C₂ of D₅≀C₂	20	4	C2.D5wrC2	400,130
(C₅×C₁₀).Q₈	The non-split extension by C₅×C₁₀ of Q₈ acting faithfully	20	8+	(C5xC10).Q8	400,134
C₁₀²⋊₄C₄	4^th semidirect product of C₁₀² and C₄ acting faithfully	20	4+	C10^2:4C4	400,162
D₁₀⋊D₁₀	3^rd semidirect product of D₁₀ and D₁₀ acting via D₁₀/D₅=C₂	20	4+	D10:D10	400,180
F₅²	Direct product of F₅ and F₅; = Hol(F₅)	20	16+	F5^2	400,205
C₂×C₅²⋊C₈	Direct product of C₂ and C₅²⋊C₈	20	8+	C2xC5^2:C8	400,208
C₂×D₅⋊F₅	Direct product of C₂ and D₅⋊F₅	20	8+	C2xD5:F5	400,210
C₂×D₅≀C₂	Direct product of C₂ and D₅≀C₂	20	4+	C2xD5wrC2	400,211
C₂×C₅²⋊Q₈	Direct product of C₂ and C₅²⋊Q₈	20	8+	C2xC5^2:Q8	400,212

Groups of order 480

		d	ρ	Label	ID
C₄×S₅	Direct product of C₄ and S₅; = CO₃(𝔽₅)	20	4	C4xS5	480,943
C₄⋊S₅	The semidirect product of C₄ and S₅ acting via S₅/A₅=C₂	20	6	C4:S5	480,944
C₂²⋊S₅	The semidirect product of C₂² and S₅ acting via S₅/A₅=C₂	20	6+	C2^2:S5	480,951
D₄×A₅	Direct product of D₄ and A₅	20	6+	D4xA5	480,956
C₂²×S₅	Direct product of C₂² and S₅	20		C2^2xS5	480,1186
F₅×S₄	Direct product of F₅ and S₄; = Hol(C₂×C₁₀)	20	12+	F5xS4	480,1189

Groups of order 500

		d	ρ	Label	ID
C₅×D₅.D₅	Direct product of C₅ and D₅.D₅	20	4	C5xD5.D5	500,42
C₅×C₅²⋊C₄	Direct product of C₅ and C₅²⋊C₄	20	4	C5xC5^2:C4	500,44
C₅³⋊₆C₄	6^th semidirect product of C₅³ and C₄ acting faithfully	20	4	C5^3:6C4	500,46
C₅×D₅²	Direct product of C₅, D₅ and D₅	20	4	C5xD5^2	500,50
C₅²⋊₅D₁₀	2^nd semidirect product of C₅² and D₁₀ acting via D₁₀/C₅=C₂²	20	4	C5^2:5D10	500,52

On 21 points

Groups of order 21

		d	ρ	Label	ID
C₂₁	Cyclic group	21	1	C21	21,2

Groups of order 42

		d	ρ	Label	ID
S₃×C₇	Direct product of C₇ and S₃	21	2	S3xC7	42,3
C₃×D₇	Direct product of C₃ and D₇	21	2	C3xD7	42,4
D₂₁	Dihedral group	21	2+	D21	42,5

Groups of order 63

		d	ρ	Label	ID
C₃×C₇⋊C₃	Direct product of C₃ and C₇⋊C₃	21	3	C3xC7:C3	63,3

Groups of order 84

		d	ρ	Label	ID
S₃×D₇	Direct product of S₃ and D₇	21	4+	S3xD7	84,8

Groups of order 126

		d	ρ	Label	ID
C₃×F₇	Direct product of C₃ and F₇	21	6	C3xF7	126,7
S₃×C₇⋊C₃	Direct product of S₃ and C₇⋊C₃	21	6	S3xC7:C3	126,8
C₃⋊F₇	The semidirect product of C₃ and F₇ acting via F₇/C₇⋊C₃=C₂	21	6+	C3:F7	126,9

Groups of order 147

		d	ρ	Label	ID
C₇×C₇⋊C₃	Direct product of C₇ and C₇⋊C₃	21	3	C7xC7:C3	147,3
C₇²⋊₃C₃	3^rd semidirect product of C₇² and C₃ acting faithfully	21	3	C7^2:3C3	147,5

Groups of order 252

		d	ρ	Label	ID
S₃×F₇	Direct product of S₃ and F₇; = Aut(D₂₁) = Hol(C₂₁)	21	12+	S3xF7	252,26

Groups of order 294

		d	ρ	Label	ID
C₇⋊₅F₇	The semidirect product of C₇ and F₇ acting via F₇/C₇⋊C₃=C₂	21	6+	C7:5F7	294,10
C₇²⋊C₆	7^th semidirect product of C₇² and C₆ acting faithfully	21	6+	C7^2:C6	294,14

Groups of order 441

		d	ρ	Label	ID
C₇⋊C₃²	Direct product of C₇⋊C₃ and C₇⋊C₃	21	9	C7:C3^2	441,9

On 22 points

Groups of order 22

		d	ρ	Label	ID
C₂₂	Cyclic group	22	1	C22	22,2

Groups of order 44

		d	ρ	Label	ID
D₂₂	Dihedral group; = C₂×D₁₁	22	2+	D22	44,3

Groups of order 110

		d	ρ	Label	ID
C₂×C₁₁⋊C₅	Direct product of C₂ and C₁₁⋊C₅	22	5	C2xC11:C5	110,2

Groups of order 220

		d	ρ	Label	ID
C₂×F₁₁	Direct product of C₂ and F₁₁; = Aut(D₂₂) = Hol(C₂₂)	22	10+	C2xF11	220,7

Groups of order 242

		d	ρ	Label	ID
C₁₁×D₁₁	Direct product of C₁₁ and D₁₁; = AΣL₁(𝔽₁₂₁)	22	2	C11xD11	242,3

Groups of order 484

		d	ρ	Label	ID
C₁₁²⋊C₄	The semidirect product of C₁₁² and C₄ acting faithfully	22	4+	C11^2:C4	484,8
D₁₁²	Direct product of D₁₁ and D₁₁	22	4+	D11^2	484,9

On 23 points

Groups of order 23

		d	ρ	Label	ID
C₂₃	Cyclic group	23	1	C23	23,1

Groups of order 46

		d	ρ	Label	ID
D₂₃	Dihedral group	23	2+	D23	46,1

Groups of order 253

		d	ρ	Label	ID
C₂₃⋊C₁₁	The semidirect product of C₂₃ and C₁₁ acting faithfully	23	11	C23:C11	253,1

On 24 points

Groups of order 24

		d	ρ	Label	ID
C₃⋊C₈	The semidirect product of C₃ and C₈ acting via C₈/C₄=C₂	24	2	C3:C8	24,1
C₂₄	Cyclic group	24	1	C24	24,2
Dic₆	Dicyclic group; = C₃ ⋊Q₈	24	2-	Dic6	24,4
C₂×Dic₃	Direct product of C₂ and Dic₃	24		C2xDic3	24,7
C₂×C₁₂	Abelian group of type [2,12]	24		C2xC12	24,9
C₃×Q₈	Direct product of C₃ and Q₈	24	2	C3xQ8	24,11
C₂²×C₆	Abelian group of type [2,2,6]	24		C2^2xC6	24,15

Groups of order 48

		d	ρ	Label	ID
S₃×C₈	Direct product of C₈ and S₃	24	2	S3xC8	48,4
C₈⋊S₃	3^rd semidirect product of C₈ and S₃ acting via S₃/C₃=C₂	24	2	C8:S3	48,5
C₂₄⋊C₂	2^nd semidirect product of C₂₄ and C₂ acting faithfully	24	2	C24:C2	48,6
D₂₄	Dihedral group	24	2+	D24	48,7
C₄.Dic₃	The non-split extension by C₄ of Dic₃ acting via Dic₃/C₆=C₂	24	2	C4.Dic3	48,10
D₆⋊C₄	The semidirect product of D₆ and C₄ acting via C₄/C₂=C₂	24		D6:C4	48,14
D₄⋊S₃	The semidirect product of D₄ and S₃ acting via S₃/C₃=C₂	24	4+	D4:S3	48,15
D₄.S₃	The non-split extension by D₄ of S₃ acting via S₃/C₃=C₂	24	4-	D4.S3	48,16
Q₈⋊₂S₃	The semidirect product of Q₈ and S₃ acting via S₃/C₃=C₂	24	4+	Q8:2S3	48,17
C₆.D₄	7^th non-split extension by C₆ of D₄ acting via D₄/C₂²=C₂	24		C6.D4	48,19
C₃×C₂²⋊C₄	Direct product of C₃ and C₂²⋊C₄	24		C3xC2^2:C4	48,21
C₃×M₄(2)	Direct product of C₃ and M₄(2)	24	2	C3xM4(2)	48,24
C₃×D₈	Direct product of C₃ and D₈	24	2	C3xD8	48,25
C₃×SD₁₆	Direct product of C₃ and SD₁₆	24	2	C3xSD16	48,26
S₃×C₂×C₄	Direct product of C₂×C₄ and S₃	24		S3xC2xC4	48,35
C₂×D₁₂	Direct product of C₂ and D₁₂	24		C2xD12	48,36
C₄○D₁₂	Central product of C₄ and D₁₂	24	2	C4oD12	48,37
D₄⋊₂S₃	The semidirect product of D₄ and S₃ acting through Inn(D₄)	24	4-	D4:2S3	48,39
S₃×Q₈	Direct product of S₃ and Q₈	24	4-	S3xQ8	48,40
Q₈⋊₃S₃	The semidirect product of Q₈ and S₃ acting through Inn(Q₈)	24	4+	Q8:3S3	48,41
C₂×C₃⋊D₄	Direct product of C₂ and C₃⋊D₄	24		C2xC3:D4	48,43
C₆×D₄	Direct product of C₆ and D₄	24		C6xD4	48,45
C₃×C₄○D₄	Direct product of C₃ and C₄○D₄	24	2	C3xC4oD4	48,47
S₃×C₂³	Direct product of C₂³ and S₃	24		S3xC2^3	48,51

Groups of order 72

		d	ρ	Label	ID
C₃×C₃⋊C₈	Direct product of C₃ and C₃⋊C₈	24	2	C3xC3:C8	72,12
C₃²⋊₂C₈	The semidirect product of C₃² and C₈ acting via C₈/C₂=C₄	24	4-	C3^2:2C8	72,19
S₃×Dic₃	Direct product of S₃ and Dic₃	24	4-	S3xDic3	72,20
D₆⋊S₃	1^st semidirect product of D₆ and S₃ acting via S₃/C₃=C₂	24	4-	D6:S3	72,22
C₃²⋊₂Q₈	The semidirect product of C₃² and Q₈ acting via Q₈/C₂=C₂²	24	4-	C3^2:2Q8	72,24
C₃×SL₂(𝔽₃)	Direct product of C₃ and SL₂(𝔽₃)	24	2	C3xSL(2,3)	72,25
C₃×Dic₆	Direct product of C₃ and Dic₆	24	2	C3xDic6	72,26
S₃×C₁₂	Direct product of C₁₂ and S₃	24	2	S3xC12	72,27
C₃×D₁₂	Direct product of C₃ and D₁₂	24	2	C3xD12	72,28
C₆×Dic₃	Direct product of C₆ and Dic₃	24		C6xDic3	72,29
S₃×C₂×C₆	Direct product of C₂×C₆ and S₃	24		S3xC2xC6	72,48

Groups of order 96

		d	ρ	Label	ID
C₄²⋊₄S₃	3^rd semidirect product of C₄² and S₃ acting via S₃/C₃=C₂	24	2	C4^2:4S3	96,12
C₂³.₆D₆	1^st non-split extension by C₂³ of D₆ acting via D₆/C₃=C₂²	24	4	C2^3.6D6	96,13
C₁₂.₄₆D₄	3^rd non-split extension by C₁₂ of D₄ acting via D₄/C₂²=C₂	24	4+	C12.46D4	96,30
D₁₂⋊C₄	4^th semidirect product of D₁₂ and C₄ acting via C₄/C₂=C₂	24	4	D12:C4	96,32
C₁₂.D₄	8^th non-split extension by C₁₂ of D₄ acting via D₄/C₂=C₂²	24	4	C12.D4	96,40
C₂³.₇D₆	2^nd non-split extension by C₂³ of D₆ acting via D₆/C₃=C₂²	24	4	C2^3.7D6	96,41
Q₈⋊₃Dic₃	2^nd semidirect product of Q₈ and Dic₃ acting via Dic₃/C₆=C₂	24	4	Q8:3Dic3	96,44
C₃×C₂³⋊C₄	Direct product of C₃ and C₂³⋊C₄	24	4	C3xC2^3:C4	96,49
C₃×C₄.D₄	Direct product of C₃ and C₄.D₄	24	4	C3xC4.D4	96,50
C₃×C₄≀C₂	Direct product of C₃ and C₄≀C₂	24	2	C3xC4wrC2	96,54
A₄⋊C₈	The semidirect product of A₄ and C₈ acting via C₈/C₄=C₂	24	3	A4:C8	96,65
U₂(𝔽₃)	Unitary group on 𝔽₃²; = SL₂(𝔽₃)⋊₂ C₄	24	2	U(2,3)	96,67
C₈×A₄	Direct product of C₈ and A₄	24	3	C8xA4	96,73
S₃×C₂²⋊C₄	Direct product of S₃ and C₂²⋊C₄	24		S3xC2^2:C4	96,87
D₆⋊D₄	1^st semidirect product of D₆ and D₄ acting via D₄/C₂²=C₂	24		D6:D4	96,89
S₃×M₄(2)	Direct product of S₃ and M₄(2)	24	4	S3xM4(2)	96,113
C₈⋊D₆	1^st semidirect product of C₈ and D₆ acting via D₆/C₃=C₂²	24	4+	C8:D6	96,115
S₃×D₈	Direct product of S₃ and D₈	24	4+	S3xD8	96,117
D₈⋊S₃	2^nd semidirect product of D₈ and S₃ acting via S₃/C₃=C₂	24	4	D8:S3	96,118
S₃×SD₁₆	Direct product of S₃ and SD₁₆	24	4	S3xSD16	96,120
Q₈⋊₃D₆	2^nd semidirect product of Q₈ and D₆ acting via D₆/S₃=C₂	24	4+	Q8:3D6	96,121
D₁₂⋊₆C₂²	4^th semidirect product of D₁₂ and C₂² acting via C₂²/C₂=C₂	24	4	D12:6C2^2	96,139
C₂³⋊₂D₆	1^st semidirect product of C₂³ and D₆ acting via D₆/C₃=C₂²	24		C2^3:2D6	96,144
D₄⋊D₆	2^nd semidirect product of D₄ and D₆ acting via D₆/C₆=C₂	24	4+	D4:D6	96,156
C₂⁴⋊₄S₃	1^st semidirect product of C₂⁴ and S₃ acting via S₃/C₃=C₂	24		C2^4:4S3	96,160
C₃×C₂²≀C₂	Direct product of C₃ and C₂²≀C₂	24		C3xC2^2wrC2	96,167
C₃×C₈⋊C₂²	Direct product of C₃ and C₈⋊C₂²	24	4	C3xC8:C2^2	96,183
A₄⋊Q₈	The semidirect product of A₄ and Q₈ acting via Q₈/C₄=C₂	24	6-	A4:Q8	96,185
C₂×A₄⋊C₄	Direct product of C₂ and A₄⋊C₄	24		C2xA4:C4	96,194
C₂×C₄×A₄	Direct product of C₂×C₄ and A₄	24		C2xC4xA4	96,196
Q₈×A₄	Direct product of Q₈ and A₄	24	6-	Q8xA4	96,199
Q₈.A₄	The non-split extension by Q₈ of A₄ acting through Inn(Q₈)	24	4+	Q8.A4	96,201
Q₈⋊A₄	1^st semidirect product of Q₈ and A₄ acting via A₄/C₂²=C₃	24	6-	Q8:A4	96,203
C₂×S₃×D₄	Direct product of C₂, S₃ and D₄	24		C2xS3xD4	96,209
D₄⋊₆D₆	2^nd semidirect product of D₄ and D₆ acting through Inn(D₄)	24	4	D4:6D6	96,211
S₃×C₄○D₄	Direct product of S₃ and C₄○D₄	24	4	S3xC4oD4	96,215
D₄○D₁₂	Central product of D₄ and D₁₂	24	4+	D4oD12	96,216
C₃×2₊¹⁺⁴	Direct product of C₃ and 2₊¹⁺⁴	24	4	C3xES+(2,2)	96,224
C₂³×A₄	Direct product of C₂³ and A₄	24		C2^3xA4	96,228

Groups of order 120

		d	ρ	Label	ID
SL₂(𝔽₅)	Special linear group on 𝔽₅²; = C₂ .A₅ = 2I = <2,3,5>	24	2-	SL(2,5)	120,5

Groups of order 144

		d	ρ	Label	ID
C₁₂.₂₉D₆	3^rd non-split extension by C₁₂ of D₆ acting via D₆/S₃=C₂	24	4	C12.29D6	144,53
C₁₂.₃₁D₆	5^th non-split extension by C₁₂ of D₆ acting via D₆/S₃=C₂	24	4	C12.31D6	144,55
C₃⋊D₂₄	The semidirect product of C₃ and D₂₄ acting via D₂₄/D₁₂=C₂	24	4+	C3:D24	144,57
C₃²⋊₅SD₁₆	3^rd semidirect product of C₃² and SD₁₆ acting via SD₁₆/C₄=C₂²	24	4+	C3^2:5SD16	144,60
C₆.D₁₂	6^th non-split extension by C₆ of D₁₂ acting via D₁₂/D₆=C₂	24		C6.D12	144,65
C₃×C₄.Dic₃	Direct product of C₃ and C₄.Dic₃	24	2	C3xC4.Dic3	144,75
C₃×D₄⋊S₃	Direct product of C₃ and D₄⋊S₃	24	4	C3xD4:S3	144,80
C₃×D₄.S₃	Direct product of C₃ and D₄.S₃	24	4	C3xD4.S3	144,81
C₃×C₆.D₄	Direct product of C₃ and C₆.D₄	24		C3xC6.D4	144,84
C₃⋊S₃.Q₈	The non-split extension by C₃⋊S₃ of Q₈ acting via Q₈/C₂=C₂²	24	4	C3:S3.Q8	144,116
C₃²⋊D₈	The semidirect product of C₃² and D₈ acting via D₈/C₂=D₄	24	4	C3^2:D8	144,117
C₃²⋊₂SD₁₆	The semidirect product of C₃² and SD₁₆ acting via SD₁₆/C₂=D₄	24	4-	C3^2:2SD16	144,118
C₂.PSU₃(𝔽₂)	The central extension by C₂ of PSU₃(𝔽₂)	24	8+	C2.PSU(3,2)	144,120
C₃×GL₂(𝔽₃)	Direct product of C₃ and GL₂(𝔽₃)	24	2	C3xGL(2,3)	144,122
C₆.₆S₄	6^th non-split extension by C₆ of S₄ acting via S₄/A₄=C₂	24	4+	C6.6S4	144,125
S₃×SL₂(𝔽₃)	Direct product of S₃ and SL₂(𝔽₃); = SL₂(ℤ/6ℤ)	24	4-	S3xSL(2,3)	144,128
C₃⋊S₃⋊₃C₈	2^nd semidirect product of C₃⋊S₃ and C₈ acting via C₈/C₄=C₂	24	4	C3:S3:3C8	144,130
C₃²⋊M₄(2)	The semidirect product of C₃² and M₄(2) acting via M₄(2)/C₄=C₄	24	4	C3^2:M4(2)	144,131
C₄×C₃²⋊C₄	Direct product of C₄ and C₃²⋊C₄	24	4	C4xC3^2:C4	144,132
C₄⋊(C₃²⋊C₄)	The semidirect product of C₄ and C₃²⋊C₄ acting via C₃²⋊C₄/C₃⋊S₃=C₂	24	4	C4:(C3^2:C4)	144,133
C₆².C₄	2^nd non-split extension by C₆² of C₄ acting faithfully	24	4-	C6^2.C4	144,135
D₁₂⋊S₃	3^rd semidirect product of D₁₂ and S₃ acting via S₃/C₃=C₂	24	4	D12:S3	144,139
Dic₃.D₆	2^nd non-split extension by Dic₃ of D₆ acting via D₆/S₃=C₂	24	4	Dic3.D6	144,140
D₆.D₆	1^st non-split extension by D₆ of D₆ acting via D₆/C₆=C₂	24	4	D6.D6	144,141
D₆.₆D₆	2^nd non-split extension by D₆ of D₆ acting via D₆/C₆=C₂	24	4+	D6.6D6	144,142
C₄×S₃²	Direct product of C₄, S₃ and S₃	24	4	C4xS3^2	144,143
S₃×D₁₂	Direct product of S₃ and D₁₂	24	4+	S3xD12	144,144
D₆⋊D₆	2^nd semidirect product of D₆ and D₆ acting via D₆/S₃=C₂	24	4	D6:D6	144,145
D₆.₃D₆	3^rd non-split extension by D₆ of D₆ acting via D₆/S₃=C₂	24	4	D6.3D6	144,147
D₆.₄D₆	4^th non-split extension by D₆ of D₆ acting via D₆/S₃=C₂	24	4-	D6.4D6	144,148
C₂×C₆.D₆	Direct product of C₂ and C₆.D₆	24		C2xC6.D6	144,149
C₂×C₃⋊D₁₂	Direct product of C₂ and C₃⋊D₁₂	24		C2xC3:D12	144,151
S₃×C₃⋊D₄	Direct product of S₃ and C₃⋊D₄	24	4	S3xC3:D4	144,153
C₃×C₄○D₁₂	Direct product of C₃ and C₄○D₁₂	24	2	C3xC4oD12	144,161
C₃×S₃×D₄	Direct product of C₃, S₃ and D₄	24	4	C3xS3xD4	144,162
C₃×D₄⋊₂S₃	Direct product of C₃ and D₄⋊₂S₃	24	4	C3xD4:2S3	144,163
C₆×C₃⋊D₄	Direct product of C₆ and C₃⋊D₄	24		C6xC3:D4	144,167
C₂²×C₃²⋊C₄	Direct product of C₂² and C₃²⋊C₄	24		C2^2xC3^2:C4	144,191
C₂²×S₃²	Direct product of C₂², S₃ and S₃	24		C2^2xS3^2	144,192

Groups of order 168

		d	ρ	Label	ID
C₃×F₈	Direct product of C₃ and F₈	24	7	C3xF8	168,44

Groups of order 192

		d	ρ	Label	ID
C₈²⋊C₃	The semidirect product of C₈² and C₃ acting faithfully	24	3	C8^2:C3	192,3
C₃⋊C₂≀C₄	The semidirect product of C₃ and C₂≀C₄ acting via C₂≀C₄/C₂³⋊C₄=C₂	24	8+	C3:C2wrC4	192,30
C₂³.₂D₁₂	2^nd non-split extension by C₂³ of D₁₂ acting via D₁₂/C₃=D₄	24	8+	C2^3.2D12	192,33
C₂³.₃D₁₂	3^rd non-split extension by C₂³ of D₁₂ acting via D₁₂/C₃=D₄	24	8+	C2^3.3D12	192,34
C₂⁴⋊₅Dic₃	1^st semidirect product of C₂⁴ and Dic₃ acting via Dic₃/C₃=C₄	24	4	C2^4:5Dic3	192,95
C₄²⋊₅Dic₃	3^rd semidirect product of C₄² and Dic₃ acting via Dic₃/C₃=C₄	24	4	C4^2:5Dic3	192,104
C₃×C₂≀C₄	Direct product of C₃ and C₂≀C₄	24	4	C3xC2wrC4	192,157
C₃×C₄²⋊C₄	Direct product of C₃ and C₄²⋊C₄	24	4	C3xC4^2:C4	192,159
C₂³.₇S₄	1^st non-split extension by C₂³ of S₄ acting via S₄/C₂²=S₃	24	6	C2^3.7S4	192,180
C₂³.₈S₄	2^nd non-split extension by C₂³ of S₄ acting via S₄/C₂²=S₃	24	6+	C2^3.8S4	192,181
C₂×C₂³.₃A₄	Direct product of C₂ and C₂³.₃A₄	24		C2xC2^3.3A4	192,189
C₄²⋊₄C₄⋊C₃	The semidirect product of C₄²⋊₄C₄ and C₃ acting faithfully	24	6	C4^2:4C4:C3	192,190
C₄²⋊C₁₂	1^st semidirect product of C₄² and C₁₂ acting via C₁₂/C₂=C₆	24	6	C4^2:C12	192,192
C₄²⋊₂C₁₂	2^nd semidirect product of C₄² and C₁₂ acting via C₁₂/C₂=C₆	24	6-	C4^2:2C12	192,193
C₂⁴.A₄	1^st non-split extension by C₂⁴ of A₄ acting faithfully	24	6	C2^4.A4	192,195
(C₂²×C₄).A₄	4^th non-split extension by C₂²×C₄ of A₄ acting faithfully	24	6-	(C2^2xC4).A4	192,196
C₂⁴.₃A₄	3^rd non-split extension by C₂⁴ of A₄ acting faithfully	24	6	C2^4.3A4	192,198
C₂³.₁₉(C₂×A₄)	12^nd non-split extension by C₂³ of C₂×A₄ acting via C₂×A₄/C₂³=C₃	24	6	C2^3.19(C2xA4)	192,199
C₂³⋊D₁₂	The semidirect product of C₂³ and D₁₂ acting via D₁₂/C₃=D₄	24	8+	C2^3:D12	192,300
S₃×C₂³⋊C₄	Direct product of S₃ and C₂³⋊C₄	24	8+	S3xC2^3:C4	192,302
S₃×C₄.D₄	Direct product of S₃ and C₄.D₄	24	8+	S3xC4.D4	192,303
D₁₂⋊₁D₄	1^st semidirect product of D₁₂ and D₄ acting via D₄/C₂=C₂²	24	8+	D12:1D4	192,306
S₃×C₄≀C₂	Direct product of S₃ and C₄≀C₂	24	4	S3xC4wrC2	192,379
Q₈⋊₅D₁₂	3^rd semidirect product of Q₈ and D₁₂ acting via D₁₂/D₆=C₂	24	4+	Q8:5D12	192,381
C₂⁴⋊₆D₆	1^st semidirect product of C₂⁴ and D₆ acting via D₆/C₃=C₂²	24	4	C2^4:6D6	192,591
C₄²⋊₈D₆	6^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	24	4	C4^2:8D6	192,636
D₁₂⋊₁₈D₄	6^th semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	24	8+	D12:18D4	192,757
2₊¹⁺⁴⋊₆S₃	1^st semidirect product of 2₊¹⁺⁴ and S₃ acting via S₃/C₃=C₂	24	8+	ES+(2,2):6S3	192,800
2₊¹⁺⁴⋊₇S₃	2^nd semidirect product of 2₊¹⁺⁴ and S₃ acting via S₃/C₃=C₂	24	8+	ES+(2,2):7S3	192,803
C₃×D₄⋊₄D₄	Direct product of C₃ and D₄⋊₄D₄	24	4	C3xD4:4D4	192,886
C₃×C₂≀C₂²	Direct product of C₃ and C₂≀C₂²	24	4	C3xC2wrC2^2	192,890
C₈×S₄	Direct product of C₈ and S₄	24	3	C8xS4	192,958
C₈⋊S₄	3^rd semidirect product of C₈ and S₄ acting via S₄/A₄=C₂	24	6	C8:S4	192,959
C₈⋊₂S₄	2^nd semidirect product of C₈ and S₄ acting via S₄/A₄=C₂	24	6	C8:2S4	192,960
A₄⋊D₈	The semidirect product of A₄ and D₈ acting via D₈/C₈=C₂	24	6+	A4:D8	192,961
A₄⋊M₄(2)	The semidirect product of A₄ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	24	6	A4:M4(2)	192,968
C₂⁴.₅D₆	4^th non-split extension by C₂⁴ of D₆ acting via D₆/C₂=S₃	24		C2^4.5D6	192,972
A₄⋊SD₁₆	The semidirect product of A₄ and SD₁₆ acting via SD₁₆/D₄=C₂	24	6	A4:SD16	192,973
D₄⋊S₄	The semidirect product of D₄ and S₄ acting via S₄/A₄=C₂	24	6+	D4:S4	192,974
Q₈⋊₃S₄	The semidirect product of Q₈ and S₄ acting via S₄/A₄=C₂	24	6	Q8:3S4	192,976
Q₈.₅S₄	3^rd non-split extension by Q₈ of S₄ acting via S₄/A₄=C₂	24	4+	Q8.5S4	192,988
C₂⁵.S₃	1^st non-split extension by C₂⁵ of S₃ acting faithfully	24		C2^5.S3	192,991
C₂²×C₄²⋊C₃	Direct product of C₂² and C₄²⋊C₃	24		C2^2xC4^2:C3	192,992
A₄×C₂²⋊C₄	Direct product of A₄ and C₂²⋊C₄	24		A4xC2^2:C4	192,994
C₂×C₄²⋊C₆	Direct product of C₂ and C₄²⋊C₆	24	6	C2xC4^2:C6	192,1001
A₄×M₄(2)	Direct product of A₄ and M₄(2)	24	6	A4xM4(2)	192,1011
A₄×D₈	Direct product of A₄ and D₈	24	6+	A4xD8	192,1014
A₄×SD₁₆	Direct product of A₄ and SD₁₆	24	6	A4xSD16	192,1015
C₄²⋊₂A₄	The semidirect product of C₄² and A₄ acting via A₄/C₂²=C₃	24		C4^2:2A4	192,1020
S₃×C₂²≀C₂	Direct product of S₃ and C₂²≀C₂	24		S3xC2^2wrC2	192,1147
S₃×C₈⋊C₂²	Direct product of S₃ and C₈⋊C₂²; = Aut(D₂₄) = Hol(C₂₄)	24	8+	S3xC8:C2^2	192,1331
C₂×C₄×S₄	Direct product of C₂×C₄ and S₄	24		C2xC4xS4	192,1469
C₂×C₄⋊S₄	Direct product of C₂ and C₄⋊S₄	24		C2xC4:S4	192,1470
C₂⁴.₁₀D₆	9^th non-split extension by C₂⁴ of D₆ acting via D₆/C₂=S₃	24	6	C2^4.10D6	192,1471
D₄⋊₂S₄	The semidirect product of D₄ and S₄ acting through Inn(D₄)	24	6	D4:2S4	192,1473
Q₈×S₄	Direct product of Q₈ and S₄	24	6-	Q8xS4	192,1477
Q₈⋊₄S₄	The semidirect product of Q₈ and S₄ acting through Inn(Q₈)	24	6	Q8:4S4	192,1478
C₂×A₄⋊D₄	Direct product of C₂ and A₄⋊D₄	24		C2xA4:D4	192,1488
Q₈⋊S₄	1^st semidirect product of Q₈ and S₄ acting via S₄/C₂²=S₃	24	6	Q8:S4	192,1490
C₂×D₄×A₄	Direct product of C₂, D₄ and A₄	24		C2xD4xA4	192,1497
A₄×C₄○D₄	Direct product of A₄ and C₄○D₄	24	6	A4xC4oD4	192,1501
C₄×C₂²⋊A₄	Direct product of C₄ and C₂²⋊A₄	24		C4xC2^2:A4	192,1505
C₄○D₄⋊A₄	1^st semidirect product of C₄○D₄ and A₄ acting via A₄/C₂²=C₃	24	6	C4oD4:A4	192,1507
S₃×2₊¹⁺⁴	Direct product of S₃ and 2₊¹⁺⁴	24	8+	S3xES+(2,2)	192,1524
C₂³×S₄	Direct product of C₂³ and S₄	24		C2^3xS4	192,1537
C₂⁶⋊C₃	3^rd semidirect product of C₂⁶ and C₃ acting faithfully	24		C2^6:C3	192,1541

Groups of order 216

		d	ρ	Label	ID
C₃×C₃²⋊₂C₈	Direct product of C₃ and C₃²⋊₂C₈	24	4	C3xC3^2:2C8	216,117
C₃³⋊₄C₈	2^nd semidirect product of C₃³ and C₈ acting via C₈/C₂=C₄	24	4	C3^3:4C8	216,118
C₃×S₃×Dic₃	Direct product of C₃, S₃ and Dic₃	24	4	C3xS3xDic3	216,119
C₃×C₆.D₆	Direct product of C₃ and C₆.D₆	24	4	C3xC6.D6	216,120
C₃×D₆⋊S₃	Direct product of C₃ and D₆⋊S₃	24	4	C3xD6:S3	216,121
C₃×C₃⋊D₁₂	Direct product of C₃ and C₃⋊D₁₂	24	4	C3xC3:D12	216,122
C₃×C₃²⋊₂Q₈	Direct product of C₃ and C₃²⋊₂Q₈	24	4	C3xC3^2:2Q8	216,123
C₃³⋊₉(C₂×C₄)	6^th semidirect product of C₃³ and C₂×C₄ acting via C₂×C₄/C₂=C₂²	24	4	C3^3:9(C2xC4)	216,131
C₃³⋊₉D₄	6^th semidirect product of C₃³ and D₄ acting via D₄/C₂=C₂²	24	4	C3^3:9D4	216,132
C₃³⋊₅Q₈	3^rd semidirect product of C₃³ and Q₈ acting via Q₈/C₂=C₂²	24	4	C3^3:5Q8	216,133
C₃×F₉	Direct product of C₃ and F₉	24	8	C3xF9	216,154
C₃⋊F₉	The semidirect product of C₃ and F₉ acting via F₉/C₃²⋊C₄=C₂	24	8	C3:F9	216,155
C₃×PSU₃(𝔽₂)	Direct product of C₃ and PSU₃(𝔽₂)	24	8	C3xPSU(3,2)	216,160
C₃³⋊Q₈	2^nd semidirect product of C₃³ and Q₈ acting faithfully	24	8	C3^3:Q8	216,161
C₃×C₃⋊S₄	Direct product of C₃ and C₃⋊S₄	24	6	C3xC3:S4	216,164
C₃×S₃×A₄	Direct product of C₃, S₃ and A₄	24	6	C3xS3xA4	216,166
C₆×C₃²⋊C₄	Direct product of C₆ and C₃²⋊C₄	24	4	C6xC3^2:C4	216,168
C₂×C₃³⋊C₄	Direct product of C₂ and C₃³⋊C₄	24	4	C2xC3^3:C4	216,169
S₃²×C₆	Direct product of C₆, S₃ and S₃	24	4	S3^2xC6	216,170
C₂×C₃²⋊₄D₆	Direct product of C₂ and C₃²⋊₄D₆	24	4	C2xC3^2:4D6	216,172

Groups of order 240

		d	ρ	Label	ID
C₄.A₅	The central extension by C₄ of A₅	24	2	C4.A5	240,93

Groups of order 288

		d	ρ	Label	ID
C₁₂.₇₀D₁₂	1^st non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	24	4+	C12.70D12	288,207
D₁₂⋊₄Dic₃	4^th semidirect product of D₁₂ and Dic₃ acting via Dic₃/C₆=C₂	24	4	D12:4Dic3	288,216
C₆².₃₁D₄	15^th non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	24	4	C6^2.31D4	288,228
C₆².₃₂D₄	16^th non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	24	4	C6^2.32D4	288,229
C₃×C₄²⋊₄S₃	Direct product of C₃ and C₄²⋊₄S₃	24	2	C3xC4^2:4S3	288,239
C₃×C₂³.₆D₆	Direct product of C₃ and C₂³.₆D₆	24	4	C3xC2^3.6D6	288,240
C₃×C₁₂.D₄	Direct product of C₃ and C₁₂.D₄	24	4	C3xC12.D4	288,267
C₃×C₂³.₇D₆	Direct product of C₃ and C₂³.₇D₆	24	4	C3xC2^3.7D6	288,268
S₃²⋊C₈	The semidirect product of S₃² and C₈ acting via C₈/C₄=C₂	24	4	S3^2:C8	288,374
C₄.S₃≀C₂	1^st non-split extension by C₄ of S₃≀C₂ acting via S₃≀C₂/S₃²=C₂	24	4	C4.S3wrC2	288,375
C₃⋊S₃.₂D₈	1^st non-split extension by C₃⋊S₃ of D₈ acting via D₈/C₄=C₂²	24	4	C3:S3.2D8	288,377
C₆².₂D₄	2^nd non-split extension by C₆² of D₄ acting faithfully	24	4+	C6^2.2D4	288,386
Dic₃≀C₂	Wreath product of Dic₃ by C₂	24	4-	Dic3wrC2	288,389
(C₂²×S₃)⋊A₄	The semidirect product of C₂²×S₃ and A₄ acting faithfully	24	6	(C2^2xS3):A4	288,411
(C₆×C₁₂)⋊C₄	1^st semidirect product of C₆×C₁₂ and C₄ acting faithfully	24	4+	(C6xC12):C4	288,422
C₃⋊S₃.₅D₈	The non-split extension by C₃⋊S₃ of D₈ acting via D₈/D₄=C₂	24	8+	C3:S3.5D8	288,430
(C₂×C₆²)⋊C₄	4^th semidirect product of C₂×C₆² and C₄ acting faithfully	24	4	(C2xC6^2):C4	288,434
(C₂×C₆²).C₄	5^th non-split extension by C₂×C₆² of C₄ acting faithfully	24	4	(C2xC6^2).C4	288,436
C₃⋊C₈⋊₂₀D₆	9^th semidirect product of C₃⋊C₈ and D₆ acting via D₆/S₃=C₂	24	4	C3:C8:20D6	288,466
D₁₂⋊₁₈D₆	2^nd semidirect product of D₁₂ and D₆ acting via D₆/C₆=C₂	24	4+	D12:18D6	288,473
D₁₂⋊D₆	4^th semidirect product of D₁₂ and D₆ acting via D₆/C₃=C₂²	24	8+	D12:D6	288,574
Dic₆⋊D₆	4^th semidirect product of Dic₆ and D₆ acting via D₆/C₃=C₂²	24	8+	Dic6:D6	288,578
D₁₂⋊₅D₆	5^th semidirect product of D₁₂ and D₆ acting via D₆/C₃=C₂²	24	8+	D12:5D6	288,585
C₆².₁₁₆C₂³	111^st non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	24		C6^2.116C2^3	288,622
C₆²⋊₈D₄	5^th semidirect product of C₆² and D₄ acting via D₄/C₂=C₂²	24		C6^2:8D4	288,629
C₃×C₂⁴⋊C₆	Direct product of C₃ and C₂⁴⋊C₆	24	6	C3xC2^4:C6	288,634
C₃×D₁₂⋊₆C₂²	Direct product of C₃ and D₁₂⋊₆C₂²	24	4	C3xD12:6C2^2	288,703
C₃×C₂⁴⋊₄S₃	Direct product of C₃ and C₂⁴⋊₄S₃	24		C3xC2^4:4S3	288,724
C₂.AΓL₁(𝔽₉)	1^st central extension by C₂ of AΓL₁(𝔽₉)	24	8+	C2.AGammaL(1,9)	288,841
S₃×GL₂(𝔽₃)	Direct product of S₃ and GL₂(𝔽₃); = GL₂(ℤ/6ℤ)	24	4	S3xGL(2,3)	288,851
A₄×SL₂(𝔽₃)	Direct product of A₄ and SL₂(𝔽₃)	24	6-	A4xSL(2,3)	288,859
Ω₄⁺ (𝔽₃)	Omega group of + type on 𝔽₃⁴; = SL₂(𝔽₃)⋊A₄	24	4+	Omega+(4,3)	288,860
C₂²⋊F₉	The semidirect product of C₂² and F₉ acting via F₉/C₃²⋊C₄=C₂	24	8+	C2^2:F9	288,867
S₃²⋊Q₈	The semidirect product of S₃² and Q₈ acting via Q₈/C₄=C₂	24	4	S3^2:Q8	288,868
C₄.₄S₃≀C₂	4^th non-split extension by C₄ of S₃≀C₂ acting via S₃≀C₂/C₃²⋊C₄=C₂	24	8+	C4.4S3wrC2	288,869
C₃²⋊D₈⋊C₂	3^rd semidirect product of C₃²⋊D₈ and C₂ acting faithfully	24	4	C3^2:D8:C2	288,872
C₃⋊S₃⋊D₈	The semidirect product of C₃⋊S₃ and D₈ acting via D₈/C₄=C₂²	24	8+	C3:S3:D8	288,873
C₃⋊S₃⋊₂SD₁₆	The semidirect product of C₃⋊S₃ and SD₁₆ acting via SD₁₆/C₄=C₂²	24	8+	C3:S3:2SD16	288,875
C₄×S₃≀C₂	Direct product of C₄ and S₃≀C₂	24	4	C4xS3wrC2	288,877
S₃²⋊D₄	The semidirect product of S₃² and D₄ acting via D₄/C₄=C₂	24	4	S3^2:D4	288,878
C₄⋊S₃≀C₂	The semidirect product of C₄ and S₃≀C₂ acting via S₃≀C₂/C₃²⋊C₄=C₂	24	8+	C4:S3wrC2	288,879
C₂×S₃²⋊C₄	Direct product of C₂ and S₃²⋊C₄	24		C2xS3^2:C4	288,880
C₆².₉D₄	9^th non-split extension by C₆² of D₄ acting faithfully	24	4	C6^2.9D4	288,881
C₆².₁₂D₄	12^nd non-split extension by C₆² of D₄ acting faithfully	24	4	C6^2.12D4	288,884
C₆²⋊D₄	2^nd semidirect product of C₆² and D₄ acting faithfully	24	8+	C6^2:D4	288,890
C₆²⋊Q₈	1^st semidirect product of C₆² and Q₈ acting faithfully	24	8+	C6^2:Q8	288,895
C₃⋊S₃⋊M₄(2)	2^nd semidirect product of C₃⋊S₃ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	24	4	C3:S3:M4(2)	288,931
(C₆×C₁₂)⋊₅C₄	5^th semidirect product of C₆×C₁₂ and C₄ acting faithfully	24	4	(C6xC12):5C4	288,934
D₄×C₃²⋊C₄	Direct product of D₄ and C₃²⋊C₄	24	8+	D4xC3^2:C4	288,936
C₂×C₆²⋊C₄	Direct product of C₂ and C₆²⋊C₄	24		C2xC6^2:C4	288,941
D₁₂⋊₂₃D₆	7^th semidirect product of D₁₂ and D₆ acting via D₆/C₆=C₂	24	4	D12:23D6	288,954
D₁₂⋊₂₇D₆	3^rd semidirect product of D₁₂ and D₆ acting through Inn(D₁₂)	24	4+	D12:27D6	288,956
S₃²×D₄	Direct product of S₃, S₃ and D₄	24	8+	S3^2xD4	288,958
Dic₆⋊₁₂D₆	6^th semidirect product of Dic₆ and D₆ acting via D₆/S₃=C₂	24	8+	Dic6:12D6	288,960
D₁₂⋊₁₃D₆	7^th semidirect product of D₁₂ and D₆ acting via D₆/S₃=C₂	24	8+	D12:13D6	288,962
C₂×Dic₃⋊D₆	Direct product of C₂ and Dic₃⋊D₆	24		C2xDic3:D6	288,977
C₃²⋊2₊¹⁺⁴	The semidirect product of C₃² and 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂³=C₂²	24	4	C3^2:ES+(2,2)	288,978
C₃×C₂³⋊A₄	Direct product of C₃ and C₂³⋊A₄	24	4	C3xC2^3:A4	288,987
C₃×D₄⋊₆D₆	Direct product of C₃ and D₄⋊₆D₆	24	4	C3xD4:6D6	288,994
C₂²×S₃≀C₂	Direct product of C₂² and S₃≀C₂	24		C2^2xS3wrC2	288,1031
C₃×C₂²⋊S₄	Direct product of C₃ and C₂²⋊S₄	24	6	C3xC2^2:S4	288,1035
(C₂×C₆)⋊S₄	2^nd semidirect product of C₂×C₆ and S₄ acting via S₄/C₂²=S₃	24	6	(C2xC6):S4	288,1036

Groups of order 336

		d	ρ	Label	ID
S₃×F₈	Direct product of S₃ and F₈	24	14+	S3xF8	336,211

Groups of order 432

		d	ρ	Label	ID
D₆⋊(C₃²⋊C₄)	The semidirect product of D₆ and C₃²⋊C₄ acting via C₃²⋊C₄/C₃⋊S₃=C₂	24	8+	D6:(C3^2:C4)	432,568
C₃³⋊₅(C₂×C₈)	2^nd semidirect product of C₃³ and C₂×C₈ acting via C₂×C₈/C₂=C₂×C₄	24	8+	C3^3:5(C2xC8)	432,571
C₃³⋊₂M₄(2)	2^nd semidirect product of C₃³ and M₄(2) acting via M₄(2)/C₂=C₂×C₄	24	8+	C3^3:2M4(2)	432,573
C₃×S₃²⋊C₄	Direct product of C₃ and S₃²⋊C₄	24	4	C3xS3^2:C4	432,574
C₃×C₃²⋊D₈	Direct product of C₃ and C₃²⋊D₈	24	4	C3xC3^2:D8	432,576
C₃×C₃²⋊₂SD₁₆	Direct product of C₃ and C₃²⋊₂SD₁₆	24	4	C3xC3^2:2SD16	432,577
C₃⋊S₃.₂D₁₂	1^st non-split extension by C₃⋊S₃ of D₁₂ acting via D₁₂/C₆=C₂²	24	4	C3:S3.2D12	432,579
S₃²⋊Dic₃	The semidirect product of S₃² and Dic₃ acting via Dic₃/C₆=C₂	24	4	S3^2:Dic3	432,580
C₃³⋊D₈	2^nd semidirect product of C₃³ and D₈ acting via D₈/C₂=D₄	24	4	C3^3:D8	432,582
C₃³⋊₆SD₁₆	2^nd semidirect product of C₃³ and SD₁₆ acting via SD₁₆/C₂=D₄	24	4	C3^3:6SD16	432,583
C₃³⋊₇SD₁₆	3^rd semidirect product of C₃³ and SD₁₆ acting via SD₁₆/C₂=D₄	24	4	C3^3:7SD16	432,584
(C₃×C₆).₈D₁₂	1^st non-split extension by C₃×C₆ of D₁₂ acting via D₁₂/C₃=D₄	24	8+	(C3xC6).8D12	432,586
C₃²⋊₂D₂₄	The semidirect product of C₃² and D₂₄ acting via D₂₄/C₆=D₄	24	8+	C3^2:2D24	432,588
C₃³⋊₈SD₁₆	4^th semidirect product of C₃³ and SD₁₆ acting via SD₁₆/C₂=D₄	24	8+	C3^3:8SD16	432,589
S₃×C₆.D₆	Direct product of S₃ and C₆.D₆	24	8+	S3xC6.D6	432,595
S₃×C₃⋊D₁₂	Direct product of S₃ and C₃⋊D₁₂	24	8+	S3xC3:D12	432,598
D₆⋊₄S₃²	1^st semidirect product of D₆ and S₃² acting via S₃²/C₃⋊S₃=C₂	24	8+	D6:4S3^2	432,599
(S₃×C₆)⋊D₆	1^st semidirect product of S₃×C₆ and D₆ acting via D₆/C₃=C₂²	24	8+	(S3xC6):D6	432,601
C₃⋊S₃⋊₄D₁₂	The semidirect product of C₃⋊S₃ and D₁₂ acting via D₁₂/D₆=C₂	24	8+	C3:S3:4D12	432,602
C₃³⋊₆(C₂×Q₈)	3^rd semidirect product of C₃³ and C₂×Q₈ acting via C₂×Q₈/C₂=C₂³	24	8+	C3^3:6(C2xQ8)	432,605
(S₃×C₆).D₆	9^th non-split extension by S₃×C₆ of D₆ acting via D₆/C₃=C₂²	24	8+	(S3xC6).D6	432,606
D₆.₃S₃²	3^rd non-split extension by D₆ of S₃² acting via S₃²/C₃×S₃=C₂	24	8+	D6.3S3^2	432,609
Dic₃.S₃²	4^th non-split extension by Dic₃ of S₃² acting via S₃²/C₃×S₃=C₂	24	8+	Dic3.S3^2	432,612
C₃×C₆².C₄	Direct product of C₃ and C₆².C₄	24	4	C3xC6^2.C4	432,633
C₃×C₆²⋊C₄	Direct product of C₃ and C₆²⋊C₄	24	4	C3xC6^2:C4	432,634
C₃³⋊₁₂M₄(2)	2^nd semidirect product of C₃³ and M₄(2) acting via M₄(2)/C₂²=C₄	24	4	C3^3:12M4(2)	432,640
C₆²⋊₁₁Dic₃	1^st semidirect product of C₆² and Dic₃ acting via Dic₃/C₃=C₄	24	4	C6^2:11Dic3	432,641
C₃×D₆.₃D₆	Direct product of C₃ and D₆.₃D₆	24	4	C3xD6.3D6	432,652
C₃×D₆.₄D₆	Direct product of C₃ and D₆.₄D₆	24	4	C3xD6.4D6	432,653
C₃×S₃×C₃⋊D₄	Direct product of C₃, S₃ and C₃⋊D₄	24	4	C3xS3xC3:D4	432,658
C₃×Dic₃⋊D₆	Direct product of C₃ and Dic₃⋊D₆	24	4	C3xDic3:D6	432,659
C₆².₉₆D₆	44^th non-split extension by C₆² of D₆ acting via D₆/C₃=C₂²	24	4	C6^2.96D6	432,693
C₆²⋊₂₄D₆	5^th semidirect product of C₆² and D₆ acting via D₆/C₃=C₂²	24	4	C6^2:24D6	432,696
S₃×F₉	Direct product of S₃ and F₉	24	16+	S3xF9	432,736
C₃×AΓL₁(𝔽₉)	Direct product of C₃ and AΓL₁(𝔽₉)	24	8	C3xAGammaL(1,9)	432,737
C₃³⋊SD₁₆	2^nd semidirect product of C₃³ and SD₁₆ acting faithfully	24	8	C3^3:SD16	432,738
C₃³⋊₃SD₁₆	3^rd semidirect product of C₃³ and SD₁₆ acting faithfully	24	16+	C3^3:3SD16	432,739
F₉⋊S₃	The semidirect product of F₉ and S₃ acting via S₃/C₃=C₂	24	16+	F9:S3	432,740
S₃×PSU₃(𝔽₂)	Direct product of S₃ and PSU₃(𝔽₂)	24	16+	S3xPSU(3,2)	432,742
C₆²⋊Dic₃	The semidirect product of C₆² and Dic₃ acting faithfully	24	12+	C6^2:Dic3	432,743
A₄×C₃²⋊C₄	Direct product of A₄ and C₃²⋊C₄	24	12+	A4xC3^2:C4	432,744
C₃×S₃×S₄	Direct product of C₃, S₃ and S₄	24	6	C3xS3xS4	432,745
S₃×C₃⋊S₄	Direct product of S₃ and C₃⋊S₄	24	12+	S3xC3:S4	432,747
C₆²⋊₁₀D₆	10^th semidirect product of C₆² and D₆ acting faithfully	24	12+	C6^2:10D6	432,748
S₃²×A₄	Direct product of S₃, S₃ and A₄	24	12+	S3^2xA4	432,749
C₂×S₃×C₃²⋊C₄	Direct product of C₂, S₃ and C₃²⋊C₄	24	8+	C2xS3xC3^2:C4	432,753
C₆×S₃≀C₂	Direct product of C₆ and S₃≀C₂	24	4	C6xS3wrC2	432,754
C₂×C₃³⋊D₄	Direct product of C₂ and C₃³⋊D₄	24	4	C2xC3^3:D4	432,755
C₂×C₃²⋊₂D₁₂	Direct product of C₂ and C₃²⋊₂D₁₂	24	8+	C2xC3^2:2D12	432,756
C₂×S₃³	Direct product of C₂, S₃, S₃ and S₃	24	8+	C2xS3^3	432,759

Groups of order 480

		d	ρ	Label	ID
GL₂(𝔽₅)	General linear group on 𝔽₅²; = SL₂(𝔽₅)⋊₁ C₄ = Aut(C₅²)	24	4	GL(2,5)	480,218
A₅⋊Q₈	The semidirect product of A₅ and Q₈ acting via Q₈/C₄=C₂	24	6	A5:Q8	480,945
C₂×A₅⋊C₄	Direct product of C₂ and A₅⋊C₄	24		C2xA5:C4	480,952

On 25 points

Groups of order 25

		d	ρ	Label	ID
C₂₅	Cyclic group	25	1	C25	25,1
C₅²	Elementary abelian group of type [5,5]	25		C5^2	25,2

Groups of order 50

		d	ρ	Label	ID
D₂₅	Dihedral group	25	2+	D25	50,1
C₅⋊D₅	The semidirect product of C₅ and D₅ acting via D₅/C₅=C₂	25		C5:D5	50,4

Groups of order 100

		d	ρ	Label	ID
C₂₅⋊C₄	The semidirect product of C₂₅ and C₄ acting faithfully	25	4+	C25:C4	100,3
C₅⋊F₅	1^st semidirect product of C₅ and F₅ acting via F₅/C₅=C₄	25		C5:F5	100,11

Groups of order 125

		d	ρ	Label	ID
He₅	Heisenberg group; = C₅² ⋊C₅ = 5₊¹⁺²	25	5	He5	125,3
5_-¹⁺²	Extraspecial group	25	5	ES-(5,1)	125,4

Groups of order 250

		d	ρ	Label	ID
C₅²⋊C₁₀	The semidirect product of C₅² and C₁₀ acting faithfully	25	10+	C5^2:C10	250,5
C₂₅⋊C₁₀	The semidirect product of C₂₅ and C₁₀ acting faithfully	25	10+	C25:C10	250,6
He₅⋊C₂	2^nd semidirect product of He₅ and C₂ acting faithfully	25	5	He5:C2	250,8

Groups of order 300

		d	ρ	Label	ID
C₅×A₅	Direct product of C₅ and A₅; = U₂(𝔽₄)	25	3	C5xA5	300,22

Groups of order 500

		d	ρ	Label	ID
C₅²⋊C₂₀	The semidirect product of C₅² and C₂₀ acting faithfully	25	20+	C5^2:C20	500,17
C₂₅⋊C₂₀	The semidirect product of C₂₅ and C₂₀ acting faithfully; = Aut(D₂₅) = Hol(C₂₅)	25	20+	C25:C20	500,18
He₅⋊C₄	2^nd semidirect product of He₅ and C₄ acting faithfully	25	20+	He5:C4	500,21
C₅²⋊F₅	3^rd semidirect product of C₅² and F₅ acting faithfully	25	10+	C5^2:F5	500,23
He₅⋊₄C₄	4^th semidirect product of He₅ and C₄ acting faithfully; = Aut(5_-¹⁺²)	25	5	He5:4C4	500,25
C₅²⋊D₁₀	The semidirect product of C₅² and D₁₀ acting faithfully	25	10+	C5^2:D10	500,27

On 26 points

Groups of order 26

		d	ρ	Label	ID
C₂₆	Cyclic group	26	1	C26	26,2

Groups of order 52

		d	ρ	Label	ID
D₂₆	Dihedral group; = C₂×D₁₃	26	2+	D26	52,4

Groups of order 78

		d	ρ	Label	ID
C₂×C₁₃⋊C₃	Direct product of C₂ and C₁₃⋊C₃	26	3	C2xC13:C3	78,2

Groups of order 104

		d	ρ	Label	ID
C₂×C₁₃⋊C₄	Direct product of C₂ and C₁₃⋊C₄	26	4+	C2xC13:C4	104,12

Groups of order 156

		d	ρ	Label	ID
C₂×C₁₃⋊C₆	Direct product of C₂ and C₁₃⋊C₆	26	6+	C2xC13:C6	156,8

Groups of order 312

		d	ρ	Label	ID
C₂×F₁₃	Direct product of C₂ and F₁₃; = Aut(D₂₆) = Hol(C₂₆)	26	12+	C2xF13	312,45

Groups of order 338

		d	ρ	Label	ID
C₁₃×D₁₃	Direct product of C₁₃ and D₁₃; = AΣL₁(𝔽₁₆₉)	26	2	C13xD13	338,3

On 27 points

Groups of order 27

		d	ρ	Label	ID
C₂₇	Cyclic group	27	1	C27	27,1
C₃×C₉	Abelian group of type [3,9]	27		C3xC9	27,2
C₃³	Elementary abelian group of type [3,3,3]	27		C3^3	27,5

Groups of order 54

		d	ρ	Label	ID
D₂₇	Dihedral group	27	2+	D27	54,1
C₉⋊S₃	The semidirect product of C₉ and S₃ acting via S₃/C₃=C₂	27		C9:S3	54,7
C₃³⋊C₂	3^rd semidirect product of C₃³ and C₂ acting faithfully	27		C3^3:C2	54,14

Groups of order 81

		d	ρ	Label	ID
C₃²⋊C₉	The semidirect product of C₃² and C₉ acting via C₉/C₃=C₃	27		C3^2:C9	81,3
C₂₇⋊C₃	The semidirect product of C₂₇ and C₃ acting faithfully	27	3	C27:C3	81,6
He₃.C₃	The non-split extension by He₃ of C₃ acting faithfully	27	3	He3.C3	81,8
He₃⋊C₃	2^nd semidirect product of He₃ and C₃ acting faithfully	27	3	He3:C3	81,9
C₃.He₃	4^th central stem extension by C₃ of He₃	27	3	C3.He3	81,10
C₃×He₃	Direct product of C₃ and He₃	27		C3xHe3	81,12
C₃×3_-¹⁺²	Direct product of C₃ and 3_-¹⁺²	27		C3xES-(3,1)	81,13
C₉○He₃	Central product of C₉ and He₃	27	3	C9oHe3	81,14

Groups of order 162

		d	ρ	Label	ID
C₃²⋊D₉	1^st semidirect product of C₃² and D₉ acting via D₉/C₃=S₃	27		C3^2:D9	162,5
C₂₇⋊C₆	The semidirect product of C₂₇ and C₆ acting faithfully	27	6+	C27:C6	162,9
He₃.C₆	1^st non-split extension by He₃ of C₆ acting faithfully	27	3	He3.C6	162,12
He₃.S₃	1^st non-split extension by He₃ of S₃ acting faithfully	27	6+	He3.S3	162,13
He₃.₂C₆	2^nd non-split extension by He₃ of C₆ acting faithfully	27	3	He3.2C6	162,14
He₃.₂S₃	2^nd non-split extension by He₃ of S₃ acting faithfully	27	6+	He3.2S3	162,15
He₃.₃S₃	3^rd non-split extension by He₃ of S₃ acting faithfully	27	6+	He3.3S3	162,20
He₃⋊S₃	3^rd semidirect product of He₃ and S₃ acting faithfully	27	6+	He3:S3	162,21
3_-¹⁺².S₃	The non-split extension by 3_-¹⁺² of S₃ acting faithfully	27	6+	ES-(3,1).S3	162,22
He₃⋊₄S₃	1^st semidirect product of He₃ and S₃ acting via S₃/C₃=C₂	27		He3:4S3	162,40
C₃×He₃⋊C₂	Direct product of C₃ and He₃⋊C₂	27		C3xHe3:C2	162,41
C₃³.S₃	4^th non-split extension by C₃³ of S₃ acting faithfully	27		C3^3.S3	162,42
He₃.₄S₃	The non-split extension by He₃ of S₃ acting via S₃/C₃=C₂	27	6+	He3.4S3	162,43
He₃.₄C₆	The non-split extension by He₃ of C₆ acting via C₆/C₃=C₂	27	3	He3.4C6	162,44

Groups of order 216

		d	ρ	Label	ID
He₃⋊C₈	The semidirect product of He₃ and C₈ acting faithfully	27	6+	He3:C8	216,86
SU₃(𝔽₂)	Special unitary group on 𝔽₂³; = He₃ ⋊Q₈	27	3	SU(3,2)	216,88

Groups of order 243

		d	ρ	Label	ID
C₃³⋊C₉	1^st semidirect product of C₃³ and C₉ acting via C₉/C₃=C₃	27		C3^3:C9	243,13
C₉.₄He₃	2^nd central extension by C₉ of He₃	27	3	C9.4He3	243,16
C₂₇⋊C₉	The semidirect product of C₂₇ and C₉ acting faithfully	27	9	C27:C9	243,22
C₉²⋊C₃	1^st semidirect product of C₉² and C₃ acting faithfully	27	3	C9^2:C3	243,25
C₉²⋊₂C₃	2^nd semidirect product of C₉² and C₃ acting faithfully	27	3	C9^2:2C3	243,26
C₉².C₃	2^nd non-split extension by C₉² of C₃ acting faithfully	27	3	C9^2.C3	243,27
C₃².He₃	4^th non-split extension by C₃² of He₃ acting via He₃/C₃²=C₃	27	9	C3^2.He3	243,28
C₃².₅He₃	5^th non-split extension by C₃² of He₃ acting via He₃/C₃²=C₃	27	9	C3^2.5He3	243,29
C₃².₆He₃	6^th non-split extension by C₃² of He₃ acting via He₃/C₃²=C₃	27	9	C3^2.6He3	243,30
C₃²⋊He₃	The semidirect product of C₃² and He₃ acting via He₃/C₃²=C₃	27		C3^2:He3	243,37
C₃⁴.C₃	3^rd non-split extension by C₃⁴ of C₃ acting faithfully	27		C3^4.C3	243,38
C₃×C₃≀C₃	Direct product of C₃ and C₃≀C₃	27		C3xC3wrC3	243,51
C₉.He₃	1^st non-split extension by C₉ of He₃ acting via He₃/C₃²=C₃	27	3	C9.He3	243,55
C₃³⋊C₃²	2^nd semidirect product of C₃³ and C₃² acting faithfully	27	9	C3^3:C3^2	243,56
He₃.C₃²	4^th non-split extension by He₃ of C₃² acting via C₃²/C₃=C₃	27	9	He3.C3^2	243,57
He₃⋊C₃²	3^rd semidirect product of He₃ and C₃² acting via C₃²/C₃=C₃	27	9	He3:C3^2	243,58
C₃².C₃³	9^th non-split extension by C₃² of C₃³ acting via C₃³/C₃²=C₃	27	9	C3^2.C3^3	243,59
C₉.₂He₃	2^nd non-split extension by C₉ of He₃ acting via He₃/C₃²=C₃	27	9	C9.2He3	243,60
3₊¹⁺⁴	Extraspecial group; = He₃ ○He₃	27	9	ES+(3,2)	243,65
3_-¹⁺⁴	Extraspecial group; = He₃ ○3_-¹⁺²	27	9	ES-(3,2)	243,66

Groups of order 324

		d	ρ	Label	ID
He₃.D₆	1^st non-split extension by He₃ of D₆ acting faithfully	27	6+	He3.D6	324,40
He₃.₂D₆	2^nd non-split extension by He₃ of D₆ acting faithfully	27	6+	He3.2D6	324,41
He₃⋊₆D₆	2^nd semidirect product of He₃ and D₆ acting via D₆/C₃=C₂²	27		He3:6D6	324,124
He₃.₆D₆	The non-split extension by He₃ of D₆ acting via D₆/C₃=C₂²	27	6+	He3.6D6	324,125

Groups of order 351

		d	ρ	Label	ID
C₃³⋊C₁₃	The semidirect product of C₃³ and C₁₃ acting faithfully	27	13	C3^3:C13	351,12

Groups of order 432

		d	ρ	Label	ID
He₃⋊SD₁₆	The semidirect product of He₃ and SD₁₆ acting faithfully	27	6+	He3:SD16	432,520

Groups of order 486

		d	ρ	Label	ID
C₂₇⋊C₁₈	The semidirect product of C₂₇ and C₁₈ acting faithfully; = Aut(D₂₇) = Hol(C₂₇)	27	18+	C27:C18	486,31
C₉²⋊C₆	1^st semidirect product of C₉² and C₆ acting faithfully	27	6+	C9^2:C6	486,35
C₉²⋊S₃	1^st semidirect product of C₉² and S₃ acting faithfully	27	6+	C9^2:S3	486,36
C₉²⋊₂C₆	2^nd semidirect product of C₉² and C₆ acting faithfully	27	6+	C9^2:2C6	486,37
C₉².S₃	2^nd non-split extension by C₉² of S₃ acting faithfully	27	6+	C9^2.S3	486,38
C₉⋊C₉.S₃	2^nd non-split extension by C₉⋊C₉ of S₃ acting faithfully	27	18+	C9:C9.S3	486,39
C₉⋊C₉.₃S₃	3^rd non-split extension by C₉⋊C₉ of S₃ acting faithfully	27	18+	C9:C9.3S3	486,40
C₉⋊C₉⋊S₃	1^st semidirect product of C₉⋊C₉ and S₃ acting faithfully	27	18+	C9:C9:S3	486,41
C₃³⋊₂D₉	2^nd semidirect product of C₃³ and D₉ acting via D₉/C₃=S₃	27		C3^3:2D9	486,52
C₃³.D₉	3^rd non-split extension by C₃³ of D₉ acting via D₉/C₃=S₃	27	6+	C3^3.D9	486,55
C₉²⋊₂S₃	2^nd semidirect product of C₉² and S₃ acting faithfully	27	3	C9^2:2S3	486,61
C₃⁴⋊S₃	1^st semidirect product of C₃⁴ and S₃ acting faithfully	27		C3^4:S3	486,103
C₃⁴.S₃	4^th non-split extension by C₃⁴ of S₃ acting faithfully	27		C3^4.S3	486,105
C₃×C₃≀S₃	Direct product of C₃ and C₃≀S₃	27		C3xC3wrS3	486,115
C₃≀S₃⋊₃C₃	The semidirect product of C₃≀S₃ and C₃ acting through Inn(C₃≀S₃)	27	3	C3wrS3:3C3	486,125
C₃≀C₃⋊C₆	2^nd semidirect product of C₃≀C₃ and C₆ acting faithfully	27	9	C3wrC3:C6	486,126
(C₃×He₃)⋊C₆	8^th semidirect product of C₃×He₃ and C₆ acting faithfully	27	18+	(C3xHe3):C6	486,127
He₃.C₃⋊C₆	3^rd semidirect product of He₃.C₃ and C₆ acting faithfully	27	9	He3.C3:C6	486,128
C₉⋊S₃⋊C₃²	2^nd semidirect product of C₉⋊S₃ and C₃² acting faithfully	27	18+	C9:S3:C3^2	486,129
He₃.(C₃×C₆)	6^th non-split extension by He₃ of C₃×C₆ acting via C₃×C₆/C₃=C₆	27	9	He3.(C3xC6)	486,130
He₃.(C₃×S₃)	5^th non-split extension by He₃ of C₃×S₃ acting via C₃×S₃/C₃=S₃	27	18+	He3.(C3xS3)	486,131
C₃≀C₃.C₆	The non-split extension by C₃≀C₃ of C₆ acting faithfully	27	9	C3wrC3.C6	486,132
C₃⁴⋊₄C₆	4^th semidirect product of C₃⁴ and C₆ acting faithfully	27		C3^4:4C6	486,146
C₃⁴⋊₅C₆	5^th semidirect product of C₃⁴ and C₆ acting faithfully	27		C3^4:5C6	486,167
C₃≀C₃.S₃	The non-split extension by C₃≀C₃ of S₃ acting via S₃/C₃=C₂	27	6+	C3wrC3.S3	486,175
C₃³⋊(C₃×S₃)	4^th semidirect product of C₃³ and C₃×S₃ acting faithfully	27	18+	C3^3:(C3xS3)	486,176
He₃.C₃⋊₂C₆	2^nd semidirect product of He₃.C₃ and C₆ acting faithfully	27	18+	He3.C3:2C6	486,177
He₃⋊(C₃×S₃)	4^th semidirect product of He₃ and C₃×S₃ acting via C₃×S₃/C₃=S₃	27	18+	He3:(C3xS3)	486,178
C₃.He₃⋊C₆	The semidirect product of C₃.He₃ and C₆ acting faithfully	27	18+	C3.He3:C6	486,179
C₃⁴⋊₆S₃	6^th semidirect product of C₃⁴ and S₃ acting faithfully	27		C3^4:6S3	486,183
C₃⁴⋊₇S₃	7^th semidirect product of C₃⁴ and S₃ acting faithfully	27		C3^4:7S3	486,185
C₃≀C₃⋊S₃	2^nd semidirect product of C₃≀C₃ and S₃ acting via S₃/C₃=C₂	27	6+	C3wrC3:S3	486,189
3₊¹⁺⁴⋊C₂	1^st semidirect product of 3₊¹⁺⁴ and C₂ acting faithfully	27	18+	ES+(3,2):C2	486,236
3₊¹⁺⁴⋊₂C₂	2^nd semidirect product of 3₊¹⁺⁴ and C₂ acting faithfully	27	9	ES+(3,2):2C2	486,237
3_-¹⁺⁴⋊C₂	1^st semidirect product of 3_-¹⁺⁴ and C₂ acting faithfully	27	18+	ES-(3,2):C2	486,238
3_-¹⁺⁴⋊₂C₂	2^nd semidirect product of 3_-¹⁺⁴ and C₂ acting faithfully	27	9	ES-(3,2):2C2	486,239
3₊¹⁺⁴⋊₃C₂	3^rd semidirect product of 3₊¹⁺⁴ and C₂ acting faithfully	27	9	ES+(3,2):3C2	486,249

On 28 points

Groups of order 28

		d	ρ	Label	ID
Dic₇	Dicyclic group; = C₇ ⋊C₄	28	2-	Dic7	28,1
C₂₈	Cyclic group	28	1	C28	28,2
C₂×C₁₄	Abelian group of type [2,14]	28		C2xC14	28,4

Groups of order 56

		d	ρ	Label	ID
C₄×D₇	Direct product of C₄ and D₇	28	2	C4xD7	56,4
D₂₈	Dihedral group	28	2+	D28	56,5
C₇⋊D₄	The semidirect product of C₇ and D₄ acting via D₄/C₂²=C₂	28	2	C7:D4	56,7
C₇×D₄	Direct product of C₇ and D₄	28	2	C7xD4	56,9
C₂²×D₇	Direct product of C₂² and D₇	28		C2^2xD7	56,12

Groups of order 84

		d	ρ	Label	ID
C₇⋊C₁₂	The semidirect product of C₇ and C₁₂ acting via C₁₂/C₂=C₆	28	6-	C7:C12	84,1
C₄×C₇⋊C₃	Direct product of C₄ and C₇⋊C₃	28	3	C4xC7:C3	84,2
C₂²×C₇⋊C₃	Direct product of C₂² and C₇⋊C₃	28		C2^2xC7:C3	84,9
C₇×A₄	Direct product of C₇ and A₄	28	3	C7xA4	84,10
C₇⋊A₄	The semidirect product of C₇ and A₄ acting via A₄/C₂²=C₃	28	3	C7:A4	84,11

Groups of order 112

		d	ρ	Label	ID
D₄×D₇	Direct product of D₄ and D₇	28	4+	D4xD7	112,31

Groups of order 168

		d	ρ	Label	ID
C₄×F₇	Direct product of C₄ and F₇	28	6	C4xF7	168,8
C₄⋊F₇	The semidirect product of C₄ and F₇ acting via F₇/C₇⋊C₃=C₂	28	6+	C4:F7	168,9
Dic₇⋊C₆	The semidirect product of Dic₇ and C₆ acting faithfully	28	6	Dic7:C6	168,11
D₄×C₇⋊C₃	Direct product of D₄ and C₇⋊C₃	28	6	D4xC7:C3	168,20
C₇×S₄	Direct product of C₇ and S₄	28	3	C7xS4	168,45
C₇⋊S₄	The semidirect product of C₇ and S₄ acting via S₄/A₄=C₂	28	6+	C7:S4	168,46
C₂²×F₇	Direct product of C₂² and F₇	28		C2^2xF7	168,47
A₄×D₇	Direct product of A₄ and D₇	28	6+	A4xD7	168,48
D₇⋊A₄	The semidirect product of D₇ and A₄ acting via A₄/C₂²=C₃	28	6+	D7:A4	168,49

Groups of order 196

		d	ρ	Label	ID
C₇×Dic₇	Direct product of C₇ and Dic₇	28	2	C7xDic7	196,5
D₇×C₁₄	Direct product of C₁₄ and D₇	28	2	D7xC14	196,10

Groups of order 224

		d	ρ	Label	ID
C₄×F₈	Direct product of C₄ and F₈	28	7	C4xF8	224,173
C₂²×F₈	Direct product of C₂² and F₈	28		C2^2xF8	224,195

Groups of order 252

		d	ρ	Label	ID
A₄×C₇⋊C₃	Direct product of A₄ and C₇⋊C₃	28	9	A4xC7:C3	252,27

Groups of order 336

		d	ρ	Label	ID
D₄×F₇	Direct product of D₄ and F₇; = Aut(D₂₈) = Hol(C₂₈)	28	12+	D4xF7	336,125
D₇×S₄	Direct product of D₇ and S₄	28	6+	D7xS4	336,212

Groups of order 392

		d	ρ	Label	ID
Dic₇⋊₂D₇	The semidirect product of Dic₇ and D₇ acting through Inn(Dic₇)	28	4+	Dic7:2D7	392,19
C₇⋊D₂₈	The semidirect product of C₇ and D₂₈ acting via D₂₈/D₁₄=C₂	28	4+	C7:D28	392,21
C₇×C₇⋊D₄	Direct product of C₇ and C₇⋊D₄	28	2	C7xC7:D4	392,27
C₇²⋊C₈	The semidirect product of C₇² and C₈ acting faithfully	28	8+	C7^2:C8	392,36
C₇²⋊Q₈	The semidirect product of C₇² and Q₈ acting faithfully	28	8+	C7^2:Q8	392,38
C₂×C₇²⋊C₄	Direct product of C₂ and C₇²⋊C₄	28	4+	C2xC7^2:C4	392,40
C₂×D₇²	Direct product of C₂, D₇ and D₇	28	4+	C2xD7^2	392,41

Groups of order 448

		d	ρ	Label	ID
C₄³⋊C₇	The semidirect product of C₄³ and C₇ acting faithfully	28	7	C4^3:C7	448,178
D₄×F₈	Direct product of D₄ and F₈	28	14+	D4xF8	448,1363
C₂⁶⋊C₇	2^nd semidirect product of C₂⁶ and C₇ acting faithfully	28		C2^6:C7	448,1393

On 29 points

Groups of order 29

		d	ρ	Label	ID
C₂₉	Cyclic group	29	1	C29	29,1

Groups of order 58

		d	ρ	Label	ID
D₂₉	Dihedral group	29	2+	D29	58,1

Groups of order 116

		d	ρ	Label	ID
C₂₉⋊C₄	The semidirect product of C₂₉ and C₄ acting faithfully	29	4+	C29:C4	116,3

Groups of order 203

		d	ρ	Label	ID
C₂₉⋊C₇	The semidirect product of C₂₉ and C₇ acting faithfully	29	7	C29:C7	203,1

Groups of order 406

		d	ρ	Label	ID
C₂₉⋊C₁₄	The semidirect product of C₂₉ and C₁₄ acting faithfully	29	14+	C29:C14	406,1

On 30 points

Groups of order 30

		d	ρ	Label	ID
C₃₀	Cyclic group	30	1	C30	30,4

Groups of order 60

		d	ρ	Label	ID
C₆×D₅	Direct product of C₆ and D₅	30	2	C6xD5	60,10
S₃×C₁₀	Direct product of C₁₀ and S₃	30	2	S3xC10	60,11
D₃₀	Dihedral group; = C₂×D₁₅	30	2+	D30	60,12

Groups of order 90

		d	ρ	Label	ID
S₃×C₁₅	Direct product of C₁₅ and S₃	30	2	S3xC15	90,6
C₃×D₁₅	Direct product of C₃ and D₁₅	30	2	C3xD15	90,7

Groups of order 120

		d	ρ	Label	ID
C₆×F₅	Direct product of C₆ and F₅	30	4	C6xF5	120,40
C₂×C₃⋊F₅	Direct product of C₂ and C₃⋊F₅	30	4	C2xC3:F5	120,41
C₂×S₃×D₅	Direct product of C₂, S₃ and D₅	30	4+	C2xS3xD5	120,42
C₁₀×A₄	Direct product of C₁₀ and A₄	30	3	C10xA4	120,43

Groups of order 150

		d	ρ	Label	ID
C₂×C₅²⋊C₃	Direct product of C₂ and C₅²⋊C₃	30	3	C2xC5^2:C3	150,7
D₅×C₁₅	Direct product of C₁₅ and D₅	30	2	D5xC15	150,8
C₅×D₁₅	Direct product of C₅ and D₁₅	30	2	C5xD15	150,11

Groups of order 180

		d	ρ	Label	ID
C₃×C₃⋊F₅	Direct product of C₃ and C₃⋊F₅	30	4	C3xC3:F5	180,21
C₅×C₃²⋊C₄	Direct product of C₅ and C₃²⋊C₄	30	4	C5xC3^2:C4	180,23
C₃²⋊Dic₅	The semidirect product of C₃² and Dic₅ acting via Dic₅/C₅=C₄	30	4	C3^2:Dic5	180,24
C₃²⋊F₅	The semidirect product of C₃² and F₅ acting via F₅/C₅=C₄	30	4+	C3^2:F5	180,25
C₃×S₃×D₅	Direct product of C₃, S₃ and D₅	30	4	C3xS3xD5	180,26
C₅×S₃²	Direct product of C₅, S₃ and S₃	30	4	C5xS3^2	180,28
S₃×D₁₅	Direct product of S₃ and D₁₅	30	4+	S3xD15	180,29
D₁₅⋊S₃	The semidirect product of D₁₅ and S₃ acting via S₃/C₃=C₂	30	4	D15:S3	180,30

Groups of order 240

		d	ρ	Label	ID
C₂×S₃×F₅	Direct product of C₂, S₃ and F₅; = Aut(D₃₀) = Hol(C₃₀)	30	8+	C2xS3xF5	240,195
C₁₀×S₄	Direct product of C₁₀ and S₄	30	3	C10xS4	240,196
C₂×C₅⋊S₄	Direct product of C₂ and C₅⋊S₄	30	6+	C2xC5:S4	240,197
C₂×D₅×A₄	Direct product of C₂, D₅ and A₄	30	6+	C2xD5xA4	240,198
C₃×C₂⁴⋊C₅	Direct product of C₃ and C₂⁴⋊C₅	30	5	C3xC2^4:C5	240,199

Groups of order 300

		d	ρ	Label	ID
C₂×C₅²⋊S₃	Direct product of C₂ and C₅²⋊S₃	30	3	C2xC5^2:S3	300,26
C₂×C₅²⋊C₆	Direct product of C₂ and C₅²⋊C₆	30	6+	C2xC5^2:C6	300,27
C₃×C₅²⋊C₄	Direct product of C₃ and C₅²⋊C₄	30	4	C3xC5^2:C4	300,31
C₁₅⋊₂F₅	2^nd semidirect product of C₁₅ and F₅ acting via F₅/C₅=C₄	30	4	C15:2F5	300,35
C₃×D₅²	Direct product of C₃, D₅ and D₅	30	4	C3xD5^2	300,36
C₅×S₃×D₅	Direct product of C₅, S₃ and D₅	30	4	C5xS3xD5	300,37
D₅×D₁₅	Direct product of D₅ and D₁₅	30	4+	D5xD15	300,39
D₁₅⋊D₅	The semidirect product of D₁₅ and D₅ acting via D₅/C₅=C₂	30	4	D15:D5	300,40
C₅²⋊A₄	The semidirect product of C₅² and A₄ acting via A₄/C₂²=C₃	30	3	C5^2:A4	300,43

Groups of order 360

		d	ρ	Label	ID
C₆×A₅	Direct product of C₆ and A₅	30	3	C6xA5	360,122
C₃×S₃×F₅	Direct product of C₃, S₃ and F₅	30	8	C3xS3xF5	360,126
S₃×C₃⋊F₅	Direct product of S₃ and C₃⋊F₅	30	8	S3xC3:F5	360,128
C₃⋊F₅⋊S₃	The semidirect product of C₃⋊F₅ and S₃ acting via S₃/C₃=C₂	30	8+	C3:F5:S3	360,129
D₅×C₃²⋊C₄	Direct product of D₅ and C₃²⋊C₄	30	8+	D5xC3^2:C4	360,130
C₃²⋊F₅⋊C₂	The semidirect product of C₃²⋊F₅ and C₂ acting faithfully	30	8+	C3^2:F5:C2	360,131
C₅×S₃≀C₂	Direct product of C₅ and S₃≀C₂	30	4	C5xS3wrC2	360,132
S₃²⋊D₅	The semidirect product of S₃² and D₅ acting via D₅/C₅=C₂	30	4	S3^2:D5	360,133
C₃²⋊D₂₀	The semidirect product of C₃² and D₂₀ acting via D₂₀/C₅=D₄	30	8+	C3^2:D20	360,134
S₃²×D₅	Direct product of S₃, S₃ and D₅	30	8+	S3^2xD5	360,137

Groups of order 450

		d	ρ	Label	ID
C₁₅×D₁₅	Direct product of C₁₅ and D₁₅	30	2	C15xD15	450,29

Groups of order 480

		d	ρ	Label	ID
C₂×F₁₆	Direct product of C₂ and F₁₆	30	15+	C2xF16	480,1190
C₂×A₄⋊F₅	Direct product of C₂ and A₄⋊F₅	30	12+	C2xA4:F5	480,1191
C₂×A₄×F₅	Direct product of C₂, A₄ and F₅	30	12+	C2xA4xF5	480,1192
C₂×D₅×S₄	Direct product of C₂, D₅ and S₄	30	6+	C2xD5xS4	480,1193
C₃×C₂⁴⋊D₅	Direct product of C₃ and C₂⁴⋊D₅	30	5	C3xC2^4:D5	480,1194
C₂⁴⋊D₁₅	The semidirect product of C₂⁴ and D₁₅ acting via D₁₅/C₃=D₅	30	10+	C2^4:D15	480,1195
S₃×C₂⁴⋊C₅	Direct product of S₃ and C₂⁴⋊C₅	30	10+	S3xC2^4:C5	480,1196
C₆×C₂⁴⋊C₅	Direct product of C₆ and C₂⁴⋊C₅	30	5	C6xC2^4:C5	480,1204

On 31 points

Groups of order 31

		d	ρ	Label	ID
C₃₁	Cyclic group	31	1	C31	31,1

Groups of order 62

		d	ρ	Label	ID
D₃₁	Dihedral group	31	2+	D31	62,1

Groups of order 93

		d	ρ	Label	ID
C₃₁⋊C₃	The semidirect product of C₃₁ and C₃ acting faithfully	31	3	C31:C3	93,1

Groups of order 155

		d	ρ	Label	ID
C₃₁⋊C₅	The semidirect product of C₃₁ and C₅ acting faithfully	31	5	C31:C5	155,1

Groups of order 186

		d	ρ	Label	ID
C₃₁⋊C₆	The semidirect product of C₃₁ and C₆ acting faithfully	31	6+	C31:C6	186,1

Groups of order 310

		d	ρ	Label	ID
C₃₁⋊C₁₀	The semidirect product of C₃₁ and C₁₀ acting faithfully	31	10+	C31:C10	310,1

Groups of order 465

		d	ρ	Label	ID
C₃₁⋊C₁₅	The semidirect product of C₃₁ and C₁₅ acting faithfully	31	15	C31:C15	465,1

On 32 points

Groups of order 32

		d	ρ	Label	ID
C₃₂	Cyclic group	32	1	C32	32,1
C₂.C₄²	1^st central stem extension by C₂ of C₄²	32		C2.C4^2	32,2
C₄×C₈	Abelian group of type [4,8]	32		C4xC8	32,3
C₈⋊C₄	3^rd semidirect product of C₈ and C₄ acting via C₄/C₂=C₂	32		C8:C4	32,4
Q₈⋊C₄	1^st semidirect product of Q₈ and C₄ acting via C₄/C₂=C₂	32		Q8:C4	32,10
C₄⋊C₈	The semidirect product of C₄ and C₈ acting via C₈/C₄=C₂	32		C4:C8	32,12
C₄.Q₈	1^st non-split extension by C₄ of Q₈ acting via Q₈/C₄=C₂	32		C4.Q8	32,13
C₂.D₈	2^nd central extension by C₂ of D₈	32		C2.D8	32,14
C₂×C₁₆	Abelian group of type [2,16]	32		C2xC16	32,16
Q₃₂	Generalised quaternion group; = C₁₆ .C₂ = Dic₈	32	2-	Q32	32,20
C₂×C₄²	Abelian group of type [2,4,4]	32		C2xC4^2	32,21
C₂×C₄⋊C₄	Direct product of C₂ and C₄⋊C₄	32		C2xC4:C4	32,23
C₄×Q₈	Direct product of C₄ and Q₈	32		C4xQ8	32,26
C₄².C₂	4^th non-split extension by C₄² of C₂ acting faithfully	32		C4^2.C2	32,32
C₄⋊Q₈	The semidirect product of C₄ and Q₈ acting via Q₈/C₄=C₂	32		C4:Q8	32,35
C₂²×C₈	Abelian group of type [2,2,8]	32		C2^2xC8	32,36
C₂×Q₁₆	Direct product of C₂ and Q₁₆	32		C2xQ16	32,41
C₂³×C₄	Abelian group of type [2,2,2,4]	32		C2^3xC4	32,45
C₂²×Q₈	Direct product of C₂² and Q₈	32		C2^2xQ8	32,47
C₂⁵	Elementary abelian group of type [2,2,2,2,2]	32		C2^5	32,51

Groups of order 64

		d	ρ	Label	ID
C₂².M₄(2)	2^nd non-split extension by C₂² of M₄(2) acting via M₄(2)/C₂×C₄=C₂	32		C2^2.M4(2)	64,5
D₄⋊C₈	The semidirect product of D₄ and C₈ acting via C₈/C₄=C₂	32		D4:C8	64,6
C₄².C₂²	1^st non-split extension by C₄² of C₂² acting faithfully	32		C4^2.C2^2	64,10
C₄.D₈	1^st non-split extension by C₄ of D₈ acting via D₈/D₄=C₂	32		C4.D8	64,12
C₄.C₄²	3^rd non-split extension by C₄ of C₄² acting via C₄²/C₂×C₄=C₂	32		C4.C4^2	64,22
C₂².C₄²	2^nd non-split extension by C₂² of C₄² acting via C₄²/C₂×C₄=C₂	32		C2^2.C4^2	64,24
C₂²⋊C₁₆	The semidirect product of C₂² and C₁₆ acting via C₁₆/C₈=C₂	32		C2^2:C16	64,29
D₄.C₈	The non-split extension by D₄ of C₈ acting via C₈/C₄=C₂	32	2	D4.C8	64,31
C₂.D₁₆	1^st central extension by C₂ of D₁₆	32		C2.D16	64,38
D₈.C₄	1^st non-split extension by D₈ of C₄ acting via C₄/C₂=C₂	32	2	D8.C4	64,40
C₈.₁₇D₄	4^th non-split extension by C₈ of D₄ acting via D₄/C₂²=C₂	32	4-	C8.17D4	64,43
C₈.₄Q₈	3^rd non-split extension by C₈ of Q₈ acting via Q₈/C₄=C₂	32	2	C8.4Q8	64,49
M₆(2)	Modular maximal-cyclic group; = C₃₂ ⋊₃ C₂	32	2	M6(2)	64,51
D₃₂	Dihedral group	32	2+	D32	64,52
SD₆₄	Semidihedral group; = C₃₂ ⋊₂ C₂ = QD₆₄	32	2	SD64	64,53
C₄×C₂²⋊C₄	Direct product of C₄ and C₂²⋊C₄	32		C4xC2^2:C4	64,58
C₂³.₇Q₈	2^nd non-split extension by C₂³ of Q₈ acting via Q₈/C₄=C₂	32		C2^3.7Q8	64,61
C₂³.₃₄D₄	5^th non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	32		C2^3.34D4	64,62
C₂³.₈Q₈	3^rd non-split extension by C₂³ of Q₈ acting via Q₈/C₄=C₂	32		C2^3.8Q8	64,66
C₂³.₂₃D₄	2^nd non-split extension by C₂³ of D₄ acting via D₄/C₄=C₂	32		C2^3.23D4	64,67
C₂⁴.C₂²	2^nd non-split extension by C₂⁴ of C₂² acting faithfully	32		C2^4.C2^2	64,69
C₂⁴.₃C₂²	3^rd non-split extension by C₂⁴ of C₂² acting faithfully	32		C2^4.3C2^2	64,71
C₂³⋊₂D₄	1^st semidirect product of C₂³ and D₄ acting via D₄/C₂=C₂²	32		C2^3:2D4	64,73
C₂³⋊Q₈	1^st semidirect product of C₂³ and Q₈ acting via Q₈/C₂=C₂²	32		C2^3:Q8	64,74
C₂³.₁₀D₄	3^rd non-split extension by C₂³ of D₄ acting via D₄/C₂=C₂²	32		C2^3.10D4	64,75
C₂³.Q₈	3^rd non-split extension by C₂³ of Q₈ acting via Q₈/C₂=C₂²	32		C2^3.Q8	64,77
C₂³.₁₁D₄	4^th non-split extension by C₂³ of D₄ acting via D₄/C₂=C₂²	32		C2^3.11D4	64,78
C₂³.₄Q₈	4^th non-split extension by C₂³ of Q₈ acting via Q₈/C₂=C₂²	32		C2^3.4Q8	64,80
C₄×M₄(2)	Direct product of C₄ and M₄(2)	32		C4xM4(2)	64,85
C₈○₂M₄(2)	Central product of C₈ and M₄(2)	32		C8o2M4(2)	64,86
C₂×C₂²⋊C₈	Direct product of C₂ and C₂²⋊C₈	32		C2xC2^2:C8	64,87
(C₂²×C₈)⋊C₂	2^nd semidirect product of C₂²×C₈ and C₂ acting faithfully	32		(C2^2xC8):C2	64,89
C₂×C₄.₁₀D₄	Direct product of C₂ and C₄.₁₀D₄	32		C2xC4.10D4	64,93
C₂×D₄⋊C₄	Direct product of C₂ and D₄⋊C₄	32		C2xD4:C4	64,95
C₂³.₂₄D₄	3^rd non-split extension by C₂³ of D₄ acting via D₄/C₄=C₂	32		C2^3.24D4	64,97
C₂³.₃₆D₄	7^th non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	32		C2^3.36D4	64,98
C₂³.₃₈D₄	9^th non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	32		C2^3.38D4	64,100
C₄⋊M₄(2)	The semidirect product of C₄ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	32		C4:M4(2)	64,104
C₄².₆C₂²	6^th non-split extension by C₄² of C₂² acting faithfully	32		C4^2.6C2^2	64,105
C₂³.₂₅D₄	4^th non-split extension by C₂³ of D₄ acting via D₄/C₄=C₂	32		C2^3.25D4	64,108
M₄(2)⋊C₄	1^st semidirect product of M₄(2) and C₄ acting via C₄/C₂=C₂	32		M4(2):C4	64,109
C₂×C₈.C₄	Direct product of C₂ and C₈.C₄	32		C2xC8.C4	64,110
C₄².₁₂C₄	9^th non-split extension by C₄² of C₄ acting via C₄/C₂=C₂	32		C4^2.12C4	64,112
C₄².₆C₄	3^rd non-split extension by C₄² of C₄ acting via C₄/C₂=C₂	32		C4^2.6C4	64,113
C₄².₇C₂²	7^th non-split extension by C₄² of C₂² acting faithfully	32		C4^2.7C2^2	64,114
C₈×D₄	Direct product of C₈ and D₄	32		C8xD4	64,115
C₈⋊₉D₄	3^rd semidirect product of C₈ and D₄ acting via D₄/C₂²=C₂	32		C8:9D4	64,116
C₈⋊₆D₄	3^rd semidirect product of C₈ and D₄ acting via D₄/C₄=C₂	32		C8:6D4	64,117
C₄×D₈	Direct product of C₄ and D₈	32		C4xD8	64,118
C₄×SD₁₆	Direct product of C₄ and SD₁₆	32		C4xSD16	64,119
SD₁₆⋊C₄	1^st semidirect product of SD₁₆ and C₄ acting via C₄/C₂=C₂	32		SD16:C4	64,121
D₈⋊C₄	3^rd semidirect product of D₈ and C₄ acting via C₄/C₂=C₂; = Aut(SD₃₂)	32		D8:C4	64,123
Q₈⋊D₄	1^st semidirect product of Q₈ and D₄ acting via D₄/C₂²=C₂	32		Q8:D4	64,129
D₄⋊D₄	2^nd semidirect product of D₄ and D₄ acting via D₄/C₂²=C₂	32		D4:D4	64,130
C₂²⋊Q₁₆	The semidirect product of C₂² and Q₁₆ acting via Q₁₆/Q₈=C₂	32		C2^2:Q16	64,132
D₄.₇D₄	2^nd non-split extension by D₄ of D₄ acting via D₄/C₂²=C₂	32		D4.7D4	64,133
C₄⋊D₈	The semidirect product of C₄ and D₈ acting via D₈/D₄=C₂	32		C4:D8	64,140
C₄⋊SD₁₆	The semidirect product of C₄ and SD₁₆ acting via SD₁₆/Q₈=C₂	32		C4:SD16	64,141
D₄.D₄	1^st non-split extension by D₄ of D₄ acting via D₄/C₄=C₂	32		D4.D4	64,142
D₄.₂D₄	2^nd non-split extension by D₄ of D₄ acting via D₄/C₄=C₂	32		D4.2D4	64,144
Q₈.D₄	2^nd non-split extension by Q₈ of D₄ acting via D₄/C₄=C₂	32		Q8.D4	64,145
C₈⋊₈D₄	2^nd semidirect product of C₈ and D₄ acting via D₄/C₂²=C₂	32		C8:8D4	64,146
C₈⋊₇D₄	1^st semidirect product of C₈ and D₄ acting via D₄/C₂²=C₂	32		C8:7D4	64,147
C₈.₁₈D₄	5^th non-split extension by C₈ of D₄ acting via D₄/C₂²=C₂	32		C8.18D4	64,148
C₈⋊D₄	1^st semidirect product of C₈ and D₄ acting via D₄/C₂=C₂²	32		C8:D4	64,149
C₈⋊₂D₄	2^nd semidirect product of C₈ and D₄ acting via D₄/C₂=C₂²	32		C8:2D4	64,150
C₈.D₄	1^st non-split extension by C₈ of D₄ acting via D₄/C₂=C₂²	32		C8.D4	64,151
D₄.₅D₄	5^th non-split extension by D₄ of D₄ acting via D₄/C₄=C₂	32	4-	D4.5D4	64,154
D₄⋊Q₈	1^st semidirect product of D₄ and Q₈ acting via Q₈/C₄=C₂	32		D4:Q8	64,155
D₄⋊₂Q₈	2^nd semidirect product of D₄ and Q₈ acting via Q₈/C₄=C₂	32		D4:2Q8	64,157
D₄.Q₈	The non-split extension by D₄ of Q₈ acting via Q₈/C₄=C₂	32		D4.Q8	64,159
C₂².D₈	3^rd non-split extension by C₂² of D₈ acting via D₈/D₄=C₂	32		C2^2.D8	64,161
C₂³.₄₆D₄	17^th non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	32		C2^3.46D4	64,162
C₂³.₁₉D₄	12^nd non-split extension by C₂³ of D₄ acting via D₄/C₂=C₂²	32		C2^3.19D4	64,163
C₂³.₄₇D₄	18^th non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	32		C2^3.47D4	64,164
C₂³.₄₈D₄	19^th non-split extension by C₂³ of D₄ acting via D₄/C₂²=C₂	32		C2^3.48D4	64,165
C₂³.₂₀D₄	13^rd non-split extension by C₂³ of D₄ acting via D₄/C₂=C₂²	32		C2^3.20D4	64,166
C₄.₄D₈	4^th non-split extension by C₄ of D₈ acting via D₈/C₈=C₂	32		C4.4D8	64,167
C₄².₇₈C₂²	21^st non-split extension by C₄² of C₂² acting via C₂²/C₂=C₂	32		C4^2.78C2^2	64,169
C₄².₂₈C₂²	28^th non-split extension by C₄² of C₂² acting faithfully	32		C4^2.28C2^2	64,170
C₄².₂₉C₂²	29^th non-split extension by C₄² of C₂² acting faithfully	32		C4^2.29C2^2	64,171
C₈⋊₅D₄	2^nd semidirect product of C₈ and D₄ acting via D₄/C₄=C₂	32		C8:5D4	64,173
C₈⋊₄D₄	1^st semidirect product of C₈ and D₄ acting via D₄/C₄=C₂	32		C8:4D4	64,174
C₈.₁₂D₄	8^th non-split extension by C₈ of D₄ acting via D₄/C₄=C₂	32		C8.12D4	64,176
C₈⋊₃D₄	3^rd semidirect product of C₈ and D₄ acting via D₄/C₂=C₂²	32		C8:3D4	64,177
C₈.₂D₄	2^nd non-split extension by C₈ of D₄ acting via D₄/C₂=C₂²	32		C8.2D4	64,178
C₂×M₅(2)	Direct product of C₂ and M₅(2)	32		C2xM5(2)	64,184
D₄○C₁₆	Central product of D₄ and C₁₆	32	2	D4oC16	64,185
C₂×D₁₆	Direct product of C₂ and D₁₆	32		C2xD16	64,186
C₂×SD₃₂	Direct product of C₂ and SD₃₂	32		C2xSD32	64,187
C₄○D₁₆	Central product of C₄ and D₁₆	32	2	C4oD16	64,189
Q₃₂⋊C₂	2^nd semidirect product of Q₃₂ and C₂ acting faithfully	32	4-	Q32:C2	64,191
C₂²×C₂²⋊C₄	Direct product of C₂² and C₂²⋊C₄	32		C2^2xC2^2:C4	64,193
C₂×C₄²⋊C₂	Direct product of C₂ and C₄²⋊C₂	32		C2xC4^2:C2	64,195
C₂×C₄×D₄	Direct product of C₂×C₄ and D₄	32		C2xC4xD4	64,196
C₄×C₄○D₄	Direct product of C₄ and C₄○D₄	32		C4xC4oD4	64,198
C₂³.₃₂C₂³	5^th non-split extension by C₂³ of C₂³ acting via C₂³/C₂²=C₂	32		C2^3.32C2^3	64,200
C₂³.₃₃C₂³	6^th non-split extension by C₂³ of C₂³ acting via C₂³/C₂²=C₂	32		C2^3.33C2^3	64,201
C₂×C₄⋊D₄	Direct product of C₂ and C₄⋊D₄	32		C2xC4:D4	64,203
C₂×C₂²⋊Q₈	Direct product of C₂ and C₂²⋊Q₈	32		C2xC2^2:Q8	64,204
C₂×C₂².D₄	Direct product of C₂ and C₂².D₄	32		C2xC2^2.D4	64,205
C₂×C₄.₄D₄	Direct product of C₂ and C₄.₄D₄	32		C2xC4.4D4	64,207
C₂×C₄²⋊₂C₂	Direct product of C₂ and C₄²⋊₂C₂	32		C2xC4^2:2C2	64,209
C₂³.₃₆C₂³	9^th non-split extension by C₂³ of C₂³ acting via C₂³/C₂²=C₂	32		C2^3.36C2^3	64,210
C₂×C₄⋊₁D₄	Direct product of C₂ and C₄⋊₁D₄	32		C2xC4:1D4	64,211
C₂².₂₆C₂⁴	12^nd central stem extension by C₂² of C₂⁴	32		C2^2.26C2^4	64,213
C₂³.₃₇C₂³	10^th non-split extension by C₂³ of C₂³ acting via C₂³/C₂²=C₂	32		C2^3.37C2^3	64,214
C₂³.₃₈C₂³	11^st non-split extension by C₂³ of C₂³ acting via C₂³/C₂²=C₂	32		C2^3.38C2^3	64,217
C₂².₃₁C₂⁴	17^th central stem extension by C₂² of C₂⁴	32		C2^2.31C2^4	64,218
C₂².₃₃C₂⁴	19^th central stem extension by C₂² of C₂⁴	32		C2^2.33C2^4	64,220
C₂².₃₄C₂⁴	20^th central stem extension by C₂² of C₂⁴	32		C2^2.34C2^4	64,221
C₂².₃₅C₂⁴	21^st central stem extension by C₂² of C₂⁴	32		C2^2.35C2^4	64,222
C₂².₃₆C₂⁴	22^nd central stem extension by C₂² of C₂⁴	32		C2^2.36C2^4	64,223
C₂³.₄₁C₂³	14^th non-split extension by C₂³ of C₂³ acting via C₂³/C₂²=C₂	32		C2^3.41C2^3	64,225
D₄⋊₆D₄	2^nd semidirect product of D₄ and D₄ acting through Inn(D₄)	32		D4:6D4	64,228
Q₈⋊₅D₄	1^st semidirect product of Q₈ and D₄ acting through Inn(Q₈)	32		Q8:5D4	64,229
D₄×Q₈	Direct product of D₄ and Q₈	32		D4xQ8	64,230
Q₈⋊₆D₄	2^nd semidirect product of Q₈ and D₄ acting through Inn(Q₈)	32		Q8:6D4	64,231
C₂².₄₆C₂⁴	32^nd central stem extension by C₂² of C₂⁴	32		C2^2.46C2^4	64,233
C₂².₄₇C₂⁴	33^rd central stem extension by C₂² of C₂⁴	32		C2^2.47C2^4	64,234
D₄⋊₃Q₈	The semidirect product of D₄ and Q₈ acting through Inn(D₄)	32		D4:3Q8	64,235
C₂².₄₉C₂⁴	35^th central stem extension by C₂² of C₂⁴	32		C2^2.49C2^4	64,236
C₂².₅₀C₂⁴	36^th central stem extension by C₂² of C₂⁴	32		C2^2.50C2^4	64,237
C₂².₅₃C₂⁴	39^th central stem extension by C₂² of C₂⁴	32		C2^2.53C2^4	64,240
C₂².₅₆C₂⁴	42^nd central stem extension by C₂² of C₂⁴	32		C2^2.56C2^4	64,243
C₂².₅₇C₂⁴	43^rd central stem extension by C₂² of C₂⁴	32		C2^2.57C2^4	64,244
C₂²×M₄(2)	Direct product of C₂² and M₄(2)	32		C2^2xM4(2)	64,247
C₂×C₈○D₄	Direct product of C₂ and C₈○D₄	32		C2xC8oD4	64,248
C₂²×D₈	Direct product of C₂² and D₈	32		C2^2xD8	64,250
C₂²×SD₁₆	Direct product of C₂² and SD₁₆	32		C2^2xSD16	64,251
C₂×C₄○D₈	Direct product of C₂ and C₄○D₈	32		C2xC4oD8	64,253
C₂×C₈.C₂²	Direct product of C₂ and C₈.C₂²	32		C2xC8.C2^2	64,255
Q₈○D₈	Central product of Q₈ and D₈	32	4-	Q8oD8	64,259
D₄×C₂³	Direct product of C₂³ and D₄	32		D4xC2^3	64,261
C₂²×C₄○D₄	Direct product of C₂² and C₄○D₄	32		C2^2xC4oD4	64,263
C₂×2_-¹⁺⁴	Direct product of C₂ and 2_-¹⁺⁴	32		C2xES-(2,2)	64,265

Groups of order 96

		d	ρ	Label	ID
Q₈⋊Dic₃	The semidirect product of Q₈ and Dic₃ acting via Dic₃/C₂=S₃	32		Q8:Dic3	96,66
C₄×SL₂(𝔽₃)	Direct product of C₄ and SL₂(𝔽₃)	32		C4xSL(2,3)	96,69
C₈.A₄	The central extension by C₈ of A₄	32	2	C8.A4	96,74
C₂×CSU₂(𝔽₃)	Direct product of C₂ and CSU₂(𝔽₃)	32		C2xCSU(2,3)	96,188
C₄.S₄	2^nd non-split extension by C₄ of S₄ acting via S₄/A₄=C₂	32	4-	C4.S4	96,191
C₂²×SL₂(𝔽₃)	Direct product of C₂² and SL₂(𝔽₃)	32		C2^2xSL(2,3)	96,198
C₂×C₄.A₄	Direct product of C₂ and C₄.A₄	32		C2xC4.A4	96,200

Groups of order 128

		d	ρ	Label	ID
C₄²⋊₁C₈	1^st semidirect product of C₄² and C₈ acting via C₈/C₂=C₄	32		C4^2:1C8	128,6
C₄²⋊₆C₈	3^rd semidirect product of C₄² and C₈ acting via C₈/C₄=C₂	32		C4^2:6C8	128,8
C₂³.₂₁C₄²	3^rd non-split extension by C₂³ of C₄² acting via C₄²/C₂×C₄=C₂	32		C2^3.21C4^2	128,14
C₂⁴.₄₆D₄	1^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.46D4	128,16
C₄².₄Q₈	4^th non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	32		C4^2.4Q8	128,17
C₄².₅Q₈	5^th non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	32		C4^2.5Q8	128,18
C₄².₆Q₈	6^th non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	32		C4^2.6Q8	128,20
C₂³.₈D₈	1^st non-split extension by C₂³ of D₈ acting via D₈/C₄=C₂²	32		C2^3.8D8	128,21
C₂⁴.₂Q₈	1^st non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	32		C2^4.2Q8	128,25
C₂³.₃₀D₈	1^st non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	32		C2^3.30D8	128,26
C₂⁴.₄₈D₄	3^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.48D4	128,29
C₂⁴.₃Q₈	2^nd non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	32		C2^4.3Q8	128,30
C₄².₉Q₈	9^th non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	32		C4^2.9Q8	128,32
C₄².₁₀Q₈	10^th non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	32		C4^2.10Q8	128,35
C₂³.C₄²	2^nd non-split extension by C₂³ of C₄² acting via C₄²/C₂²=C₂²	32		C2^3.C4^2	128,37
C₂³.₈C₄²	3^rd non-split extension by C₂³ of C₄² acting via C₄²/C₂²=C₂²	32		C2^3.8C4^2	128,38
C₂³⋊C₁₆	The semidirect product of C₂³ and C₁₆ acting via C₁₆/C₄=C₄	32		C2^3:C16	128,46
C₂³.₁₅M₄(2)	2^nd non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₂²=C₄	32		C2^3.15M4(2)	128,49
(C₂×D₄)⋊C₈	2^nd semidirect product of C₂×D₄ and C₈ acting via C₈/C₂=C₄	32		(C2xD4):C8	128,50
(C₂×C₄²).C₄	6^th non-split extension by C₂×C₄² of C₄ acting faithfully	32		(C2xC4^2).C4	128,51
C₂³.₁M₄(2)	1^st non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₄=C₄	32	4	C2^3.1M4(2)	128,53
C₄²⋊C₈	2^nd semidirect product of C₄² and C₈ acting via C₈/C₂=C₄	32		C4^2:C8	128,56
C₄²⋊₃C₈	3^rd semidirect product of C₄² and C₈ acting via C₈/C₂=C₄	32		C4^2:3C8	128,57
C₂³.₂M₄(2)	2^nd non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₄=C₄	32		C2^3.2M4(2)	128,58
C₂²⋊C₄.C₈	The non-split extension by C₂²⋊C₄ of C₈ acting via C₈/C₂=C₄	32	4	C2^2:C4.C8	128,60
C₂³.₂D₈	2^nd non-split extension by C₂³ of D₈ acting via D₈/C₂=D₄	32	8-	C2^3.2D8	128,72
C₂³.₂SD₁₆	2^nd non-split extension by C₂³ of SD₁₆ acting via SD₁₆/C₂=D₄	32	8-	C2^3.2SD16	128,74
C₂³.₄D₈	4^th non-split extension by C₂³ of D₈ acting via D₈/C₂=D₄	32		C2^3.4D8	128,76
C₂.C₂≀C₄	2^nd central stem extension by C₂ of C₂≀C₄	32		C2.C2wrC4	128,77
(C₂×C₄).D₈	4^th non-split extension by C₂×C₄ of D₈ acting via D₈/C₂=D₄	32		(C2xC4).D8	128,78
C₂².SD₃₂	1^st non-split extension by C₂² of SD₃₂ acting via SD₃₂/Q₁₆=C₂	32		C2^2.SD32	128,79
C₂³.₃₂D₈	3^rd non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	32		C2^3.32D8	128,80
C₂³.Q₁₆	1^st non-split extension by C₂³ of Q₁₆ acting via Q₁₆/C₂=D₄	32		C2^3.Q16	128,83
C₂⁴.₄D₄	4^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.4D4	128,84
(C₂×C₄).Q₁₆	1^st non-split extension by C₂×C₄ of Q₁₆ acting via Q₁₆/C₂=D₄	32		(C2xC4).Q16	128,85
C₂.₇C₂≀C₄	4^th central stem extension by C₂ of C₂≀C₄	32		C2.7C2wrC4	128,86
C₄².(C₂×C₄)	2^nd non-split extension by C₄² of C₂×C₄ acting faithfully	32	8-	C4^2.(C2xC4)	128,88
C₈.₂₅D₈	2^nd non-split extension by C₈ of D₈ acting via D₈/D₄=C₂	32	4-	C8.25D8	128,90
C₈.₁Q₁₆	1^st non-split extension by C₈ of Q₁₆ acting via Q₁₆/C₄=C₂²	32	4	C8.1Q16	128,98
C₁₆.C₈	1^st non-split extension by C₁₆ of C₈ acting via C₈/C₂=C₄	32	4	C16.C8	128,101
C₁₆.₃C₈	1^st non-split extension by C₁₆ of C₈ acting via C₈/C₄=C₂	32	2	C16.3C8	128,105
C₄².₂C₈	2^nd non-split extension by C₄² of C₈ acting via C₈/C₂=C₄	32		C4^2.2C8	128,107
C₄².₇C₈	4^th non-split extension by C₄² of C₈ acting via C₈/C₄=C₂	32		C4^2.7C8	128,108
M₄(2).C₈	2^nd non-split extension by M₄(2) of C₈ acting via C₈/C₄=C₂	32	4	M4(2).C8	128,110
C₈.₁₁C₄²	5^th non-split extension by C₈ of C₄² acting via C₄²/C₂×C₄=C₂	32		C8.11C4^2	128,115
C₂³.₉D₈	2^nd non-split extension by C₂³ of D₈ acting via D₈/C₄=C₂²	32	4	C2^3.9D8	128,116
C₈.₁₃C₄²	7^th non-split extension by C₈ of C₄² acting via C₄²/C₂×C₄=C₂	32	4	C8.13C4^2	128,117
C₈.C₄²	1^st non-split extension by C₈ of C₄² acting via C₄²/C₂²=C₂²	32		C8.C4^2	128,118
M₅(2).C₄	2^nd non-split extension by M₅(2) of C₄ acting via C₄/C₂=C₂	32	4	M5(2).C4	128,120
C₈.₄C₄²	4^th non-split extension by C₈ of C₄² acting via C₄²/C₂²=C₂²	32	4	C8.4C4^2	128,121
C₂⁴.₅D₄	5^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.5D4	128,122
C₂³.₂C₄²	2^nd non-split extension by C₂³ of C₄² acting via C₄²/C₄=C₄	32	4	C2^3.2C4^2	128,123
C₂³.₃C₄²	3^rd non-split extension by C₂³ of C₄² acting via C₄²/C₄=C₄	32	4	C2^3.3C4^2	128,124
C₂⁴.₆D₄	6^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.6D4	128,125
(C₂×Q₈).Q₈	2^nd non-split extension by C₂×Q₈ of Q₈ acting via Q₈/C₂=C₂²	32		(C2xQ8).Q8	128,126
(C₂²×C₈)⋊C₄	4^th semidirect product of C₂²×C₈ and C₄ acting faithfully	32	4	(C2^2xC8):C4	128,127
C₃₂⋊C₄	2^nd semidirect product of C₃₂ and C₄ acting faithfully	32	4	C32:C4	128,130
C₂³.C₁₆	The non-split extension by C₂³ of C₁₆ acting via C₁₆/C₄=C₄	32	4	C2^3.C16	128,132
(C₂×D₄).D₄	4^th non-split extension by C₂×D₄ of D₄ acting faithfully	32	8-	(C2xD4).D4	128,139
(C₂×Q₈).D₄	6^th non-split extension by C₂×Q₈ of D₄ acting faithfully	32	4-	(C2xQ8).D4	128,143
C₈⋊C₄.C₄	3^rd non-split extension by C₈⋊C₄ of C₄ acting faithfully	32	8-	C8:C4.C4	128,145
(C₄×C₈)⋊C₄	3^rd semidirect product of C₄×C₈ and C₄ acting faithfully	32	4	(C4xC8):C4	128,146
D₁₆⋊₃C₄	2^nd semidirect product of D₁₆ and C₄ acting via C₄/C₂=C₂	32	4	D16:3C4	128,150
M₆(2)⋊C₂	6^th semidirect product of M₆(2) and C₂ acting faithfully	32	4+	M6(2):C2	128,151
C₈.C₁₆	1^st non-split extension by C₈ of C₁₆ acting via C₁₆/C₈=C₂	32	2	C8.C16	128,154
C₈.Q₁₆	2^nd non-split extension by C₈ of Q₁₆ acting via Q₁₆/C₄=C₂²	32	4	C8.Q16	128,158
C₂×C₂³⋊C₈	Direct product of C₂ and C₂³⋊C₈	32		C2xC2^3:C8	128,188
C₄².₃₇₁D₄	4^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.371D4	128,190
C₂³.₈M₄(2)	4^th non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₄=C₂²	32		C2^3.8M4(2)	128,191
C₄².₃₉₃D₄	26^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.393D4	128,192
(C₂×C₄)⋊M₄(2)	The semidirect product of C₂×C₄ and M₄(2) acting via M₄(2)/C₂²=C₄	32		(C2xC4):M4(2)	128,195
C₄².₄₂D₄	24^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.42D4	128,196
C₂³⋊M₄(2)	The semidirect product of C₂³ and M₄(2) acting via M₄(2)/C₄=C₄	32		C2^3:M4(2)	128,197
C₄².₄₃D₄	25^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.43D4	128,198
C₂³⋊C₈⋊C₂	15^th semidirect product of C₂³⋊C₈ and C₂ acting faithfully	32		C2^3:C8:C2	128,200
C₄².₃₉₅D₄	28^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.395D4	128,201
C₂⁴.(C₂×C₄)	3^rd non-split extension by C₂⁴ of C₂×C₄ acting faithfully	32		C2^4.(C2xC4)	128,203
C₂⁴.₄₅(C₂×C₄)	10^th non-split extension by C₂⁴ of C₂×C₄ acting via C₂×C₄/C₂=C₂²	32		C2^4.45(C2xC4)	128,204
C₄².₃₇₂D₄	5^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.372D4	128,205
C₄².₃₉₈D₄	31^st non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.398D4	128,210
D₄⋊M₄(2)	1^st semidirect product of D₄ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	32		D4:M4(2)	128,218
D₄⋊₅M₄(2)	3^rd semidirect product of D₄ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	32		D4:5M4(2)	128,222
C₂×C₂².SD₁₆	Direct product of C₂ and C₂².SD₁₆	32		C2xC2^2.SD16	128,230
C₂×C₂³.₃₁D₄	Direct product of C₂ and C₂³.₃₁D₄	32		C2xC2^3.31D4	128,231
C₄².₃₇₅D₄	8^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.375D4	128,232
C₂⁴.₅₃D₄	8^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.53D4	128,233
C₄².₄₀₃D₄	36^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.403D4	128,234
C₄².₄₀₄D₄	37^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.404D4	128,235
C₄².₅₅D₄	37^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.55D4	128,237
C₄².₅₆D₄	38^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.56D4	128,238
C₂⁴.₅₄D₄	9^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.54D4	128,239
C₂⁴.₅₅D₄	10^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.55D4	128,240
C₄².₅₇D₄	39^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.57D4	128,241
C₂⁴.₅₆D₄	11^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.56D4	128,242
C₂⁴.₅₇D₄	12^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.57D4	128,243
C₄².₅₈D₄	40^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.58D4	128,244
C₂⁴.₅₈D₄	13^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.58D4	128,245
C₄².₅₉D₄	41^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.59D4	128,246
C₄².₆₀D₄	42^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.60D4	128,247
C₂⁴.₅₉D₄	14^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.59D4	128,248
C₄².₆₁D₄	43^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.61D4	128,249
C₄².₆₂D₄	44^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.62D4	128,250
C₂⁴.₆₀D₄	15^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.60D4	128,251
C₂⁴.₆₁D₄	16^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.61D4	128,252
C₄².₆₃D₄	45^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.63D4	128,253
C₄².₄₀₇D₄	40^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.407D4	128,259
C₄².₇₀D₄	52^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.70D4	128,265
C₄².₄₁₃D₄	46^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.413D4	128,277
C₄².₈₂D₄	64^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.82D4	128,287
C₄⋊C₄.D₄	1^st non-split extension by C₄⋊C₄ of D₄ acting faithfully	32		C4:C4.D4	128,329
(C₂×C₄)⋊D₈	The semidirect product of C₂×C₄ and D₈ acting via D₈/C₂=D₄	32		(C2xC4):D8	128,330
(C₂×C₄)⋊SD₁₆	1^st semidirect product of C₂×C₄ and SD₁₆ acting via SD₁₆/C₂=D₄	32		(C2xC4):SD16	128,331
C₂³⋊₂SD₁₆	2^nd semidirect product of C₂³ and SD₁₆ acting via SD₁₆/C₂=D₄	32		C2^3:2SD16	128,333
C₂³⋊Q₁₆	The semidirect product of C₂³ and Q₁₆ acting via Q₁₆/C₂=D₄	32		C2^3:Q16	128,334
C₄⋊C₄.₆D₄	6^th non-split extension by C₄⋊C₄ of D₄ acting faithfully	32		C4:C4.6D4	128,335
Q₈⋊D₄⋊C₂	26^th semidirect product of Q₈⋊D₄ and C₂ acting faithfully	32		Q8:D4:C2	128,336
(C₂×C₄)⋊Q₁₆	The semidirect product of C₂×C₄ and Q₁₆ acting via Q₁₆/C₂=D₄	32		(C2xC4):Q16	128,337
C₂⁴.₁₂D₄	12^nd non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.12D4	128,338
C₂³.₅D₈	5^th non-split extension by C₂³ of D₈ acting via D₈/C₂=D₄	32		C2^3.5D8	128,339
C₂⁴.₁₄D₄	14^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.14D4	128,340
C₄⋊C₄.₁₂D₄	12^nd non-split extension by C₄⋊C₄ of D₄ acting faithfully	32		C4:C4.12D4	128,341
(C₂×C₄).₅D₈	5^th non-split extension by C₂×C₄ of D₈ acting via D₈/C₂=D₄	32		(C2xC4).5D8	128,342
(C₂×C₄).SD₁₆	7^th non-split extension by C₂×C₄ of SD₁₆ acting via SD₁₆/C₂=D₄	32		(C2xC4).SD16	128,343
C₂⁴.₁₅D₄	15^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.15D4	128,344
C₂⁴.₁₆D₄	16^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.16D4	128,345
C₂⁴.₁₇D₄	17^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.17D4	128,346
C₄⋊C₄.₁₈D₄	18^th non-split extension by C₄⋊C₄ of D₄ acting faithfully	32		C4:C4.18D4	128,347
C₄⋊C₄.₁₉D₄	19^th non-split extension by C₄⋊C₄ of D₄ acting faithfully	32		C4:C4.19D4	128,348
C₄⋊C₄.₂₀D₄	20^th non-split extension by C₄⋊C₄ of D₄ acting faithfully	32		C4:C4.20D4	128,349
C₂⁴.₁₈D₄	18^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.18D4	128,350
D₄⋊D₈	1^st semidirect product of D₄ and D₈ acting via D₈/D₄=C₂	32		D4:D8	128,351
D₄⋊₂SD₁₆	1^st semidirect product of D₄ and SD₁₆ acting via SD₁₆/D₄=C₂	32		D4:2SD16	128,361
D₄.D₈	1^st non-split extension by D₄ of D₈ acting via D₈/D₄=C₂	32		D4.D8	128,371
C₄².C₂³	1^st non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.C2^3	128,387
C₄².₅C₂³	5^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.5C2^3	128,391
C₂×C₄.₉C₄²	Direct product of C₂ and C₄.₉C₄²	32		C2xC4.9C4^2	128,462
C₂×C₄.₁₀C₄²	Direct product of C₂ and C₄.₁₀C₄²	32		C2xC4.10C4^2	128,463
C₂×C₄²⋊₆C₄	Direct product of C₂ and C₄²⋊₆C₄	32		C2xC4^2:6C4	128,464
C₂⁴.₆₃D₄	18^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.63D4	128,465
C₂⁴.₇Q₈	6^th non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	32		C2^4.7Q8	128,470
C₂×C₂³.₉D₄	Direct product of C₂ and C₂³.₉D₄	32		C2xC2^3.9D4	128,471
C₂⁴.₁₆₂C₂³	2^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.162C2^3	128,472
C₂³.₁₅C₄²	10^th non-split extension by C₂³ of C₄² acting via C₄²/C₂²=C₂²	32		C2^3.15C4^2	128,474
C₂×M₄(2)⋊₄C₄	Direct product of C₂ and M₄(2)⋊₄C₄	32		C2xM4(2):4C4	128,475
C₈.₁₆C₄²	10^th non-split extension by C₈ of C₄² acting via C₄²/C₂×C₄=C₂	32	4	C8.16C4^2	128,479
C₄×C₂³⋊C₄	Direct product of C₄ and C₂³⋊C₄	32		C4xC2^3:C4	128,486
C₄×C₄.D₄	Direct product of C₄ and C₄.D₄	32		C4xC4.D4	128,487
C₂³.₅C₄²	5^th non-split extension by C₂³ of C₄² acting via C₄²/C₄=C₄	32	4	C2^3.5C4^2	128,489
C₄×C₄≀C₂	Direct product of C₄ and C₄≀C₂	32		C4xC4wrC2	128,490
D₄.C₄²	1^st non-split extension by D₄ of C₄² acting via C₄²/C₂×C₄=C₂	32		D4.C4^2	128,491
Q₈.C₄²	2^nd non-split extension by Q₈ of C₄² acting via C₄²/C₂×C₄=C₂	32		Q8.C4^2	128,496
D₄.₃C₄²	3^rd non-split extension by D₄ of C₄² acting via C₄²/C₂×C₄=C₂	32		D4.3C4^2	128,497
C₈.₁₄C₄²	8^th non-split extension by C₈ of C₄² acting via C₄²/C₂×C₄=C₂	32		C8.14C4^2	128,504
C₈.₅C₄²	5^th non-split extension by C₈ of C₄² acting via C₄²/C₂²=C₂²	32		C8.5C4^2	128,505
C₂⁴⋊₃C₈	1^st semidirect product of C₂⁴ and C₈ acting via C₈/C₄=C₂	32		C2^4:3C8	128,511
C₂⁴.₁₆₅C₂³	5^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.165C2^3	128,514
C₄.C₂²≀C₂	2^nd non-split extension by C₄ of C₂²≀C₂ acting via C₂²≀C₂/C₂×D₄=C₂	32		C4.C2^2wrC2	128,516
(C₂³×C₄).C₄	20^th non-split extension by C₂³×C₄ of C₄ acting faithfully	32		(C2^3xC4).C4	128,517
C₂³.₃₅D₈	6^th non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	32		C2^3.35D8	128,518
C₂⁴.₆₆D₄	21^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.66D4	128,521
2₊¹⁺⁴⋊₂C₄	1^st semidirect product of 2₊¹⁺⁴ and C₄ acting via C₄/C₂=C₂	32		ES+(2,2):2C4	128,522
2₊¹⁺⁴.₂C₄	The non-split extension by 2₊¹⁺⁴ of C₄ acting via C₄/C₂=C₂	32	4	ES+(2,2).2C4	128,523
2₊¹⁺⁴⋊₃C₄	2^nd semidirect product of 2₊¹⁺⁴ and C₄ acting via C₄/C₂=C₂	32		ES+(2,2):3C4	128,524
2_-¹⁺⁴⋊₂C₄	1^st semidirect product of 2_-¹⁺⁴ and C₄ acting via C₄/C₂=C₂	32		ES-(2,2):2C4	128,525
2₊¹⁺⁴⋊₄C₄	3^rd semidirect product of 2₊¹⁺⁴ and C₄ acting via C₄/C₂=C₂	32	4	ES+(2,2):4C4	128,526
(C₂²×Q₈)⋊C₄	6^th semidirect product of C₂²×Q₈ and C₄ acting faithfully	32	8-	(C2^2xQ8):C4	128,528
C₂⁴.₁₆₇C₂³	7^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.167C2^3	128,531
C₄².₉₆D₄	78^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.96D4	128,532
C₄².₁₀₂D₄	84^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.102D4	128,538
C₂⁴.₁₉Q₈	3^rd non-split extension by C₂⁴ of Q₈ acting via Q₈/C₄=C₂	32		C2^4.19Q8	128,542
C₂⁴.₉Q₈	8^th non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	32		C2^4.9Q8	128,543
(C₂×D₄).₂₄Q₈	5^th non-split extension by C₂×D₄ of Q₈ acting via Q₈/C₄=C₂	32	4	(C2xD4).24Q8	128,544
(C₂×C₈).₁₀₃D₄	71^st non-split extension by C₂×C₈ of D₄ acting via D₄/C₂=C₂²	32	4	(C2xC8).103D4	128,545
C₈○D₄⋊C₄	1^st semidirect product of C₈○D₄ and C₄ acting via C₄/C₂=C₂	32	4	C8oD4:C4	128,546
C₂⁴.₁₆₉C₂³	9^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.169C2^3	128,552
(C₂²×C₄).₂₇₅D₄	160^th non-split extension by C₂²×C₄ of D₄ acting via D₄/C₂=C₂²	32		(C2^2xC4).275D4	128,553
(C₂²×C₄).₂₇₆D₄	161^st non-split extension by C₂²×C₄ of D₄ acting via D₄/C₂=C₂²	32		(C2^2xC4).276D4	128,554
C₂⁴.₇₀D₄	25^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.70D4	128,558
(C₂×Q₈).₂₁₁D₄	19^th non-split extension by C₂×Q₈ of D₄ acting via D₄/C₂²=C₂	32	8-	(C2xQ8).211D4	128,562
C₈.(C₄⋊C₄)	4^th non-split extension by C₈ of C₄⋊C₄ acting via C₄⋊C₄/C₂²=C₂²	32	4	C8.(C4:C4)	128,565
C₂⁴.₁₀Q₈	9^th non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	32		C2^4.10Q8	128,587
C₂⁴.₂₁D₄	21^st non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.21D4	128,588
C₄.₁₀D₄⋊₂C₄	1^st semidirect product of C₄.₁₀D₄ and C₄ acting via C₄/C₂=C₂	32		C4.10D4:2C4	128,589
M₄(2).₄₀D₄	4^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32	4	M4(2).40D4	128,590
C₄≀C₂⋊C₄	1^st semidirect product of C₄≀C₂ and C₄ acting via C₄/C₂=C₂	32		C4wrC2:C4	128,591
C₄²⋊₉(C₂×C₄)	4^th semidirect product of C₄² and C₂×C₄ acting via C₂×C₄/C₂=C₂²	32		C4^2:9(C2xC4)	128,592
M₄(2).₄₂D₄	6^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32		M4(2).42D4	128,598
C₂⁴.₂₂D₄	22^nd non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.22D4	128,599
(C₂×D₄).Q₈	9^th non-split extension by C₂×D₄ of Q₈ acting via Q₈/C₂=C₂²	32	4	(C2xD4).Q8	128,600
C₂⁴.₇₂D₄	27^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.72D4	128,603
M₄(2).₄₃D₄	7^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32		M4(2).43D4	128,608
M₄(2).₄₄D₄	8^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32	4	M4(2).44D4	128,613
C₈.C₂²⋊C₄	2^nd semidirect product of C₈.C₂² and C₄ acting via C₄/C₂=C₂	32		C8.C2^2:C4	128,614
C₈⋊C₂²⋊C₄	2^nd semidirect product of C₈⋊C₂² and C₄ acting via C₄/C₂=C₂	32		C8:C2^2:C4	128,615
C₂⁴.₂₃D₄	23^rd non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.23D4	128,617
C₄⋊Q₈⋊₁₅C₄	10^th semidirect product of C₄⋊Q₈ and C₄ acting via C₄/C₂=C₂	32		C4:Q8:15C4	128,618
C₄.₄D₄⋊₁₃C₄	7^th semidirect product of C₄.₄D₄ and C₄ acting via C₄/C₂=C₂	32		C4.4D4:13C4	128,620
C₂⁴.₂₆D₄	26^th non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.26D4	128,622
C₄²⋊₇D₄	1^st semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	32		C4^2:7D4	128,629
C₂⁴.₁₇₄C₂³	14^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.174C2^3	128,631
M₄(2)⋊₂₀D₄	7^th semidirect product of M₄(2) and D₄ acting via D₄/C₂²=C₂	32		M4(2):20D4	128,632
M₄(2).₄₅D₄	9^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32		M4(2).45D4	128,633
M₄(2).₄₆D₄	10^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32	8-	M4(2).46D4	128,634
C₄².₆D₄	6^th non-split extension by C₄² of D₄ acting faithfully	32	8-	C4^2.6D4	128,637
M₄(2).₄₈D₄	12^nd non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32		M4(2).48D4	128,639
C₄.(C₄×D₄)	5^th non-split extension by C₄ of C₄×D₄ acting via C₄×D₄/C₄²=C₂	32	8-	C4.(C4xD4)	128,641
C₄².₇D₄	7^th non-split extension by C₄² of D₄ acting faithfully	32	8-	C4^2.7D4	128,644
M₄(2).₅₀D₄	14^th non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32	8-	M4(2).50D4	128,647
M₄(2).₃Q₈	1^st non-split extension by M₄(2) of Q₈ acting via Q₈/C₄=C₂	32		M4(2).3Q8	128,654
M₄(2).₂₄D₄	5^th non-split extension by M₄(2) of D₄ acting via D₄/C₄=C₂	32		M4(2).24D4	128,661
C₄.D₄⋊₃C₄	2^nd semidirect product of C₄.D₄ and C₄ acting via C₄/C₂=C₂	32		C4.D4:3C4	128,663
C₄².₄₂₈D₄	61^st non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.428D4	128,669
C₄².₁₀₇D₄	89^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.107D4	128,670
C₄².₆₂Q₈	22^nd non-split extension by C₄² of Q₈ acting via Q₈/C₄=C₂	32		C4^2.62Q8	128,677
C₄².₂₈Q₈	28^th non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	32		C4^2.28Q8	128,678
M₄(2).₂₇D₄	8^th non-split extension by M₄(2) of D₄ acting via D₄/C₄=C₂	32	4	M4(2).27D4	128,685
C₄³⋊C₂	7^th semidirect product of C₄³ and C₂ acting faithfully	32		C4^3:C2	128,694
C₄²⋊₈D₄	2^nd semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	32		C4^2:8D4	128,695
C₂⁴.₁₇₅C₂³	15^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.175C2^3	128,696
M₄(2)⋊₁₂D₄	6^th semidirect product of M₄(2) and D₄ acting via D₄/C₄=C₂	32		M4(2):12D4	128,697
C₄².₁₁₅D₄	97^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.115D4	128,699
C₄².₃₂₆D₄	22^nd non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	32		C4^2.326D4	128,706
C₄².₁₁₆D₄	98^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.116D4	128,707
M₄(2).₃₀D₄	11^st non-split extension by M₄(2) of D₄ acting via D₄/C₄=C₂	32	4	M4(2).30D4	128,708
M₄(2).₃₁D₄	12^nd non-split extension by M₄(2) of D₄ acting via D₄/C₄=C₂	32		M4(2).31D4	128,709
M₄(2).₃₂D₄	13^rd non-split extension by M₄(2) of D₄ acting via D₄/C₄=C₂	32		M4(2).32D4	128,710
M₄(2)⋊₁₃D₄	7^th semidirect product of M₄(2) and D₄ acting via D₄/C₄=C₂	32		M4(2):13D4	128,712
M₄(2)⋊₇Q₈	5^th semidirect product of M₄(2) and Q₈ acting via Q₈/C₄=C₂	32		M4(2):7Q8	128,718
C₄²⋊₁₆Q₈	3^rd semidirect product of C₄² and Q₈ acting via Q₈/C₄=C₂	32		C4^2:16Q8	128,726
C₄²⋊Q₈	1^st semidirect product of C₄² and Q₈ acting via Q₈/C₂=C₂²	32		C4^2:Q8	128,727
C₂⁴.₁₇₆C₂³	16^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.176C2^3	128,728
C₄².₁₂₉D₄	111^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.129D4	128,735
C₄²⋊₁₀D₄	4^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	32		C4^2:10D4	128,736
C₄².₁₃₀D₄	112^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.130D4	128,737
M₄(2)⋊D₄	3^rd semidirect product of M₄(2) and D₄ acting via D₄/C₂=C₂²	32		M4(2):D4	128,738
M₄(2)⋊₄D₄	4^th semidirect product of M₄(2) and D₄ acting via D₄/C₂=C₂²	32		M4(2):4D4	128,739
M₄(2).D₄	3^rd non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32	8-	M4(2).D4	128,741
(C₂×C₈).₂D₄	2^nd non-split extension by C₂×C₈ of D₄ acting faithfully	32	4	(C2xC8).2D4	128,749
M₄(2).₄D₄	4^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32		M4(2).4D4	128,750
M₄(2).₅D₄	5^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32		M4(2).5D4	128,751
C₂⁴.₃₁D₄	31^st non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.31D4	128,754
(C₂×D₄)⋊₂Q₈	2^nd semidirect product of C₂×D₄ and Q₈ acting via Q₈/C₂=C₂²	32		(C2xD4):2Q8	128,759
(C₂×Q₈)⋊₂Q₈	2^nd semidirect product of C₂×Q₈ and Q₈ acting via Q₈/C₂=C₂²	32		(C2xQ8):2Q8	128,760
C₂⁴.₁₈₀C₂³	20^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.180C2^3	128,762
M₄(2)⋊₆D₄	6^th semidirect product of M₄(2) and D₄ acting via D₄/C₂=C₂²	32		M4(2):6D4	128,769
M₄(2).₇D₄	7^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32		M4(2).7D4	128,770
C₄²⋊₁₁D₄	5^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	32		C4^2:11D4	128,771
C₄²⋊₁₂D₄	6^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	32		C4^2:12D4	128,772
C₂⁴.₃₃D₄	33^rd non-split extension by C₂⁴ of D₄ acting faithfully	32		C2^4.33D4	128,776
C₄⋊C₄.₉₆D₄	51^st non-split extension by C₄⋊C₄ of D₄ acting via D₄/C₂=C₂²	32		C4:C4.96D4	128,777
C₄⋊C₄.₉₇D₄	52^nd non-split extension by C₄⋊C₄ of D₄ acting via D₄/C₂=C₂²	32		C4:C4.97D4	128,778
M₄(2).₉D₄	9^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32	8-	M4(2).9D4	128,781
M₄(2).₁₀D₄	10^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32		M4(2).10D4	128,783
C₂²⋊C₄.₇D₄	5^th non-split extension by C₂²⋊C₄ of D₄ acting via D₄/C₂=C₂²	32	4	C2^2:C4.7D4	128,785
M₄(2)⋊Q₈	1^st semidirect product of M₄(2) and Q₈ acting via Q₈/C₂=C₂²	32		M4(2):Q8	128,792
C₄²⋊₃Q₈	3^rd semidirect product of C₄² and Q₈ acting via Q₈/C₂=C₂²	32		C4^2:3Q8	128,793
C₂⁴.₁₈₂C₂³	22^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	32		C2^4.182C2^3	128,794
M₄(2).₁₂D₄	12^nd non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32		M4(2).12D4	128,795
M₄(2).₁₅D₄	15^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	32	8-	M4(2).15D4	128,802
C₄².₉D₄	9^th non-split extension by C₄² of D₄ acting faithfully	32	4	C4^2.9D4	128,812
(C₂×C₈).₆D₄	6^th non-split extension by C₂×C₈ of D₄ acting faithfully	32	8-	(C2xC8).6D4	128,814
C₄².₁₀D₄	10^th non-split extension by C₄² of D₄ acting faithfully	32	4	C4^2.10D4	128,830
C₂²⋊C₄.Q₈	1^st non-split extension by C₂²⋊C₄ of Q₈ acting via Q₈/C₂=C₂²	32	4	C2^2:C4.Q8	128,835
C₂×C₁₆⋊C₄	Direct product of C₂ and C₁₆⋊C₄	32		C2xC16:C4	128,841
C₈.₂₃C₄²	4^th central extension by C₈ of C₄²	32	4	C8.23C4^2	128,842
C₂⁴.₅C₈	2^nd non-split extension by C₂⁴ of C₈ acting via C₈/C₄=C₂	32		C2^4.5C8	128,844
C₂×C₂³.C₈	Direct product of C₂ and C₂³.C₈	32		C2xC2^3.C8	128,846
M₅(2).₁₉C₂²	6^th non-split extension by M₅(2) of C₂² acting via C₂²/C₂=C₂	32	4	M5(2).19C2^2	128,847
M₅(2)⋊₁₂C₂²	8^th semidirect product of M₅(2) and C₂² acting via C₂²/C₂=C₂	32	4	M5(2):12C2^2	128,849
C₂×C₂³.D₄	Direct product of C₂ and C₂³.D₄	32		C2xC2^3.D4	128,851
C₂³.(C₂×D₄)	6^th non-split extension by C₂³ of C₂×D₄ acting via C₂×D₄/C₂=D₄	32	8-	C2^3.(C2xD4)	128,855
C₂×C₄²⋊₃C₄	Direct product of C₂ and C₄²⋊₃C₄	32		C2xC4^2:3C4	128,857
C₄⋊Q₈⋊C₄	5^th semidirect product of C₄⋊Q₈ and C₄ acting faithfully	32	8-	C4:Q8:C4	128,861
C₂×C₄².C₄	Direct product of C₂ and C₄².C₄	32		C2xC4^2.C4	128,862
C₂×C₄².₃C₄	Direct product of C₂ and C₄².₃C₄	32		C2xC4^2.3C4	128,863
C₄⋊Q₈.C₄	5^th non-split extension by C₄⋊Q₈ of C₄ acting faithfully	32	8-	C4:Q8.C4	128,865
(C₂×D₄).₁₃₇D₄	99^th non-split extension by C₂×D₄ of D₄ acting via D₄/C₂=C₂²	32	8-	(C2xD4).137D4	128,867
C₂³.₄₀D₈	11^st non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	32		C2^3.40D8	128,872
C₂³.₂₀SD₁₆	10^th non-split extension by C₂³ of SD₁₆ acting via SD₁₆/C₄=C₂²	32	4	C2^3.20SD16	128,875
C₂×D₈⋊₂C₄	Direct product of C₂ and D₈⋊₂C₄	32		C2xD8:2C4	128,876
C₂³.₁₃D₈	6^th non-split extension by C₂³ of D₈ acting via D₈/C₄=C₂²	32	4	C2^3.13D8	128,877
C₂×M₅(2)⋊C₂	Direct product of C₂ and M₅(2)⋊C₂	32		C2xM5(2):C2	128,878
C₂³.₂₁SD₁₆	11^st non-split extension by C₂³ of SD₁₆ acting via SD₁₆/C₄=C₂²	32	4	C2^3.21SD16	128,880
C₂×C₈.C₈	Direct product of C₂ and C₈.C₈	32		C2xC8.C8	128,884
M₄(2).₁C₈	1^st non-split extension by M₄(2) of C₈ acting via C₈/C₄=C₂	32	4	M4(2).1C8	128,885
C₂×C₈.Q₈	Direct product of C₂ and C₈.Q₈	32		C2xC8.Q8	128,886
M₅(2)⋊₃C₄	3^rd semidirect product of M₅(2) and C₄ acting via C₄/C₂=C₂	32	4	M5(2):3C4	128,887
M₅(2).₁C₄	1^st non-split extension by M₅(2) of C₄ acting via C₄/C₂=C₂	32	4	M5(2).1C4	128,893
C₈.₁₉M₄(2)	7^th non-split extension by C₈ of M₄(2) acting via M₄(2)/C₂×C₄=C₂	32	4	C8.19M4(2)	128,898
C₁₆○D₈	Central product of C₁₆ and D₈	32	2	C16oD8	128,902
D₈.C₈	The non-split extension by D₈ of C₈ acting via C₈/C₄=C₂	32	4	D8.C8	128,903
C₈○D₁₆	Central product of C₈ and D₁₆	32	2	C8oD16	128,910
D₁₆⋊₅C₄	4^th semidirect product of D₁₆ and C₄ acting via C₄/C₂=C₂	32	4	D16:5C4	128,911
Q₃₂⋊C₄	The semidirect product of Q₃₂ and C₄ acting faithfully	32	8-	Q32:C4	128,912
D₈⋊₇D₄	1^st semidirect product of D₈ and D₄ acting via D₄/C₂²=C₂	32		D8:7D4	128,916
D₈.₉D₄	1^st non-split extension by D₈ of D₄ acting via D₄/C₂²=C₂	32		D8.9D4	128,919
D₈.D₄	1^st non-split extension by D₈ of D₄ acting via D₄/C₂=C₂²	32	8-	D8.D4	128,923
Q₁₆.₁₀D₄	3^rd non-split extension by Q₁₆ of D₄ acting via D₄/C₂²=C₂	32	4+	Q16.10D4	128,924
Q₁₆.D₄	2^nd non-split extension by Q₁₆ of D₄ acting via D₄/C₂=C₂²	32	4	Q16.D4	128,925
D₈.₃D₄	3^rd non-split extension by D₈ of D₄ acting via D₄/C₂=C₂²	32	4	D8.3D4	128,926
C₄².₁₄D₄	14^th non-split extension by C₄² of D₄ acting faithfully	32	8-	C4^2.14D4	128,933
C₄².₁₆D₄	16^th non-split extension by C₄² of D₄ acting faithfully	32	8-	C4^2.16D4	128,935
C₈.₃D₈	3^rd non-split extension by C₈ of D₈ acting via D₈/C₄=C₂²	32	4	C8.3D8	128,944
C₈.₅D₈	5^th non-split extension by C₈ of D₈ acting via D₈/C₄=C₂²	32	4-	C8.5D8	128,946
D₄.₃D₈	3^rd non-split extension by D₄ of D₈ acting via D₈/C₈=C₂	32	4+	D4.3D8	128,953
D₄.₅D₈	5^th non-split extension by D₄ of D₈ acting via D₈/C₈=C₂	32	4	D4.5D8	128,955
D₈.₂Q₈	2^nd non-split extension by D₈ of Q₈ acting via Q₈/C₄=C₂	32	4	D8.2Q8	128,963
C₂³.₁₀SD₁₆	10^th non-split extension by C₂³ of SD₁₆ acting via SD₁₆/C₂=D₄	32	8-	C2^3.10SD16	128,971
C₃₂⋊C₂²	The semidirect product of C₃₂ and C₂² acting faithfully	32	4+	C32:C2^2	128,995
C₂³⋊C₄²	2^nd semidirect product of C₂³ and C₄² acting via C₄²/C₂²=C₂²	32		C2^3:C4^2	128,1005
C₂×C₂⁴⋊₃C₄	Direct product of C₂ and C₂⁴⋊₃C₄	32		C2xC2^4:3C4	128,1009
C₂⁵.₈₅C₂²	6^th non-split extension by C₂⁵ of C₂² acting via C₂²/C₂=C₂	32		C2^5.85C2^2	128,1012
C₄×C₂²≀C₂	Direct product of C₄ and C₂²≀C₂	32		C4xC2^2wrC2	128,1031
C₂⁴.₉₀D₄	45^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.90D4	128,1040
C₂³.₁₉₁C₂⁴	44^th central extension by C₂³ of C₂⁴	32		C2^3.191C2^4	128,1041
C₂³.₁₉₄C₂⁴	47^th central extension by C₂³ of C₂⁴	32		C2^3.194C2^4	128,1044
C₂⁴.₉₁D₄	46^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.91D4	128,1047
C₂³.₂₀₃C₂⁴	56^th central extension by C₂³ of C₂⁴	32		C2^3.203C2^4	128,1053
D₄×C₂²⋊C₄	Direct product of D₄ and C₂²⋊C₄	32		D4xC2^2:C4	128,1070
C₂³.₂₂₄C₂⁴	77^th central extension by C₂³ of C₂⁴	32		C2^3.224C2^4	128,1074
C₂³.₂₄₀C₂⁴	93^rd central extension by C₂³ of C₂⁴	32		C2^3.240C2^4	128,1090
C₂³.₂₅₇C₂⁴	110^th central extension by C₂³ of C₂⁴	32		C2^3.257C2^4	128,1107
C₂⁴⋊₇D₄	2^nd semidirect product of C₂⁴ and D₄ acting via D₄/C₂=C₂²	32		C2^4:7D4	128,1135
C₂³.₃₀₄C₂⁴	21^st central stem extension by C₂³ of C₂⁴	32		C2^3.304C2^4	128,1136
C₂⁴.₉₄D₄	49^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.94D4	128,1137
C₂³.₃₀₈C₂⁴	25^th central stem extension by C₂³ of C₂⁴	32		C2^3.308C2^4	128,1140
C₂⁴⋊₈D₄	3^rd semidirect product of C₂⁴ and D₄ acting via D₄/C₂=C₂²	32		C2^4:8D4	128,1142
C₂³.₃₁₁C₂⁴	28^th central stem extension by C₂³ of C₂⁴	32		C2^3.311C2^4	128,1143
C₂⁴.₉₅D₄	50^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.95D4	128,1144
C₂³.₃₁₈C₂⁴	35^th central stem extension by C₂³ of C₂⁴	32		C2^3.318C2^4	128,1150
C₂³.₃₂₄C₂⁴	41^st central stem extension by C₂³ of C₂⁴	32		C2^3.324C2^4	128,1156
C₂³.₃₃₃C₂⁴	50^th central stem extension by C₂³ of C₂⁴	32		C2^3.333C2^4	128,1165
C₂³.₃₃₅C₂⁴	52^nd central stem extension by C₂³ of C₂⁴	32		C2^3.335C2^4	128,1167
C₂⁴⋊₄Q₈	3^rd semidirect product of C₂⁴ and Q₈ acting via Q₈/C₂=C₂²	32		C2^4:4Q8	128,1169
C₂³.₃₇₂C₂⁴	89^th central stem extension by C₂³ of C₂⁴	32		C2^3.372C2^4	128,1204
C₂³.₃₈₀C₂⁴	97^th central stem extension by C₂³ of C₂⁴	32		C2^3.380C2^4	128,1212
C₂³.₃₈₂C₂⁴	99^th central stem extension by C₂³ of C₂⁴	32		C2^3.382C2^4	128,1214
C₂⁴.₉₆D₄	51^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.96D4	128,1215
C₂³.₄₃₄C₂⁴	151^st central stem extension by C₂³ of C₂⁴	32		C2^3.434C2^4	128,1266
C₂³.₄₃₉C₂⁴	156^th central stem extension by C₂³ of C₂⁴	32		C2^3.439C2^4	128,1271
C₂³.₄₆₁C₂⁴	178^th central stem extension by C₂³ of C₂⁴	32		C2^3.461C2^4	128,1293
C₂⁴⋊₉D₄	4^th semidirect product of C₂⁴ and D₄ acting via D₄/C₂=C₂²	32		C2^4:9D4	128,1345
C₂⁴⋊₁₀D₄	5^th semidirect product of C₂⁴ and D₄ acting via D₄/C₂=C₂²	32		C2^4:10D4	128,1349
C₂⁴.₉₇D₄	52^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.97D4	128,1354
C₂⁴⋊₅Q₈	4^th semidirect product of C₂⁴ and Q₈ acting via Q₈/C₂=C₂²	32		C2^4:5Q8	128,1358
C₂³.₅₆₈C₂⁴	285^th central stem extension by C₂³ of C₂⁴	32		C2^3.568C2^4	128,1400
C₂³.₅₆₉C₂⁴	286^th central stem extension by C₂³ of C₂⁴	32		C2^3.569C2^4	128,1401
C₂³.₅₇₀C₂⁴	287^th central stem extension by C₂³ of C₂⁴	32		C2^3.570C2^4	128,1402
C₂³.₅₇₈C₂⁴	295^th central stem extension by C₂³ of C₂⁴	32		C2^3.578C2^4	128,1410
C₂⁵⋊C₂²	2^nd semidirect product of C₂⁵ and C₂² acting faithfully	32		C2^5:C2^2	128,1411
C₂³.₅₈₄C₂⁴	301^st central stem extension by C₂³ of C₂⁴	32		C2^3.584C2^4	128,1416
C₂³.₅₈₅C₂⁴	302^nd central stem extension by C₂³ of C₂⁴	32		C2^3.585C2^4	128,1417
C₂³.₅₉₇C₂⁴	314^th central stem extension by C₂³ of C₂⁴	32		C2^3.597C2^4	128,1429
C₂³.₆₃₅C₂⁴	352^nd central stem extension by C₂³ of C₂⁴	32		C2^3.635C2^4	128,1467
C₂³.₆₃₆C₂⁴	353^rd central stem extension by C₂³ of C₂⁴	32		C2^3.636C2^4	128,1468
C₂⁴⋊₁₁D₄	6^th semidirect product of C₂⁴ and D₄ acting via D₄/C₂=C₂²	32		C2^4:11D4	128,1544
C₂⁴⋊₆Q₈	5^th semidirect product of C₂⁴ and Q₈ acting via Q₈/C₂=C₂²	32		C2^4:6Q8	128,1572
C₂⁴.₁₅Q₈	14^th non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	32		C2^4.15Q8	128,1574
C₂⁴⋊₁₃D₄	1^st semidirect product of C₂⁴ and D₄ acting via D₄/C₄=C₂	32		C2^4:13D4	128,1579
C₂⁴⋊₈Q₈	1^st semidirect product of C₂⁴ and Q₈ acting via Q₈/C₄=C₂	32		C2^4:8Q8	128,1580
C₂⁴.₁₆₆D₄	21^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	32		C2^4.166D4	128,1581
M₄(2)○₂M₄(2)	Central product of M₄(2) and M₄(2)	32		M4(2)o2M4(2)	128,1605
C₂×C₂⁴.₄C₄	Direct product of C₂ and C₂⁴.₄C₄	32		C2xC2^4.4C4	128,1609
C₂⁴.₇₃(C₂×C₄)	38^th non-split extension by C₂⁴ of C₂×C₄ acting via C₂×C₄/C₂=C₂²	32		C2^4.73(C2xC4)	128,1611
D₄○(C₂²⋊C₈)	Central product of D₄ and C₂²⋊C₈	32		D4o(C2^2:C8)	128,1612
C₂²×C₂³⋊C₄	Direct product of C₂² and C₂³⋊C₄	32		C2^2xC2^3:C4	128,1613
C₂×C₂³.C₂³	Direct product of C₂ and C₂³.C₂³	32		C2xC2^3.C2^3	128,1614
C₂³.₄C₂⁴	4^th non-split extension by C₂³ of C₂⁴ acting via C₂⁴/C₂²=C₂²	32	8-	C2^3.4C2^4	128,1616
C₂²×C₄.D₄	Direct product of C₂² and C₄.D₄	32		C2^2xC4.D4	128,1617
C₂×M₄(2).₈C₂²	Direct product of C₂ and M₄(2).₈C₂²	32		C2xM4(2).8C2^2	128,1619
M₄(2).₂₅C₂³	7^th non-split extension by M₄(2) of C₂³ acting via C₂³/C₂²=C₂	32	8-	M4(2).25C2^3	128,1621
C₂×C₂³.₃₇D₄	Direct product of C₂ and C₂³.₃₇D₄	32		C2xC2^3.37D4	128,1625
C₂⁴.₉₈D₄	53^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.98D4	128,1628
2₊¹⁺⁴⋊₅C₄	4^th semidirect product of 2₊¹⁺⁴ and C₄ acting via C₄/C₂=C₂	32		ES+(2,2):5C4	128,1629
C₂²×C₄≀C₂	Direct product of C₂² and C₄≀C₂	32		C2^2xC4wrC2	128,1631
C₂×C₄²⋊C₂²	Direct product of C₂ and C₄²⋊C₂²	32		C2xC4^2:C2^2	128,1632
C₄².₂₅₇C₂³	118^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.257C2^3	128,1637
C₂⁴.₁₀₀D₄	55^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.100D4	128,1643
C₂×M₄(2).C₄	Direct product of C₂ and M₄(2).C₄	32		C2xM4(2).C4	128,1647
M₄(2).₂₉C₂³	11^st non-split extension by M₄(2) of C₂³ acting via C₂³/C₂²=C₂	32	4	M4(2).29C2^3	128,1648
C₄².₆₇₇C₂³	92^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	32		C4^2.677C2^3	128,1652
C₄².₂₅₉C₂³	120^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.259C2^3	128,1653
C₄².₂₆₂C₂³	123^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.262C2^3	128,1656
C₄².₂₆₄C₂³	125^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.264C2^3	128,1661
C₄².₂₆₅C₂³	126^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.265C2^3	128,1662
M₄(2)⋊₂₂D₄	1^st semidirect product of M₄(2) and D₄ acting through Inn(M₄(2))	32		M4(2):22D4	128,1665
D₄×M₄(2)	Direct product of D₄ and M₄(2)	32		D4xM4(2)	128,1666
C₄×C₈⋊C₂²	Direct product of C₄ and C₈⋊C₂²	32		C4xC8:C2^2	128,1676
C₄².₂₇₅C₂³	136^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.275C2^3	128,1678
C₄².₂₇₇C₂³	138^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.277C2^3	128,1680
C₄².₂₇₈C₂³	139^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.278C2^3	128,1681
C₂×C₈○D₈	Direct product of C₂ and C₈○D₈	32		C2xC8oD8	128,1685
C₂×C₈.₂₆D₄	Direct product of C₂ and C₈.₂₆D₄	32		C2xC8.26D4	128,1686
C₄².₂₈₃C₂³	144^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32	4	C4^2.283C2^3	128,1687
M₄(2)○D₈	Central product of M₄(2) and D₈	32	4	M4(2)oD8	128,1689
C₄².₆₉₁C₂³	106^th non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	32		C4^2.691C2^3	128,1704
C₂³⋊₃M₄(2)	2^nd semidirect product of C₂³ and M₄(2) acting via M₄(2)/C₄=C₂²	32		C2^3:3M4(2)	128,1705
D₄⋊₇M₄(2)	2^nd semidirect product of D₄ and M₄(2) acting through Inn(D₄)	32		D4:7M4(2)	128,1706
C₄².₆₉₃C₂³	108^th non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	32		C4^2.693C2^3	128,1707
C₄².₂₉₇C₂³	158^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.297C2^3	128,1708
C₄².₂₉₈C₂³	159^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.298C2^3	128,1709
C₄².₂₉₉C₂³	160^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.299C2^3	128,1710
C₂×C₂²⋊D₈	Direct product of C₂ and C₂²⋊D₈	32		C2xC2^2:D8	128,1728
C₂×C₂²⋊SD₁₆	Direct product of C₂ and C₂²⋊SD₁₆	32		C2xC2^2:SD16	128,1729
C₂⁴.₁₀₃D₄	58^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.103D4	128,1734
C₂⁴.₁₇₈D₄	33^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	32		C2^4.178D4	128,1736
C₂⁴.₁₀₄D₄	59^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.104D4	128,1737
C₂⁴.₁₀₅D₄	60^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.105D4	128,1738
C₂⁴.₁₀₆D₄	61^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.106D4	128,1739
C₄○D₄⋊D₄	1^st semidirect product of C₄○D₄ and D₄ acting via D₄/C₂=C₂²	32		C4oD4:D4	128,1740
D₄.(C₂×D₄)	8^th non-split extension by D₄ of C₂×D₄ acting via C₂×D₄/C₂³=C₂	32		D4.(C2xD4)	128,1741
(C₂×Q₈)⋊₁₆D₄	12^nd semidirect product of C₂×Q₈ and D₄ acting via D₄/C₂=C₂²	32		(C2xQ8):16D4	128,1742
(C₂×D₄)⋊₂₁D₄	17^th semidirect product of C₂×D₄ and D₄ acting via D₄/C₂=C₂²	32		(C2xD4):21D4	128,1744
C₂×D₄.₉D₄	Direct product of C₂ and D₄.₉D₄	32		C2xD4.9D4	128,1747
C₂×D₄.₈D₄	Direct product of C₂ and D₄.₈D₄	32		C2xD4.8D4	128,1748
C₂×D₄.₁₀D₄	Direct product of C₂ and D₄.₁₀D₄	32		C2xD4.10D4	128,1749
M₄(2).C₂³	4^th non-split extension by M₄(2) of C₂³ acting via C₂³/C₂=C₂²	32	8-	M4(2).C2^3	128,1752
C₄².₁₃C₂³	13^rd non-split extension by C₄² of C₂³ acting faithfully	32	8-	C4^2.13C2^3	128,1754
C₂×C₂³.₇D₄	Direct product of C₂ and C₂³.₇D₄	32		C2xC2^3.7D4	128,1756
C₂³.₁₀C₂⁴	10^th non-split extension by C₂³ of C₂⁴ acting via C₂⁴/C₂²=C₂²	32	8-	C2^3.10C2^4	128,1760
C₄².₂₁₁D₄	193^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.211D4	128,1768
C₄².₄₄₄D₄	77^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.444D4	128,1770
C₄².₄₄₆D₄	79^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	32		C4^2.446D4	128,1772
C₄².₁₄C₂³	14^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.14C2^3	128,1773
C₄².₁₅C₂³	15^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.15C2^3	128,1774
C₄².₁₆C₂³	16^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.16C2^3	128,1775
C₄².₁₈C₂³	18^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.18C2^3	128,1777
C₂⁴.₁₄₄D₄	13^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₄=C₂	32		C2^4.144D4	128,1782
C₂⁴.₁₁₀D₄	65^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.110D4	128,1786
M₄(2)⋊₁₄D₄	1^st semidirect product of M₄(2) and D₄ acting via D₄/C₂²=C₂	32		M4(2):14D4	128,1787
M₄(2)⋊₁₅D₄	2^nd semidirect product of M₄(2) and D₄ acting via D₄/C₂²=C₂	32		M4(2):15D4	128,1788
(C₂×C₈)⋊₁₁D₄	7^th semidirect product of C₂×C₈ and D₄ acting via D₄/C₂=C₂²	32		(C2xC8):11D4	128,1789
(C₂×C₈)⋊₁₂D₄	8^th semidirect product of C₂×C₈ and D₄ acting via D₄/C₂=C₂²	32		(C2xC8):12D4	128,1790
M₄(2)⋊₁₆D₄	3^rd semidirect product of M₄(2) and D₄ acting via D₄/C₂²=C₂	32		M4(2):16D4	128,1794
C₂×D₄.₃D₄	Direct product of C₂ and D₄.₃D₄	32		C2xD4.3D4	128,1796
C₂×D₄.₄D₄	Direct product of C₂ and D₄.₄D₄	32		C2xD4.4D4	128,1797
M₄(2).₁₀C₂³	10^th non-split extension by M₄(2) of C₂³ acting via C₂³/C₂=C₂²	32	4	M4(2).10C2^3	128,1799
M₄(2).₃₈D₄	2^nd non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	32	8-	M4(2).38D4	128,1801
C₄².₂₁₉D₄	201^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.219D4	128,1809
C₄².₂₀C₂³	20^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.20C2^3	128,1813
C₂⁴.₁₁₅D₄	70^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.115D4	128,1823
C₂⁴.₁₈₃D₄	38^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	32		C2^4.183D4	128,1824
C₂⁴.₁₁₆D₄	71^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.116D4	128,1825
C₂⁴.₁₁₇D₄	72^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.117D4	128,1826
C₂⁴.₁₁₈D₄	73^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.118D4	128,1827
(C₂×D₄).₃₀₁D₄	54^th non-split extension by C₂×D₄ of D₄ acting via D₄/C₂²=C₂	32		(C2xD4).301D4	128,1828
C₄².₂₂₁D₄	203^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.221D4	128,1832
C₄².₂₂₂D₄	204^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.222D4	128,1833
C₄².₂₂₅D₄	207^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.225D4	128,1837
C₄².₂₂₇D₄	209^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.227D4	128,1841
C₄².₂₂₈D₄	210^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.228D4	128,1842
C₄².₂₃₂D₄	214^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.232D4	128,1846
C₄².₃₅₂C₂³	213^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.352C2^3	128,1850
C₄².₃₅₆C₂³	217^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.356C2^3	128,1854
C₄².₃₅₇C₂³	218^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.357C2^3	128,1855
C₄².₃₆₆C₂³	227^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.366C2^3	128,1868
C₄².₂₄₀D₄	222^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.240D4	128,1870
C₄².₂₄₂D₄	224^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.242D4	128,1872
M₄(2)⋊₇D₄	1^st semidirect product of M₄(2) and D₄ acting via D₄/C₄=C₂	32		M4(2):7D4	128,1883
M₄(2)⋊₉D₄	3^rd semidirect product of M₄(2) and D₄ acting via D₄/C₄=C₂	32		M4(2):9D4	128,1885
M₄(2)⋊₁₀D₄	4^th semidirect product of M₄(2) and D₄ acting via D₄/C₄=C₂	32		M4(2):10D4	128,1886
M₄(2)⋊₁₁D₄	5^th semidirect product of M₄(2) and D₄ acting via D₄/C₄=C₂	32		M4(2):11D4	128,1887
C₂³⋊₃D₈	2^nd semidirect product of C₂³ and D₈ acting via D₈/C₄=C₂²	32		C2^3:3D8	128,1918
C₂³⋊₄SD₁₆	2^nd semidirect product of C₂³ and SD₁₆ acting via SD₁₆/C₄=C₂²	32		C2^3:4SD16	128,1919
C₂⁴.₁₂₁D₄	76^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.121D4	128,1920
C₂³⋊₃Q₁₆	2^nd semidirect product of C₂³ and Q₁₆ acting via Q₁₆/C₄=C₂²	32		C2^3:3Q16	128,1921
C₂⁴.₁₂₃D₄	78^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.123D4	128,1922
C₂⁴.₁₂₄D₄	79^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.124D4	128,1923
C₂⁴.₁₂₅D₄	80^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.125D4	128,1924
C₂⁴.₁₂₆D₄	81^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.126D4	128,1925
C₂⁴.₁₂₇D₄	82^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.127D4	128,1926
C₂⁴.₁₂₈D₄	83^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.128D4	128,1927
C₂⁴.₁₂₉D₄	84^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.129D4	128,1928
C₂⁴.₁₃₀D₄	85^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	32		C2^4.130D4	128,1929
C₄.2₊¹⁺⁴	13^rd non-split extension by C₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	32		C4.ES+(2,2)	128,1930
C₄.₁₄2₊¹⁺⁴	14^th non-split extension by C₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	32		C4.14ES+(2,2)	128,1931
C₄.₁₅2₊¹⁺⁴	15^th non-split extension by C₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	32		C4.15ES+(2,2)	128,1932
C₄².₂₆₃D₄	245^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.263D4	128,1937
C₄².₂₆₆D₄	248^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.266D4	128,1940
C₄².₂₆₉D₄	251^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.269D4	128,1943
C₄².₂₇₁D₄	253^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.271D4	128,1945
C₄².₂₇₃D₄	255^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.273D4	128,1947
C₄².₂₇₅D₄	257^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	32		C4^2.275D4	128,1949
C₄².₄₀₆C₂³	267^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.406C2^3	128,1952
C₄².₄₀₈C₂³	269^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.408C2^3	128,1954
C₄².₄₁₀C₂³	271^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.410C2^3	128,1956
D₈⋊₉D₄	3^rd semidirect product of D₈ and D₄ acting via D₄/C₂²=C₂	32		D8:9D4	128,1996
SD₁₆⋊D₄	1^st semidirect product of SD₁₆ and D₄ acting via D₄/C₂²=C₂	32		SD16:D4	128,1997
SD₁₆⋊₆D₄	2^nd semidirect product of SD₁₆ and D₄ acting via D₄/C₂²=C₂	32		SD16:6D4	128,1998
D₈⋊₁₀D₄	4^th semidirect product of D₈ and D₄ acting via D₄/C₂²=C₂	32		D8:10D4	128,1999
SD₁₆⋊₇D₄	3^rd semidirect product of SD₁₆ and D₄ acting via D₄/C₂²=C₂	32		SD16:7D4	128,2000
D₈⋊₄D₄	3^rd semidirect product of D₈ and D₄ acting via D₄/C₄=C₂	32		D8:4D4	128,2004
D₈⋊₅D₄	4^th semidirect product of D₈ and D₄ acting via D₄/C₄=C₂	32		D8:5D4	128,2005
SD₁₆⋊₁D₄	1^st semidirect product of SD₁₆ and D₄ acting via D₄/C₄=C₂	32		SD16:1D4	128,2006
SD₁₆⋊₂D₄	2^nd semidirect product of SD₁₆ and D₄ acting via D₄/C₄=C₂	32		SD16:2D4	128,2007
D₄×D₈	Direct product of D₄ and D₈	32		D4xD8	128,2011
D₈⋊₁₂D₄	1^st semidirect product of D₈ and D₄ acting through Inn(D₈)	32		D8:12D4	128,2012
D₄×SD₁₆	Direct product of D₄ and SD₁₆	32		D4xSD16	128,2013
SD₁₆⋊₁₀D₄	1^st semidirect product of SD₁₆ and D₄ acting through Inn(SD₁₆)	32		SD16:10D4	128,2014
D₈.₁₃D₄	5^th non-split extension by D₈ of D₄ acting via D₄/C₂²=C₂	32	8-	D8.13D4	128,2021
D₈○SD₁₆	Central product of D₈ and SD₁₆	32	4	D8oSD16	128,2022
D₈○Q₁₆	Central product of D₈ and Q₁₆	32	4-	D8oQ16	128,2025
D₄⋊₄D₈	1^st semidirect product of D₄ and D₈ acting through Inn(D₄)	32		D4:4D8	128,2026
D₄⋊₇SD₁₆	1^st semidirect product of D₄ and SD₁₆ acting through Inn(D₄)	32		D4:7SD16	128,2027
C₄².₄₆₁C₂³	322^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.461C2^3	128,2028
C₄².₄₆₂C₂³	323^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.462C2^3	128,2029
C₄².₄₁C₂³	41^st non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.41C2^3	128,2038
C₄².₄₅C₂³	45^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.45C2^3	128,2042
C₄².₄₆C₂³	46^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.46C2^3	128,2043
C₄².₄₉C₂³	49^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.49C2^3	128,2046
C₄².₅₃C₂³	53^rd non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.53C2^3	128,2050
C₄².₅₄C₂³	54^th non-split extension by C₄² of C₂³ acting faithfully	32		C4^2.54C2^3	128,2051
C₄².₄₇₁C₂³	332^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.471C2^3	128,2054
C₄².₄₇₂C₂³	333^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.472C2^3	128,2055
C₄².₄₇₃C₂³	334^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.473C2^3	128,2056
C₄².₄₇₄C₂³	335^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	32		C4^2.474C2^3	128,2057
Q₈○M₅(2)	Central product of Q₈ and M₅(2)	32	4	Q8oM5(2)	128,2139
C₂×C₁₆⋊C₂²	Direct product of C₂ and C₁₆⋊C₂²	32		C2xC16:C2^2	128,2144
D₁₆⋊C₂²	4^th semidirect product of D₁₆ and C₂² acting via C₂²/C₂=C₂	32	4	D16:C2^2	128,2146
D₄○D₁₆	Central product of D₄ and D₁₆	32	4+	D4oD16	128,2147
D₄○SD₃₂	Central product of D₄ and SD₃₂	32	4	D4oSD32	128,2148
C₂×C₂².₁₁C₂⁴	Direct product of C₂ and C₂².₁₁C₂⁴	32		C2xC2^2.11C2^4	128,2157
C₂².₁₄C₂⁵	10^th central extension by C₂² of C₂⁵	32		C2^2.14C2^5	128,2160
C₄×2₊¹⁺⁴	Direct product of C₄ and 2₊¹⁺⁴	32		C4xES+(2,2)	128,2161
C₂²×C₂²≀C₂	Direct product of C₂² and C₂²≀C₂	32		C2^2xC2^2wrC2	128,2163
C₂×C₂².₁₉C₂⁴	Direct product of C₂ and C₂².₁₉C₂⁴	32		C2xC2^2.19C2^4	128,2167
C₂².₃₃C₂⁵	14^th central stem extension by C₂² of C₂⁵	32		C2^2.33C2^5	128,2176
C₂×C₂³⋊₃D₄	Direct product of C₂ and C₂³⋊₃D₄	32		C2xC2^3:3D4	128,2177
C₂×C₂².₂₉C₂⁴	Direct product of C₂ and C₂².₂₉C₂⁴	32		C2xC2^2.29C2^4	128,2178
C₂².₃₈C₂⁵	19^th central stem extension by C₂² of C₂⁵	32		C2^2.38C2^5	128,2181
C₂×C₂².₃₂C₂⁴	Direct product of C₂ and C₂².₃₂C₂⁴	32		C2xC2^2.32C2^4	128,2182
C₂².₄₄C₂⁵	25^th central stem extension by C₂² of C₂⁵	32		C2^2.44C2^5	128,2187
C₂×C₂³⋊₂Q₈	Direct product of C₂ and C₂³⋊₂Q₈	32		C2xC2^3:2Q8	128,2188
C₂².₄₇C₂⁵	28^th central stem extension by C₂² of C₂⁵	32		C2^2.47C2^5	128,2190
C₂².₄₈C₂⁵	29^th central stem extension by C₂² of C₂⁵	32		C2^2.48C2^5	128,2191
C₂².₄₉C₂⁵	30^th central stem extension by C₂² of C₂⁵	32		C2^2.49C2^5	128,2192
C₂×D₄²	Direct product of C₂, D₄ and D₄	32		C2xD4^2	128,2194
C₂×D₄⋊₅D₄	Direct product of C₂ and D₄⋊₅D₄	32		C2xD4:5D4	128,2195
D₄×C₄○D₄	Direct product of D₄ and C₄○D₄	32		D4xC4oD4	128,2200
C₂×C₂².₄₅C₂⁴	Direct product of C₂ and C₂².₄₅C₂⁴	32		C2xC2^2.45C2^4	128,2201
C₂².₆₄C₂⁵	45^th central stem extension by C₂² of C₂⁵	32		C2^2.64C2^5	128,2207
C₂².₇₀C₂⁵	51^st central stem extension by C₂² of C₂⁵	32		C2^2.70C2^5	128,2213
C₂².₇₄C₂⁵	55^th central stem extension by C₂² of C₂⁵	32		C2^2.74C2^5	128,2217
C₂².₇₅C₂⁵	56^th central stem extension by C₂² of C₂⁵	32		C2^2.75C2^5	128,2218
C₂².₇₆C₂⁵	57^th central stem extension by C₂² of C₂⁵	32		C2^2.76C2^5	128,2219
C₂².₇₇C₂⁵	58^th central stem extension by C₂² of C₂⁵	32		C2^2.77C2^5	128,2220
C₂².₇₈C₂⁵	59^th central stem extension by C₂² of C₂⁵	32		C2^2.78C2^5	128,2221
C₂².₈₀C₂⁵	61^st central stem extension by C₂² of C₂⁵	32		C2^2.80C2^5	128,2223
C₂².₈₁C₂⁵	62^nd central stem extension by C₂² of C₂⁵	32		C2^2.81C2^5	128,2224
C₂².₈₂C₂⁵	63^rd central stem extension by C₂² of C₂⁵	32		C2^2.82C2^5	128,2225
C₂².₈₃C₂⁵	64^th central stem extension by C₂² of C₂⁵	32		C2^2.83C2^5	128,2226
C₂².₈₄C₂⁵	65^th central stem extension by C₂² of C₂⁵	32		C2^2.84C2^5	128,2227
C₄⋊2₊¹⁺⁴	The semidirect product of C₄ and 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	32		C4:ES+(2,2)	128,2228
C₂².₈₇C₂⁵	68^th central stem extension by C₂² of C₂⁵	32		C2^2.87C2^5	128,2230
C₂².₈₉C₂⁵	70^th central stem extension by C₂² of C₂⁵	32		C2^2.89C2^5	128,2232
C₂².₉₀C₂⁵	71^st central stem extension by C₂² of C₂⁵	32		C2^2.90C2^5	128,2233
C₂².₉₄C₂⁵	75^th central stem extension by C₂² of C₂⁵	32		C2^2.94C2^5	128,2237
C₂².₉₅C₂⁵	76^th central stem extension by C₂² of C₂⁵	32		C2^2.95C2^5	128,2238
C₂².₉₇C₂⁵	78^th central stem extension by C₂² of C₂⁵	32		C2^2.97C2^5	128,2240
C₂².₉₉C₂⁵	80^th central stem extension by C₂² of C₂⁵	32		C2^2.99C2^5	128,2242
C₂².₁₀₂C₂⁵	83^rd central stem extension by C₂² of C₂⁵	32		C2^2.102C2^5	128,2245
C₂².₁₀₃C₂⁵	84^th central stem extension by C₂² of C₂⁵	32		C2^2.103C2^5	128,2246
C₂².₁₀₈C₂⁵	89^th central stem extension by C₂² of C₂⁵	32		C2^2.108C2^5	128,2251
C₂³.₁₄₄C₂⁴	44^th non-split extension by C₂³ of C₂⁴ acting via C₂⁴/C₂³=C₂	32		C2^3.144C2^4	128,2252
C₂².₁₁₀C₂⁵	91^st central stem extension by C₂² of C₂⁵	32		C2^2.110C2^5	128,2253
C₂×C₂².₅₄C₂⁴	Direct product of C₂ and C₂².₅₄C₂⁴	32		C2xC2^2.54C2^4	128,2257
C₂×C₂⁴⋊C₂²	Direct product of C₂ and C₂⁴⋊C₂²	32		C2xC2^4:C2^2	128,2258
C₂².₁₁₈C₂⁵	99^th central stem extension by C₂² of C₂⁵	32		C2^2.118C2^5	128,2261
C₂².₁₂₂C₂⁵	103^rd central stem extension by C₂² of C₂⁵	32		C2^2.122C2^5	128,2265
C₂².₁₂₃C₂⁵	104^th central stem extension by C₂² of C₂⁵	32		C2^2.123C2^5	128,2266
C₂².₁₂₄C₂⁵	105^th central stem extension by C₂² of C₂⁵	32		C2^2.124C2^5	128,2267
C₂².₁₂₅C₂⁵	106^th central stem extension by C₂² of C₂⁵	32		C2^2.125C2^5	128,2268
C₂².₁₂₆C₂⁵	107^th central stem extension by C₂² of C₂⁵	32		C2^2.126C2^5	128,2269
C₂².₁₂₇C₂⁵	108^th central stem extension by C₂² of C₂⁵	32		C2^2.127C2^5	128,2270
C₂².₁₂₈C₂⁵	109^th central stem extension by C₂² of C₂⁵	32		C2^2.128C2^5	128,2271
C₂².₁₂₉C₂⁵	110^th central stem extension by C₂² of C₂⁵	32		C2^2.129C2^5	128,2272
C₂².₁₃₀C₂⁵	111^st central stem extension by C₂² of C₂⁵	32		C2^2.130C2^5	128,2273
C₂².₁₃₁C₂⁵	112^nd central stem extension by C₂² of C₂⁵	32		C2^2.131C2^5	128,2274
C₂².₁₃₂C₂⁵	113^rd central stem extension by C₂² of C₂⁵	32		C2^2.132C2^5	128,2275
C₂².₁₃₄C₂⁵	115^th central stem extension by C₂² of C₂⁵	32		C2^2.134C2^5	128,2277
C₂².₁₃₅C₂⁵	116^th central stem extension by C₂² of C₂⁵	32		C2^2.135C2^5	128,2278
C₂².₁₃₈C₂⁵	119^th central stem extension by C₂² of C₂⁵	32		C2^2.138C2^5	128,2281
C₂².₁₄₀C₂⁵	121^st central stem extension by C₂² of C₂⁵	32		C2^2.140C2^5	128,2283
C₂².₁₄₇C₂⁵	128^th central stem extension by C₂² of C₂⁵	32		C2^2.147C2^5	128,2290
C₂².₁₄₉C₂⁵	130^th central stem extension by C₂² of C₂⁵	32		C2^2.149C2^5	128,2292
C₂².₁₅₀C₂⁵	131^st central stem extension by C₂² of C₂⁵	32		C2^2.150C2^5	128,2293
C₂².₁₅₁C₂⁵	132^nd central stem extension by C₂² of C₂⁵	32		C2^2.151C2^5	128,2294
C₂².₁₅₃C₂⁵	134^th central stem extension by C₂² of C₂⁵	32		C2^2.153C2^5	128,2296
C₂².₁₅₅C₂⁵	136^th central stem extension by C₂² of C₂⁵	32		C2^2.155C2^5	128,2298
C₂².₁₅₇C₂⁵	138^th central stem extension by C₂² of C₂⁵	32		C2^2.157C2^5	128,2300
C₂×Q₈○M₄(2)	Direct product of C₂ and Q₈○M₄(2)	32		C2xQ8oM4(2)	128,2304
C₄.₂₂C₂⁵	4^th central extension by C₄ of C₂⁵	32	4	C4.22C2^5	128,2305
C₂²×C₈⋊C₂²	Direct product of C₂² and C₈⋊C₂²	32		C2^2xC8:C2^2	128,2310
C₂×D₈⋊C₂²	Direct product of C₂ and D₈⋊C₂²	32		C2xD8:C2^2	128,2312
C₂×D₄○D₈	Direct product of C₂ and D₄○D₈	32		C2xD4oD8	128,2313
C₂×D₄○SD₁₆	Direct product of C₂ and D₄○SD₁₆	32		C2xD4oSD16	128,2314
C₈.C₂⁴	6^th non-split extension by C₈ of C₂⁴ acting via C₂⁴/C₂²=C₂²	32	4	C8.C2^4	128,2316
C₄.C₂⁵	13^rd non-split extension by C₄ of C₂⁵ acting via C₂⁵/C₂⁴=C₂	32	8-	C4.C2^5	128,2318
C₂²×2₊¹⁺⁴	Direct product of C₂² and 2₊¹⁺⁴	32		C2^2xES+(2,2)	128,2323
C₂×C₂.C₂⁵	Direct product of C₂ and C₂.C₂⁵	32		C2xC2.C2^5	128,2325
2_-¹⁺⁶	Extraspecial group; = D₄ ○2_-¹⁺⁴	32	8-	ES-(2,3)	128,2327

Groups of order 160

		d	ρ	Label	ID
2_-¹⁺⁴⋊C₅	The semidirect product of 2_-¹⁺⁴ and C₅ acting faithfully	32	4-	ES-(2,2):C5	160,199

Groups of order 192

		d	ρ	Label	ID
C₄×GL₂(𝔽₃)	Direct product of C₄ and GL₂(𝔽₃)	32		C4xGL(2,3)	192,951
Q₈⋊D₁₂	The semidirect product of Q₈ and D₁₂ acting via D₁₂/C₄=S₃	32		Q8:D12	192,952
GL₂(𝔽₃)⋊C₄	1^st semidirect product of GL₂(𝔽₃) and C₄ acting via C₄/C₂=C₂	32		GL(2,3):C4	192,953
Q₈.₂D₁₂	2^nd non-split extension by Q₈ of D₁₂ acting via D₁₂/C₄=S₃	32		Q8.2D12	192,954
CU₂(𝔽₃)	Conformal unitary group on 𝔽₃²; = U₂(𝔽₃)⋊₇ C₂	32	2	CU(2,3)	192,963
C₈.₅S₄	5^th non-split extension by C₈ of S₄ acting via S₄/A₄=C₂	32	4	C8.5S4	192,964
C₈.₄S₄	4^th non-split extension by C₈ of S₄ acting via S₄/A₄=C₂	32	4	C8.4S4	192,965
C₈.₃S₄	3^rd non-split extension by C₈ of S₄ acting via S₄/A₄=C₂	32	4+	C8.3S4	192,966
C₂³.₁₄S₄	1^st non-split extension by C₂³ of S₄ acting via S₄/A₄=C₂	32		C2^3.14S4	192,978
C₂³.₁₅S₄	2^nd non-split extension by C₂³ of S₄ acting via S₄/A₄=C₂	32		C2^3.15S4	192,979
C₂³.₁₆S₄	3^rd non-split extension by C₂³ of S₄ acting via S₄/A₄=C₂	32		C2^3.16S4	192,980
U₂(𝔽₃)⋊C₂	6^th semidirect product of U₂(𝔽₃) and C₂ acting faithfully	32	4	U(2,3):C2	192,982
SL₂(𝔽₃)⋊D₄	2^nd semidirect product of SL₂(𝔽₃) and D₄ acting via D₄/C₂²=C₂	32		SL(2,3):D4	192,986
D₄.S₄	2^nd non-split extension by D₄ of S₄ acting via S₄/A₄=C₂	32	4-	D4.S4	192,989
D₄.₃S₄	3^rd non-split extension by D₄ of S₄ acting via S₄/A₄=C₂	32	4	D4.3S4	192,990
(C₂×Q₈)⋊C₁₂	The semidirect product of C₂×Q₈ and C₁₂ acting via C₁₂/C₂=C₆	32		(C2xQ8):C12	192,998
SL₂(𝔽₃)⋊₅D₄	1^st semidirect product of SL₂(𝔽₃) and D₄ acting through Inn(SL₂(𝔽₃))	32		SL(2,3):5D4	192,1003
D₄×SL₂(𝔽₃)	Direct product of D₄ and SL₂(𝔽₃)	32		D4xSL(2,3)	192,1004
M₄(2).A₄	The non-split extension by M₄(2) of A₄ acting through Inn(M₄(2))	32	4	M4(2).A4	192,1013
SD₁₆.A₄	The non-split extension by SD₁₆ of A₄ acting through Inn(SD₁₆)	32	4	SD16.A4	192,1018
D₈.A₄	The non-split extension by D₈ of A₄ acting through Inn(D₈)	32	4-	D8.A4	192,1019
C₂²×GL₂(𝔽₃)	Direct product of C₂² and GL₂(𝔽₃)	32		C2^2xGL(2,3)	192,1475
C₂×Q₈.D₆	Direct product of C₂ and Q₈.D₆	32		C2xQ8.D6	192,1476
C₂×C₄.₆S₄	Direct product of C₂ and C₄.₆S₄	32		C2xC4.6S4	192,1480
C₂×C₄.₃S₄	Direct product of C₂ and C₄.₃S₄	32		C2xC4.3S4	192,1481
GL₂(𝔽₃)⋊C₂²	3^rd semidirect product of GL₂(𝔽₃) and C₂² acting via C₂²/C₂=C₂	32	4	GL(2,3):C2^2	192,1482
Q₈.₆S₄	1^st non-split extension by Q₈ of S₄ acting through Inn(Q₈)	32	4	Q8.6S4	192,1483
Q₈.₇S₄	2^nd non-split extension by Q₈ of S₄ acting through Inn(Q₈)	32	4+	Q8.7S4	192,1484
D₄.₅S₄	2^nd non-split extension by D₄ of S₄ acting through Inn(D₄)	32	4-	D4.5S4	192,1486
C₂×D₄.A₄	Direct product of C₂ and D₄.A₄	32		C2xD4.A4	192,1503
2_-¹⁺⁴⋊₃C₆	2^nd semidirect product of 2_-¹⁺⁴ and C₆ acting via C₆/C₂=C₃	32	4	ES-(2,2):3C6	192,1504

Groups of order 320

		d	ρ	Label	ID
2_-¹⁺⁴⋊D₅	The semidirect product of 2_-¹⁺⁴ and D₅ acting faithfully	32	4	ES-(2,2):D5	320,1582

On 33 points

Groups of order 33

		d	ρ	Label	ID
C₃₃	Cyclic group	33	1	C33	33,1

Groups of order 66

		d	ρ	Label	ID
S₃×C₁₁	Direct product of C₁₁ and S₃	33	2	S3xC11	66,1
C₃×D₁₁	Direct product of C₃ and D₁₁	33	2	C3xD11	66,2
D₃₃	Dihedral group	33	2+	D33	66,3

Groups of order 132

		d	ρ	Label	ID
S₃×D₁₁	Direct product of S₃ and D₁₁	33	4+	S3xD11	132,5

Groups of order 165

		d	ρ	Label	ID
C₃×C₁₁⋊C₅	Direct product of C₃ and C₁₁⋊C₅	33	5	C3xC11:C5	165,1

Groups of order 330

		d	ρ	Label	ID
C₃×F₁₁	Direct product of C₃ and F₁₁	33	10	C3xF11	330,1
S₃×C₁₁⋊C₅	Direct product of S₃ and C₁₁⋊C₅	33	10	S3xC11:C5	330,2
C₃⋊F₁₁	The semidirect product of C₃ and F₁₁ acting via F₁₁/C₁₁⋊C₅=C₂	33	10+	C3:F11	330,3

Groups of order 363

		d	ρ	Label	ID
C₁₁²⋊C₃	The semidirect product of C₁₁² and C₃ acting faithfully	33	3	C11^2:C3	363,2

On 34 points

Groups of order 34

		d	ρ	Label	ID
C₃₄	Cyclic group	34	1	C34	34,2

Groups of order 68

		d	ρ	Label	ID
D₃₄	Dihedral group; = C₂×D₁₇	34	2+	D34	68,4

Groups of order 136

		d	ρ	Label	ID
C₂×C₁₇⋊C₄	Direct product of C₂ and C₁₇⋊C₄	34	4+	C2xC17:C4	136,13

Groups of order 272

		d	ρ	Label	ID
C₂×C₁₇⋊C₈	Direct product of C₂ and C₁₇⋊C₈	34	8+	C2xC17:C8	272,51

On 35 points

Groups of order 35

		d	ρ	Label	ID
C₃₅	Cyclic group	35	1	C35	35,1

Groups of order 70

		d	ρ	Label	ID
C₇×D₅	Direct product of C₇ and D₅	35	2	C7xD5	70,1
C₅×D₇	Direct product of C₅ and D₇	35	2	C5xD7	70,2
D₃₅	Dihedral group	35	2+	D35	70,3

Groups of order 105

		d	ρ	Label	ID
C₅×C₇⋊C₃	Direct product of C₅ and C₇⋊C₃	35	3	C5xC7:C3	105,1

Groups of order 140

		d	ρ	Label	ID
C₇×F₅	Direct product of C₇ and F₅	35	4	C7xF5	140,5
C₇⋊F₅	The semidirect product of C₇ and F₅ acting via F₅/D₅=C₂	35	4	C7:F5	140,6
D₅×D₇	Direct product of D₅ and D₇	35	4+	D5xD7	140,7

Groups of order 210

		d	ρ	Label	ID
C₅×F₇	Direct product of C₅ and F₇	35	6	C5xF7	210,1
D₅×C₇⋊C₃	Direct product of D₅ and C₇⋊C₃	35	6	D5xC7:C3	210,2
C₅⋊F₇	The semidirect product of C₅ and F₇ acting via F₇/C₇⋊C₃=C₂	35	6+	C5:F7	210,3

Groups of order 280

		d	ρ	Label	ID
D₇×F₅	Direct product of D₇ and F₅	35	8+	D7xF5	280,32

Groups of order 420

		d	ρ	Label	ID
C₇×A₅	Direct product of C₇ and A₅	35	3	C7xA5	420,13
F₅×C₇⋊C₃	Direct product of F₅ and C₇⋊C₃	35	12	F5xC7:C3	420,14
C₃₅⋊C₁₂	1^st semidirect product of C₃₅ and C₁₂ acting faithfully	35	12	C35:C12	420,15
D₅×F₇	Direct product of D₅ and F₇	35	12+	D5xF7	420,16

On 36 points

Groups of order 36

		d	ρ	Label	ID
Dic₉	Dicyclic group; = C₉ ⋊C₄	36	2-	Dic9	36,1
C₃₆	Cyclic group	36	1	C36	36,2
C₂×C₁₈	Abelian group of type [2,18]	36		C2xC18	36,5
C₃⋊Dic₃	The semidirect product of C₃ and Dic₃ acting via Dic₃/C₆=C₂	36		C3:Dic3	36,7
C₃×C₁₂	Abelian group of type [3,12]	36		C3xC12	36,8
C₆²	Abelian group of type [6,6]	36		C6^2	36,14

Groups of order 72

		d	ρ	Label	ID
C₄×D₉	Direct product of C₄ and D₉	36	2	C4xD9	72,5
D₃₆	Dihedral group	36	2+	D36	72,6
C₉⋊D₄	The semidirect product of C₉ and D₄ acting via D₄/C₂²=C₂	36	2	C9:D4	72,8
D₄×C₉	Direct product of C₉ and D₄	36	2	D4xC9	72,10
C₂²×D₉	Direct product of C₂² and D₉	36		C2^2xD9	72,17
C₄×C₃⋊S₃	Direct product of C₄ and C₃⋊S₃	36		C4xC3:S3	72,32
C₁₂⋊S₃	1^st semidirect product of C₁₂ and S₃ acting via S₃/C₃=C₂	36		C12:S3	72,33
C₃²⋊₇D₄	2^nd semidirect product of C₃² and D₄ acting via D₄/C₂²=C₂	36		C3^2:7D4	72,35
D₄×C₃²	Direct product of C₃² and D₄	36		D4xC3^2	72,37
C₂²×C₃⋊S₃	Direct product of C₂² and C₃⋊S₃	36		C2^2xC3:S3	72,49

Groups of order 108

		d	ρ	Label	ID
C₃×Dic₉	Direct product of C₃ and Dic₉	36	2	C3xDic9	108,6
C₉×Dic₃	Direct product of C₉ and Dic₃	36	2	C9xDic3	108,7
C₃²⋊C₁₂	The semidirect product of C₃² and C₁₂ acting via C₁₂/C₂=C₆	36	6-	C3^2:C12	108,8
C₉⋊C₁₂	The semidirect product of C₉ and C₁₂ acting via C₁₂/C₂=C₆	36	6-	C9:C12	108,9
He₃⋊₃C₄	2^nd semidirect product of He₃ and C₄ acting via C₄/C₂=C₂	36	3	He3:3C4	108,11
C₄×He₃	Direct product of C₄ and He₃	36	3	C4xHe3	108,13
C₄×3_-¹⁺²	Direct product of C₄ and 3_-¹⁺²	36	3	C4xES-(3,1)	108,14
C₉×A₄	Direct product of C₉ and A₄	36	3	C9xA4	108,18
C₉⋊A₄	The semidirect product of C₉ and A₄ acting via A₄/C₂²=C₃	36	3	C9:A4	108,19
C₆×D₉	Direct product of C₆ and D₉	36	2	C6xD9	108,23
S₃×C₁₈	Direct product of C₁₈ and S₃	36	2	S3xC18	108,24
C₂²×He₃	Direct product of C₂² and He₃	36		C2^2xHe3	108,30
C₂²×3_-¹⁺²	Direct product of C₂² and 3_-¹⁺²	36		C2^2xES-(3,1)	108,31
C₃²×Dic₃	Direct product of C₃² and Dic₃	36		C3^2xDic3	108,32
C₃×C₃⋊Dic₃	Direct product of C₃ and C₃⋊Dic₃	36		C3xC3:Dic3	108,33
C₃²×A₄	Direct product of C₃² and A₄	36		C3^2xA4	108,41
S₃×C₃×C₆	Direct product of C₃×C₆ and S₃	36		S3xC3xC6	108,42
C₆×C₃⋊S₃	Direct product of C₆ and C₃⋊S₃	36		C6xC3:S3	108,43

Groups of order 144

		d	ρ	Label	ID
C₄²⋊C₉	The semidirect product of C₄² and C₉ acting via C₉/C₃=C₃	36	3	C4^2:C9	144,3
C₆.S₄	3^rd non-split extension by C₆ of S₄ acting via S₄/A₄=C₂	36	6-	C6.S4	144,33
C₄×C₃.A₄	Direct product of C₄ and C₃.A₄	36	3	C4xC3.A4	144,34
D₄×D₉	Direct product of D₄ and D₉	36	4+	D4xD9	144,41
C₃×C₄²⋊C₃	Direct product of C₃ and C₄²⋊C₃	36	3	C3xC4^2:C3	144,68
C₂²×C₃.A₄	Direct product of C₂² and C₃.A₄	36		C2^2xC3.A4	144,110
C₂⁴⋊C₉	2^nd semidirect product of C₂⁴ and C₉ acting via C₉/C₃=C₃	36		C2^4:C9	144,111
C₃×A₄⋊C₄	Direct product of C₃ and A₄⋊C₄	36	3	C3xA4:C4	144,123
C₆.₇S₄	7^th non-split extension by C₆ of S₄ acting via S₄/A₄=C₂	36	6-	C6.7S4	144,126
Dic₃×A₄	Direct product of Dic₃ and A₄	36	6-	Dic3xA4	144,129
C₁₂×A₄	Direct product of C₁₂ and A₄	36	3	C12xA4	144,155
D₄×C₃⋊S₃	Direct product of D₄ and C₃⋊S₃	36		D4xC3:S3	144,172
A₄×C₂×C₆	Direct product of C₂×C₆ and A₄	36		A4xC2xC6	144,193
C₃×C₂²⋊A₄	Direct product of C₃ and C₂²⋊A₄	36		C3xC2^2:A4	144,194

Groups of order 216

		d	ρ	Label	ID
C₁₈.D₆	3^rd non-split extension by C₁₈ of D₆ acting via D₆/S₃=C₂	36	4+	C18.D6	216,28
C₃⋊D₃₆	The semidirect product of C₃ and D₃₆ acting via D₃₆/D₁₈=C₂	36	4+	C3:D36	216,29
C₉⋊D₁₂	The semidirect product of C₉ and D₁₂ acting via D₁₂/D₆=C₂	36	4+	C9:D12	216,32
C₆.S₃²	2^nd non-split extension by C₆ of S₃² acting via S₃²/C₃⋊S₃=C₂	36	6	C6.S3^2	216,34
He₃⋊₂D₄	1^st semidirect product of He₃ and D₄ acting via D₄/C₂=C₂²	36	6+	He3:2D4	216,35
He₃⋊(C₂×C₄)	2^nd semidirect product of He₃ and C₂×C₄ acting via C₂×C₄/C₂=C₂²	36	6-	He3:(C2xC4)	216,36
He₃⋊₃D₄	2^nd semidirect product of He₃ and D₄ acting via D₄/C₂=C₂²	36	6	He3:3D4	216,37
C₄×C₃²⋊C₆	Direct product of C₄ and C₃²⋊C₆	36	6	C4xC3^2:C6	216,50
He₃⋊₄D₄	1^st semidirect product of He₃ and D₄ acting via D₄/C₄=C₂	36	6+	He3:4D4	216,51
C₄×C₉⋊C₆	Direct product of C₄ and C₉⋊C₆	36	6	C4xC9:C6	216,53
D₃₆⋊C₃	The semidirect product of D₃₆ and C₃ acting faithfully	36	6+	D36:C3	216,54
C₃×C₉⋊D₄	Direct product of C₃ and C₉⋊D₄	36	2	C3xC9:D4	216,57
C₉×C₃⋊D₄	Direct product of C₉ and C₃⋊D₄	36	2	C9xC3:D4	216,58
He₃⋊₆D₄	1^st semidirect product of He₃ and D₄ acting via D₄/C₂²=C₂	36	6	He3:6D4	216,60
Dic₉⋊C₆	The semidirect product of Dic₉ and C₆ acting faithfully	36	6	Dic9:C6	216,62
C₄×He₃⋊C₂	Direct product of C₄ and He₃⋊C₂	36	3	C4xHe3:C2	216,67
He₃⋊₅D₄	2^nd semidirect product of He₃ and D₄ acting via D₄/C₄=C₂	36	6	He3:5D4	216,68
He₃⋊₇D₄	2^nd semidirect product of He₃ and D₄ acting via D₄/C₂²=C₂	36	6	He3:7D4	216,72
D₄×He₃	Direct product of D₄ and He₃	36	6	D4xHe3	216,77
D₄×3_-¹⁺²	Direct product of D₄ and 3_-¹⁺²	36	6	D4xES-(3,1)	216,78
C₉×S₄	Direct product of C₉ and S₄	36	3	C9xS4	216,89
C₃×C₃.S₄	Direct product of C₃ and C₃.S₄	36	6	C3xC3.S4	216,91
C₉⋊S₄	The semidirect product of C₉ and S₄ acting via S₄/A₄=C₂	36	6+	C9:S4	216,93
D₉⋊A₄	The semidirect product of D₉ and A₄ acting via A₄/C₂²=C₃	36	6+	D9:A4	216,96
A₄×D₉	Direct product of A₄ and D₉	36	6+	A4xD9	216,97
S₃×C₃.A₄	Direct product of S₃ and C₃.A₄	36	6	S3xC3.A4	216,98
C₂×He₃⋊C₄	Direct product of C₂ and He₃⋊C₄	36	3	C2xHe3:C4	216,100
C₂×S₃×D₉	Direct product of C₂, S₃ and D₉	36	4+	C2xS3xD9	216,101
C₂²×C₃²⋊C₆	Direct product of C₂² and C₃²⋊C₆	36		C2^2xC3^2:C6	216,110
C₂²×C₉⋊C₆	Direct product of C₂² and C₉⋊C₆	36		C2^2xC9:C6	216,111
C₂²×He₃⋊C₂	Direct product of C₂² and He₃⋊C₂	36		C2^2xHe3:C2	216,113
C₃³⋊₈(C₂×C₄)	5^th semidirect product of C₃³ and C₂×C₄ acting via C₂×C₄/C₂=C₂²	36		C3^3:8(C2xC4)	216,126
C₃³⋊₇D₄	4^th semidirect product of C₃³ and D₄ acting via D₄/C₂=C₂²	36		C3^3:7D4	216,128
C₃³⋊₈D₄	5^th semidirect product of C₃³ and D₄ acting via D₄/C₂=C₂²	36		C3^3:8D4	216,129
C₃²×C₃⋊D₄	Direct product of C₃² and C₃⋊D₄	36		C3^2xC3:D4	216,139
C₃×C₃²⋊₇D₄	Direct product of C₃ and C₃²⋊₇D₄	36		C3xC3^2:7D4	216,144
C₃²×S₄	Direct product of C₃² and S₄	36		C3^2xS4	216,163
C₃²⋊₄S₄	2^nd semidirect product of C₃² and S₄ acting via S₄/A₄=C₂	36		C3^2:4S4	216,165
A₄×C₃⋊S₃	Direct product of A₄ and C₃⋊S₃	36		A4xC3:S3	216,167
C₂×S₃×C₃⋊S₃	Direct product of C₂, S₃ and C₃⋊S₃	36		C2xS3xC3:S3	216,171

Groups of order 288

		d	ρ	Label	ID
C₂.(C₄²⋊C₉)	The central stem extension by C₂ of C₄²⋊C₉	36	6	C2.(C4^2:C9)	288,3
C₄²⋊D₉	The semidirect product of C₄² and D₉ acting via D₉/C₃=S₃	36	6+	C4^2:D9	288,67
C₂×C₄²⋊C₉	Direct product of C₂ and C₄²⋊C₉	36	3	C2xC4^2:C9	288,71
C₂⁴⋊C₁₈	1^st semidirect product of C₂⁴ and C₁₈ acting via C₁₈/C₃=C₆	36	6	C2^4:C18	288,73
C₄²⋊₂C₁₈	2^nd semidirect product of C₄² and C₁₈ acting via C₁₈/C₃=C₆	36	6	C4^2:2C18	288,75
C₃×C₂³.₃A₄	Direct product of C₃ and C₂³.₃A₄	36	6	C3xC2^3.3A4	288,230
C₄×C₃.S₄	Direct product of C₄ and C₃.S₄	36	6	C4xC3.S4	288,333
C₂²⋊D₃₆	The semidirect product of C₂² and D₃₆ acting via D₃₆/C₁₂=S₃	36	6+	C2^2:D36	288,334
C₂³.D₁₈	5^th non-split extension by C₂³ of D₁₈ acting via D₁₈/C₆=S₃	36	6	C2^3.D18	288,342
D₄×C₃.A₄	Direct product of D₄ and C₃.A₄	36	6	D4xC3.A4	288,344
C₃×C₄²⋊S₃	Direct product of C₃ and C₄²⋊S₃	36	3	C3xC4^2:S3	288,397
(C₄×C₁₂)⋊S₃	1^st semidirect product of C₄×C₁₂ and S₃ acting faithfully	36	6+	(C4xC12):S3	288,401
(C₄×C₁₂)⋊C₆	3^rd semidirect product of C₄×C₁₂ and C₆ acting faithfully	36	6+	(C4xC12):C6	288,405
S₃×C₄²⋊C₃	Direct product of S₃ and C₄²⋊C₃	36	6	S3xC4^2:C3	288,407
C₆×C₄²⋊C₃	Direct product of C₆ and C₄²⋊C₃	36	3	C6xC4^2:C3	288,632
C₃×C₂³.A₄	Direct product of C₃ and C₂³.A₄	36	6	C3xC2^3.A4	288,636
C₂²×C₃.S₄	Direct product of C₂² and C₃.S₄	36		C2^2xC3.S4	288,835
C₂⁴⋊D₉	3^rd semidirect product of C₂⁴ and D₉ acting via D₉/C₃=S₃	36	6	C2^4:D9	288,836
C₂×C₂⁴⋊C₉	Direct product of C₂ and C₂⁴⋊C₉	36		C2xC2^4:C9	288,838
PSU₃(𝔽₂)⋊C₄	The semidirect product of PSU₃(𝔽₂) and C₄ acting via C₄/C₂=C₂	36	8	PSU(3,2):C4	288,842
F₉⋊C₄	The semidirect product of F₉ and C₄ acting via C₄/C₂=C₂	36	8	F9:C4	288,843
Dic₃×S₄	Direct product of Dic₃ and S₄	36	6-	Dic3xS4	288,853
Dic₃⋊₂S₄	The semidirect product of Dic₃ and S₄ acting through Inn(Dic₃)	36	6	Dic3:2S4	288,854
Dic₃⋊S₄	The semidirect product of Dic₃ and S₄ acting via S₄/A₄=C₂	36	6	Dic3:S4	288,855
S₃×A₄⋊C₄	Direct product of S₃ and A₄⋊C₄	36	6	S3xA4:C4	288,856
D₆⋊S₄	1^st semidirect product of D₆ and S₄ acting via S₄/A₄=C₂	36	6	D6:S4	288,857
A₄⋊D₁₂	The semidirect product of A₄ and D₁₂ acting via D₁₂/D₆=C₂	36	6+	A4:D12	288,858
C₄×F₉	Direct product of C₄ and F₉	36	8	C4xF9	288,863
C₄⋊F₉	The semidirect product of C₄ and F₉ acting via F₉/C₃²⋊C₄=C₂	36	8	C4:F9	288,864
C₄×PSU₃(𝔽₂)	Direct product of C₄ and PSU₃(𝔽₂)	36	8	C4xPSU(3,2)	288,892
C₄⋊PSU₃(𝔽₂)	The semidirect product of C₄ and PSU₃(𝔽₂) acting via PSU₃(𝔽₂)/C₃²⋊C₄=C₂	36	8	C4:PSU(3,2)	288,893
C₁₂×S₄	Direct product of C₁₂ and S₄	36	3	C12xS4	288,897
C₃×C₄⋊S₄	Direct product of C₃ and C₄⋊S₄	36	6	C3xC4:S4	288,898
C₃×A₄⋊D₄	Direct product of C₃ and A₄⋊D₄	36	6	C3xA4:D4	288,906
C₄×C₃⋊S₄	Direct product of C₄ and C₃⋊S₄	36	6	C4xC3:S4	288,908
C₁₂⋊S₄	1^st semidirect product of C₁₂ and S₄ acting via S₄/A₄=C₂	36	6+	C12:S4	288,909
(C₂×C₆)⋊₄S₄	2^nd semidirect product of C₂×C₆ and S₄ acting via S₄/A₄=C₂	36	6	(C2xC6):4S4	288,917
C₄×S₃×A₄	Direct product of C₄, S₃ and A₄	36	6	C4xS3xA4	288,919
A₄×D₁₂	Direct product of A₄ and D₁₂	36	6+	A4xD12	288,920
A₄×C₃⋊D₄	Direct product of A₄ and C₃⋊D₄	36	6	A4xC3:D4	288,928
C₃×D₄×A₄	Direct product of C₃, D₄ and A₄	36	6	C3xD4xA4	288,980
C₂²×F₉	Direct product of C₂² and F₉	36		C2^2xF9	288,1030
C₂²×PSU₃(𝔽₂)	Direct product of C₂² and PSU₃(𝔽₂)	36		C2^2xPSU(3,2)	288,1032
C₂×C₆×S₄	Direct product of C₂×C₆ and S₄	36		C2xC6xS4	288,1033
C₂²×C₃⋊S₄	Direct product of C₂² and C₃⋊S₄	36		C2^2xC3:S4	288,1034
C₂²×S₃×A₄	Direct product of C₂², S₃ and A₄	36		C2^2xS3xA4	288,1037
S₃×C₂²⋊A₄	Direct product of S₃ and C₂²⋊A₄	36		S3xC2^2:A4	288,1038
C₆×C₂²⋊A₄	Direct product of C₆ and C₂²⋊A₄	36		C6xC2^2:A4	288,1042

Groups of order 324

		d	ρ	Label	ID
C₉×Dic₉	Direct product of C₉ and Dic₉	36	2	C9xDic9	324,6
C₃²⋊C₃₆	The semidirect product of C₃² and C₃₆ acting via C₃₆/C₆=C₆	36	6	C3^2:C36	324,7
C₉⋊C₃₆	The semidirect product of C₉ and C₃₆ acting via C₃₆/C₆=C₆	36	6	C9:C36	324,9
He₃⋊C₁₂	The semidirect product of He₃ and C₁₂ acting via C₁₂/C₂=C₆	36	3	He3:C12	324,13
C₃³⋊C₁₂	1^st semidirect product of C₃³ and C₁₂ acting via C₁₂/C₂=C₆	36	6-	C3^3:C12	324,14
C₃²⋊₂Dic₉	2^nd semidirect product of C₃² and Dic₉ acting via Dic₉/C₆=S₃	36	6	C3^2:2Dic9	324,20
C₃³⋊Dic₃	2^nd semidirect product of C₃³ and Dic₃ acting via Dic₃/C₂=S₃	36	6-	C3^3:Dic3	324,22
C₄×C₃≀C₃	Direct product of C₄ and C₃≀C₃	36	3	C4xC3wrC3	324,31
He₃⋊₂A₄	2^nd semidirect product of He₃ and A₄ acting via A₄/C₂²=C₃	36	9	He3:2A4	324,55
C₆².₆C₃²	6^th non-split extension by C₆² of C₃² acting faithfully	36	9	C6^2.6C3^2	324,58
D₉×C₁₈	Direct product of C₁₈ and D₉	36	2	D9xC18	324,61
C₂×C₃²⋊C₁₈	Direct product of C₂ and C₃²⋊C₁₈	36	6	C2xC3^2:C18	324,62
C₂×C₉⋊C₁₈	Direct product of C₂ and C₉⋊C₁₈	36	6	C2xC9:C18	324,64
C₂×C₃²⋊₂D₉	Direct product of C₂ and C₃²⋊₂D₉	36	6	C2xC3^2:2D9	324,75
C₂²×C₃≀C₃	Direct product of C₂² and C₃≀C₃	36		C2^2xC3wrC3	324,86
C₃×C₃²⋊C₁₂	Direct product of C₃ and C₃²⋊C₁₂	36	6	C3xC3^2:C12	324,92
Dic₃×He₃	Direct product of Dic₃ and He₃	36	6	Dic3xHe3	324,93
C₃×C₉⋊C₁₂	Direct product of C₃ and C₉⋊C₁₂	36	6	C3xC9:C12	324,94
Dic₃×3_-¹⁺²	Direct product of Dic₃ and 3_-¹⁺²	36	6	Dic3xES-(3,1)	324,95
He₃⋊₆Dic₃	2^nd semidirect product of He₃ and Dic₃ acting via Dic₃/C₆=C₂	36	6	He3:6Dic3	324,104
C₉×C₃²⋊C₄	Direct product of C₉ and C₃²⋊C₄	36	4	C9xC3^2:C4	324,109
C₃²⋊₃Dic₉	The semidirect product of C₃² and Dic₉ acting via Dic₉/C₉=C₄	36	4	C3^2:3Dic9	324,112
C₃×S₃×D₉	Direct product of C₃, S₃ and D₉	36	4	C3xS3xD9	324,114
S₃²×C₉	Direct product of C₉, S₃ and S₃	36	4	S3^2xC9	324,115
C₃²⋊₅D₁₈	2^nd semidirect product of C₃² and D₁₈ acting via D₁₈/C₉=C₂²	36	4	C3^2:5D18	324,123
A₄×He₃	Direct product of A₄ and He₃	36	9	A4xHe3	324,130
A₄×3_-¹⁺²	Direct product of A₄ and 3_-¹⁺²	36	9	A4xES-(3,1)	324,131
C₆×C₃²⋊C₆	Direct product of C₆ and C₃²⋊C₆	36	6	C6xC3^2:C6	324,138
C₂×S₃×He₃	Direct product of C₂, S₃ and He₃	36	6	C2xS3xHe3	324,139
C₆×C₉⋊C₆	Direct product of C₆ and C₉⋊C₆	36	6	C6xC9:C6	324,140
C₂×S₃×3_-¹⁺²	Direct product of C₂, S₃ and 3_-¹⁺²	36	6	C2xS3xES-(3,1)	324,141
C₂×He₃⋊₅S₃	Direct product of C₂ and He₃⋊₅S₃	36	6	C2xHe3:5S3	324,150
C₃²×C₃⋊Dic₃	Direct product of C₃² and C₃⋊Dic₃	36		C3^2xC3:Dic3	324,156
C₃²×C₃²⋊C₄	Direct product of C₃² and C₃²⋊C₄	36		C3^2xC3^2:C4	324,161
C₃⁴⋊C₄	3^rd semidirect product of C₃⁴ and C₄ acting faithfully	36		C3^4:C4	324,163
S₃²×C₃²	Direct product of C₃², S₃ and S₃	36		S3^2xC3^2	324,165
C₃×S₃×C₃⋊S₃	Direct product of C₃, S₃ and C₃⋊S₃	36		C3xS3xC3:S3	324,166
C₃³⋊₁₇D₆	5^th semidirect product of C₃³ and D₆ acting via D₆/C₃=C₂²	36		C3^3:17D6	324,170
C₃⋊S₃×C₃×C₆	Direct product of C₃×C₆ and C₃⋊S₃	36		C3:S3xC3xC6	324,173

Groups of order 432

		d	ρ	Label	ID
C₁₂².C₃	2^nd non-split extension by C₁₂² of C₃ acting faithfully	36	3	C12^2.C3	432,102
C₄²⋊He₃	The semidirect product of C₄² and He₃ acting via He₃/C₃²=C₃	36	3	C4^2:He3	432,103
C₃²⋊D₆⋊C₄	The semidirect product of C₃²⋊D₆ and C₄ acting via C₄/C₂=C₂	36	6	C3^2:D6:C4	432,238
C₆².Dic₃	8^th non-split extension by C₆² of Dic₃ acting via Dic₃/C₂=S₃	36	6-	C6^2.Dic3	432,249
C₃×C₆.S₄	Direct product of C₃ and C₆.S₄	36	6	C3xC6.S4	432,250
C₆²⋊₅Dic₃	4^th semidirect product of C₆² and Dic₃ acting via Dic₃/C₂=S₃	36	6-	C6^2:5Dic3	432,251
C₆²⋊₆Dic₃	5^th semidirect product of C₆² and Dic₃ acting via Dic₃/C₂=S₃	36	3	C6^2:6Dic3	432,260
Dic₃×C₃.A₄	Direct product of Dic₃ and C₃.A₄	36	6	Dic3xC3.A4	432,271
C₆²⋊₄C₁₂	3^rd semidirect product of C₆² and C₁₂ acting via C₁₂/C₂=C₆	36	6-	C6^2:4C12	432,272
C₂²⋊(He₃⋊C₄)	The semidirect product of C₂² and He₃⋊C₄ acting via He₃⋊C₄/He₃⋊C₂=C₂	36	6	C2^2:(He3:C4)	432,279
C₄×C₃²⋊D₆	Direct product of C₄ and C₃²⋊D₆	36	6	C4xC3^2:D6	432,300
C₃⋊S₃⋊D₁₂	The semidirect product of C₃⋊S₃ and D₁₂ acting via D₁₂/C₄=S₃	36	12+	C3:S3:D12	432,301
C₁₂.₈₆S₃²	6^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃⋊S₃=C₂	36	6+	C12.86S3^2	432,302
D₁₈⋊D₆	4^th semidirect product of D₁₈ and D₆ acting via D₆/S₃=C₂	36	4+	D18:D6	432,315
C₆²⋊D₆	1^st semidirect product of C₆² and D₆ acting faithfully	36	12+	C6^2:D6	432,323
C₆²⋊₂D₆	2^nd semidirect product of C₆² and D₆ acting faithfully	36	6	C6^2:2D6	432,324
C₄×C₃².A₄	Direct product of C₄ and C₃².A₄	36	3	C4xC3^2.A4	432,332
C₄×C₃²⋊A₄	Direct product of C₄ and C₃²⋊A₄	36	3	C4xC3^2:A4	432,333
D₄×C₃²⋊C₆	Direct product of D₄ and C₃²⋊C₆	36	12+	D4xC3^2:C6	432,360
D₄×C₉⋊C₆	Direct product of D₄ and C₉⋊C₆; = Aut(D₃₆) = Hol(C₃₆)	36	12+	D4xC9:C6	432,362
D₄×He₃⋊C₂	Direct product of D₄ and He₃⋊C₂	36	6	D4xHe3:C2	432,390
D₉×S₄	Direct product of D₉ and S₄	36	6+	D9xS4	432,521
S₃×C₃.S₄	Direct product of S₃ and C₃.S₄	36	12+	S3xC3.S4	432,522
C₃.A₄²	2^nd central extension by C₃ of A₄²	36	9	C3.A4^2	432,525
C₂⁴⋊He₃	The semidirect product of C₂⁴ and He₃ acting via He₃/C₃=C₃²	36	9	C2^4:He3	432,526
C₂⁴⋊₂3_-¹⁺²	2^nd semidirect product of C₂⁴ and 3_-¹⁺² acting via 3_-¹⁺²/C₃=C₃²	36	9	C2^4:2ES-(3,1)	432,528
C₂×He₃⋊D₄	Direct product of C₂ and He₃⋊D₄	36	6+	C2xHe3:D4	432,530
C₆×C₃.S₄	Direct product of C₆ and C₃.S₄	36	6	C6xC3.S4	432,534
C₂×S₃×C₃.A₄	Direct product of C₂, S₃ and C₃.A₄	36	6	C2xS3xC3.A4	432,541
C₂²×C₃²⋊D₆	Direct product of C₂² and C₃²⋊D₆	36		C2^2xC3^2:D6	432,545
C₂²×C₃².A₄	Direct product of C₂² and C₃².A₄	36		C2^2xC3^2.A4	432,549
C₂²×C₃²⋊A₄	Direct product of C₂² and C₃²⋊A₄	36		C2^2xC3^2:A4	432,550
C₆².A₄	9^th non-split extension by C₆² of A₄ acting via A₄/C₂²=C₃	36		C6^2.A4	432,554
C₆²⋊A₄	2^nd semidirect product of C₆² and A₄ acting via A₄/C₂²=C₃	36		C6^2:A4	432,555
C₃×C₆.₇S₄	Direct product of C₃ and C₆.₇S₄	36	6	C3xC6.7S4	432,618
C₃×Dic₃×A₄	Direct product of C₃, Dic₃ and A₄	36	6	C3xDic3xA4	432,624
C₆²⋊₂₃D₆	4^th semidirect product of C₆² and D₆ acting via D₆/C₃=C₂²	36		C6^2:23D6	432,686
C₃⋊S₃×S₄	Direct product of C₃⋊S₃ and S₄	36		C3:S3xS4	432,746
C₃×A₄²	Direct product of C₃, A₄ and A₄	36	9	C3xA4^2	432,750
C₆×C₃⋊S₄	Direct product of C₆ and C₃⋊S₄	36	6	C6xC3:S4	432,761
S₃×C₆×A₄	Direct product of C₆, S₃ and A₄	36	6	S3xC6xA4	432,763

On 37 points

Groups of order 37

		d	ρ	Label	ID
C₃₇	Cyclic group	37	1	C37	37,1

Groups of order 74

		d	ρ	Label	ID
D₃₇	Dihedral group	37	2+	D37	74,1

Groups of order 111

		d	ρ	Label	ID
C₃₇⋊C₃	The semidirect product of C₃₇ and C₃ acting faithfully	37	3	C37:C3	111,1

Groups of order 148

		d	ρ	Label	ID
C₃₇⋊C₄	The semidirect product of C₃₇ and C₄ acting faithfully	37	4+	C37:C4	148,3

Groups of order 222

		d	ρ	Label	ID
C₃₇⋊C₆	The semidirect product of C₃₇ and C₆ acting faithfully	37	6+	C37:C6	222,1

Groups of order 333

		d	ρ	Label	ID
C₃₇⋊C₉	The semidirect product of C₃₇ and C₉ acting faithfully	37	9	C37:C9	333,3

Groups of order 444

		d	ρ	Label	ID
C₃₇⋊C₁₂	The semidirect product of C₃₇ and C₁₂ acting faithfully	37	12+	C37:C12	444,7

On 38 points

Groups of order 38

		d	ρ	Label	ID
C₃₈	Cyclic group	38	1	C38	38,2

Groups of order 76

		d	ρ	Label	ID
D₃₈	Dihedral group; = C₂×D₁₉	38	2+	D38	76,3

Groups of order 114

		d	ρ	Label	ID
C₂×C₁₉⋊C₃	Direct product of C₂ and C₁₉⋊C₃	38	3	C2xC19:C3	114,2

Groups of order 228

		d	ρ	Label	ID
C₂×C₁₉⋊C₆	Direct product of C₂ and C₁₉⋊C₆	38	6+	C2xC19:C6	228,7

Groups of order 342

		d	ρ	Label	ID
C₂×C₁₉⋊C₉	Direct product of C₂ and C₁₉⋊C₉	38	9	C2xC19:C9	342,8

On 39 points

Groups of order 39

		d	ρ	Label	ID
C₃₉	Cyclic group	39	1	C39	39,2

Groups of order 78

		d	ρ	Label	ID
S₃×C₁₃	Direct product of C₁₃ and S₃	39	2	S3xC13	78,3
C₃×D₁₃	Direct product of C₃ and D₁₃	39	2	C3xD13	78,4
D₃₉	Dihedral group	39	2+	D39	78,5

Groups of order 117

		d	ρ	Label	ID
C₃×C₁₃⋊C₃	Direct product of C₃ and C₁₃⋊C₃	39	3	C3xC13:C3	117,3

Groups of order 156

		d	ρ	Label	ID
C₃×C₁₃⋊C₄	Direct product of C₃ and C₁₃⋊C₄	39	4	C3xC13:C4	156,9
C₃₉⋊C₄	1^st semidirect product of C₃₉ and C₄ acting faithfully	39	4	C39:C4	156,10
S₃×D₁₃	Direct product of S₃ and D₁₃	39	4+	S3xD13	156,11

Groups of order 234

		d	ρ	Label	ID
C₃×C₁₃⋊C₆	Direct product of C₃ and C₁₃⋊C₆	39	6	C3xC13:C6	234,7
S₃×C₁₃⋊C₃	Direct product of S₃ and C₁₃⋊C₃	39	6	S3xC13:C3	234,8
D₃₉⋊C₃	The semidirect product of D₃₉ and C₃ acting faithfully	39	6+	D39:C3	234,9

Groups of order 312

		d	ρ	Label	ID
S₃×C₁₃⋊C₄	Direct product of S₃ and C₁₃⋊C₄	39	8+	S3xC13:C4	312,46

Groups of order 468

		d	ρ	Label	ID
C₃×F₁₃	Direct product of C₃ and F₁₃	39	12	C3xF13	468,29
C₃⋊F₁₃	The semidirect product of C₃ and F₁₃ acting via F₁₃/C₁₃⋊C₆=C₂	39	12	C3:F13	468,30
S₃×C₁₃⋊C₆	Direct product of S₃ and C₁₃⋊C₆	39	12+	S3xC13:C6	468,31

On 40 points

Groups of order 40

		d	ρ	Label	ID
C₅⋊₂C₈	The semidirect product of C₅ and C₈ acting via C₈/C₄=C₂	40	2	C5:2C8	40,1
C₄₀	Cyclic group	40	1	C40	40,2
C₅⋊C₈	The semidirect product of C₅ and C₈ acting via C₈/C₂=C₄	40	4-	C5:C8	40,3
Dic₁₀	Dicyclic group; = C₅ ⋊Q₈	40	2-	Dic10	40,4
C₂×Dic₅	Direct product of C₂ and Dic₅	40		C2xDic5	40,7
C₂×C₂₀	Abelian group of type [2,20]	40		C2xC20	40,9
C₅×Q₈	Direct product of C₅ and Q₈	40	2	C5xQ8	40,11
C₂²×C₁₀	Abelian group of type [2,2,10]	40		C2^2xC10	40,14

Groups of order 80

		d	ρ	Label	ID
C₈×D₅	Direct product of C₈ and D₅	40	2	C8xD5	80,4
C₈⋊D₅	3^rd semidirect product of C₈ and D₅ acting via D₅/C₅=C₂	40	2	C8:D5	80,5
C₄₀⋊C₂	2^nd semidirect product of C₄₀ and C₂ acting faithfully	40	2	C40:C2	80,6
D₄₀	Dihedral group	40	2+	D40	80,7
C₄.Dic₅	The non-split extension by C₄ of Dic₅ acting via Dic₅/C₁₀=C₂	40	2	C4.Dic5	80,10
D₁₀⋊C₄	1^st semidirect product of D₁₀ and C₄ acting via C₄/C₂=C₂	40		D10:C4	80,14
D₄⋊D₅	The semidirect product of D₄ and D₅ acting via D₅/C₅=C₂	40	4+	D4:D5	80,15
D₄.D₅	The non-split extension by D₄ of D₅ acting via D₅/C₅=C₂	40	4-	D4.D5	80,16
Q₈⋊D₅	The semidirect product of Q₈ and D₅ acting via D₅/C₅=C₂	40	4+	Q8:D5	80,17
C₂³.D₅	The non-split extension by C₂³ of D₅ acting via D₅/C₅=C₂	40		C2^3.D5	80,19
C₅×C₂²⋊C₄	Direct product of C₅ and C₂²⋊C₄	40		C5xC2^2:C4	80,21
C₅×M₄(2)	Direct product of C₅ and M₄(2)	40	2	C5xM4(2)	80,24
C₅×D₈	Direct product of C₅ and D₈	40	2	C5xD8	80,25
C₅×SD₁₆	Direct product of C₅ and SD₁₆	40	2	C5xSD16	80,26
D₅⋊C₈	The semidirect product of D₅ and C₈ acting via C₈/C₄=C₂	40	4	D5:C8	80,28
C₄.F₅	The non-split extension by C₄ of F₅ acting via F₅/D₅=C₂	40	4	C4.F5	80,29
C₂².F₅	The non-split extension by C₂² of F₅ acting via F₅/D₅=C₂	40	4-	C2^2.F5	80,33
C₂×C₄×D₅	Direct product of C₂×C₄ and D₅	40		C2xC4xD5	80,36
C₂×D₂₀	Direct product of C₂ and D₂₀	40		C2xD20	80,37
C₄○D₂₀	Central product of C₄ and D₂₀	40	2	C4oD20	80,38
D₄⋊₂D₅	The semidirect product of D₄ and D₅ acting through Inn(D₄)	40	4-	D4:2D5	80,40
Q₈×D₅	Direct product of Q₈ and D₅	40	4-	Q8xD5	80,41
Q₈⋊₂D₅	The semidirect product of Q₈ and D₅ acting through Inn(Q₈)	40	4+	Q8:2D5	80,42
C₂×C₅⋊D₄	Direct product of C₂ and C₅⋊D₄	40		C2xC5:D4	80,44
D₄×C₁₀	Direct product of C₁₀ and D₄	40		D4xC10	80,46
C₅×C₄○D₄	Direct product of C₅ and C₄○D₄	40	2	C5xC4oD4	80,48
C₂³×D₅	Direct product of C₂³ and D₅	40		C2^3xD5	80,51

Groups of order 120

		d	ρ	Label	ID
C₅×SL₂(𝔽₃)	Direct product of C₅ and SL₂(𝔽₃)	40	2	C5xSL(2,3)	120,15

Groups of order 160

		d	ρ	Label	ID
D₂₀⋊₄C₄	1^st semidirect product of D₂₀ and C₄ acting via C₄/C₂=C₂	40	2	D20:4C4	160,12
C₂³.₁D₁₀	1^st non-split extension by C₂³ of D₁₀ acting via D₁₀/C₅=C₂²	40	4	C2^3.1D10	160,13
C₂₀.₄₆D₄	3^rd non-split extension by C₂₀ of D₄ acting via D₄/C₂²=C₂	40	4+	C20.46D4	160,30
D₂₀⋊₇C₄	4^th semidirect product of D₂₀ and C₄ acting via C₄/C₂=C₂	40	4	D20:7C4	160,32
C₂₀.D₄	8^th non-split extension by C₂₀ of D₄ acting via D₄/C₂=C₂²	40	4	C20.D4	160,40
C₂³⋊Dic₅	The semidirect product of C₂³ and Dic₅ acting via Dic₅/C₅=C₄	40	4	C2^3:Dic5	160,41
D₄⋊₂Dic₅	2^nd semidirect product of D₄ and Dic₅ acting via Dic₅/C₁₀=C₂	40	4	D4:2Dic5	160,44
C₅×C₂³⋊C₄	Direct product of C₅ and C₂³⋊C₄	40	4	C5xC2^3:C4	160,49
C₅×C₄.D₄	Direct product of C₅ and C₄.D₄	40	4	C5xC4.D4	160,50
C₅×C₄≀C₂	Direct product of C₅ and C₄≀C₂	40	2	C5xC4wrC2	160,54
C₈×F₅	Direct product of C₈ and F₅	40	4	C8xF5	160,66
C₈⋊F₅	3^rd semidirect product of C₈ and F₅ acting via F₅/D₅=C₂	40	4	C8:F5	160,67
C₄₀⋊C₄	2^nd semidirect product of C₄₀ and C₄ acting faithfully	40	4	C40:C4	160,68
D₅.D₈	The non-split extension by D₅ of D₈ acting via D₈/C₈=C₂	40	4	D5.D8	160,69
D₁₀.D₄	1^st non-split extension by D₁₀ of D₄ acting via D₄/C₂=C₂²	40	4+	D10.D4	160,74
D₁₀.₃Q₈	3^rd non-split extension by D₁₀ of Q₈ acting via Q₈/C₄=C₂	40		D10.3Q8	160,81
D₂₀⋊C₄	1^st semidirect product of D₂₀ and C₄ acting faithfully	40	8+	D20:C4	160,82
D₄⋊F₅	2^nd semidirect product of D₄ and F₅ acting via F₅/D₅=C₂	40	8-	D4:F5	160,83
Q₈⋊F₅	1^st semidirect product of Q₈ and F₅ acting via F₅/D₅=C₂	40	8-	Q8:F5	160,84
Q₈⋊₂F₅	2^nd semidirect product of Q₈ and F₅ acting via F₅/D₅=C₂	40	8+	Q8:2F5	160,85
C₂³⋊F₅	The semidirect product of C₂³ and F₅ acting via F₅/C₅=C₄	40	4	C2^3:F5	160,86
C₂³.F₅	The non-split extension by C₂³ of F₅ acting via F₅/C₅=C₄	40	4	C2^3.F5	160,88
D₅×C₂²⋊C₄	Direct product of D₅ and C₂²⋊C₄	40		D5xC2^2:C4	160,101
C₂²⋊D₂₀	The semidirect product of C₂² and D₂₀ acting via D₂₀/D₁₀=C₂	40		C2^2:D20	160,103
D₅×M₄(2)	Direct product of D₅ and M₄(2)	40	4	D5xM4(2)	160,127
C₈⋊D₁₀	1^st semidirect product of C₈ and D₁₀ acting via D₁₀/C₅=C₂²	40	4+	C8:D10	160,129
D₅×D₈	Direct product of D₅ and D₈	40	4+	D5xD8	160,131
D₈⋊D₅	2^nd semidirect product of D₈ and D₅ acting via D₅/C₅=C₂	40	4	D8:D5	160,132
D₅×SD₁₆	Direct product of D₅ and SD₁₆	40	4	D5xSD16	160,134
D₄₀⋊C₂	6^th semidirect product of D₄₀ and C₂ acting faithfully	40	4+	D40:C2	160,135
D₄.D₁₀	1^st non-split extension by D₄ of D₁₀ acting via D₁₀/C₁₀=C₂	40	4	D4.D10	160,153
C₂³⋊D₁₀	1^st semidirect product of C₂³ and D₁₀ acting via D₁₀/C₅=C₂²	40		C2^3:D10	160,158
D₄⋊D₁₀	2^nd semidirect product of D₄ and D₁₀ acting via D₁₀/C₁₀=C₂	40	4+	D4:D10	160,170
C₂⁴⋊₂D₅	1^st semidirect product of C₂⁴ and D₅ acting via D₅/C₅=C₂	40		C2^4:2D5	160,174
C₅×C₂²≀C₂	Direct product of C₅ and C₂²≀C₂	40		C5xC2^2wrC2	160,181
C₅×C₈⋊C₂²	Direct product of C₅ and C₈⋊C₂²	40	4	C5xC8:C2^2	160,197
D₅⋊M₄(2)	The semidirect product of D₅ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	40	4	D5:M4(2)	160,202
C₂×C₄×F₅	Direct product of C₂×C₄ and F₅	40		C2xC4xF5	160,203
C₂×C₄⋊F₅	Direct product of C₂ and C₄⋊F₅	40		C2xC4:F5	160,204
D₁₀.C₂³	11^st non-split extension by D₁₀ of C₂³ acting via C₂³/C₂²=C₂	40	4	D10.C2^3	160,205
Q₈×F₅	Direct product of Q₈ and F₅	40	8-	Q8xF5	160,209
C₂×C₂²⋊F₅	Direct product of C₂ and C₂²⋊F₅	40		C2xC2^2:F5	160,212
C₂×D₄×D₅	Direct product of C₂, D₄ and D₅	40		C2xD4xD5	160,217
D₄⋊₆D₁₀	2^nd semidirect product of D₄ and D₁₀ acting through Inn(D₄)	40	4	D4:6D10	160,219
D₅×C₄○D₄	Direct product of D₅ and C₄○D₄	40	4	D5xC4oD4	160,223
D₄⋊₈D₁₀	4^th semidirect product of D₄ and D₁₀ acting through Inn(D₄)	40	4+	D4:8D10	160,224
C₅×2₊¹⁺⁴	Direct product of C₅ and 2₊¹⁺⁴	40	4	C5xES+(2,2)	160,232
C₂³×F₅	Direct product of C₂³ and F₅	40		C2^3xF5	160,236

Groups of order 200

		d	ρ	Label	ID
C₅×C₅⋊₂C₈	Direct product of C₅ and C₅⋊₂C₈	40	2	C5xC5:2C8	200,15
C₅×C₅⋊C₈	Direct product of C₅ and C₅⋊C₈	40	4	C5xC5:C8	200,18
C₅²⋊₃C₈	2^nd semidirect product of C₅² and C₈ acting via C₈/C₂=C₄	40	4	C5^2:3C8	200,19
C₅²⋊₅C₈	4^th semidirect product of C₅² and C₈ acting via C₈/C₂=C₄	40	4-	C5^2:5C8	200,21
D₅×Dic₅	Direct product of D₅ and Dic₅	40	4-	D5xDic5	200,22
C₅²⋊₂D₄	1^st semidirect product of C₅² and D₄ acting via D₄/C₂=C₂²	40	4-	C5^2:2D4	200,24
C₅²⋊₂Q₈	The semidirect product of C₅² and Q₈ acting via Q₈/C₂=C₂²	40	4-	C5^2:2Q8	200,26
C₅×Dic₁₀	Direct product of C₅ and Dic₁₀	40	2	C5xDic10	200,27
D₅×C₂₀	Direct product of C₂₀ and D₅	40	2	D5xC20	200,28
C₅×D₂₀	Direct product of C₅ and D₂₀	40	2	C5xD20	200,29
C₁₀×Dic₅	Direct product of C₁₀ and Dic₅	40		C10xDic5	200,30
C₁₀×F₅	Direct product of C₁₀ and F₅	40	4	C10xF5	200,45
C₂×D₅.D₅	Direct product of C₂ and D₅.D₅	40	4	C2xD5.D5	200,46
D₅×C₂×C₁₀	Direct product of C₂×C₁₀ and D₅	40		D5xC2xC10	200,50

Groups of order 240

		d	ρ	Label	ID
C₂.S₅	2^nd central stem extension by C₂ of S₅	40	4-	C2.S5	240,90
C₅×GL₂(𝔽₃)	Direct product of C₅ and GL₂(𝔽₃)	40	2	C5xGL(2,3)	240,103
Q₈⋊D₁₅	The semidirect product of Q₈ and D₁₅ acting via D₁₅/C₅=S₃	40	4+	Q8:D15	240,106
D₅×SL₂(𝔽₃)	Direct product of D₅ and SL₂(𝔽₃)	40	4-	D5xSL(2,3)	240,109

Groups of order 280

		d	ρ	Label	ID
C₅×F₈	Direct product of C₅ and F₈	40	7	C5xF8	280,33

Groups of order 320

		d	ρ	Label	ID
C₅⋊₃C₂≀C₄	The semidirect product of C₅ and C₂≀C₄ acting via C₂≀C₄/C₂³⋊C₄=C₂	40	8+	C5:3C2wrC4	320,29
C₂³.₂D₂₀	2^nd non-split extension by C₂³ of D₂₀ acting via D₂₀/C₅=D₄	40	8+	C2^3.2D20	320,32
C₂³.₃D₂₀	3^rd non-split extension by C₂³ of D₂₀ acting via D₂₀/C₅=D₄	40	8+	C2^3.3D20	320,33
C₂⁴⋊₂Dic₅	1^st semidirect product of C₂⁴ and Dic₅ acting via Dic₅/C₅=C₄	40	4	C2^4:2Dic5	320,94
C₄²⋊₃Dic₅	3^rd semidirect product of C₄² and Dic₅ acting via Dic₅/C₅=C₄	40	4	C4^2:3Dic5	320,103
C₅×C₂≀C₄	Direct product of C₅ and C₂≀C₄	40	4	C5xC2wrC4	320,156
C₅×C₄²⋊C₄	Direct product of C₅ and C₄²⋊C₄	40	4	C5xC4^2:C4	320,158
C₄²⋊F₅	1^st semidirect product of C₄² and F₅ acting via F₅/C₅=C₄	40	4+	C4^2:F5	320,191
C₄²⋊₆F₅	3^rd semidirect product of C₄² and F₅ acting via F₅/D₅=C₂	40	4	C4^2:6F5	320,200
C₅⋊C₂≀C₄	The semidirect product of C₅ and C₂≀C₄ acting via C₂≀C₄/C₂²⋊C₄=C₄	40	8+	C5:C2wrC4	320,202
(C₂²×F₅)⋊C₄	The semidirect product of C₂²×F₅ and C₄ acting faithfully	40	8+	(C2^2xF5):C4	320,204
M₄(2)⋊F₅	2^nd semidirect product of M₄(2) and F₅ acting via F₅/D₅=C₂	40	8	M4(2):F5	320,237
M₄(2)⋊₃F₅	3^rd semidirect product of M₄(2) and F₅ acting via F₅/D₅=C₂	40	8	M4(2):3F5	320,238
(C₂×D₄)⋊F₅	2^nd semidirect product of C₂×D₄ and F₅ acting via F₅/C₅=C₄	40	8+	(C2xD4):F5	320,260
C₂⁴⋊₂F₅	1^st semidirect product of C₂⁴ and F₅ acting via F₅/C₅=C₄	40	4	C2^4:2F5	320,272
C₂³⋊D₂₀	The semidirect product of C₂³ and D₂₀ acting via D₂₀/C₅=D₄	40	8+	C2^3:D20	320,368
D₅×C₂³⋊C₄	Direct product of D₅ and C₂³⋊C₄	40	8+	D5xC2^3:C4	320,370
D₅×C₄.D₄	Direct product of D₅ and C₄.D₄	40	8+	D5xC4.D4	320,371
D₂₀⋊₁D₄	1^st semidirect product of D₂₀ and D₄ acting via D₄/C₂=C₂²	40	8+	D20:1D4	320,374
D₅×C₄≀C₂	Direct product of D₅ and C₄≀C₂	40	4	D5xC4wrC2	320,447
D₄⋊₄D₂₀	3^rd semidirect product of D₄ and D₂₀ acting via D₂₀/D₁₀=C₂	40	4+	D4:4D20	320,449
C₂⁴⋊₂D₁₀	1^st semidirect product of C₂⁴ and D₁₀ acting via D₁₀/C₅=C₂²	40	4	C2^4:2D10	320,659
D₂₀⋊₅D₄	5^th semidirect product of D₂₀ and D₄ acting via D₄/C₂=C₂²	40	4	D20:5D4	320,704
D₂₀⋊₁₈D₄	6^th semidirect product of D₂₀ and D₄ acting via D₄/C₂²=C₂	40	8+	D20:18D4	320,825
2₊¹⁺⁴⋊D₅	1^st semidirect product of 2₊¹⁺⁴ and D₅ acting via D₅/C₅=C₂	40	8+	ES+(2,2):D5	320,868
2₊¹⁺⁴⋊₂D₅	2^nd semidirect product of 2₊¹⁺⁴ and D₅ acting via D₅/C₅=C₂	40	8+	ES+(2,2):2D5	320,871
C₅×D₄⋊₄D₄	Direct product of C₅ and D₄⋊₄D₄	40	4	C5xD4:4D4	320,954
C₅×C₂≀C₂²	Direct product of C₅ and C₂≀C₂²	40	4	C5xC2wrC2^2	320,958
C₂²⋊C₄×F₅	Direct product of C₂²⋊C₄ and F₅	40		C2^2:C4xF5	320,1036
D₁₀⋊(C₄⋊C₄)	The semidirect product of D₁₀ and C₄⋊C₄ acting via C₄⋊C₄/C₂²=C₂²	40		D10:(C4:C4)	320,1037
M₄(2)×F₅	Direct product of M₄(2) and F₅	40	8	M4(2)xF5	320,1064
M₄(2)⋊₁F₅	1^st semidirect product of M₄(2) and F₅ acting via F₅/D₅=C₂	40	8	M4(2):1F5	320,1065
D₈×F₅	Direct product of D₈ and F₅	40	8+	D8xF5	320,1068
D₄₀⋊C₄	2^nd semidirect product of D₄₀ and C₄ acting faithfully	40	8+	D40:C4	320,1069
SD₁₆×F₅	Direct product of SD₁₆ and F₅	40	8	SD16xF5	320,1072
SD₁₆⋊F₅	1^st semidirect product of SD₁₆ and F₅ acting via F₅/D₅=C₂	40	8	SD16:F5	320,1073
(D₄×C₁₀)⋊C₄	6^th semidirect product of D₄×C₁₀ and C₄ acting faithfully	40	8+	(D4xC10):C4	320,1105
(C₂×D₄)⋊₇F₅	5^th semidirect product of C₂×D₄ and F₅ acting via F₅/D₅=C₂	40	8+	(C2xD4):7F5	320,1108
D₅⋊(C₄.D₄)	The semidirect product of D₅ and C₄.D₄ acting via C₄.D₄/C₂×D₄=C₂	40	8+	D5:(C4.D4)	320,1116
(C₂×F₅)⋊D₄	The semidirect product of C₂×F₅ and D₄ acting via D₄/C₂²=C₂	40		(C2xF5):D4	320,1117
D₅⋊C₄≀C₂	The semidirect product of D₅ and C₄≀C₂ acting via C₄≀C₂/C₄○D₄=C₂	40	8	D5:C4wrC2	320,1130
C₄○D₄⋊F₅	2^nd semidirect product of C₄○D₄ and F₅ acting via F₅/D₅=C₂	40	8	C4oD4:F5	320,1131
C₂⁴⋊₄F₅	1^st semidirect product of C₂⁴ and F₅ acting via F₅/D₅=C₂	40		C2^4:4F5	320,1138
D₅×C₂²≀C₂	Direct product of D₅ and C₂²≀C₂	40		D5xC2^2wrC2	320,1260
D₅×C₈⋊C₂²	Direct product of D₅ and C₈⋊C₂²	40	8+	D5xC8:C2^2	320,1444
C₂×D₄×F₅	Direct product of C₂, D₄ and F₅	40		C2xD4xF5	320,1595
D₁₀.C₂⁴	15^th non-split extension by D₁₀ of C₂⁴ acting via C₂⁴/C₂³=C₂	40	8+	D10.C2^4	320,1596
C₄○D₄×F₅	Direct product of C₄○D₄ and F₅	40	8	C4oD4xF5	320,1603
D₅.2₊¹⁺⁴	The non-split extension by D₅ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	40	8	D5.ES+(2,2)	320,1604
D₅×2₊¹⁺⁴	Direct product of D₅ and 2₊¹⁺⁴	40	8+	D5xES+(2,2)	320,1622

Groups of order 400

		d	ρ	Label	ID
C₂₀.₂₉D₁₀	3^rd non-split extension by C₂₀ of D₁₀ acting via D₁₀/D₅=C₂	40	4	C20.29D10	400,61
C₂₀.₃₁D₁₀	5^th non-split extension by C₂₀ of D₁₀ acting via D₁₀/D₅=C₂	40	4	C20.31D10	400,63
C₅⋊D₄₀	The semidirect product of C₅ and D₄₀ acting via D₄₀/D₂₀=C₂	40	4+	C5:D40	400,65
C₅²⋊₄SD₁₆	3^rd semidirect product of C₅² and SD₁₆ acting via SD₁₆/C₄=C₂²	40	4+	C5^2:4SD16	400,68
C₁₀.D₂₀	6^th non-split extension by C₁₀ of D₂₀ acting via D₂₀/D₁₀=C₂	40		C10.D20	400,73
C₅×C₄.Dic₅	Direct product of C₅ and C₄.Dic₅	40	2	C5xC4.Dic5	400,82
C₅×D₄⋊D₅	Direct product of C₅ and D₄⋊D₅	40	4	C5xD4:D5	400,87
C₅×D₄.D₅	Direct product of C₅ and D₄.D₅	40	4	C5xD4.D5	400,88
C₅×C₂³.D₅	Direct product of C₅ and C₂³.D₅	40		C5xC2^3.D5	400,91
D₅.D₂₀	The non-split extension by D₅ of D₂₀ acting via D₂₀/D₁₀=C₂	40	8+	D5.D20	400,118
Dic₅.₄F₅	The non-split extension by Dic₅ of F₅ acting through Inn(Dic₅)	40	8+	Dic5.4F5	400,121
Dic₅.F₅	1^st non-split extension by Dic₅ of F₅ acting via F₅/D₅=C₂	40	8+	Dic5.F5	400,123
C₅²⋊D₈	The semidirect product of C₅² and D₈ acting via D₈/C₂=D₄	40	4	C5^2:D8	400,131
C₅²⋊SD₁₆	The semidirect product of C₅² and SD₁₆ acting via SD₁₆/C₂=D₄	40	4-	C5^2:SD16	400,132
C₅×C₂².F₅	Direct product of C₅ and C₂².F₅	40	4	C5xC2^2.F5	400,140
C₅×C₂²⋊F₅	Direct product of C₅ and C₂²⋊F₅	40	4	C5xC2^2:F5	400,141
C₁₀².C₄	4^th non-split extension by C₁₀² of C₄ acting faithfully	40	4	C10^2.C4	400,147
D₁₀.D₁₀	5^th non-split extension by D₁₀ of D₁₀ acting via D₁₀/C₁₀=C₂	40	4	D10.D10	400,148
C₂₀.₁₁F₅	11^st non-split extension by C₂₀ of F₅ acting via F₅/C₅=C₄	40	4	C20.11F5	400,156
C₅²⋊₈M₄(2)	4^th semidirect product of C₅² and M₄(2) acting via M₄(2)/C₄=C₄	40	4	C5^2:8M4(2)	400,157
C₄×C₅²⋊C₄	Direct product of C₄ and C₅²⋊C₄	40	4	C4xC5^2:C4	400,158
C₂₀⋊₂F₅	2^nd semidirect product of C₂₀ and F₅ acting via F₅/C₅=C₄	40	4	C20:2F5	400,159
C₅²⋊₁₄M₄(2)	4^th semidirect product of C₅² and M₄(2) acting via M₄(2)/C₂²=C₄	40	4-	C5^2:14M4(2)	400,161
D₂₀⋊D₅	3^rd semidirect product of D₂₀ and D₅ acting via D₅/C₅=C₂	40	4	D20:D5	400,165
Dic₁₀⋊D₅	4^th semidirect product of Dic₁₀ and D₅ acting via D₅/C₅=C₂	40	4	Dic10:D5	400,166
D₁₀.₉D₁₀	1^st non-split extension by D₁₀ of D₁₀ acting via D₁₀/C₁₀=C₂	40	4	D10.9D10	400,167
Dic₁₀⋊₅D₅	The semidirect product of Dic₁₀ and D₅ acting through Inn(Dic₁₀)	40	4+	Dic10:5D5	400,168
C₄×D₅²	Direct product of C₄, D₅ and D₅	40	4	C4xD5^2	400,169
D₅×D₂₀	Direct product of D₅ and D₂₀	40	4+	D5xD20	400,170
C₂₀⋊D₁₀	2^nd semidirect product of C₂₀ and D₁₀ acting via D₁₀/C₅=C₂²	40	4	C20:D10	400,171
Dic₅.D₁₀	3^rd non-split extension by Dic₅ of D₁₀ acting via D₁₀/D₅=C₂	40	4	Dic5.D10	400,173
D₁₀.₄D₁₀	4^th non-split extension by D₁₀ of D₁₀ acting via D₁₀/D₅=C₂	40	4-	D10.4D10	400,174
C₂×Dic₅⋊₂D₅	Direct product of C₂ and Dic₅⋊₂D₅	40		C2xDic5:2D5	400,175
C₂×C₅⋊D₂₀	Direct product of C₂ and C₅⋊D₂₀	40		C2xC5:D20	400,177
D₅×C₅⋊D₄	Direct product of D₅ and C₅⋊D₄	40	4	D5xC5:D4	400,179
C₅×C₄○D₂₀	Direct product of C₅ and C₄○D₂₀	40	2	C5xC4oD20	400,184
C₅×D₄×D₅	Direct product of C₅, D₄ and D₅	40	4	C5xD4xD5	400,185
C₅×D₄⋊₂D₅	Direct product of C₅ and D₄⋊₂D₅	40	4	C5xD4:2D5	400,186
C₁₀×C₅⋊D₄	Direct product of C₁₀ and C₅⋊D₄	40		C10xC5:D4	400,190
C₂×D₅×F₅	Direct product of C₂, D₅ and F₅	40	8+	C2xD5xF5	400,209
C₂²×C₅²⋊C₄	Direct product of C₂² and C₅²⋊C₄	40		C2^2xC5^2:C4	400,217
C₂²×D₅²	Direct product of C₂², D₅ and D₅	40		C2^2xD5^2	400,218

Groups of order 480

		d	ρ	Label	ID
A₅⋊C₈	The semidirect product of A₅ and C₈ acting via C₈/C₄=C₂	40	4	A5:C8	480,217
C₈×A₅	Direct product of C₈ and A₅	40	3	C8xA5	480,220
(C₂²×D₅)⋊A₄	The semidirect product of C₂²×D₅ and A₄ acting faithfully	40	6	(C2^2xD5):A4	480,268
C₅×C₂⁴⋊C₆	Direct product of C₅ and C₂⁴⋊C₆	40	6	C5xC2^4:C6	480,656
C₄.₃S₅	3^rd non-split extension by C₄ of S₅ acting via S₅/A₅=C₂	40	4	C4.3S5	480,948
C₂×C₄×A₅	Direct product of C₂×C₄ and A₅	40		C2xC4xA5	480,954
Q₈×A₅	Direct product of Q₈ and A₅	40	6-	Q8xA5	480,958
D₁₀.S₄	3^rd non-split extension by D₁₀ of S₄ acting via S₄/A₄=C₂	40	8-	D10.S4	480,962
F₅×SL₂(𝔽₃)	Direct product of F₅ and SL₂(𝔽₃)	40	8-	F5xSL(2,3)	480,965
D₅×GL₂(𝔽₃)	Direct product of D₅ and GL₂(𝔽₃)	40	4	D5xGL(2,3)	480,974
C₅×C₂³⋊A₄	Direct product of C₅ and C₂³⋊A₄	40	4	C5xC2^3:A4	480,1134
C₂³×A₅	Direct product of C₂³ and A₅	40		C2^3xA5	480,1187
C₅×C₂²⋊S₄	Direct product of C₅ and C₂²⋊S₄	40	6	C5xC2^2:S4	480,1200
C₂⁴⋊₄D₁₅	3^rd semidirect product of C₂⁴ and D₁₅ acting via D₁₅/C₅=S₃	40	6	C2^4:4D15	480,1201

On 41 points

Groups of order 41

		d	ρ	Label	ID
C₄₁	Cyclic group	41	1	C41	41,1

Groups of order 82

		d	ρ	Label	ID
D₄₁	Dihedral group	41	2+	D41	82,1

Groups of order 164

		d	ρ	Label	ID
C₄₁⋊C₄	The semidirect product of C₄₁ and C₄ acting faithfully	41	4+	C41:C4	164,3

Groups of order 205

		d	ρ	Label	ID
C₄₁⋊C₅	The semidirect product of C₄₁ and C₅ acting faithfully	41	5	C41:C5	205,1

Groups of order 328

		d	ρ	Label	ID
C₄₁⋊C₈	The semidirect product of C₄₁ and C₈ acting faithfully	41	8+	C41:C8	328,12

Groups of order 410

		d	ρ	Label	ID
C₄₁⋊C₁₀	The semidirect product of C₄₁ and C₁₀ acting faithfully	41	10+	C41:C10	410,1

On 42 points

Groups of order 42

		d	ρ	Label	ID
C₄₂	Cyclic group	42	1	C42	42,6

Groups of order 84

		d	ρ	Label	ID
C₆×D₇	Direct product of C₆ and D₇	42	2	C6xD7	84,12
S₃×C₁₄	Direct product of C₁₄ and S₃	42	2	S3xC14	84,13
D₄₂	Dihedral group; = C₂×D₂₁	42	2+	D42	84,14

Groups of order 126

		d	ρ	Label	ID
C₆×C₇⋊C₃	Direct product of C₆ and C₇⋊C₃	42	3	C6xC7:C3	126,10
S₃×C₂₁	Direct product of C₂₁ and S₃	42	2	S3xC21	126,12
C₃×D₂₁	Direct product of C₃ and D₂₁	42	2	C3xD21	126,13

Groups of order 168

		d	ρ	Label	ID
C₂×S₃×D₇	Direct product of C₂, S₃ and D₇	42	4+	C2xS3xD7	168,50
A₄×C₁₄	Direct product of C₁₄ and A₄	42	3	A4xC14	168,52
C₂×C₇⋊A₄	Direct product of C₂ and C₇⋊A₄	42	3	C2xC7:A4	168,53

Groups of order 252

		d	ρ	Label	ID
C₆×F₇	Direct product of C₆ and F₇	42	6	C6xF7	252,28
C₂×S₃×C₇⋊C₃	Direct product of C₂, S₃ and C₇⋊C₃	42	6	C2xS3xC7:C3	252,29
C₂×C₃⋊F₇	Direct product of C₂ and C₃⋊F₇	42	6+	C2xC3:F7	252,30
C₇×C₃²⋊C₄	Direct product of C₇ and C₃²⋊C₄	42	4	C7xC3^2:C4	252,31
C₃²⋊Dic₇	The semidirect product of C₃² and Dic₇ acting via Dic₇/C₇=C₄	42	4	C3^2:Dic7	252,32
C₃×S₃×D₇	Direct product of C₃, S₃ and D₇	42	4	C3xS3xD7	252,33
S₃²×C₇	Direct product of C₇, S₃ and S₃	42	4	S3^2xC7	252,35
S₃×D₂₁	Direct product of S₃ and D₂₁	42	4+	S3xD21	252,36
D₂₁⋊S₃	The semidirect product of D₂₁ and S₃ acting via S₃/C₃=C₂	42	4	D21:S3	252,37

Groups of order 294

		d	ρ	Label	ID
C₇×F₇	Direct product of C₇ and F₇	42	6	C7xF7	294,8
D₇×C₇⋊C₃	Direct product of D₇ and C₇⋊C₃	42	6	D7xC7:C3	294,9
C₇⋊₃F₇	1^st semidirect product of C₇ and F₇ acting via F₇/D₇=C₃	42	6	C7:3F7	294,11
C₁₄×C₇⋊C₃	Direct product of C₁₄ and C₇⋊C₃	42	3	C14xC7:C3	294,15
C₂×C₇²⋊₃C₃	Direct product of C₂ and C₇²⋊₃C₃	42	3	C2xC7^2:3C3	294,17
D₇×C₂₁	Direct product of C₂₁ and D₇	42	2	D7xC21	294,18
C₇×D₂₁	Direct product of C₇ and D₂₁	42	2	C7xD21	294,21

Groups of order 336

		d	ρ	Label	ID
C₆×F₈	Direct product of C₆ and F₈	42	7	C6xF8	336,213
C₁₄×S₄	Direct product of C₁₄ and S₄	42	3	C14xS4	336,214
C₂×C₇⋊S₄	Direct product of C₂ and C₇⋊S₄	42	6+	C2xC7:S4	336,215
C₂×A₄×D₇	Direct product of C₂, A₄ and D₇	42	6+	C2xA4xD7	336,217
C₂×D₇⋊A₄	Direct product of C₂ and D₇⋊A₄	42	6+	C2xD7:A4	336,218

Groups of order 378

		d	ρ	Label	ID
C₃×S₃×C₇⋊C₃	Direct product of C₃, S₃ and C₇⋊C₃	42	6	C3xS3xC7:C3	378,48
C₃×C₃⋊F₇	Direct product of C₃ and C₃⋊F₇	42	6	C3xC3:F7	378,49

On 43 points

Groups of order 43

		d	ρ	Label	ID
C₄₃	Cyclic group	43	1	C43	43,1

Groups of order 86

		d	ρ	Label	ID
D₄₃	Dihedral group	43	2+	D43	86,1

Groups of order 129

		d	ρ	Label	ID
C₄₃⋊C₃	The semidirect product of C₄₃ and C₃ acting faithfully	43	3	C43:C3	129,1

Groups of order 258

		d	ρ	Label	ID
C₄₃⋊C₆	The semidirect product of C₄₃ and C₆ acting faithfully	43	6+	C43:C6	258,1

Groups of order 301

		d	ρ	Label	ID
C₄₃⋊C₇	The semidirect product of C₄₃ and C₇ acting faithfully	43	7	C43:C7	301,1

On 44 points

Groups of order 44

		d	ρ	Label	ID
Dic₁₁	Dicyclic group; = C₁₁ ⋊C₄	44	2-	Dic11	44,1
C₄₄	Cyclic group	44	1	C44	44,2
C₂×C₂₂	Abelian group of type [2,22]	44		C2xC22	44,4

Groups of order 88

		d	ρ	Label	ID
C₄×D₁₁	Direct product of C₄ and D₁₁	44	2	C4xD11	88,4
D₄₄	Dihedral group	44	2+	D44	88,5
C₁₁⋊D₄	The semidirect product of C₁₁ and D₄ acting via D₄/C₂²=C₂	44	2	C11:D4	88,7
D₄×C₁₁	Direct product of C₁₁ and D₄	44	2	D4xC11	88,9
C₂²×D₁₁	Direct product of C₂² and D₁₁	44		C2^2xD11	88,11

Groups of order 132

		d	ρ	Label	ID
C₁₁×A₄	Direct product of C₁₁ and A₄	44	3	C11xA4	132,6

Groups of order 176

		d	ρ	Label	ID
D₄×D₁₁	Direct product of D₄ and D₁₁	44	4+	D4xD11	176,31

Groups of order 220

		d	ρ	Label	ID
C₁₁⋊C₂₀	The semidirect product of C₁₁ and C₂₀ acting via C₂₀/C₂=C₁₀	44	10-	C11:C20	220,1
C₄×C₁₁⋊C₅	Direct product of C₄ and C₁₁⋊C₅	44	5	C4xC11:C5	220,2
C₂²×C₁₁⋊C₅	Direct product of C₂² and C₁₁⋊C₅	44		C2^2xC11:C5	220,8

Groups of order 264

		d	ρ	Label	ID
C₁₁×S₄	Direct product of C₁₁ and S₄	44	3	C11xS4	264,31
C₁₁⋊S₄	The semidirect product of C₁₁ and S₄ acting via S₄/A₄=C₂	44	6+	C11:S4	264,32
A₄×D₁₁	Direct product of A₄ and D₁₁	44	6+	A4xD11	264,33

Groups of order 440

		d	ρ	Label	ID
C₄×F₁₁	Direct product of C₄ and F₁₁	44	10	C4xF11	440,8
D₄₄⋊C₅	The semidirect product of D₄₄ and C₅ acting faithfully	44	10+	D44:C5	440,9
C₂²⋊F₁₁	The semidirect product of C₂² and F₁₁ acting via F₁₁/C₁₁⋊C₅=C₂	44	10	C2^2:F11	440,11
D₄×C₁₁⋊C₅	Direct product of D₄ and C₁₁⋊C₅	44	10	D4xC11:C5	440,13
C₂²×F₁₁	Direct product of C₂² and F₁₁	44		C2^2xF11	440,42

Groups of order 484

		d	ρ	Label	ID
C₁₁×Dic₁₁	Direct product of C₁₁ and Dic₁₁	44	2	C11xDic11	484,5
D₁₁×C₂₂	Direct product of C₂₂ and D₁₁	44	2	D11xC22	484,10

On 45 points

Groups of order 45

		d	ρ	Label	ID
C₄₅	Cyclic group	45	1	C45	45,1
C₃×C₁₅	Abelian group of type [3,15]	45		C3xC15	45,2

Groups of order 90

		d	ρ	Label	ID
C₅×D₉	Direct product of C₅ and D₉	45	2	C5xD9	90,1
C₉×D₅	Direct product of C₉ and D₅	45	2	C9xD5	90,2
D₄₅	Dihedral group	45	2+	D45	90,3
C₃²×D₅	Direct product of C₃² and D₅	45		C3^2xD5	90,5
C₅×C₃⋊S₃	Direct product of C₅ and C₃⋊S₃	45		C5xC3:S3	90,8
C₃⋊D₁₅	The semidirect product of C₃ and D₁₅ acting via D₁₅/C₁₅=C₂	45		C3:D15	90,9

Groups of order 135

		d	ρ	Label	ID
C₅×He₃	Direct product of C₅ and He₃	45	3	C5xHe3	135,3
C₅×3_-¹⁺²	Direct product of C₅ and 3_-¹⁺²	45	3	C5xES-(3,1)	135,4

Groups of order 180

		d	ρ	Label	ID
C₉×F₅	Direct product of C₉ and F₅	45	4	C9xF5	180,5
C₉⋊F₅	The semidirect product of C₉ and F₅ acting via F₅/D₅=C₂	45	4	C9:F5	180,6
D₅×D₉	Direct product of D₅ and D₉	45	4+	D5xD9	180,7
C₃²×F₅	Direct product of C₃² and F₅	45		C3^2xF5	180,20
C₃²⋊₃F₅	2^nd semidirect product of C₃² and F₅ acting via F₅/D₅=C₂	45		C3^2:3F5	180,22
D₅×C₃⋊S₃	Direct product of D₅ and C₃⋊S₃	45		D5xC3:S3	180,27

Groups of order 225

		d	ρ	Label	ID
C₅²⋊C₉	The semidirect product of C₅² and C₉ acting via C₉/C₃=C₃	45	3	C5^2:C9	225,3
C₃×C₅²⋊C₃	Direct product of C₃ and C₅²⋊C₃	45	3	C3xC5^2:C3	225,5

Groups of order 270

		d	ρ	Label	ID
D₅×He₃	Direct product of D₅ and He₃	45	6	D5xHe3	270,6
D₅×3_-¹⁺²	Direct product of D₅ and 3_-¹⁺²	45	6	D5xES-(3,1)	270,7
C₅×C₃²⋊C₆	Direct product of C₅ and C₃²⋊C₆	45	6	C5xC3^2:C6	270,10
C₅×C₉⋊C₆	Direct product of C₅ and C₉⋊C₆	45	6	C5xC9:C6	270,11
He₃⋊D₅	1^st semidirect product of He₃ and D₅ acting via D₅/C₅=C₂	45	6+	He3:D5	270,14
D₄₅⋊C₃	The semidirect product of D₄₅ and C₃ acting faithfully	45	6+	D45:C3	270,15
C₅×He₃⋊C₂	Direct product of C₅ and He₃⋊C₂	45	3	C5xHe3:C2	270,17
C₃²⋊D₁₅	2^nd semidirect product of C₃² and D₁₅ acting via D₁₅/C₅=S₃	45	6	C3^2:D15	270,19

Groups of order 360

		d	ρ	Label	ID
D₉×F₅	Direct product of D₉ and F₅	45	8+	D9xF5	360,39
C₅×F₉	Direct product of C₅ and F₉	45	8	C5xF9	360,123
C₅⋊₂F₉	The semidirect product of C₅ and F₉ acting via F₉/C₃²⋊C₄=C₂	45	8	C5:2F9	360,124
C₅⋊F₉	The semidirect product of C₅ and F₉ acting via F₉/C₃⋊S₃=C₄	45	8	C5:F9	360,125
C₃⋊S₃×F₅	Direct product of C₃⋊S₃ and F₅	45		C3:S3xF5	360,127
C₅×PSU₃(𝔽₂)	Direct product of C₅ and PSU₃(𝔽₂)	45	8	C5xPSU(3,2)	360,135
C₃²⋊Dic₁₀	The semidirect product of C₃² and Dic₁₀ acting via Dic₁₀/C₅=Q₈	45	8	C3^2:Dic10	360,136

Groups of order 405

		d	ρ	Label	ID
C₅×C₃≀C₃	Direct product of C₅ and C₃≀C₃	45	3	C5xC3wrC3	405,7

Groups of order 450

		d	ρ	Label	ID
C₅²⋊D₉	The semidirect product of C₅² and D₉ acting via D₉/C₃=S₃	45	6+	C5^2:D9	450,11
C₅²⋊C₁₈	The semidirect product of C₅² and C₁₈ acting via C₁₈/C₃=C₆	45	6	C5^2:C18	450,12
C₃×C₅²⋊S₃	Direct product of C₃ and C₅²⋊S₃	45	3	C3xC5^2:S3	450,20
C₅²⋊(C₃⋊S₃)	The semidirect product of C₅² and C₃⋊S₃ acting via C₃⋊S₃/C₃=S₃	45	6+	C5^2:(C3:S3)	450,21
C₃×C₅²⋊C₆	Direct product of C₃ and C₅²⋊C₆	45	6	C3xC5^2:C6	450,22
S₃×C₅²⋊C₃	Direct product of S₃ and C₅²⋊C₃	45	6	S3xC5^2:C3	450,23
C₅⋊D₁₅⋊C₃	The semidirect product of C₅⋊D₁₅ and C₃ acting faithfully	45	6+	C5:D15:C3	450,24

On 46 points

Groups of order 46

		d	ρ	Label	ID
C₄₆	Cyclic group	46	1	C46	46,2

Groups of order 92

		d	ρ	Label	ID
D₄₆	Dihedral group; = C₂×D₂₃	46	2+	D46	92,3

On 47 points

Groups of order 47

		d	ρ	Label	ID
C₄₇	Cyclic group	47	1	C47	47,1

Groups of order 94

		d	ρ	Label	ID
D₄₇	Dihedral group	47	2+	D47	94,1

On 48 points

Groups of order 48

		d	ρ	Label	ID
C₃⋊C₁₆	The semidirect product of C₃ and C₁₆ acting via C₁₆/C₈=C₂	48	2	C3:C16	48,1
C₄₈	Cyclic group	48	1	C48	48,2
Dic₁₂	Dicyclic group; = C₃ ⋊₁ Q₁₆	48	2-	Dic12	48,8
C₂×C₃⋊C₈	Direct product of C₂ and C₃⋊C₈	48		C2xC3:C8	48,9
C₄×Dic₃	Direct product of C₄ and Dic₃	48		C4xDic3	48,11
Dic₃⋊C₄	The semidirect product of Dic₃ and C₄ acting via C₄/C₂=C₂	48		Dic3:C4	48,12
C₄⋊Dic₃	The semidirect product of C₄ and Dic₃ acting via Dic₃/C₆=C₂	48		C4:Dic3	48,13
C₃⋊Q₁₆	The semidirect product of C₃ and Q₁₆ acting via Q₁₆/Q₈=C₂	48	4-	C3:Q16	48,18
C₄×C₁₂	Abelian group of type [4,12]	48		C4xC12	48,20
C₃×C₄⋊C₄	Direct product of C₃ and C₄⋊C₄	48		C3xC4:C4	48,22
C₂×C₂₄	Abelian group of type [2,24]	48		C2xC24	48,23
C₃×Q₁₆	Direct product of C₃ and Q₁₆	48	2	C3xQ16	48,27
C₂×Dic₆	Direct product of C₂ and Dic₆	48		C2xDic6	48,34
C₂²×Dic₃	Direct product of C₂² and Dic₃	48		C2^2xDic3	48,42
C₂²×C₁₂	Abelian group of type [2,2,12]	48		C2^2xC12	48,44
C₆×Q₈	Direct product of C₆ and Q₈	48		C6xQ8	48,46
C₂³×C₆	Abelian group of type [2,2,2,6]	48		C2^3xC6	48,52

Groups of order 96

		d	ρ	Label	ID
S₃×C₁₆	Direct product of C₁₆ and S₃	48	2	S3xC16	96,4
D₆.C₈	The non-split extension by D₆ of C₈ acting via C₈/C₄=C₂	48	2	D6.C8	96,5
D₄₈	Dihedral group	48	2+	D48	96,6
C₄₈⋊C₂	2^nd semidirect product of C₄₈ and C₂ acting faithfully	48	2	C48:C2	96,7
C₆.D₈	2^nd non-split extension by C₆ of D₈ acting via D₈/D₄=C₂	48		C6.D8	96,16
C₁₂.C₈	1^st non-split extension by C₁₂ of C₈ acting via C₈/C₄=C₂	48	2	C12.C8	96,19
C₂₄.C₄	1^st non-split extension by C₂₄ of C₄ acting via C₄/C₂=C₂	48	2	C24.C4	96,26
D₆⋊C₈	The semidirect product of D₆ and C₈ acting via C₈/C₄=C₂	48		D6:C8	96,27
C₂.D₂₄	2^nd central extension by C₂ of D₂₄	48		C2.D24	96,28
C₁₂.₅₃D₄	10^th non-split extension by C₁₂ of D₄ acting via D₄/C₂²=C₂	48	4	C12.53D4	96,29
C₁₂.₄₇D₄	4^th non-split extension by C₁₂ of D₄ acting via D₄/C₂²=C₂	48	4-	C12.47D4	96,31
C₃⋊D₁₆	The semidirect product of C₃ and D₁₆ acting via D₁₆/D₈=C₂	48	4+	C3:D16	96,33
D₈.S₃	The non-split extension by D₈ of S₃ acting via S₃/C₃=C₂	48	4-	D8.S3	96,34
C₈.₆D₆	3^rd non-split extension by C₈ of D₆ acting via D₆/S₃=C₂	48	4+	C8.6D6	96,35
C₁₂.₅₅D₄	12^nd non-split extension by C₁₂ of D₄ acting via D₄/C₂²=C₂	48		C12.55D4	96,37
D₄⋊Dic₃	1^st semidirect product of D₄ and Dic₃ acting via Dic₃/C₆=C₂	48		D4:Dic3	96,39
C₁₂.₁₀D₄	10^th non-split extension by C₁₂ of D₄ acting via D₄/C₂=C₂²	48	4	C12.10D4	96,43
C₃×C₂²⋊C₈	Direct product of C₃ and C₂²⋊C₈	48		C3xC2^2:C8	96,48
C₃×C₄.₁₀D₄	Direct product of C₃ and C₄.₁₀D₄	48	4	C3xC4.10D4	96,51
C₃×D₄⋊C₄	Direct product of C₃ and D₄⋊C₄	48		C3xD4:C4	96,52
C₃×C₈.C₄	Direct product of C₃ and C₈.C₄	48	2	C3xC8.C4	96,58
C₃×M₅(2)	Direct product of C₃ and M₅(2)	48	2	C3xM5(2)	96,60
C₃×D₁₆	Direct product of C₃ and D₁₆	48	2	C3xD16	96,61
C₃×SD₃₂	Direct product of C₃ and SD₃₂	48	2	C3xSD32	96,62
S₃×C₄²	Direct product of C₄² and S₃	48		S3xC4^2	96,78
C₄²⋊₂S₃	1^st semidirect product of C₄² and S₃ acting via S₃/C₃=C₂	48		C4^2:2S3	96,79
C₄×D₁₂	Direct product of C₄ and D₁₂	48		C4xD12	96,80
C₄⋊D₁₂	The semidirect product of C₄ and D₁₂ acting via D₁₂/C₁₂=C₂	48		C4:D12	96,81
C₄²⋊₇S₃	6^th semidirect product of C₄² and S₃ acting via S₃/C₃=C₂	48		C4^2:7S3	96,82
C₄²⋊₃S₃	2^nd semidirect product of C₄² and S₃ acting via S₃/C₃=C₂	48		C4^2:3S3	96,83
C₂³.₁₆D₆	1^st non-split extension by C₂³ of D₆ acting via D₆/S₃=C₂	48		C2^3.16D6	96,84
Dic₃.D₄	1^st non-split extension by Dic₃ of D₄ acting via D₄/C₂²=C₂	48		Dic3.D4	96,85
C₂³.₈D₆	3^rd non-split extension by C₂³ of D₆ acting via D₆/C₃=C₂²	48		C2^3.8D6	96,86
Dic₃⋊₄D₄	1^st semidirect product of Dic₃ and D₄ acting through Inn(Dic₃)	48		Dic3:4D4	96,88
C₂³.₉D₆	4^th non-split extension by C₂³ of D₆ acting via D₆/C₃=C₂²	48		C2^3.9D6	96,90
Dic₃⋊D₄	1^st semidirect product of Dic₃ and D₄ acting via D₄/C₂²=C₂	48		Dic3:D4	96,91
C₂³.₁₁D₆	6^th non-split extension by C₂³ of D₆ acting via D₆/C₃=C₂²	48		C2^3.11D6	96,92
C₂³.₂₁D₆	6^th non-split extension by C₂³ of D₆ acting via D₆/S₃=C₂	48		C2^3.21D6	96,93
S₃×C₄⋊C₄	Direct product of S₃ and C₄⋊C₄	48		S3xC4:C4	96,98
C₄⋊C₄⋊₇S₃	1^st semidirect product of C₄⋊C₄ and S₃ acting through Inn(C₄⋊C₄)	48		C4:C4:7S3	96,99
Dic₃⋊₅D₄	2^nd semidirect product of Dic₃ and D₄ acting through Inn(Dic₃)	48		Dic3:5D4	96,100
D₆.D₄	2^nd non-split extension by D₆ of D₄ acting via D₄/C₂²=C₂	48		D6.D4	96,101
C₁₂⋊D₄	1^st semidirect product of C₁₂ and D₄ acting via D₄/C₂=C₂²	48		C12:D4	96,102
D₆⋊Q₈	1^st semidirect product of D₆ and Q₈ acting via Q₈/C₄=C₂	48		D6:Q8	96,103
C₄.D₁₂	5^th non-split extension by C₄ of D₁₂ acting via D₁₂/D₆=C₂	48		C4.D12	96,104
C₄⋊C₄⋊S₃	6^th semidirect product of C₄⋊C₄ and S₃ acting via S₃/C₃=C₂	48		C4:C4:S3	96,105
S₃×C₂×C₈	Direct product of C₂×C₈ and S₃	48		S3xC2xC8	96,106
C₂×C₈⋊S₃	Direct product of C₂ and C₈⋊S₃	48		C2xC8:S3	96,107
C₈○D₁₂	Central product of C₈ and D₁₂	48	2	C8oD12	96,108
C₂×C₂₄⋊C₂	Direct product of C₂ and C₂₄⋊C₂	48		C2xC24:C2	96,109
C₂×D₂₄	Direct product of C₂ and D₂₄	48		C2xD24	96,110
C₄○D₂₄	Central product of C₄ and D₂₄	48	2	C4oD24	96,111
D₁₂.C₄	The non-split extension by D₁₂ of C₄ acting via C₄/C₂=C₂	48	4	D12.C4	96,114
C₈.D₆	1^st non-split extension by C₈ of D₆ acting via D₆/C₃=C₂²	48	4-	C8.D6	96,116
D₈⋊₃S₃	The semidirect product of D₈ and S₃ acting through Inn(D₈)	48	4-	D8:3S3	96,119
D₄.D₆	4^th non-split extension by D₄ of D₆ acting via D₆/S₃=C₂	48	4-	D4.D6	96,122
Q₈.₇D₆	2^nd non-split extension by Q₈ of D₆ acting via D₆/S₃=C₂	48	4	Q8.7D6	96,123
S₃×Q₁₆	Direct product of S₃ and Q₁₆	48	4-	S3xQ16	96,124
Q₁₆⋊S₃	2^nd semidirect product of Q₁₆ and S₃ acting via S₃/C₃=C₂	48	4	Q16:S3	96,125
D₂₄⋊C₂	5^th semidirect product of D₂₄ and C₂ acting faithfully	48	4+	D24:C2	96,126
C₂×C₄.Dic₃	Direct product of C₂ and C₄.Dic₃	48		C2xC4.Dic3	96,128
C₁₂.₄₈D₄	5^th non-split extension by C₁₂ of D₄ acting via D₄/C₂²=C₂	48		C12.48D4	96,131
C₂³.₂₆D₆	2^nd non-split extension by C₂³ of D₆ acting via D₆/C₆=C₂	48		C2^3.26D6	96,133
C₂×D₆⋊C₄	Direct product of C₂ and D₆⋊C₄	48		C2xD6:C4	96,134
C₄×C₃⋊D₄	Direct product of C₄ and C₃⋊D₄	48		C4xC3:D4	96,135
C₂³.₂₈D₆	4^th non-split extension by C₂³ of D₆ acting via D₆/C₆=C₂	48		C2^3.28D6	96,136
C₁₂⋊₇D₄	1^st semidirect product of C₁₂ and D₄ acting via D₄/C₂²=C₂	48		C12:7D4	96,137
C₂×D₄⋊S₃	Direct product of C₂ and D₄⋊S₃	48		C2xD4:S3	96,138
C₂×D₄.S₃	Direct product of C₂ and D₄.S₃	48		C2xD4.S3	96,140
D₄×Dic₃	Direct product of D₄ and Dic₃	48		D4xDic3	96,141
C₂³.₂₃D₆	8^th non-split extension by C₂³ of D₆ acting via D₆/S₃=C₂	48		C2^3.23D6	96,142
C₂³.₁₂D₆	7^th non-split extension by C₂³ of D₆ acting via D₆/C₃=C₂²	48		C2^3.12D6	96,143
D₆⋊₃D₄	3^rd semidirect product of D₆ and D₄ acting via D₄/C₄=C₂	48		D6:3D4	96,145
C₂³.₁₄D₆	9^th non-split extension by C₂³ of D₆ acting via D₆/C₃=C₂²	48		C2^3.14D6	96,146
C₁₂⋊₃D₄	3^rd semidirect product of C₁₂ and D₄ acting via D₄/C₂=C₂²	48		C12:3D4	96,147
C₂×Q₈⋊₂S₃	Direct product of C₂ and Q₈⋊₂S₃	48		C2xQ8:2S3	96,148
Q₈.₁₁D₆	1^st non-split extension by Q₈ of D₆ acting via D₆/C₆=C₂	48	4	Q8.11D6	96,149
D₆⋊₃Q₈	3^rd semidirect product of D₆ and Q₈ acting via Q₈/C₄=C₂	48		D6:3Q8	96,153
C₁₂.₂₃D₄	23^rd non-split extension by C₁₂ of D₄ acting via D₄/C₂=C₂²	48		C12.23D4	96,154
D₄.Dic₃	The non-split extension by D₄ of Dic₃ acting through Inn(D₄)	48	4	D4.Dic3	96,155
Q₈.₁₃D₆	3^rd non-split extension by Q₈ of D₆ acting via D₆/C₆=C₂	48	4	Q8.13D6	96,157
Q₈.₁₄D₆	4^th non-split extension by Q₈ of D₆ acting via D₆/C₆=C₂	48	4-	Q8.14D6	96,158
C₂×C₆.D₄	Direct product of C₂ and C₆.D₄	48		C2xC6.D4	96,159
C₆×C₂²⋊C₄	Direct product of C₆ and C₂²⋊C₄	48		C6xC2^2:C4	96,162
C₃×C₄²⋊C₂	Direct product of C₃ and C₄²⋊C₂	48		C3xC4^2:C2	96,164
D₄×C₁₂	Direct product of C₁₂ and D₄	48		D4xC12	96,165
C₃×C₄⋊D₄	Direct product of C₃ and C₄⋊D₄	48		C3xC4:D4	96,168
C₃×C₂²⋊Q₈	Direct product of C₃ and C₂²⋊Q₈	48		C3xC2^2:Q8	96,169
C₃×C₂².D₄	Direct product of C₃ and C₂².D₄	48		C3xC2^2.D4	96,170
C₃×C₄.₄D₄	Direct product of C₃ and C₄.₄D₄	48		C3xC4.4D4	96,171
C₃×C₄²⋊₂C₂	Direct product of C₃ and C₄²⋊₂C₂	48		C3xC4^2:2C2	96,173
C₃×C₄⋊₁D₄	Direct product of C₃ and C₄⋊₁D₄	48		C3xC4:1D4	96,174
C₆×M₄(2)	Direct product of C₆ and M₄(2)	48		C6xM4(2)	96,177
C₃×C₈○D₄	Direct product of C₃ and C₈○D₄	48	2	C3xC8oD4	96,178
C₆×D₈	Direct product of C₆ and D₈	48		C6xD8	96,179
C₆×SD₁₆	Direct product of C₆ and SD₁₆	48		C6xSD16	96,180
C₃×C₄○D₈	Direct product of C₃ and C₄○D₈	48	2	C3xC4oD8	96,182
C₃×C₈.C₂²	Direct product of C₃ and C₈.C₂²	48	4	C3xC8.C2^2	96,184
S₃×C₂²×C₄	Direct product of C₂²×C₄ and S₃	48		S3xC2^2xC4	96,206
C₂²×D₁₂	Direct product of C₂² and D₁₂	48		C2^2xD12	96,207
C₂×C₄○D₁₂	Direct product of C₂ and C₄○D₁₂	48		C2xC4oD12	96,208
C₂×D₄⋊₂S₃	Direct product of C₂ and D₄⋊₂S₃	48		C2xD4:2S3	96,210
C₂×S₃×Q₈	Direct product of C₂, S₃ and Q₈	48		C2xS3xQ8	96,212
C₂×Q₈⋊₃S₃	Direct product of C₂ and Q₈⋊₃S₃	48		C2xQ8:3S3	96,213
Q₈.₁₅D₆	1^st non-split extension by Q₈ of D₆ acting through Inn(Q₈)	48	4	Q8.15D6	96,214
Q₈○D₁₂	Central product of Q₈ and D₁₂	48	4-	Q8oD12	96,217
C₂²×C₃⋊D₄	Direct product of C₂² and C₃⋊D₄	48		C2^2xC3:D4	96,219
D₄×C₂×C₆	Direct product of C₂×C₆ and D₄	48		D4xC2xC6	96,221
C₆×C₄○D₄	Direct product of C₆ and C₄○D₄	48		C6xC4oD4	96,223
C₃×2_-¹⁺⁴	Direct product of C₃ and 2_-¹⁺⁴	48	4	C3xES-(2,2)	96,225
S₃×C₂⁴	Direct product of C₂⁴ and S₃	48		S3xC2^4	96,230

Groups of order 144

		d	ρ	Label	ID
C₃×C₃⋊C₁₆	Direct product of C₃ and C₃⋊C₁₆	48	2	C3xC3:C16	144,28
C₃²⋊₂C₁₆	The semidirect product of C₃² and C₁₆ acting via C₁₆/C₄=C₄	48	4	C3^2:2C16	144,51
S₃×C₃⋊C₈	Direct product of S₃ and C₃⋊C₈	48	4	S3xC3:C8	144,52
D₆.Dic₃	The non-split extension by D₆ of Dic₃ acting via Dic₃/C₆=C₂	48	4	D6.Dic3	144,54
C₃²⋊₂D₈	1^st semidirect product of C₃² and D₈ acting via D₈/C₄=C₂²	48	4	C3^2:2D8	144,56
Dic₆⋊S₃	2^nd semidirect product of Dic₆ and S₃ acting via S₃/C₃=C₂	48	4	Dic6:S3	144,58
D₁₂.S₃	1^st non-split extension by D₁₂ of S₃ acting via S₃/C₃=C₂	48	4-	D12.S3	144,59
C₃²⋊₂Q₁₆	1^st semidirect product of C₃² and Q₁₆ acting via Q₁₆/C₄=C₂²	48	4	C3^2:2Q16	144,61
C₃²⋊₃Q₁₆	2^nd semidirect product of C₃² and Q₁₆ acting via Q₁₆/C₄=C₂²	48	4-	C3^2:3Q16	144,62
Dic₃²	Direct product of Dic₃ and Dic₃	48		Dic3^2	144,63
D₆⋊Dic₃	The semidirect product of D₆ and Dic₃ acting via Dic₃/C₆=C₂	48		D6:Dic3	144,64
Dic₃⋊Dic₃	The semidirect product of Dic₃ and Dic₃ acting via Dic₃/C₆=C₂	48		Dic3:Dic3	144,66
C₆².C₂²	5^th non-split extension by C₆² of C₂² acting faithfully	48		C6^2.C2^2	144,67
S₃×C₂₄	Direct product of C₂₄ and S₃	48	2	S3xC24	144,69
C₃×C₈⋊S₃	Direct product of C₃ and C₈⋊S₃	48	2	C3xC8:S3	144,70
C₃×C₂₄⋊C₂	Direct product of C₃ and C₂₄⋊C₂	48	2	C3xC24:C2	144,71
C₃×D₂₄	Direct product of C₃ and D₂₄	48	2	C3xD24	144,72
C₃×Dic₁₂	Direct product of C₃ and Dic₁₂	48	2	C3xDic12	144,73
C₆×C₃⋊C₈	Direct product of C₆ and C₃⋊C₈	48		C6xC3:C8	144,74
Dic₃×C₁₂	Direct product of C₁₂ and Dic₃	48		Dic3xC12	144,76
C₃×Dic₃⋊C₄	Direct product of C₃ and Dic₃⋊C₄	48		C3xDic3:C4	144,77
C₃×C₄⋊Dic₃	Direct product of C₃ and C₄⋊Dic₃	48		C3xC4:Dic3	144,78
C₃×D₆⋊C₄	Direct product of C₃ and D₆⋊C₄	48		C3xD6:C4	144,79
C₃×Q₈⋊₂S₃	Direct product of C₃ and Q₈⋊₂S₃	48	4	C3xQ8:2S3	144,82
C₃×C₃⋊Q₁₆	Direct product of C₃ and C₃⋊Q₁₆	48	4	C3xC3:Q16	144,83
C₂.F₉	The central extension by C₂ of F₉	48	8-	C2.F9	144,114
C₃²⋊Q₁₆	The semidirect product of C₃² and Q₁₆ acting via Q₁₆/C₂=D₄	48	4-	C3^2:Q16	144,119
C₃×CSU₂(𝔽₃)	Direct product of C₃ and CSU₂(𝔽₃)	48	2	C3xCSU(2,3)	144,121
C₆.₅S₄	5^th non-split extension by C₆ of S₄ acting via S₄/A₄=C₂	48	4-	C6.5S4	144,124
Dic₃.A₄	The non-split extension by Dic₃ of A₄ acting through Inn(Dic₃)	48	4+	Dic3.A4	144,127
C₂×C₃²⋊₂C₈	Direct product of C₂ and C₃²⋊₂C₈	48		C2xC3^2:2C8	144,134
S₃×Dic₆	Direct product of S₃ and Dic₆	48	4-	S3xDic6	144,137
D₁₂⋊₅S₃	The semidirect product of D₁₂ and S₃ acting through Inn(D₁₂)	48	4-	D12:5S3	144,138
C₂×S₃×Dic₃	Direct product of C₂, S₃ and Dic₃	48		C2xS3xDic3	144,146
C₂×D₆⋊S₃	Direct product of C₂ and D₆⋊S₃	48		C2xD6:S3	144,150
C₂×C₃²⋊₂Q₈	Direct product of C₂ and C₃²⋊₂Q₈	48		C2xC3^2:2Q8	144,152
C₆×SL₂(𝔽₃)	Direct product of C₆ and SL₂(𝔽₃)	48		C6xSL(2,3)	144,156
C₃×C₄.A₄	Direct product of C₃ and C₄.A₄	48	2	C3xC4.A4	144,157
C₆×Dic₆	Direct product of C₆ and Dic₆	48		C6xDic6	144,158
S₃×C₂×C₁₂	Direct product of C₂×C₁₂ and S₃	48		S3xC2xC12	144,159
C₆×D₁₂	Direct product of C₆ and D₁₂	48		C6xD12	144,160
C₃×S₃×Q₈	Direct product of C₃, S₃ and Q₈	48	4	C3xS3xQ8	144,164
C₃×Q₈⋊₃S₃	Direct product of C₃ and Q₈⋊₃S₃	48	4	C3xQ8:3S3	144,165
Dic₃×C₂×C₆	Direct product of C₂×C₆ and Dic₃	48		Dic3xC2xC6	144,166
S₃×C₂²×C₆	Direct product of C₂²×C₆ and S₃	48		S3xC2^2xC6	144,195

Groups of order 192

		d	ρ	Label	ID
C₆.C₄≀C₂	1^st non-split extension by C₆ of C₄≀C₂ acting via C₄≀C₂/C₄²=C₂	48		C6.C4wrC2	192,10
C₄⋊Dic₃⋊C₄	2^nd semidirect product of C₄⋊Dic₃ and C₄ acting faithfully	48		C4:Dic3:C4	192,11
C₂₄.₁C₈	1^st non-split extension by C₂₄ of C₈ acting via C₈/C₄=C₂	48	2	C24.1C8	192,22
C₁₂.₁₅C₄²	8^th non-split extension by C₁₂ of C₄² acting via C₄²/C₂×C₄=C₂	48	4	C12.15C4^2	192,25
C₂³.₃₅D₁₂	1^st non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	48		C2^3.35D12	192,26
(C₂²×S₃)⋊C₈	The semidirect product of C₂²×S₃ and C₈ acting via C₈/C₂=C₄	48		(C2^2xS3):C8	192,27
C₂².₂D₂₄	1^st non-split extension by C₂² of D₂₄ acting via D₂₄/D₁₂=C₂	48		C2^2.2D24	192,29
(C₂×D₄).D₆	2^nd non-split extension by C₂×D₄ of D₆ acting via D₆/C₃=C₂²	48	8-	(C2xD4).D6	192,31
C₂³.D₁₂	1^st non-split extension by C₂³ of D₁₂ acting via D₁₂/C₃=D₄	48	8-	C2^3.D12	192,32
C₂³.₄D₁₂	4^th non-split extension by C₂³ of D₁₂ acting via D₁₂/C₃=D₄	48	8-	C2^3.4D12	192,35
(C₂×C₄).D₁₂	3^rd non-split extension by C₂×C₄ of D₁₂ acting via D₁₂/C₃=D₄	48	8+	(C2xC4).D12	192,36
(C₂×C₁₂).D₄	16^th non-split extension by C₂×C₁₂ of D₄ acting faithfully	48	8-	(C2xC12).D4	192,37
C₈.Dic₆	1^st non-split extension by C₈ of Dic₆ acting via Dic₆/C₆=C₂²	48	4	C8.Dic6	192,46
D₂₄⋊₈C₄	8^th semidirect product of D₂₄ and C₄ acting via C₄/C₂=C₂	48	4	D24:8C4	192,47
C₂₄.₆Q₈	6^th non-split extension by C₂₄ of Q₈ acting via Q₈/C₂=C₂²	48	4	C24.6Q8	192,53
D₂₄.C₄	4^th non-split extension by D₂₄ of C₄ acting via C₄/C₂=C₂	48	4+	D24.C4	192,54
C₂₄.₉₇D₄	20^th non-split extension by C₂₄ of D₄ acting via D₄/C₂²=C₂	48	4	C24.97D4	192,70
C₄₈⋊C₄	2^nd semidirect product of C₄₈ and C₄ acting faithfully	48	4	C48:C4	192,71
C₂₄.Q₈	1^st non-split extension by C₂₄ of Q₈ acting via Q₈/C₂=C₂²	48	4	C24.Q8	192,72
C₈.₂₅D₁₂	11^st non-split extension by C₈ of D₁₂ acting via D₁₂/D₆=C₂	48	4	C8.25D12	192,73
M₅(2)⋊S₃	5^th semidirect product of M₅(2) and S₃ acting via S₃/C₃=C₂	48	4+	M5(2):S3	192,75
D₂₄⋊₂C₄	2^nd semidirect product of D₂₄ and C₄ acting via C₄/C₂=C₂	48	4	D24:2C4	192,77
C₁₂.₈C₄²	1^st non-split extension by C₁₂ of C₄² acting via C₄²/C₂×C₄=C₂	48		C12.8C4^2	192,82
C₂⁴.₃Dic₃	1^st non-split extension by C₂⁴ of Dic₃ acting via Dic₃/C₃=C₄	48		C2^4.3Dic3	192,84
C₂⁴.₁₂D₆	1^st non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.12D6	192,85
C₂⁴.₁₃D₆	2^nd non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.13D6	192,86
C₄²⋊₃Dic₃	1^st semidirect product of C₄² and Dic₃ acting via Dic₃/C₃=C₄	48	4	C4^2:3Dic3	192,90
C₁₂.₂C₄²	2^nd non-split extension by C₁₂ of C₄² acting via C₄²/C₂²=C₂²	48		C12.2C4^2	192,91
(C₂×C₁₂).Q₈	8^th non-split extension by C₂×C₁₂ of Q₈ acting via Q₈/C₂=C₂²	48	4	(C2xC12).Q8	192,92
(C₆×D₄)⋊C₄	1^st semidirect product of C₆×D₄ and C₄ acting faithfully	48		(C6xD4):C4	192,96
(C₆×Q₈)⋊C₄	1^st semidirect product of C₆×Q₈ and C₄ acting faithfully	48		(C6xQ8):C4	192,97
(C₂²×C₁₂)⋊C₄	2^nd semidirect product of C₂²×C₁₂ and C₄ acting faithfully	48	4	(C2^2xC12):C4	192,98
C₄²⋊₄Dic₃	2^nd semidirect product of C₄² and Dic₃ acting via Dic₃/C₃=C₄	48	4	C4^2:4Dic3	192,100
C₄².Dic₃	2^nd non-split extension by C₄² of Dic₃ acting via Dic₃/C₃=C₄	48	4	C4^2.Dic3	192,101
C₄².₃Dic₃	3^rd non-split extension by C₄² of Dic₃ acting via Dic₃/C₃=C₄	48	4	C4^2.3Dic3	192,107
C₂₄.D₄	52^nd non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	48	4	C24.D4	192,112
C₁₂.₃C₄²	3^rd non-split extension by C₁₂ of C₄² acting via C₄²/C₂²=C₂²	48		C12.3C4^2	192,114
(C₂×C₂₄)⋊C₄	1^st semidirect product of C₂×C₂₄ and C₄ acting faithfully	48	4	(C2xC24):C4	192,115
C₁₂.₂₀C₄²	13^rd non-split extension by C₁₂ of C₄² acting via C₄²/C₂×C₄=C₂	48	4	C12.20C4^2	192,116
M₄(2)⋊₄Dic₃	4^th semidirect product of M₄(2) and Dic₃ acting via Dic₃/C₆=C₂	48	4	M4(2):4Dic3	192,118
C₁₂.₂₁C₄²	14^th non-split extension by C₁₂ of C₄² acting via C₄²/C₂×C₄=C₂	48	4	C12.21C4^2	192,119
D₈.Dic₃	2^nd non-split extension by D₈ of Dic₃ acting via Dic₃/C₆=C₂	48	4	D8.Dic3	192,122
D₈⋊₂Dic₃	2^nd semidirect product of D₈ and Dic₃ acting via Dic₃/C₆=C₂	48	4	D8:2Dic3	192,125
C₃×C₂³⋊C₈	Direct product of C₃ and C₂³⋊C₈	48		C3xC2^3:C8	192,129
C₃×C₂².SD₁₆	Direct product of C₃ and C₂².SD₁₆	48		C3xC2^2.SD16	192,133
C₃×C₂³.₃₁D₄	Direct product of C₃ and C₂³.₃₁D₄	48		C3xC2^3.31D4	192,134
C₃×C₄.₉C₄²	Direct product of C₃ and C₄.₉C₄²	48	4	C3xC4.9C4^2	192,143
C₃×C₄.₁₀C₄²	Direct product of C₃ and C₄.₁₀C₄²	48	4	C3xC4.10C4^2	192,144
C₃×C₄²⋊₆C₄	Direct product of C₃ and C₄²⋊₆C₄	48		C3xC4^2:6C4	192,145
C₃×C₂³.₉D₄	Direct product of C₃ and C₂³.₉D₄	48		C3xC2^3.9D4	192,148
C₃×M₄(2)⋊₄C₄	Direct product of C₃ and M₄(2)⋊₄C₄	48	4	C3xM4(2):4C4	192,150
C₃×C₁₆⋊C₄	Direct product of C₃ and C₁₆⋊C₄	48	4	C3xC16:C4	192,153
C₃×C₂³.C₈	Direct product of C₃ and C₂³.C₈	48	4	C3xC2^3.C8	192,155
C₃×C₂³.D₄	Direct product of C₃ and C₂³.D₄	48	4	C3xC2^3.D4	192,158
C₃×C₄²⋊₃C₄	Direct product of C₃ and C₄²⋊₃C₄	48	4	C3xC4^2:3C4	192,160
C₃×C₄².C₄	Direct product of C₃ and C₄².C₄	48	4	C3xC4^2.C4	192,161
C₃×C₄².₃C₄	Direct product of C₃ and C₄².₃C₄	48	4	C3xC4^2.3C4	192,162
C₃×D₈⋊₂C₄	Direct product of C₃ and D₈⋊₂C₄	48	4	C3xD8:2C4	192,166
C₃×M₅(2)⋊C₂	Direct product of C₃ and M₅(2)⋊C₂	48	4	C3xM5(2):C2	192,167
C₃×C₈.C₈	Direct product of C₃ and C₈.C₈	48	2	C3xC8.C8	192,170
C₃×C₈.Q₈	Direct product of C₃ and C₈.Q₈	48	4	C3xC8.Q8	192,171
A₄⋊C₁₆	The semidirect product of A₄ and C₁₆ acting via C₁₆/C₈=C₂	48	3	A4:C16	192,186
A₄×C₁₆	Direct product of C₁₆ and A₄	48	3	A4xC16	192,203
D₂₄⋊₁₁C₄	The semidirect product of D₂₄ and C₄ acting through Inn(D₂₄)	48	2	D24:11C4	192,259
D₂₄⋊₄C₄	4^th semidirect product of D₂₄ and C₄ acting via C₄/C₂=C₂	48	4	D24:4C4	192,276
S₃×C₂²⋊C₈	Direct product of S₃ and C₂²⋊C₈	48		S3xC2^2:C8	192,283
D₆⋊M₄(2)	1^st semidirect product of D₆ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	48		D6:M4(2)	192,285
D₁₂.₃₁D₄	1^st non-split extension by D₁₂ of D₄ acting via D₄/C₂²=C₂	48		D12.31D4	192,290
D₁₂⋊₁₃D₄	1^st semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	48		D12:13D4	192,291
C₂³⋊C₄⋊₅S₃	The semidirect product of C₂³⋊C₄ and S₃ acting through Inn(C₂³⋊C₄)	48	8-	C2^3:C4:5S3	192,299
C₂³.₅D₁₂	5^th non-split extension by C₂³ of D₁₂ acting via D₁₂/C₃=D₄	48	8-	C2^3.5D12	192,301
M₄(2).₁₉D₆	2^nd non-split extension by M₄(2) of D₆ acting via D₆/S₃=C₂	48	8-	M4(2).19D6	192,304
M₄(2)⋊D₆	1^st semidirect product of M₄(2) and D₆ acting via D₆/C₃=C₂²	48	8-	M4(2):D6	192,305
D₁₂.₂D₄	2^nd non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	48	8-	D12.2D4	192,307
D₁₂.₃D₄	3^rd non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	48	8+	D12.3D4	192,308
S₃×C₄.₁₀D₄	Direct product of S₃ and C₄.₁₀D₄	48	8-	S3xC4.10D4	192,309
M₄(2).₂₁D₆	4^th non-split extension by M₄(2) of D₆ acting via D₆/S₃=C₂	48	8+	M4(2).21D6	192,310
D₁₂.₄D₄	4^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	48	8-	D12.4D4	192,311
D₁₂.₅D₄	5^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	48	8+	D12.5D4	192,312
D₁₂.₆D₄	6^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	48	8+	D12.6D4	192,313
S₃×D₄⋊C₄	Direct product of S₃ and D₄⋊C₄	48		S3xD4:C4	192,328
C₄⋊C₄⋊₁₉D₆	2^nd semidirect product of C₄⋊C₄ and D₆ acting via D₆/S₃=C₂	48		C4:C4:19D6	192,329
D₄⋊D₁₂	1^st semidirect product of D₄ and D₁₂ acting via D₁₂/D₆=C₂	48		D4:D12	192,332
D₆⋊₅SD₁₆	1^st semidirect product of D₆ and SD₁₆ acting via SD₁₆/D₄=C₂	48		D6:5SD16	192,335
C₄²⋊₃D₆	1^st semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48	4	C4^2:3D6	192,380
M₄(2).₂₂D₆	5^th non-split extension by M₄(2) of D₆ acting via D₆/S₃=C₂	48	4	M4(2).22D6	192,382
C₄².₁₉₆D₆	16^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	48	4	C4^2.196D6	192,383
C₄²⋊₅D₆	3^rd semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48	4	C4^2:5D6	192,384
Q₈.₁₄D₁₂	4^th non-split extension by Q₈ of D₁₂ acting via D₁₂/D₆=C₂	48	4-	Q8.14D12	192,385
D₄.₁₀D₁₂	5^th non-split extension by D₄ of D₁₂ acting via D₁₂/D₆=C₂	48	4	D4.10D12	192,386
S₃×C₈.C₄	Direct product of S₃ and C₈.C₄	48	4	S3xC8.C4	192,451
M₄(2).₂₅D₆	8^th non-split extension by M₄(2) of D₆ acting via D₆/S₃=C₂	48	4	M4(2).25D6	192,452
D₂₄⋊₁₀C₄	10^th semidirect product of D₂₄ and C₄ acting via C₄/C₂=C₂	48	4	D24:10C4	192,453
D₂₄⋊₇C₄	7^th semidirect product of D₂₄ and C₄ acting via C₄/C₂=C₂	48	4	D24:7C4	192,454
C₂₄.₁₉D₄	19^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	48	4+	C24.19D4	192,456
C₂₄.₄₂D₄	42^nd non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	48	4	C24.42D4	192,457
S₃×M₅(2)	Direct product of S₃ and M₅(2)	48	4	S3xM5(2)	192,465
C₁₆⋊D₆	1^st semidirect product of C₁₆ and D₆ acting via D₆/C₃=C₂²	48	4+	C16:D6	192,467
S₃×D₁₆	Direct product of S₃ and D₁₆	48	4+	S3xD16	192,469
D₈⋊D₆	2^nd semidirect product of D₈ and D₆ acting via D₆/S₃=C₂	48	4	D8:D6	192,470
S₃×SD₃₂	Direct product of S₃ and SD₃₂	48	4	S3xSD32	192,472
D₄₈⋊C₂	6^th semidirect product of D₄₈ and C₂ acting faithfully	48	4+	D48:C2	192,473
C₂×C₄²⋊₄S₃	Direct product of C₂ and C₄²⋊₄S₃	48		C2xC4^2:4S3	192,486
C₂×C₂³.₆D₆	Direct product of C₂ and C₂³.₆D₆	48		C2xC2^3.6D6	192,513
C₂⁴.₅₉D₆	6^th non-split extension by C₂⁴ of D₆ acting via D₆/S₃=C₂	48		C2^4.59D6	192,514
C₄⋊C₄⋊₃₆D₆	2^nd semidirect product of C₄⋊C₄ and D₆ acting via D₆/C₆=C₂	48		C4:C4:36D6	192,560
C₄²⋊₆D₆	4^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48	4	C4^2:6D6	192,564
(C₂×D₁₂)⋊₁₃C₄	9^th semidirect product of C₂×D₁₂ and C₄ acting via C₄/C₂=C₂	48	4	(C2xD12):13C4	192,565
D₁₂⋊₁₆D₄	4^th semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	48		D12:16D4	192,595
D₁₂.₃₆D₄	6^th non-split extension by D₁₂ of D₄ acting via D₄/C₂²=C₂	48		D12.36D4	192,605
C₂²⋊C₄⋊D₆	4^th semidirect product of C₂²⋊C₄ and D₆ acting via D₆/C₃=C₂²	48	4	C2^2:C4:D6	192,612
C₄²⋊₇D₆	5^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48	4	C4^2:7D6	192,620
D₁₂.₁₄D₄	14^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	48	4	D12.14D4	192,621
D₁₂.₁₅D₄	15^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	48	4	D12.15D4	192,654
C₂³.₈Dic₆	6^th non-split extension by C₂³ of Dic₆ acting via Dic₆/C₆=C₂²	48	4	C2^3.8Dic6	192,683
C₂³.₉Dic₆	7^th non-split extension by C₂³ of Dic₆ acting via Dic₆/C₆=C₂²	48	4	C2^3.9Dic6	192,684
D₆⋊₆M₄(2)	2^nd semidirect product of D₆ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	48		D6:6M4(2)	192,685
C₂×C₁₂.₄₆D₄	Direct product of C₂ and C₁₂.₄₆D₄	48		C2xC12.46D4	192,689
C₂³.₅₃D₁₂	19^th non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	48		C2^3.53D12	192,690
M₄(2).₃₁D₆	4^th non-split extension by M₄(2) of D₆ acting via D₆/C₆=C₂	48	4	M4(2).31D6	192,691
C₂×D₁₂⋊C₄	Direct product of C₂ and D₁₂⋊C₄	48		C2xD12:C4	192,697
M₄(2)⋊₂₄D₆	8^th semidirect product of M₄(2) and D₆ acting via D₆/C₆=C₂	48	4	M4(2):24D6	192,698
Q₈.₈D₁₂	3^rd non-split extension by Q₈ of D₁₂ acting via D₁₂/C₁₂=C₂	48	4	Q8.8D12	192,700
Q₈.₉D₁₂	4^th non-split extension by Q₈ of D₁₂ acting via D₁₂/C₁₂=C₂	48	4+	Q8.9D12	192,701
C₂₄.₁₀₀D₄	23^rd non-split extension by C₂₄ of D₄ acting via D₄/C₂²=C₂	48	4	C24.100D4	192,703
C₂₄.₅₄D₄	54^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	48	4	C24.54D4	192,704
D₈.D₆	1^st non-split extension by D₈ of D₆ acting via D₆/C₆=C₂	48	4	D8.D6	192,706
D₁₂⋊D₄	6^th semidirect product of D₁₂ and D₄ acting via D₄/C₂=C₂²	48		D12:D4	192,715
C₂₄.₂₃D₄	23^rd non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	48	4	C24.23D4	192,719
D₆⋊₆SD₁₆	2^nd semidirect product of D₆ and SD₁₆ acting via SD₁₆/D₄=C₂	48		D6:6SD16	192,728
C₂₄.₄₄D₄	44^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	48	4	C24.44D4	192,736
Q₁₆⋊D₆	2^nd semidirect product of Q₁₆ and D₆ acting via D₆/C₆=C₂	48	4+	Q16:D6	192,752
D₈⋊₅Dic₃	The semidirect product of D₈ and Dic₃ acting through Inn(D₈)	48	4	D8:5Dic3	192,755
D₈⋊₄Dic₃	4^th semidirect product of D₈ and Dic₃ acting via Dic₃/C₆=C₂	48	4	D8:4Dic3	192,756
M₄(2).D₆	12^nd non-split extension by M₄(2) of D₆ acting via D₆/C₃=C₂²	48	8+	M4(2).D6	192,758
M₄(2).₁₃D₆	13^rd non-split extension by M₄(2) of D₆ acting via D₆/C₃=C₂²	48	8-	M4(2).13D6	192,759
D₁₂.₃₈D₄	8^th non-split extension by D₁₂ of D₄ acting via D₄/C₂²=C₂	48	8-	D12.38D4	192,760
D₁₂.₃₉D₄	9^th non-split extension by D₁₂ of D₄ acting via D₄/C₂²=C₂	48	8+	D12.39D4	192,761
M₄(2).₁₅D₆	15^th non-split extension by M₄(2) of D₆ acting via D₆/C₃=C₂²	48	8+	M4(2).15D6	192,762
D₁₂.₄₀D₄	10^th non-split extension by D₁₂ of D₄ acting via D₄/C₂²=C₂	48	8-	D12.40D4	192,764
C₂⁴.₆Dic₃	2^nd non-split extension by C₂⁴ of Dic₃ acting via Dic₃/C₆=C₂	48		C2^4.6Dic3	192,766
(C₆×D₄)⋊₆C₄	2^nd semidirect product of C₆×D₄ and C₄ acting via C₄/C₂=C₂	48		(C6xD4):6C4	192,774
C₂×C₁₂.D₄	Direct product of C₂ and C₁₂.D₄	48		C2xC12.D4	192,775
(C₂×C₆)⋊₈D₈	2^nd semidirect product of C₂×C₆ and D₈ acting via D₈/D₄=C₂	48		(C2xC6):8D8	192,776
(C₃×D₄).₃₁D₄	1^st non-split extension by C₃×D₄ of D₄ acting via D₄/C₂²=C₂	48		(C3xD4).31D4	192,777
C₂×C₂³.₇D₆	Direct product of C₂ and C₂³.₇D₆	48		C2xC2^3.7D6	192,778
C₂×Q₈⋊₃Dic₃	Direct product of C₂ and Q₈⋊₃Dic₃	48		C2xQ8:3Dic3	192,794
(C₆×D₄)⋊₉C₄	5^th semidirect product of C₆×D₄ and C₄ acting via C₄/C₂=C₂	48	4	(C6xD4):9C4	192,795
(C₆×D₄).₁₆C₄	10^th non-split extension by C₆×D₄ of C₄ acting via C₄/C₂=C₂	48	4	(C6xD4).16C4	192,796
(C₆×D₄)⋊₁₀C₄	6^th semidirect product of C₆×D₄ and C₄ acting via C₄/C₂=C₂	48	4	(C6xD4):10C4	192,799
2₊¹⁺⁴.₄S₃	1^st non-split extension by 2₊¹⁺⁴ of S₃ acting via S₃/C₃=C₂	48	8-	ES+(2,2).4S3	192,801
2₊¹⁺⁴.₅S₃	2^nd non-split extension by 2₊¹⁺⁴ of S₃ acting via S₃/C₃=C₂	48	8-	ES+(2,2).5S3	192,802
2_-¹⁺⁴⋊₄S₃	1^st semidirect product of 2_-¹⁺⁴ and S₃ acting via S₃/C₃=C₂	48	8+	ES-(2,2):4S3	192,804
2_-¹⁺⁴.₂S₃	The non-split extension by 2_-¹⁺⁴ of S₃ acting via S₃/C₃=C₂	48	8-	ES-(2,2).2S3	192,805
C₂⁵.₄S₃	1^st non-split extension by C₂⁵ of S₃ acting via S₃/C₃=C₂	48		C2^5.4S3	192,806
C₃×C₂⁴⋊₃C₄	Direct product of C₃ and C₂⁴⋊₃C₄	48		C3xC2^4:3C4	192,812
C₃×C₂⁴.₄C₄	Direct product of C₃ and C₂⁴.₄C₄	48		C3xC2^4.4C4	192,840
C₆×C₂³⋊C₄	Direct product of C₆ and C₂³⋊C₄	48		C6xC2^3:C4	192,842
C₃×C₂³.C₂³	Direct product of C₃ and C₂³.C₂³	48	4	C3xC2^3.C2^3	192,843
C₆×C₄.D₄	Direct product of C₆ and C₄.D₄	48		C6xC4.D4	192,844
C₃×M₄(2).₈C₂²	Direct product of C₃ and M₄(2).₈C₂²	48	4	C3xM4(2).8C2^2	192,846
C₃×C₂³.₃₇D₄	Direct product of C₃ and C₂³.₃₇D₄	48		C3xC2^3.37D4	192,851
C₆×C₄≀C₂	Direct product of C₆ and C₄≀C₂	48		C6xC4wrC2	192,853
C₃×C₄²⋊C₂²	Direct product of C₃ and C₄²⋊C₂²	48	4	C3xC4^2:C2^2	192,854
C₃×M₄(2).C₄	Direct product of C₃ and M₄(2).C₄	48	4	C3xM4(2).C4	192,863
C₃×C₈○D₈	Direct product of C₃ and C₈○D₈	48	2	C3xC8oD8	192,876
C₃×C₈.₂₆D₄	Direct product of C₃ and C₈.₂₆D₄	48	4	C3xC8.26D4	192,877
C₃×C₂²⋊D₈	Direct product of C₃ and C₂²⋊D₈	48		C3xC2^2:D8	192,880
C₃×C₂²⋊SD₁₆	Direct product of C₃ and C₂²⋊SD₁₆	48		C3xC2^2:SD16	192,883
C₃×D₄.₈D₄	Direct product of C₃ and D₄.₈D₄	48	4	C3xD4.8D4	192,887
C₃×D₄.₉D₄	Direct product of C₃ and D₄.₉D₄	48	4	C3xD4.9D4	192,888
C₃×D₄.₁₀D₄	Direct product of C₃ and D₄.₁₀D₄	48	4	C3xD4.10D4	192,889
C₃×C₂³.₇D₄	Direct product of C₃ and C₂³.₇D₄	48	4	C3xC2^3.7D4	192,891
C₃×D₄.₃D₄	Direct product of C₃ and D₄.₃D₄	48	4	C3xD4.3D4	192,904
C₃×D₄.₄D₄	Direct product of C₃ and D₄.₄D₄	48	4	C3xD4.4D4	192,905
C₃×C₁₆⋊C₂²	Direct product of C₃ and C₁₆⋊C₂²	48	4	C3xC16:C2^2	192,942
A₄⋊Q₁₆	The semidirect product of A₄ and Q₁₆ acting via Q₁₆/C₈=C₂	48	6-	A4:Q16	192,957
C₂×A₄⋊C₈	Direct product of C₂ and A₄⋊C₈	48		C2xA4:C8	192,967
C₄×A₄⋊C₄	Direct product of C₄ and A₄⋊C₄	48		C4xA4:C4	192,969
C₂⁴.₃D₆	2^nd non-split extension by C₂⁴ of D₆ acting via D₆/C₂=S₃	48		C2^4.3D6	192,970
C₂⁴.₄D₆	3^rd non-split extension by C₂⁴ of D₆ acting via D₆/C₂=S₃	48		C2^4.4D6	192,971
A₄⋊₂Q₁₆	The semidirect product of A₄ and Q₁₆ acting via Q₁₆/Q₈=C₂	48	6-	A4:2Q16	192,975
C₂×U₂(𝔽₃)	Direct product of C₂ and U₂(𝔽₃)	48		C2xU(2,3)	192,981
Q₈.₄S₄	2^nd non-split extension by Q₈ of S₄ acting via S₄/A₄=C₂	48	4	Q8.4S4	192,987
A₄×C₄²	Direct product of C₄² and A₄	48		A4xC4^2	192,993
A₄×C₄⋊C₄	Direct product of A₄ and C₄⋊C₄	48		A4xC4:C4	192,995
A₄×C₂×C₈	Direct product of C₂×C₈ and A₄	48		A4xC2xC8	192,1010
A₄×Q₁₆	Direct product of A₄ and Q₁₆	48	6-	A4xQ16	192,1016
Q₁₆.A₄	The non-split extension by Q₁₆ of A₄ acting through Inn(Q₁₆)	48	4+	Q16.A4	192,1017
C₄².A₄	The non-split extension by C₄² of A₄ acting faithfully	48	12-	C4^2.A4	192,1025
C₂³⋊₃Dic₆	2^nd semidirect product of C₂³ and Dic₆ acting via Dic₆/C₆=C₂²	48		C2^3:3Dic6	192,1042
C₂×S₃×C₂²⋊C₄	Direct product of C₂, S₃ and C₂²⋊C₄	48		C2xS3xC2^2:C4	192,1043
C₂⁴.₃₅D₆	24^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.35D6	192,1045
C₂×D₆⋊D₄	Direct product of C₂ and D₆⋊D₄	48		C2xD6:D4	192,1046
C₂⁴.₃₈D₆	27^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.38D6	192,1049
C₂³⋊₄D₁₂	2^nd semidirect product of C₂³ and D₁₂ acting via D₁₂/C₆=C₂²	48		C2^3:4D12	192,1052
C₂⁴.₄₁D₆	30^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.41D6	192,1053
C₂⁴.₄₂D₆	31^st non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.42D6	192,1054
S₃×C₄²⋊C₂	Direct product of S₃ and C₄²⋊C₂	48		S3xC4^2:C2	192,1079
C₄²⋊₉D₆	7^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:9D6	192,1080
C₄²⋊₁₀D₆	8^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:10D6	192,1083
C₄²⋊₁₁D₆	9^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:11D6	192,1084
C₄²⋊₁₂D₆	10^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:12D6	192,1086
C₄×S₃×D₄	Direct product of C₄, S₃ and D₄	48		C4xS3xD4	192,1103
C₄²⋊₁₃D₆	11^st semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:13D6	192,1104
C₄²⋊₁₄D₆	12^nd semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:14D6	192,1106
D₄×D₁₂	Direct product of D₄ and D₁₂	48		D4xD12	192,1108
D₁₂⋊₂₃D₄	1^st semidirect product of D₁₂ and D₄ acting through Inn(D₁₂)	48		D12:23D4	192,1109
D₄⋊₅D₁₂	1^st semidirect product of D₄ and D₁₂ acting through Inn(D₄)	48		D4:5D12	192,1113
C₄²⋊₁₈D₆	16^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:18D6	192,1115
C₄²⋊₁₉D₆	17^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:19D6	192,1119
C₂⁴.₆₇D₆	14^th non-split extension by C₂⁴ of D₆ acting via D₆/S₃=C₂	48		C2^4.67D6	192,1145
C₂⁴.₄₃D₆	32^nd non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.43D6	192,1146
C₂⁴⋊₇D₆	2^nd semidirect product of C₂⁴ and D₆ acting via D₆/C₃=C₂²	48		C2^4:7D6	192,1148
C₂⁴⋊₈D₆	3^rd semidirect product of C₂⁴ and D₆ acting via D₆/C₃=C₂²	48		C2^4:8D6	192,1149
C₂⁴.₄₄D₆	33^rd non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.44D6	192,1150
C₂⁴.₄₅D₆	34^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.45D6	192,1151
C₂⁴.₄₆D₆	35^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.46D6	192,1152
C₂⁴⋊₉D₆	4^th semidirect product of C₂⁴ and D₆ acting via D₆/C₃=C₂²	48		C2^4:9D6	192,1153
C₂⁴.₄₇D₆	36^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.47D6	192,1154
S₃×C₄⋊D₄	Direct product of S₃ and C₄⋊D₄	48		S3xC4:D4	192,1163
C₆.₃₇2₊¹⁺⁴	37^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.37ES+(2,2)	192,1164
C₄⋊C₄⋊₂₁D₆	4^th semidirect product of C₄⋊C₄ and D₆ acting via D₆/S₃=C₂	48		C4:C4:21D6	192,1165
C₆.₃₈2₊¹⁺⁴	38^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.38ES+(2,2)	192,1166
D₁₂⋊₁₉D₄	7^th semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	48		D12:19D4	192,1168
C₆.₄₀2₊¹⁺⁴	40^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.40ES+(2,2)	192,1169
D₁₂⋊₂₀D₄	8^th semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	48		D12:20D4	192,1171
C₆.₄₂2₊¹⁺⁴	42^nd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.42ES+(2,2)	192,1172
C₆.₄₆2₊¹⁺⁴	46^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.46ES+(2,2)	192,1176
C₆.₄₈2₊¹⁺⁴	48^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.48ES+(2,2)	192,1179
S₃×C₂²⋊Q₈	Direct product of S₃ and C₂²⋊Q₈	48		S3xC2^2:Q8	192,1185
C₄⋊C₄⋊₂₆D₆	9^th semidirect product of C₄⋊C₄ and D₆ acting via D₆/S₃=C₂	48		C4:C4:26D6	192,1186
D₁₂⋊₂₁D₄	9^th semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	48		D12:21D4	192,1189
C₆.₅₁2₊¹⁺⁴	51^st non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.51ES+(2,2)	192,1193
C₆.₅₃2₊¹⁺⁴	53^rd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.53ES+(2,2)	192,1196
C₆.₅₆2₊¹⁺⁴	56^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.56ES+(2,2)	192,1203
S₃×C₂².D₄	Direct product of S₃ and C₂².D₄	48		S3xC2^2.D4	192,1211
C₆.₁₂₀2₊¹⁺⁴	29^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	48		C6.120ES+(2,2)	192,1212
C₆.₁₂₁2₊¹⁺⁴	30^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	48		C6.121ES+(2,2)	192,1213
C₄⋊C₄⋊₂₈D₆	11^st semidirect product of C₄⋊C₄ and D₆ acting via D₆/S₃=C₂	48		C4:C4:28D6	192,1215
C₆.₆₁2₊¹⁺⁴	61^st non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.61ES+(2,2)	192,1216
C₆.₁₂₂2₊¹⁺⁴	31^st non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	48		C6.122ES+(2,2)	192,1217
C₆.₆₂2₊¹⁺⁴	62^nd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.62ES+(2,2)	192,1218
C₆.₆₈2₊¹⁺⁴	68^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	48		C6.68ES+(2,2)	192,1225
S₃×C₄.₄D₄	Direct product of S₃ and C₄.₄D₄	48		S3xC4.4D4	192,1232
C₄²⋊₂₀D₆	18^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:20D6	192,1233
D₁₂⋊₁₀D₄	3^rd semidirect product of D₁₂ and D₄ acting via D₄/C₄=C₂	48		D12:10D4	192,1235
C₄²⋊₂₂D₆	20^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:22D6	192,1237
C₄²⋊₂₃D₆	21^st semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:23D6	192,1238
C₄²⋊₂₄D₆	22^nd semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:24D6	192,1242
S₃×C₄²⋊₂C₂	Direct product of S₃ and C₄²⋊₂C₂	48		S3xC4^2:2C2	192,1262
C₄²⋊₂₅D₆	23^rd semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:25D6	192,1263
C₄²⋊₂₆D₆	24^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:26D6	192,1264
C₄²⋊₂₇D₆	25^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:27D6	192,1270
S₃×C₄⋊₁D₄	Direct product of S₃ and C₄⋊₁D₄	48		S3xC4:1D4	192,1273
C₄²⋊₂₈D₆	26^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:28D6	192,1274
D₁₂⋊₁₁D₄	4^th semidirect product of D₁₂ and D₄ acting via D₄/C₄=C₂	48		D12:11D4	192,1276
C₄²⋊₃₀D₆	28^th semidirect product of C₄² and D₆ acting via D₆/C₃=C₂²	48		C4^2:30D6	192,1279
C₂×S₃×M₄(2)	Direct product of C₂, S₃ and M₄(2)	48		C2xS3xM4(2)	192,1302
M₄(2)⋊₂₆D₆	2^nd semidirect product of M₄(2) and D₆ acting through Inn(M₄(2))	48	4	M4(2):26D6	192,1304
C₂×C₈⋊D₆	Direct product of C₂ and C₈⋊D₆	48		C2xC8:D6	192,1305
C₂₄.₉C₂³	2^nd non-split extension by C₂₄ of C₂³ acting via C₂³/C₂=C₂²	48	4	C24.9C2^3	192,1307
S₃×C₈○D₄	Direct product of S₃ and C₈○D₄	48	4	S3xC8oD4	192,1308
M₄(2)⋊₂₈D₆	4^th semidirect product of M₄(2) and D₆ acting through Inn(M₄(2))	48	4	M4(2):28D6	192,1309
D₄.₁₁D₁₂	1^st non-split extension by D₄ of D₁₂ acting through Inn(D₄)	48	4	D4.11D12	192,1310
D₄.₁₂D₁₂	2^nd non-split extension by D₄ of D₁₂ acting through Inn(D₄)	48	4+	D4.12D12	192,1311
C₂×S₃×D₈	Direct product of C₂, S₃ and D₈	48		C2xS3xD8	192,1313
C₂×D₈⋊S₃	Direct product of C₂ and D₈⋊S₃	48		C2xD8:S3	192,1314
D₈⋊₁₃D₆	2^nd semidirect product of D₈ and D₆ acting through Inn(D₈)	48	4	D8:13D6	192,1316
C₂×S₃×SD₁₆	Direct product of C₂, S₃ and SD₁₆	48		C2xS3xSD16	192,1317
C₂×Q₈⋊₃D₆	Direct product of C₂ and Q₈⋊₃D₆	48		C2xQ8:3D6	192,1318
SD₁₆⋊₁₃D₆	2^nd semidirect product of SD₁₆ and D₆ acting through Inn(SD₁₆)	48	4	SD16:13D6	192,1321
S₃×C₄○D₈	Direct product of S₃ and C₄○D₈	48	4	S3xC4oD8	192,1326
SD₁₆⋊D₆	3^rd semidirect product of SD₁₆ and D₆ acting via D₆/C₆=C₂	48	4	SD16:D6	192,1327
D₈⋊₁₅D₆	4^th semidirect product of D₈ and D₆ acting through Inn(D₈)	48	4+	D8:15D6	192,1328
D₈⋊₁₁D₆	5^th semidirect product of D₈ and D₆ acting via D₆/C₆=C₂	48	4	D8:11D6	192,1329
D₈⋊₄D₆	4^th semidirect product of D₈ and D₆ acting via D₆/S₃=C₂	48	8-	D8:4D6	192,1332
D₈⋊₅D₆	5^th semidirect product of D₈ and D₆ acting via D₆/S₃=C₂	48	8+	D8:5D6	192,1333
D₈⋊₆D₆	6^th semidirect product of D₈ and D₆ acting via D₆/S₃=C₂	48	8-	D8:6D6	192,1334
S₃×C₈.C₂²	Direct product of S₃ and C₈.C₂²	48	8-	S3xC8.C2^2	192,1335
D₂₄⋊C₂²	3^rd semidirect product of D₂₄ and C₂² acting faithfully	48	8+	D24:C2^2	192,1336
C₂₄.C₂³	6^th non-split extension by C₂₄ of C₂³ acting faithfully	48	8+	C24.C2^3	192,1337
C₂⁴.₈₃D₆	12^nd non-split extension by C₂⁴ of D₆ acting via D₆/C₆=C₂	48		C2^4.83D6	192,1350
C₂×D₁₂⋊₆C₂²	Direct product of C₂ and D₁₂⋊₆C₂²	48		C2xD12:6C2^2	192,1352
C₂⁴.₄₉D₆	38^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.49D6	192,1357
C₂×C₂³⋊₂D₆	Direct product of C₂ and C₂³⋊₂D₆	48		C2xC2^3:2D6	192,1358
D₄×C₃⋊D₄	Direct product of D₄ and C₃⋊D₄	48		D4xC3:D4	192,1360
C₂⁴⋊₁₂D₆	7^th semidirect product of C₂⁴ and D₆ acting via D₆/C₃=C₂²	48		C2^4:12D6	192,1363
C₂⁴.₅₂D₆	41^st non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.52D6	192,1364
C₂⁴.₅₃D₆	42^nd non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	48		C2^4.53D6	192,1365
C₁₂.₇₆C₂⁴	23^rd non-split extension by C₁₂ of C₂⁴ acting via C₂⁴/C₂³=C₂	48	4	C12.76C2^4	192,1378
C₂×D₄⋊D₆	Direct product of C₂ and D₄⋊D₆	48		C2xD4:D6	192,1379
C₁₂.C₂⁴	35^th non-split extension by C₁₂ of C₂⁴ acting via C₂⁴/C₂²=C₂²	48	4	C12.C2^4	192,1381
(C₂×D₄)⋊₄₃D₆	11^st semidirect product of C₂×D₄ and D₆ acting via D₆/C₆=C₂	48		(C2xD4):43D6	192,1387
C₆.₁₄₅2₊¹⁺⁴	54^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	48		C6.145ES+(2,2)	192,1388
C₆.₁₄₆2₊¹⁺⁴	55^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	48		C6.146ES+(2,2)	192,1389
D₁₂.₃₂C₂³	13^rd non-split extension by D₁₂ of C₂³ acting via C₂³/C₂²=C₂	48	8+	D12.32C2^3	192,1394
D₁₂.₃₃C₂³	14^th non-split extension by D₁₂ of C₂³ acting via C₂³/C₂²=C₂	48	8-	D12.33C2^3	192,1395
D₁₂.₃₄C₂³	15^th non-split extension by D₁₂ of C₂³ acting via C₂³/C₂²=C₂	48	8+	D12.34C2^3	192,1396
C₂×C₂⁴⋊₄S₃	Direct product of C₂ and C₂⁴⋊₄S₃	48		C2xC2^4:4S3	192,1399
C₃×C₂².₁₁C₂⁴	Direct product of C₃ and C₂².₁₁C₂⁴	48		C3xC2^2.11C2^4	192,1407
C₆×C₂²≀C₂	Direct product of C₆ and C₂²≀C₂	48		C6xC2^2wrC2	192,1410
C₃×C₂².₁₉C₂⁴	Direct product of C₃ and C₂².₁₉C₂⁴	48		C3xC2^2.19C2^4	192,1414
C₃×C₂³⋊₃D₄	Direct product of C₃ and C₂³⋊₃D₄	48		C3xC2^3:3D4	192,1423
C₃×C₂².₂₉C₂⁴	Direct product of C₃ and C₂².₂₉C₂⁴	48		C3xC2^2.29C2^4	192,1424
C₃×C₂².₃₂C₂⁴	Direct product of C₃ and C₂².₃₂C₂⁴	48		C3xC2^2.32C2^4	192,1427
C₃×C₂³⋊₂Q₈	Direct product of C₃ and C₂³⋊₂Q₈	48		C3xC2^3:2Q8	192,1432
C₃×D₄²	Direct product of C₃, D₄ and D₄	48		C3xD4^2	192,1434
C₃×D₄⋊₅D₄	Direct product of C₃ and D₄⋊₅D₄	48		C3xD4:5D4	192,1435
C₃×C₂².₄₅C₂⁴	Direct product of C₃ and C₂².₄₅C₂⁴	48		C3xC2^2.45C2^4	192,1440
C₃×C₂².₅₄C₂⁴	Direct product of C₃ and C₂².₅₄C₂⁴	48		C3xC2^2.54C2^4	192,1449
C₃×C₂⁴⋊C₂²	Direct product of C₃ and C₂⁴⋊C₂²	48		C3xC2^4:C2^2	192,1450
C₃×Q₈○M₄(2)	Direct product of C₃ and Q₈○M₄(2)	48	4	C3xQ8oM4(2)	192,1457
C₆×C₈⋊C₂²	Direct product of C₆ and C₈⋊C₂²	48		C6xC8:C2^2	192,1462
C₃×D₈⋊C₂²	Direct product of C₃ and D₈⋊C₂²	48	4	C3xD8:C2^2	192,1464
C₃×D₄○D₈	Direct product of C₃ and D₄○D₈	48	4	C3xD4oD8	192,1465
C₃×D₄○SD₁₆	Direct product of C₃ and D₄○SD₁₆	48	4	C3xD4oSD16	192,1466
C₂×A₄⋊Q₈	Direct product of C₂ and A₄⋊Q₈	48		C2xA4:Q8	192,1468
C₂²×A₄⋊C₄	Direct product of C₂² and A₄⋊C₄	48		C2^2xA4:C4	192,1487
Q₈.₁S₄	1^st non-split extension by Q₈ of S₄ acting via S₄/C₂²=S₃	48	6-	Q8.1S4	192,1489
A₄×C₂²×C₄	Direct product of C₂²×C₄ and A₄	48		A4xC2^2xC4	192,1496
C₂×Q₈×A₄	Direct product of C₂, Q₈ and A₄	48		C2xQ8xA4	192,1499
C₂×Q₈.A₄	Direct product of C₂ and Q₈.A₄	48		C2xQ8.A4	192,1502
C₂×Q₈⋊A₄	Direct product of C₂ and Q₈⋊A₄	48		C2xQ8:A4	192,1506
C₂²×S₃×D₄	Direct product of C₂², S₃ and D₄	48		C2^2xS3xD4	192,1514
C₂×D₄⋊₆D₆	Direct product of C₂ and D₄⋊₆D₆	48		C2xD4:6D6	192,1516
C₂×S₃×C₄○D₄	Direct product of C₂, S₃ and C₄○D₄	48		C2xS3xC4oD4	192,1520
C₂×D₄○D₁₂	Direct product of C₂ and D₄○D₁₂	48		C2xD4oD12	192,1521
C₆.C₂⁵	14^th non-split extension by C₆ of C₂⁵ acting via C₂⁵/C₂⁴=C₂	48	4	C6.C2^5	192,1523
D₆.C₂⁴	9^th non-split extension by D₆ of C₂⁴ acting via C₂⁴/C₂³=C₂	48	8-	D6.C2^4	192,1525
S₃×2_-¹⁺⁴	Direct product of S₃ and 2_-¹⁺⁴	48	8-	S3xES-(2,2)	192,1526
D₁₂.₃₉C₂³	20^th non-split extension by D₁₂ of C₂³ acting via C₂³/C₂²=C₂	48	8+	D12.39C2^3	192,1527
C₆×2₊¹⁺⁴	Direct product of C₆ and 2₊¹⁺⁴	48		C6xES+(2,2)	192,1534
C₃×C₂.C₂⁵	Direct product of C₃ and C₂.C₂⁵	48	4	C3xC2.C2^5	192,1536
A₄×C₂⁴	Direct product of C₂⁴ and A₄	48		A4xC2^4	192,1539

Groups of order 240

		d	ρ	Label	ID
CSU₂(𝔽₅)	Conformal special unitary group on 𝔽₅²; = C₂ .₂ S₅	48	4-	CSU(2,5)	240,89
C₂×SL₂(𝔽₅)	Direct product of C₂ and SL₂(𝔽₅)	48		C2xSL(2,5)	240,94

Groups of order 288

		d	ρ	Label	ID
C₂₄.₆₀D₆	13^rd non-split extension by C₂₄ of D₆ acting via D₆/S₃=C₂	48	4	C24.60D6	288,190
C₂₄.₆₂D₆	15^th non-split extension by C₂₄ of D₆ acting via D₆/S₃=C₂	48	4	C24.62D6	288,192
C₃⋊D₄₈	The semidirect product of C₃ and D₄₈ acting via D₄₈/D₂₄=C₂	48	4+	C3:D48	288,194
C₂₄.₄₉D₆	2^nd non-split extension by C₂₄ of D₆ acting via D₆/S₃=C₂	48	4+	C24.49D6	288,197
C₁₂.₇₈D₁₂	9^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	48		C12.78D12	288,205
C₁₂.D₁₂	13^rd non-split extension by C₁₂ of D₁₂ acting via D₁₂/C₆=C₂²	48	4	C12.D12	288,206
C₁₂.₁₄D₁₂	14^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/C₆=C₂²	48	4	C12.14D12	288,208
C₁₂.₇₁D₁₂	2^nd non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	48	4-	C12.71D12	288,209
C₆.₁₇D₂₄	6^th non-split extension by C₆ of D₂₄ acting via D₂₄/D₁₂=C₂	48		C6.17D24	288,212
D₁₂⋊₂Dic₃	2^nd semidirect product of D₁₂ and Dic₃ acting via Dic₃/C₆=C₂	48	4	D12:2Dic3	288,217
C₁₂.₈₀D₁₂	11^st non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	48	4	C12.80D12	288,218
C₁₂.₈₂D₁₂	13^rd non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	48	4	C12.82D12	288,225
C₆².₅Q₈	2^nd non-split extension by C₆² of Q₈ acting via Q₈/C₂=C₂²	48	4	C6^2.5Q8	288,226
C₃×C₁₂.C₈	Direct product of C₃ and C₁₂.C₈	48	2	C3xC12.C8	288,246
C₃×C₂₄.C₄	Direct product of C₃ and C₂₄.C₄	48	2	C3xC24.C4	288,253
C₃×C₁₂.₅₃D₄	Direct product of C₃ and C₁₂.₅₃D₄	48	4	C3xC12.53D4	288,256
C₃×C₁₂.₄₆D₄	Direct product of C₃ and C₁₂.₄₆D₄	48	4	C3xC12.46D4	288,257
C₃×C₁₂.₄₇D₄	Direct product of C₃ and C₁₂.₄₇D₄	48	4	C3xC12.47D4	288,258
C₃×D₁₂⋊C₄	Direct product of C₃ and D₁₂⋊C₄	48	4	C3xD12:C4	288,259
C₃×C₃⋊D₁₆	Direct product of C₃ and C₃⋊D₁₆	48	4	C3xC3:D16	288,260
C₃×D₈.S₃	Direct product of C₃ and D₈.S₃	48	4	C3xD8.S3	288,261
C₃×C₁₂.₅₅D₄	Direct product of C₃ and C₁₂.₅₅D₄	48		C3xC12.55D4	288,264
C₃×D₄⋊Dic₃	Direct product of C₃ and D₄⋊Dic₃	48		C3xD4:Dic3	288,266
C₃×C₁₂.₁₀D₄	Direct product of C₃ and C₁₂.₁₀D₄	48	4	C3xC12.10D4	288,270
C₃×Q₈⋊₃Dic₃	Direct product of C₃ and Q₈⋊₃Dic₃	48	4	C3xQ8:3Dic3	288,271
(C₃×C₁₂).D₄	2^nd non-split extension by C₃×C₁₂ of D₄ acting faithfully	48	4	(C3xC12).D4	288,376
C₃⋊S₃.₂Q₁₆	1^st non-split extension by C₃⋊S₃ of Q₁₆ acting via Q₁₆/C₄=C₂²	48	4	C3:S3.2Q16	288,378
C₃²⋊C₄≀C₂	The semidirect product of C₃² and C₄≀C₂ acting via C₄≀C₂/C₄=D₄	48	4	C3^2:C4wrC2	288,379
C₃²⋊C₄⋊C₈	2^nd semidirect product of C₃²⋊C₄ and C₈ acting via C₈/C₄=C₂	48	4	C3^2:C4:C8	288,380
C₄.₁₉S₃≀C₂	4^th central extension by C₄ of S₃≀C₂	48	4	C4.19S3wrC2	288,381
C₃²⋊D₁₆	The semidirect product of C₃² and D₁₆ acting via D₁₆/C₄=D₄	48	8+	C3^2:D16	288,382
C₃²⋊SD₃₂	The semidirect product of C₃² and SD₃₂ acting via SD₃₂/C₄=D₄	48	8+	C3^2:SD32	288,383
C₆².D₄	1^st non-split extension by C₆² of D₄ acting faithfully	48		C6^2.D4	288,385
C₆².₃D₄	3^rd non-split extension by C₆² of D₄ acting faithfully	48		C6^2.3D4	288,387
C₄.₄PSU₃(𝔽₂)	The central extension by C₄ of PSU₃(𝔽₂)	48	8	C4.4PSU(3,2)	288,392
C₄.PSU₃(𝔽₂)	1^st non-split extension by C₄ of PSU₃(𝔽₂) acting via PSU₃(𝔽₂)/C₃²⋊C₄=C₂	48	8	C4.PSU(3,2)	288,393
C₄.₂PSU₃(𝔽₂)	2^nd non-split extension by C₄ of PSU₃(𝔽₂) acting via PSU₃(𝔽₂)/C₃²⋊C₄=C₂	48	8	C4.2PSU(3,2)	288,394
C₆².Q₈	1^st non-split extension by C₆² of Q₈ acting faithfully	48		C6^2.Q8	288,395
C₆².₂Q₈	2^nd non-split extension by C₆² of Q₈ acting faithfully	48	8-	C6^2.2Q8	288,396
C₄²⋊C₃⋊S₃	1^st semidirect product of C₄²⋊C₃ and S₃ acting via S₃/C₃=C₂	48	6	C4^2:C3:S3	288,406
C₃⋊S₃⋊₃C₁₆	2^nd semidirect product of C₃⋊S₃ and C₁₆ acting via C₁₆/C₈=C₂	48	4	C3:S3:3C16	288,412
C₃²⋊₃M₅(2)	The semidirect product of C₃² and M₅(2) acting via M₅(2)/C₈=C₄	48	4	C3^2:3M5(2)	288,413
C₈×C₃²⋊C₄	Direct product of C₈ and C₃²⋊C₄	48	4	C8xC3^2:C4	288,414
(C₃×C₂₄)⋊C₄	2^nd semidirect product of C₃×C₂₄ and C₄ acting faithfully	48	4	(C3xC24):C4	288,415
C₈⋊(C₃²⋊C₄)	2^nd semidirect product of C₈ and C₃²⋊C₄ acting via C₃²⋊C₄/C₃⋊S₃=C₂	48	4	C8:(C3^2:C4)	288,416
C₃⋊S₃.₄D₈	The non-split extension by C₃⋊S₃ of D₈ acting via D₈/C₈=C₂	48	4	C3:S3.4D8	288,417
(C₃×C₂₄).C₄	4^th non-split extension by C₃×C₂₄ of C₄ acting faithfully	48	4	(C3xC24).C4	288,418
C₈.(C₃²⋊C₄)	1^st non-split extension by C₈ of C₃²⋊C₄ acting via C₃²⋊C₄/C₃⋊S₃=C₂	48	4	C8.(C3^2:C4)	288,419
C₆².₄C₈	2^nd non-split extension by C₆² of C₈ acting via C₈/C₂=C₄	48	4	C6^2.4C8	288,421
C₆².₆(C₂×C₄)	5^th non-split extension by C₆² of C₂×C₄ acting via C₂×C₄/C₂=C₄	48		C6^2.6(C2xC4)	288,426
C₃⋊Dic₃.D₄	9^th non-split extension by C₃⋊Dic₃ of D₄ acting via D₄/C₂=C₂²	48	4-	C3:Dic3.D4	288,428
(C₆×C₁₂)⋊₂C₄	2^nd semidirect product of C₆×C₁₂ and C₄ acting faithfully	48		(C6xC12):2C4	288,429
C₃²⋊₆C₄≀C₂	The semidirect product of C₃² and C₄≀C₂ acting via C₄≀C₂/D₄=C₄	48	8-	C3^2:6C4wrC2	288,431
C₃⋊S₃.₅Q₁₆	The non-split extension by C₃⋊S₃ of Q₁₆ acting via Q₁₆/Q₈=C₂	48	8-	C3:S3.5Q16	288,432
C₃²⋊₇C₄≀C₂	The semidirect product of C₃² and C₄≀C₂ acting via C₄≀C₂/Q₈=C₄	48	8+	C3^2:7C4wrC2	288,433
C₆²⋊₃C₈	1^st semidirect product of C₆² and C₈ acting via C₈/C₂=C₄	48		C6^2:3C8	288,435
S₃²×C₈	Direct product of C₈, S₃ and S₃	48	4	S3^2xC8	288,437
S₃×C₈⋊S₃	Direct product of S₃ and C₈⋊S₃	48	4	S3xC8:S3	288,438
C₂₄⋊D₆	14^th semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	48	4	C24:D6	288,439
S₃×C₂₄⋊C₂	Direct product of S₃ and C₂₄⋊C₂	48	4	S3xC24:C2	288,440
S₃×D₂₄	Direct product of S₃ and D₂₄	48	4+	S3xD24	288,441
C₂₄⋊₁D₆	1^st semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	48	4+	C24:1D6	288,442
D₂₄⋊S₃	2^nd semidirect product of D₂₄ and S₃ acting via S₃/C₃=C₂	48	4	D24:S3	288,443
C₂₄⋊₉D₆	9^th semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	48	4	C24:9D6	288,444
C₂₄⋊₄D₆	4^th semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	48	4	C24:4D6	288,445
C₂₄⋊₆D₆	6^th semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	48	4	C24:6D6	288,446
Dic₁₂⋊S₃	2^nd semidirect product of Dic₁₂ and S₃ acting via S₃/C₃=C₂	48	4	Dic12:S3	288,449
C₂₄.₂₃D₆	23^rd non-split extension by C₂₄ of D₆ acting via D₆/C₃=C₂²	48	4	C24.23D6	288,450
C₂₄.₆₃D₆	16^th non-split extension by C₂₄ of D₆ acting via D₆/S₃=C₂	48	4	C24.63D6	288,451
C₂₄.₆₄D₆	17^th non-split extension by C₂₄ of D₆ acting via D₆/S₃=C₂	48	4	C24.64D6	288,452
C₂₄.D₆	46^th non-split extension by C₂₄ of D₆ acting via D₆/C₃=C₂²	48	4	C24.D6	288,453
D₆.₁D₁₂	1^st non-split extension by D₆ of D₁₂ acting via D₁₂/C₁₂=C₂	48	4	D6.1D12	288,454
D₆.₃D₁₂	3^rd non-split extension by D₆ of D₁₂ acting via D₁₂/C₁₂=C₂	48	4+	D6.3D12	288,456
D₁₂.₂D₆	2^nd non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	4	D12.2D6	288,457
D₂₄⋊₅S₃	5^th semidirect product of D₂₄ and S₃ acting via S₃/C₃=C₂	48	4	D24:5S3	288,458
D₁₂.₄D₆	4^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	4	D12.4D6	288,459
S₃×C₄.Dic₃	Direct product of S₃ and C₄.Dic₃	48	4	S3xC4.Dic3	288,461
D₁₂.₂Dic₃	The non-split extension by D₁₂ of Dic₃ acting through Inn(D₁₂)	48	4	D12.2Dic3	288,462
D₁₂.Dic₃	The non-split extension by D₁₂ of Dic₃ acting via Dic₃/C₆=C₂	48	4	D12.Dic3	288,463
C₂×C₁₂.₂₉D₆	Direct product of C₂ and C₁₂.₂₉D₆	48		C2xC12.29D6	288,464
C₃⋊C₈.₂₂D₆	11^st non-split extension by C₃⋊C₈ of D₆ acting via D₆/S₃=C₂	48	4	C3:C8.22D6	288,465
C₂×C₁₂.₃₁D₆	Direct product of C₂ and C₁₂.₃₁D₆	48		C2xC12.31D6	288,468
D₁₂.₃₀D₆	5^th non-split extension by D₁₂ of D₆ acting via D₆/C₆=C₂	48	4	D12.30D6	288,470
D₁₂⋊₂₀D₆	4^th semidirect product of D₁₂ and D₆ acting via D₆/C₆=C₂	48	4	D12:20D6	288,471
C₂×C₃⋊D₂₄	Direct product of C₂ and C₃⋊D₂₄	48		C2xC3:D24	288,472
D₁₂.₃₂D₆	7^th non-split extension by D₁₂ of D₆ acting via D₆/C₆=C₂	48	4	D12.32D6	288,475
D₁₂.₂₇D₆	2^nd non-split extension by D₁₂ of D₆ acting via D₆/C₆=C₂	48	4	D12.27D6	288,477
D₁₂.₂₈D₆	3^rd non-split extension by D₁₂ of D₆ acting via D₆/C₆=C₂	48	4	D12.28D6	288,478
D₁₂.₂₉D₆	4^th non-split extension by D₁₂ of D₆ acting via D₆/C₆=C₂	48	4-	D12.29D6	288,479
C₂×C₃²⋊₅SD₁₆	Direct product of C₂ and C₃²⋊₅SD₁₆	48		C2xC3^2:5SD16	288,480
Dic₆.₂₉D₆	3^rd non-split extension by Dic₆ of D₆ acting via D₆/C₆=C₂	48	4	Dic6.29D6	288,481
C₆².₆C₂³	1^st non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.6C2^3	288,484
C₆².₁₈C₂³	13^rd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.18C2^3	288,496
C₆².₁₉C₂³	14^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.19C2^3	288,497
C₆².₂₀C₂³	15^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.20C2^3	288,498
Dic₃.D₁₂	4^th non-split extension by Dic₃ of D₁₂ acting via D₁₂/C₁₂=C₂	48		Dic3.D12	288,500
C₆².₂₃C₂³	18^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.23C2^3	288,501
C₆².₂₄C₂³	19^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.24C2^3	288,502
C₁₂.₂₈D₁₂	28^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/C₆=C₂²	48		C12.28D12	288,512
C₆².₃₅C₂³	30^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.35C2^3	288,513
C₆².₃₈C₂³	33^rd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.38C2^3	288,516
C₁₂.₃₀D₁₂	30^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/C₆=C₂²	48		C12.30D12	288,519
C₆².₄₄C₂³	39^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.44C2^3	288,522
Dic₃⋊₄D₁₂	1^st semidirect product of Dic₃ and D₁₂ acting through Inn(Dic₃)	48		Dic3:4D12	288,528
C₆².₅₁C₂³	46^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.51C2^3	288,529
C₄×C₆.D₆	Direct product of C₄ and C₆.D₆	48		C4xC6.D6	288,530
C₆².₅₃C₂³	48^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.53C2^3	288,531
Dic₃⋊D₁₂	1^st semidirect product of Dic₃ and D₁₂ acting via D₁₂/D₆=C₂	48		Dic3:D12	288,534
C₆².₅₈C₂³	53^rd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.58C2^3	288,536
D₆.D₁₂	5^th non-split extension by D₆ of D₁₂ acting via D₁₂/D₆=C₂	48		D6.D12	288,538
Dic₃⋊₅D₁₂	2^nd semidirect product of Dic₃ and D₁₂ acting through Inn(Dic₃)	48		Dic3:5D12	288,542
C₆².₆₅C₂³	60^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.65C2^3	288,543
C₆².₆₇C₂³	62^nd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.67C2^3	288,545
C₆².₇₀C₂³	65^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.70C2^3	288,548
C₄×C₃⋊D₁₂	Direct product of C₄ and C₃⋊D₁₂	48		C4xC3:D12	288,551
C₆².₇₄C₂³	69^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.74C2^3	288,552
D₆⋊D₁₂	1^st semidirect product of D₆ and D₁₂ acting via D₁₂/C₁₂=C₂	48		D6:D12	288,554
C₆².₇₇C₂³	72^nd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.77C2^3	288,555
C₁₂⋊₇D₁₂	1^st semidirect product of C₁₂ and D₁₂ acting via D₁₂/D₆=C₂	48		C12:7D12	288,557
Dic₃⋊₃D₁₂	2^nd semidirect product of Dic₃ and D₁₂ acting via D₁₂/D₆=C₂	48		Dic3:3D12	288,558
C₁₂⋊D₁₂	1^st semidirect product of C₁₂ and D₁₂ acting via D₁₂/C₆=C₂²	48		C12:D12	288,559
C₆².₈₂C₂³	77^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.82C2^3	288,560
C₁₂⋊₂D₁₂	2^nd semidirect product of C₁₂ and D₁₂ acting via D₁₂/C₆=C₂²	48		C12:2D12	288,564
S₃×D₆⋊C₄	Direct product of S₃ and D₆⋊C₄	48		S3xD6:C4	288,568
C₆².₉₁C₂³	86^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.91C2^3	288,569
D₆⋊₄D₁₂	1^st semidirect product of D₆ and D₁₂ acting via D₁₂/D₆=C₂	48		D6:4D12	288,570
D₆⋊₅D₁₂	2^nd semidirect product of D₆ and D₁₂ acting via D₁₂/D₆=C₂	48		D6:5D12	288,571
S₃×D₄⋊S₃	Direct product of S₃ and D₄⋊S₃	48	8+	S3xD4:S3	288,572
Dic₆⋊₃D₆	3^rd semidirect product of Dic₆ and D₆ acting via D₆/C₃=C₂²	48	8+	Dic6:3D6	288,573
D₁₂.D₆	5^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8-	D12.D6	288,575
S₃×D₄.S₃	Direct product of S₃ and D₄.S₃	48	8-	S3xD4.S3	288,576
Dic₆.₁₉D₆	6^th non-split extension by Dic₆ of D₆ acting via D₆/S₃=C₂	48	8-	Dic6.19D6	288,577
Dic₆.D₆	5^th non-split extension by Dic₆ of D₆ acting via D₆/C₃=C₂²	48	8-	Dic6.D6	288,579
D₁₂⋊₉D₆	3^rd semidirect product of D₁₂ and D₆ acting via D₆/S₃=C₂	48	8-	D12:9D6	288,580
D₁₂.₂₂D₆	7^th non-split extension by D₁₂ of D₆ acting via D₆/S₃=C₂	48	8-	D12.22D6	288,581
D₁₂.₇D₆	7^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8+	D12.7D6	288,582
Dic₆.₂₀D₆	7^th non-split extension by Dic₆ of D₆ acting via D₆/S₃=C₂	48	8+	Dic6.20D6	288,583
D₁₂.₈D₆	8^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8-	D12.8D6	288,584
S₃×Q₈⋊₂S₃	Direct product of S₃ and Q₈⋊₂S₃	48	8+	S3xQ8:2S3	288,586
D₁₂⋊₆D₆	6^th semidirect product of D₁₂ and D₆ acting via D₆/C₃=C₂²	48	8+	D12:6D6	288,587
D₁₂.₉D₆	9^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8-	D12.9D6	288,588
D₁₂.₁₀D₆	10^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8+	D12.10D6	288,589
Dic₆.₉D₆	9^th non-split extension by Dic₆ of D₆ acting via D₆/C₃=C₂²	48	8-	Dic6.9D6	288,592
Dic₆.₁₀D₆	10^th non-split extension by Dic₆ of D₆ acting via D₆/C₃=C₂²	48	8+	Dic6.10D6	288,593
Dic₆.₂₂D₆	9^th non-split extension by Dic₆ of D₆ acting via D₆/S₃=C₂	48	8+	Dic6.22D6	288,596
D₁₂.₁₃D₆	13^rd non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8+	D12.13D6	288,597
D₁₂.₁₄D₆	14^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8+	D12.14D6	288,598
D₁₂.₁₅D₆	15^th non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	48	8-	D12.15D6	288,599
C₆².₉₄C₂³	89^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.94C2^3	288,600
C₆².₉₅C₂³	90^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.95C2^3	288,601
C₆².₉₇C₂³	92^nd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.97C2^3	288,603
C₆².₉₈C₂³	93^rd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.98C2^3	288,604
C₆².₉₉C₂³	94^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.99C2^3	288,605
C₆².₁₀₀C₂³	95^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.100C2^3	288,606
C₆².₁₀₁C₂³	96^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.101C2^3	288,607
C₆².₅₆D₄	40^th non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	48		C6^2.56D4	288,609
C₆².₅₇D₄	41^st non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	48		C6^2.57D4	288,610
C₂×C₆.D₁₂	Direct product of C₂ and C₆.D₁₂	48		C2xC6.D12	288,611
C₆²⋊₃Q₈	1^st semidirect product of C₆² and Q₈ acting via Q₈/C₂=C₂²	48		C6^2:3Q8	288,612
C₆².₆₀D₄	44^th non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	48		C6^2.60D4	288,614
S₃×C₆.D₄	Direct product of S₃ and C₆.D₄	48		S3xC6.D4	288,616
C₆².₁₁₁C₂³	106^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.111C2^3	288,617
C₆².₁₁₂C₂³	107^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.112C2^3	288,618
C₆².₁₁₃C₂³	108^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.113C2^3	288,619
Dic₃×C₃⋊D₄	Direct product of Dic₃ and C₃⋊D₄	48		Dic3xC3:D4	288,620
C₆².₁₁₅C₂³	110^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.115C2^3	288,621
C₆².₁₁₇C₂³	112^nd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.117C2^3	288,623
C₆²⋊₄D₄	1^st semidirect product of C₆² and D₄ acting via D₄/C₂=C₂²	48		C6^2:4D4	288,624
C₆²⋊₅D₄	2^nd semidirect product of C₆² and D₄ acting via D₄/C₂=C₂²	48		C6^2:5D4	288,625
C₆²⋊₆D₄	3^rd semidirect product of C₆² and D₄ acting via D₄/C₂=C₂²	48		C6^2:6D4	288,626
C₆².₁₂₁C₂³	116^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.121C2^3	288,627
C₆²⋊₇D₄	4^th semidirect product of C₆² and D₄ acting via D₄/C₂=C₂²	48		C6^2:7D4	288,628
C₆²⋊₄Q₈	2^nd semidirect product of C₆² and Q₈ acting via Q₈/C₂=C₂²	48		C6^2:4Q8	288,630
C₆².₁₂₅C₂³	120^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	48		C6^2.125C2^3	288,631
C₃×C₄²⋊C₆	Direct product of C₃ and C₄²⋊C₆	48	6	C3xC4^2:C6	288,635
C₃×C₂³.₁₆D₆	Direct product of C₃ and C₂³.₁₆D₆	48		C3xC2^3.16D6	288,648
C₃×Dic₃.D₄	Direct product of C₃ and Dic₃.D₄	48		C3xDic3.D4	288,649
C₃×C₂³.₈D₆	Direct product of C₃ and C₂³.₈D₆	48		C3xC2^3.8D6	288,650
C₃×S₃×C₂²⋊C₄	Direct product of C₃, S₃ and C₂²⋊C₄	48		C3xS3xC2^2:C4	288,651
C₃×Dic₃⋊₄D₄	Direct product of C₃ and Dic₃⋊₄D₄	48		C3xDic3:4D4	288,652
C₃×D₆⋊D₄	Direct product of C₃ and D₆⋊D₄	48		C3xD6:D4	288,653
C₃×C₂³.₉D₆	Direct product of C₃ and C₂³.₉D₆	48		C3xC2^3.9D6	288,654
C₃×Dic₃⋊D₄	Direct product of C₃ and Dic₃⋊D₄	48		C3xDic3:D4	288,655
C₃×C₂³.₁₁D₆	Direct product of C₃ and C₂³.₁₁D₆	48		C3xC2^3.11D6	288,656
C₃×C₂³.₂₁D₆	Direct product of C₃ and C₂³.₂₁D₆	48		C3xC2^3.21D6	288,657
C₃×C₈○D₁₂	Direct product of C₃ and C₈○D₁₂	48	2	C3xC8oD12	288,672
C₃×C₄○D₂₄	Direct product of C₃ and C₄○D₂₄	48	2	C3xC4oD24	288,675
C₃×S₃×M₄(2)	Direct product of C₃, S₃ and M₄(2)	48	4	C3xS3xM4(2)	288,677
C₃×D₁₂.C₄	Direct product of C₃ and D₁₂.C₄	48	4	C3xD12.C4	288,678
C₃×C₈⋊D₆	Direct product of C₃ and C₈⋊D₆	48	4	C3xC8:D6	288,679
C₃×C₈.D₆	Direct product of C₃ and C₈.D₆	48	4	C3xC8.D6	288,680
C₃×S₃×D₈	Direct product of C₃, S₃ and D₈	48	4	C3xS3xD8	288,681
C₃×D₈⋊S₃	Direct product of C₃ and D₈⋊S₃	48	4	C3xD8:S3	288,682
C₃×D₈⋊₃S₃	Direct product of C₃ and D₈⋊₃S₃	48	4	C3xD8:3S3	288,683
C₃×S₃×SD₁₆	Direct product of C₃, S₃ and SD₁₆	48	4	C3xS3xSD16	288,684
C₃×Q₈⋊₃D₆	Direct product of C₃ and Q₈⋊₃D₆	48	4	C3xQ8:3D6	288,685
C₃×D₄.D₆	Direct product of C₃ and D₄.D₆	48	4	C3xD4.D6	288,686
C₃×Q₈.₇D₆	Direct product of C₃ and Q₈.₇D₆	48	4	C3xQ8.7D6	288,687
C₆×C₄.Dic₃	Direct product of C₆ and C₄.Dic₃	48		C6xC4.Dic3	288,692
C₃×C₁₂.₄₈D₄	Direct product of C₃ and C₁₂.₄₈D₄	48		C3xC12.48D4	288,695
C₃×C₂³.₂₆D₆	Direct product of C₃ and C₂³.₂₆D₆	48		C3xC2^3.26D6	288,697
C₁₂×C₃⋊D₄	Direct product of C₁₂ and C₃⋊D₄	48		C12xC3:D4	288,699
C₃×C₂³.₂₈D₆	Direct product of C₃ and C₂³.₂₈D₆	48		C3xC2^3.28D6	288,700
C₃×C₁₂⋊₇D₄	Direct product of C₃ and C₁₂⋊₇D₄	48		C3xC12:7D4	288,701
C₆×D₄⋊S₃	Direct product of C₆ and D₄⋊S₃	48		C6xD4:S3	288,702
C₆×D₄.S₃	Direct product of C₆ and D₄.S₃	48		C6xD4.S3	288,704
C₃×D₄×Dic₃	Direct product of C₃, D₄ and Dic₃	48		C3xD4xDic3	288,705
C₃×C₂³.₂₃D₆	Direct product of C₃ and C₂³.₂₃D₆	48		C3xC2^3.23D6	288,706
C₃×C₂³.₁₂D₆	Direct product of C₃ and C₂³.₁₂D₆	48		C3xC2^3.12D6	288,707
C₃×C₂³⋊₂D₆	Direct product of C₃ and C₂³⋊₂D₆	48		C3xC2^3:2D6	288,708
C₃×D₆⋊₃D₄	Direct product of C₃ and D₆⋊₃D₄	48		C3xD6:3D4	288,709
C₃×C₂³.₁₄D₆	Direct product of C₃ and C₂³.₁₄D₆	48		C3xC2^3.14D6	288,710
C₃×C₁₂⋊₃D₄	Direct product of C₃ and C₁₂⋊₃D₄	48		C3xC12:3D4	288,711
C₃×Q₈.₁₁D₆	Direct product of C₃ and Q₈.₁₁D₆	48	4	C3xQ8.11D6	288,713
C₃×D₄.Dic₃	Direct product of C₃ and D₄.Dic₃	48	4	C3xD4.Dic3	288,719
C₃×D₄⋊D₆	Direct product of C₃ and D₄⋊D₆	48	4	C3xD4:D6	288,720
C₃×Q₈.₁₃D₆	Direct product of C₃ and Q₈.₁₃D₆	48	4	C3xQ8.13D6	288,721
C₃×Q₈.₁₄D₆	Direct product of C₃ and Q₈.₁₄D₆	48	4	C3xQ8.14D6	288,722
C₆×C₆.D₄	Direct product of C₆ and C₆.D₄	48		C6xC6.D4	288,723
Dic₃.₄S₄	1^st non-split extension by Dic₃ of S₄ acting through Inn(Dic₃)	48	4	Dic3.4S4	288,845
Dic₃.₅S₄	2^nd non-split extension by Dic₃ of S₄ acting through Inn(Dic₃)	48	4+	Dic3.5S4	288,846
GL₂(𝔽₃)⋊S₃	1^st semidirect product of GL₂(𝔽₃) and S₃ acting via S₃/C₃=C₂	48	4+	GL(2,3):S3	288,847
S₃×CSU₂(𝔽₃)	Direct product of S₃ and CSU₂(𝔽₃)	48	4-	S3xCSU(2,3)	288,848
D₆.S₄	1^st non-split extension by D₆ of S₄ acting via S₄/A₄=C₂	48	4-	D6.S4	288,849
D₆.₂S₄	2^nd non-split extension by D₆ of S₄ acting via S₄/A₄=C₂	48	4	D6.2S4	288,850
C₄.₃F₉	2^nd central extension by C₄ of F₉	48	8	C4.3F9	288,861
C₄.F₉	The non-split extension by C₄ of F₉ acting via F₉/C₃²⋊C₄=C₂	48	8	C4.F9	288,862
C₂².F₉	The non-split extension by C₂² of F₉ acting via F₉/C₃²⋊C₄=C₂	48	8-	C2^2.F9	288,866
C₃²⋊C₄⋊Q₈	1^st semidirect product of C₃²⋊C₄ and Q₈ acting via Q₈/C₄=C₂	48	8-	C3^2:C4:Q8	288,870
C₃²⋊D₈⋊₅C₂	The semidirect product of C₃²⋊D₈ and C₂ acting through Inn(C₃²⋊D₈)	48	4	C3^2:D8:5C2	288,871
C₃²⋊Q₁₆⋊C₂	1^st semidirect product of C₃²⋊Q₁₆ and C₂ acting faithfully	48	4	C3^2:Q16:C2	288,874
C₃⋊S₃⋊Q₁₆	The semidirect product of C₃⋊S₃ and Q₁₆ acting via Q₁₆/C₄=C₂²	48	8-	C3:S3:Q16	288,876
C₂×C₃⋊S₃.Q₈	Direct product of C₂ and C₃⋊S₃.Q₈	48		C2xC3:S3.Q8	288,882
C₂×C₃²⋊D₈	Direct product of C₂ and C₃²⋊D₈	48		C2xC3^2:D8	288,883
C₆².₁₃D₄	13^rd non-split extension by C₆² of D₄ acting faithfully	48	8-	C6^2.13D4	288,885
C₂×C₃²⋊₂SD₁₆	Direct product of C₂ and C₃²⋊₂SD₁₆	48		C2xC3^2:2SD16	288,886
C₆².₁₅D₄	15^th non-split extension by C₆² of D₄ acting faithfully	48	4-	C6^2.15D4	288,887
C₄.₃PSU₃(𝔽₂)	3^rd non-split extension by C₄ of PSU₃(𝔽₂) acting via PSU₃(𝔽₂)/C₃²⋊C₄=C₂	48	8	C4.3PSU(3,2)	288,891
C₂×C₂.PSU₃(𝔽₂)	Direct product of C₂ and C₂.PSU₃(𝔽₂)	48		C2xC2.PSU(3,2)	288,894
C₆×GL₂(𝔽₃)	Direct product of C₆ and GL₂(𝔽₃)	48		C6xGL(2,3)	288,900
C₃×Q₈.D₆	Direct product of C₃ and Q₈.D₆	48	4	C3xQ8.D6	288,901
C₃×C₄.₆S₄	Direct product of C₃ and C₄.₆S₄	48	2	C3xC4.6S4	288,903
C₃×C₄.₃S₄	Direct product of C₃ and C₄.₃S₄	48	4	C3xC4.3S4	288,904
C₂×C₆.₆S₄	Direct product of C₂ and C₆.₆S₄	48		C2xC6.6S4	288,911
SL₂(𝔽₃).D₆	2^nd non-split extension by SL₂(𝔽₃) of D₆ acting via D₆/C₆=C₂	48	4	SL(2,3).D6	288,912
C₁₂.₁₄S₄	14^th non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	48	4	C12.14S4	288,914
C₁₂.₇S₄	7^th non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	48	4+	C12.7S4	288,915
C₂×S₃×SL₂(𝔽₃)	Direct product of C₂, S₃ and SL₂(𝔽₃)	48		C2xS3xSL(2,3)	288,922
SL₂(𝔽₃).₁₁D₆	1^st non-split extension by SL₂(𝔽₃) of D₆ acting through Inn(SL₂(𝔽₃))	48	4	SL(2,3).11D6	288,923
S₃×C₄.A₄	Direct product of S₃ and C₄.A₄	48	4	S3xC4.A4	288,925
D₁₂.A₄	The non-split extension by D₁₂ of A₄ acting through Inn(D₁₂)	48	4-	D12.A4	288,926
C₂×C₃⋊S₃⋊₃C₈	Direct product of C₂ and C₃⋊S₃⋊₃C₈	48		C2xC3:S3:3C8	288,929
C₂×C₃²⋊M₄(2)	Direct product of C₂ and C₃²⋊M₄(2)	48		C2xC3^2:M4(2)	288,930
C₂×C₄×C₃²⋊C₄	Direct product of C₂×C₄ and C₃²⋊C₄	48		C2xC4xC3^2:C4	288,932
C₂×C₄⋊(C₃²⋊C₄)	Direct product of C₂ and C₄⋊(C₃²⋊C₄)	48		C2xC4:(C3^2:C4)	288,933
C₆².(C₂×C₄)	The non-split extension by C₆² of C₂×C₄ acting faithfully	48	8-	C6^2.(C2xC4)	288,935
C₁₂⋊S₃.C₄	The non-split extension by C₁₂⋊S₃ of C₄ acting faithfully	48	8+	C12:S3.C4	288,937
Q₈×C₃²⋊C₄	Direct product of Q₈ and C₃²⋊C₄	48	8-	Q8xC3^2:C4	288,938
C₂×C₆².C₄	Direct product of C₂ and C₆².C₄	48		C2xC6^2.C4	288,940
C₂×D₁₂⋊S₃	Direct product of C₂ and D₁₂⋊S₃	48		C2xD12:S3	288,944
D₁₂.₃₃D₆	8^th non-split extension by D₁₂ of D₆ acting via D₆/C₆=C₂	48	4	D12.33D6	288,945
D₁₂.₃₄D₆	The non-split extension by D₁₂ of D₆ acting through Inn(D₁₂)	48	4-	D12.34D6	288,946
C₂×Dic₃.D₆	Direct product of C₂ and Dic₃.D₆	48		C2xDic3.D6	288,947
C₂×D₆.D₆	Direct product of C₂ and D₆.D₆	48		C2xD6.D6	288,948
C₂×D₆.₆D₆	Direct product of C₂ and D₆.₆D₆	48		C2xD6.6D6	288,949
S₃²×C₂×C₄	Direct product of C₂×C₄, S₃ and S₃	48		S3^2xC2xC4	288,950
C₂×S₃×D₁₂	Direct product of C₂, S₃ and D₁₂	48		C2xS3xD12	288,951
C₂×D₆⋊D₆	Direct product of C₂ and D₆⋊D₆	48		C2xD6:D6	288,952
S₃×C₄○D₁₂	Direct product of S₃ and C₄○D₁₂	48	4	S3xC4oD12	288,953
D₁₂⋊₂₄D₆	8^th semidirect product of D₁₂ and D₆ acting via D₆/C₆=C₂	48	4	D12:24D6	288,955
Dic₆.₂₄D₆	11^st non-split extension by Dic₆ of D₆ acting via D₆/S₃=C₂	48	8-	Dic6.24D6	288,957
S₃×D₄⋊₂S₃	Direct product of S₃ and D₄⋊₂S₃	48	8-	S3xD4:2S3	288,959
D₁₂⋊₁₂D₆	6^th semidirect product of D₁₂ and D₆ acting via D₆/S₃=C₂	48	8-	D12:12D6	288,961
D₁₂.₂₅D₆	10^th non-split extension by D₁₂ of D₆ acting via D₆/S₃=C₂	48	8-	D12.25D6	288,963
Dic₆.₂₆D₆	13^rd non-split extension by Dic₆ of D₆ acting via D₆/S₃=C₂	48	8+	Dic6.26D6	288,964
S₃²×Q₈	Direct product of S₃, S₃ and Q₈	48	8-	S3^2xQ8	288,965
S₃×Q₈⋊₃S₃	Direct product of S₃ and Q₈⋊₃S₃	48	8+	S3xQ8:3S3	288,966
D₁₂⋊₁₅D₆	9^th semidirect product of D₁₂ and D₆ acting via D₆/S₃=C₂	48	8-	D12:15D6	288,967
D₁₂⋊₁₆D₆	10^th semidirect product of D₁₂ and D₆ acting via D₆/S₃=C₂	48	8+	D12:16D6	288,968
C₂×D₆.₃D₆	Direct product of C₂ and D₆.₃D₆	48		C2xD6.3D6	288,970
C₂×D₆.₄D₆	Direct product of C₂ and D₆.₄D₆	48		C2xD6.4D6	288,971
C₂²×C₆.D₆	Direct product of C₂² and C₆.D₆	48		C2^2xC6.D6	288,972
C₂²×C₃⋊D₁₂	Direct product of C₂² and C₃⋊D₁₂	48		C2^2xC3:D12	288,974
C₂×S₃×C₃⋊D₄	Direct product of C₂, S₃ and C₃⋊D₄	48		C2xS3xC3:D4	288,976
C₃×D₄.A₄	Direct product of C₃ and D₄.A₄	48	4	C3xD4.A4	288,985
C₆×C₄○D₁₂	Direct product of C₆ and C₄○D₁₂	48		C6xC4oD12	288,991
S₃×C₆×D₄	Direct product of C₆, S₃ and D₄	48		S3xC6xD4	288,992
C₆×D₄⋊₂S₃	Direct product of C₆ and D₄⋊₂S₃	48		C6xD4:2S3	288,993
C₃×Q₈.₁₅D₆	Direct product of C₃ and Q₈.₁₅D₆	48	4	C3xQ8.15D6	288,997
C₃×S₃×C₄○D₄	Direct product of C₃, S₃ and C₄○D₄	48	4	C3xS3xC4oD4	288,998
C₃×D₄○D₁₂	Direct product of C₃ and D₄○D₁₂	48	4	C3xD4oD12	288,999
C₃×Q₈○D₁₂	Direct product of C₃ and Q₈○D₁₂	48	4	C3xQ8oD12	288,1000
C₂×C₆×C₃⋊D₄	Direct product of C₂×C₆ and C₃⋊D₄	48		C2xC6xC3:D4	288,1002
C₂³×C₃²⋊C₄	Direct product of C₂³ and C₃²⋊C₄	48		C2^3xC3^2:C4	288,1039
S₃²×C₂³	Direct product of C₂³, S₃ and S₃	48		S3^2xC2^3	288,1040

Groups of order 432

		d	ρ	Label	ID
C₃×C₃²⋊₂C₁₆	Direct product of C₃ and C₃²⋊₂C₁₆	48	4	C3xC3^2:2C16	432,412
C₃³⋊₄C₁₆	2^nd semidirect product of C₃³ and C₁₆ acting via C₁₆/C₄=C₄	48	4	C3^3:4C16	432,413
C₃×S₃×C₃⋊C₈	Direct product of C₃, S₃ and C₃⋊C₈	48	4	C3xS3xC3:C8	432,414
C₃×C₁₂.₂₉D₆	Direct product of C₃ and C₁₂.₂₉D₆	48	4	C3xC12.29D6	432,415
C₃×D₆.Dic₃	Direct product of C₃ and D₆.Dic₃	48	4	C3xD6.Dic3	432,416
C₃×C₁₂.₃₁D₆	Direct product of C₃ and C₁₂.₃₁D₆	48	4	C3xC12.31D6	432,417
C₃×C₃²⋊₂D₈	Direct product of C₃ and C₃²⋊₂D₈	48	4	C3xC3^2:2D8	432,418
C₃×C₃⋊D₂₄	Direct product of C₃ and C₃⋊D₂₄	48	4	C3xC3:D24	432,419
C₃×Dic₆⋊S₃	Direct product of C₃ and Dic₆⋊S₃	48	4	C3xDic6:S3	432,420
C₃×D₁₂.S₃	Direct product of C₃ and D₁₂.S₃	48	4	C3xD12.S3	432,421
C₃×C₃²⋊₅SD₁₆	Direct product of C₃ and C₃²⋊₅SD₁₆	48	4	C3xC3^2:5SD16	432,422
C₃×C₃²⋊₂Q₁₆	Direct product of C₃ and C₃²⋊₂Q₁₆	48	4	C3xC3^2:2Q16	432,423
C₃×C₃²⋊₃Q₁₆	Direct product of C₃ and C₃²⋊₃Q₁₆	48	4	C3xC3^2:3Q16	432,424
C₃×Dic₃²	Direct product of C₃, Dic₃ and Dic₃	48		C3xDic3^2	432,425
C₃×D₆⋊Dic₃	Direct product of C₃ and D₆⋊Dic₃	48		C3xD6:Dic3	432,426
C₃×C₆.D₁₂	Direct product of C₃ and C₆.D₁₂	48		C3xC6.D12	432,427
C₃×Dic₃⋊Dic₃	Direct product of C₃ and Dic₃⋊Dic₃	48		C3xDic3:Dic3	432,428
C₃×C₆².C₂²	Direct product of C₃ and C₆².C₂²	48		C3xC6^2.C2^2	432,429
C₁₂.₉₃S₃²	13^rd non-split extension by C₁₂ of S₃² acting via S₃²/C₃⋊S₃=C₂	48	4	C12.93S3^2	432,455
C₃³⋊₁₀M₄(2)	6^th semidirect product of C₃³ and M₄(2) acting via M₄(2)/C₄=C₂²	48	4	C3^3:10M4(2)	432,456
C₃³⋊₉D₈	6^th semidirect product of C₃³ and D₈ acting via D₈/C₄=C₂²	48	4	C3^3:9D8	432,457
C₃³⋊₁₈SD₁₆	10^th semidirect product of C₃³ and SD₁₆ acting via SD₁₆/C₄=C₂²	48	4	C3^3:18SD16	432,458
C₃³⋊₉Q₁₆	6^th semidirect product of C₃³ and Q₁₆ acting via Q₁₆/C₄=C₂²	48	4	C3^3:9Q16	432,459
C₃³⋊₆C₄²	3^rd semidirect product of C₃³ and C₄² acting via C₄²/C₂²=C₂²	48		C3^3:6C4^2	432,460
C₆².₈₄D₆	32^nd non-split extension by C₆² of D₆ acting via D₆/C₃=C₂²	48		C6^2.84D6	432,461
C₆².₈₅D₆	33^rd non-split extension by C₆² of D₆ acting via D₆/C₃=C₂²	48		C6^2.85D6	432,462
C₃×C₂.F₉	Direct product of C₃ and C₂.F₉	48	8	C3xC2.F9	432,565
C₆.F₉	3^rd non-split extension by C₆ of F₉ acting via F₉/C₃²⋊C₄=C₂	48	8	C6.F9	432,566
Dic₃×C₃²⋊C₄	Direct product of Dic₃ and C₃²⋊C₄	48	8-	Dic3xC3^2:C4	432,567
C₃³⋊(C₄⋊C₄)	The semidirect product of C₃³ and C₄⋊C₄ acting via C₄⋊C₄/C₂=C₂×C₄	48	8-	C3^3:(C4:C4)	432,569
S₃×C₃²⋊₂C₈	Direct product of S₃ and C₃²⋊₂C₈	48	8-	S3xC3^2:2C8	432,570
C₃³⋊M₄(2)	1^st semidirect product of C₃³ and M₄(2) acting via M₄(2)/C₂=C₂×C₄	48	8-	C3^3:M4(2)	432,572
C₃×C₃⋊S₃.Q₈	Direct product of C₃ and C₃⋊S₃.Q₈	48	4	C3xC3:S3.Q8	432,575
C₃×C₃²⋊Q₁₆	Direct product of C₃ and C₃²⋊Q₁₆	48	4	C3xC3^2:Q16	432,578
C₃³⋊C₄⋊C₄	2^nd semidirect product of C₃³⋊C₄ and C₄ acting via C₄/C₂=C₂	48	4	C3^3:C4:C4	432,581
C₃³⋊Q₁₆	2^nd semidirect product of C₃³ and Q₁₆ acting via Q₁₆/C₂=D₄	48	4	C3^3:Q16	432,585
(C₃×C₆).₉D₁₂	2^nd non-split extension by C₃×C₆ of D₁₂ acting via D₁₂/C₃=D₄	48	8-	(C3xC6).9D12	432,587
C₃³⋊₃Q₁₆	3^rd semidirect product of C₃³ and Q₁₆ acting via Q₁₆/C₂=D₄	48	8-	C3^3:3Q16	432,590
C₃×C₂.PSU₃(𝔽₂)	Direct product of C₃ and C₂.PSU₃(𝔽₂)	48	8	C3xC2.PSU(3,2)	432,591
C₆.PSU₃(𝔽₂)	1^st non-split extension by C₆ of PSU₃(𝔽₂) acting via PSU₃(𝔽₂)/C₃²⋊C₄=C₂	48	8	C6.PSU(3,2)	432,592
C₆.₂PSU₃(𝔽₂)	2^nd non-split extension by C₆ of PSU₃(𝔽₂) acting via PSU₃(𝔽₂)/C₃²⋊C₄=C₂	48	8	C6.2PSU(3,2)	432,593
S₃²×Dic₃	Direct product of S₃, S₃ and Dic₃	48	8-	S3^2xDic3	432,594
Dic₃⋊₆S₃²	2^nd semidirect product of Dic₃ and S₃² acting through Inn(Dic₃)	48	8-	Dic3:6S3^2	432,596
S₃×D₆⋊S₃	Direct product of S₃ and D₆⋊S₃	48	8-	S3xD6:S3	432,597
D₆⋊S₃²	3^rd semidirect product of D₆ and S₃² acting via S₃²/C₃×S₃=C₂	48	8-	D6:S3^2	432,600
S₃×C₃²⋊₂Q₈	Direct product of S₃ and C₃²⋊₂Q₈	48	8-	S3xC3^2:2Q8	432,603
C₃³⋊₅(C₂×Q₈)	2^nd semidirect product of C₃³ and C₂×Q₈ acting via C₂×Q₈/C₂=C₂³	48	8-	C3^3:5(C2xQ8)	432,604
D₆.S₃²	2^nd non-split extension by D₆ of S₃² acting via S₃²/C₃×S₃=C₂	48	8-	D6.S3^2	432,607
D₆.₄S₃²	1^st non-split extension by D₆ of S₃² acting via S₃²/C₃⋊S₃=C₂	48	8-	D6.4S3^2	432,608
D₆⋊S₃⋊S₃	5^th semidirect product of D₆⋊S₃ and S₃ acting via S₃/C₃=C₂	48	8-	D6:S3:S3	432,610
D₆.₆S₃²	3^rd non-split extension by D₆ of S₃² acting via S₃²/C₃⋊S₃=C₂	48	8-	D6.6S3^2	432,611
C₃×C₆.₅S₄	Direct product of C₃ and C₆.₅S₄	48	4	C3xC6.5S4	432,616
C₃×C₆.₆S₄	Direct product of C₃ and C₆.₆S₄	48	4	C3xC6.6S4	432,617
C₃×Dic₃.A₄	Direct product of C₃ and Dic₃.A₄	48	4	C3xDic3.A4	432,622
C₃×S₃×SL₂(𝔽₃)	Direct product of C₃, S₃ and SL₂(𝔽₃)	48	4	C3xS3xSL(2,3)	432,623
C₃×C₃⋊S₃⋊₃C₈	Direct product of C₃ and C₃⋊S₃⋊₃C₈	48	4	C3xC3:S3:3C8	432,628
C₃×C₃²⋊M₄(2)	Direct product of C₃ and C₃²⋊M₄(2)	48	4	C3xC3^2:M4(2)	432,629
C₁₂×C₃²⋊C₄	Direct product of C₁₂ and C₃²⋊C₄	48	4	C12xC3^2:C4	432,630
C₃×C₄⋊(C₃²⋊C₄)	Direct product of C₃ and C₄⋊(C₃²⋊C₄)	48	4	C3xC4:(C3^2:C4)	432,631
C₆×C₃²⋊₂C₈	Direct product of C₆ and C₃²⋊₂C₈	48		C6xC3^2:2C8	432,632
C₃³⋊₇(C₂×C₈)	2^nd semidirect product of C₃³ and C₂×C₈ acting via C₂×C₈/C₄=C₄	48	4	C3^3:7(C2xC8)	432,635
C₃³⋊₄M₄(2)	2^nd semidirect product of C₃³ and M₄(2) acting via M₄(2)/C₄=C₄	48	4	C3^3:4M4(2)	432,636
C₄×C₃³⋊C₄	Direct product of C₄ and C₃³⋊C₄	48	4	C4xC3^3:C4	432,637
C₃³⋊₉(C₄⋊C₄)	2^nd semidirect product of C₃³ and C₄⋊C₄ acting via C₄⋊C₄/C₄=C₄	48	4	C3^3:9(C4:C4)	432,638
C₂×C₃³⋊₄C₈	Direct product of C₂ and C₃³⋊₄C₈	48		C2xC3^3:4C8	432,639
C₃×S₃×Dic₆	Direct product of C₃, S₃ and Dic₆	48	4	C3xS3xDic6	432,642
C₃×D₁₂⋊₅S₃	Direct product of C₃ and D₁₂⋊₅S₃	48	4	C3xD12:5S3	432,643
C₃×D₁₂⋊S₃	Direct product of C₃ and D₁₂⋊S₃	48	4	C3xD12:S3	432,644
C₃×Dic₃.D₆	Direct product of C₃ and Dic₃.D₆	48	4	C3xDic3.D6	432,645
C₃×D₆.D₆	Direct product of C₃ and D₆.D₆	48	4	C3xD6.D6	432,646
C₃×D₆.₆D₆	Direct product of C₃ and D₆.₆D₆	48	4	C3xD6.6D6	432,647
S₃²×C₁₂	Direct product of C₁₂, S₃ and S₃	48	4	S3^2xC12	432,648
C₃×S₃×D₁₂	Direct product of C₃, S₃ and D₁₂	48	4	C3xS3xD12	432,649
C₃×D₆⋊D₆	Direct product of C₃ and D₆⋊D₆	48	4	C3xD6:D6	432,650
S₃×C₆×Dic₃	Direct product of C₆, S₃ and Dic₃	48		S3xC6xDic3	432,651
C₆×C₆.D₆	Direct product of C₆ and C₆.D₆	48		C6xC6.D6	432,654
C₆×D₆⋊S₃	Direct product of C₆ and D₆⋊S₃	48		C6xD6:S3	432,655
C₆×C₃⋊D₁₂	Direct product of C₆ and C₃⋊D₁₂	48		C6xC3:D12	432,656
C₆×C₃²⋊₂Q₈	Direct product of C₆ and C₃²⋊₂Q₈	48		C6xC3^2:2Q8	432,657
C₃⋊S₃⋊₄Dic₆	The semidirect product of C₃⋊S₃ and Dic₆ acting via Dic₆/C₁₂=C₂	48	4	C3:S3:4Dic6	432,687
C₁₂⋊S₃⋊₁₂S₃	6^th semidirect product of C₁₂⋊S₃ and S₃ acting via S₃/C₃=C₂	48	4	C12:S3:12S3	432,688
C₁₂.₉₅S₃²	15^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃⋊S₃=C₂	48	4	C12.95S3^2	432,689
C₄×C₃²⋊₄D₆	Direct product of C₄ and C₃²⋊₄D₆	48	4	C4xC3^2:4D6	432,690
C₁₂⋊₃S₃²	3^rd semidirect product of C₁₂ and S₃² acting via S₃²/C₃²=C₂²	48	4	C12:3S3^2	432,691
C₂×C₃³⋊₉(C₂×C₄)	Direct product of C₂ and C₃³⋊₉(C₂×C₄)	48		C2xC3^3:9(C2xC4)	432,692
C₂×C₃³⋊₉D₄	Direct product of C₂ and C₃³⋊₉D₄	48		C2xC3^3:9D4	432,694
C₂×C₃³⋊₅Q₈	Direct product of C₂ and C₃³⋊₅Q₈	48		C2xC3^3:5Q8	432,695
C₆×F₉	Direct product of C₆ and F₉	48	8	C6xF9	432,751
C₂×C₃⋊F₉	Direct product of C₂ and C₃⋊F₉	48	8	C2xC3:F9	432,752
C₆×PSU₃(𝔽₂)	Direct product of C₆ and PSU₃(𝔽₂)	48	8	C6xPSU(3,2)	432,757
C₂×C₃³⋊Q₈	Direct product of C₂ and C₃³⋊Q₈	48	8	C2xC3^3:Q8	432,758
C₂×C₆×C₃²⋊C₄	Direct product of C₂×C₆ and C₃²⋊C₄	48		C2xC6xC3^2:C4	432,765
C₂²×C₃³⋊C₄	Direct product of C₂² and C₃³⋊C₄	48		C2^2xC3^3:C4	432,766
S₃²×C₂×C₆	Direct product of C₂×C₆, S₃ and S₃	48		S3^2xC2xC6	432,767
C₂²×C₃²⋊₄D₆	Direct product of C₂² and C₃²⋊₄D₆	48		C2^2xC3^2:4D6	432,769

Groups of order 480

		d	ρ	Label	ID
C₈.A₅	The central extension by C₈ of A₅	48	2	C8.A5	480,221
C₄.₆S₅	3^rd central extension by C₄ of S₅	48	4	C4.6S5	480,946
C₄.S₅	2^nd non-split extension by C₄ of S₅ acting via S₅/A₅=C₂	48	4	C4.S5	480,947
C₂².S₅	The non-split extension by C₂² of S₅ acting via S₅/A₅=C₂	48	4-	C2^2.S5	480,953
C₂×C₄.A₅	Direct product of C₂ and C₄.A₅	48		C2xC4.A5	480,955
D₄.A₅	The non-split extension by D₄ of A₅ acting through Inn(D₄)	48	4-	D4.A5	480,957
Q₈.A₅	The non-split extension by Q₈ of A₅ acting through Inn(Q₈)	48	4+	Q8.A5	480,959

On 49 points

Groups of order 49

		d	ρ	Label	ID
C₄₉	Cyclic group	49	1	C49	49,1
C₇²	Elementary abelian group of type [7,7]	49		C7^2	49,2

Groups of order 98

		d	ρ	Label	ID
D₄₉	Dihedral group	49	2+	D49	98,1
C₇⋊D₇	The semidirect product of C₇ and D₇ acting via D₇/C₇=C₂	49		C7:D7	98,4

Groups of order 147

		d	ρ	Label	ID
C₄₉⋊C₃	The semidirect product of C₄₉ and C₃ acting faithfully	49	3	C49:C3	147,1
C₇²⋊C₃	2^nd semidirect product of C₇² and C₃ acting faithfully	49		C7^2:C3	147,4

Groups of order 294

		d	ρ	Label	ID
C₄₉⋊C₆	The semidirect product of C₄₉ and C₆ acting faithfully	49	6+	C49:C6	294,1
C₇⋊F₇	1^st semidirect product of C₇ and F₇ acting via F₇/C₇=C₆	49		C7:F7	294,13

Groups of order 343

		d	ρ	Label	ID
He₇	Heisenberg group; = C₇² ⋊C₇ = 7₊¹⁺²	49	7	He7	343,3
7_-¹⁺²	Extraspecial group	49	7	ES-(7,1)	343,4

On 50 points

Groups of order 50

		d	ρ	Label	ID
C₅₀	Cyclic group	50	1	C50	50,2
C₅×C₁₀	Abelian group of type [5,10]	50		C5xC10	50,5

Groups of order 100

		d	ρ	Label	ID
D₅₀	Dihedral group; = C₂×D₂₅	50	2+	D50	100,4
C₂×C₅⋊D₅	Direct product of C₂ and C₅⋊D₅	50		C2xC5:D5	100,15

Groups of order 200

		d	ρ	Label	ID
C₂×C₂₅⋊C₄	Direct product of C₂ and C₂₅⋊C₄	50	4+	C2xC25:C4	200,12
C₂×C₅⋊F₅	Direct product of C₂ and C₅⋊F₅	50		C2xC5:F5	200,47

Groups of order 250

		d	ρ	Label	ID
C₅×D₂₅	Direct product of C₅ and D₂₅	50	2	C5xD25	250,3
D₅×C₂₅	Direct product of C₂₅ and D₅	50	2	D5xC25	250,4
C₂×He₅	Direct product of C₂ and He₅	50	5	C2xHe5	250,10
C₂×5_-¹⁺²	Direct product of C₂ and 5_-¹⁺²	50	5	C2xES-(5,1)	250,11
D₅×C₅²	Direct product of C₅² and D₅	50		D5xC5^2	250,12
C₅×C₅⋊D₅	Direct product of C₅ and C₅⋊D₅	50		C5xC5:D5	250,13

Groups of order 400

		d	ρ	Label	ID
C₂⁴⋊C₂₅	The semidirect product of C₂⁴ and C₂₅ acting via C₂₅/C₅=C₅	50	5	C2^4:C25	400,52
C₅×C₂⁴⋊C₅	Direct product of C₅ and C₂⁴⋊C₅	50	5	C5xC2^4:C5	400,213

Groups of order 500

		d	ρ	Label	ID
C₂₅⋊₂F₅	2^nd semidirect product of C₂₅ and F₅ acting via F₅/C₅=C₄	50	4+	C25:2F5	500,24
D₅×D₂₅	Direct product of D₅ and D₂₅	50	4+	D5xD25	500,26
C₂×C₅²⋊C₁₀	Direct product of C₂ and C₅²⋊C₁₀	50	10+	C2xC5^2:C10	500,30
C₂×C₂₅⋊C₁₀	Direct product of C₂ and C₂₅⋊C₁₀	50	10+	C2xC25:C10	500,31
C₂×He₅⋊C₂	Direct product of C₂ and He₅⋊C₂	50	5	C2xHe5:C2	500,33
C₅³⋊₉C₄	9^th semidirect product of C₅³ and C₄ acting faithfully	50		C5^3:9C4	500,49
D₅×C₅⋊D₅	Direct product of D₅ and C₅⋊D₅	50		D5xC5:D5	500,51

On 51 points

Groups of order 51

		d	ρ	Label	ID
C₅₁	Cyclic group	51	1	C51	51,1

Groups of order 102

		d	ρ	Label	ID
S₃×C₁₇	Direct product of C₁₇ and S₃	51	2	S3xC17	102,1
C₃×D₁₇	Direct product of C₃ and D₁₇	51	2	C3xD17	102,2
D₅₁	Dihedral group	51	2+	D51	102,3

Groups of order 204

		d	ρ	Label	ID
C₃×C₁₇⋊C₄	Direct product of C₃ and C₁₇⋊C₄	51	4	C3xC17:C4	204,5
C₅₁⋊C₄	1^st semidirect product of C₅₁ and C₄ acting faithfully	51	4	C51:C4	204,6
S₃×D₁₇	Direct product of S₃ and D₁₇	51	4+	S3xD17	204,7

Groups of order 408

		d	ρ	Label	ID
C₃×C₁₇⋊C₈	Direct product of C₃ and C₁₇⋊C₈	51	8	C3xC17:C8	408,33
C₅₁⋊C₈	1^st semidirect product of C₅₁ and C₈ acting faithfully	51	8	C51:C8	408,34
S₃×C₁₇⋊C₄	Direct product of S₃ and C₁₇⋊C₄	51	8+	S3xC17:C4	408,35

On 52 points

Groups of order 52

		d	ρ	Label	ID
Dic₁₃	Dicyclic group; = C₁₃ ⋊₂ C₄	52	2-	Dic13	52,1
C₅₂	Cyclic group	52	1	C52	52,2
C₂×C₂₆	Abelian group of type [2,26]	52		C2xC26	52,5

Groups of order 104

		d	ρ	Label	ID
C₄×D₁₃	Direct product of C₄ and D₁₃	52	2	C4xD13	104,5
D₅₂	Dihedral group	52	2+	D52	104,6
C₁₃⋊D₄	The semidirect product of C₁₃ and D₄ acting via D₄/C₂²=C₂	52	2	C13:D4	104,8
D₄×C₁₃	Direct product of C₁₃ and D₄	52	2	D4xC13	104,10
C₂²×D₁₃	Direct product of C₂² and D₁₃	52		C2^2xD13	104,13

Groups of order 156

		d	ρ	Label	ID
C₂₆.C₆	The non-split extension by C₂₆ of C₆ acting faithfully	52	6-	C26.C6	156,1
C₄×C₁₃⋊C₃	Direct product of C₄ and C₁₃⋊C₃	52	3	C4xC13:C3	156,2
C₂²×C₁₃⋊C₃	Direct product of C₂² and C₁₃⋊C₃	52		C2^2xC13:C3	156,12
A₄×C₁₃	Direct product of C₁₃ and A₄	52	3	A4xC13	156,13
C₁₃⋊A₄	The semidirect product of C₁₃ and A₄ acting via A₄/C₂²=C₃	52	3	C13:A4	156,14

Groups of order 208

		d	ρ	Label	ID
C₄×C₁₃⋊C₄	Direct product of C₄ and C₁₃⋊C₄	52	4	C4xC13:C4	208,30
C₅₂⋊C₄	1^st semidirect product of C₅₂ and C₄ acting faithfully	52	4	C52:C4	208,31
D₁₃.D₄	The non-split extension by D₁₃ of D₄ acting via D₄/C₂²=C₂	52	4+	D13.D4	208,34
D₄×D₁₃	Direct product of D₄ and D₁₃	52	4+	D4xD13	208,39
C₂²×C₁₃⋊C₄	Direct product of C₂² and C₁₃⋊C₄	52		C2^2xC13:C4	208,49

Groups of order 312

		d	ρ	Label	ID
C₄×C₁₃⋊C₆	Direct product of C₄ and C₁₃⋊C₆	52	6	C4xC13:C6	312,9
D₅₂⋊C₃	The semidirect product of D₅₂ and C₃ acting faithfully	52	6+	D52:C3	312,10
D₂₆⋊C₆	2^nd semidirect product of D₂₆ and C₆ acting faithfully	52	6	D26:C6	312,12
D₄×C₁₃⋊C₃	Direct product of D₄ and C₁₃⋊C₃	52	6	D4xC13:C3	312,23
C₁₃×S₄	Direct product of C₁₃ and S₄	52	3	C13xS4	312,47
C₁₃⋊S₄	The semidirect product of C₁₃ and S₄ acting via S₄/A₄=C₂	52	6+	C13:S4	312,48
C₂²×C₁₃⋊C₆	Direct product of C₂² and C₁₃⋊C₆	52		C2^2xC13:C6	312,49
A₄×D₁₃	Direct product of A₄ and D₁₃	52	6+	A4xD13	312,50
D₁₃⋊A₄	The semidirect product of D₁₃ and A₄ acting via A₄/C₂²=C₃	52	6+	D13:A4	312,51

Groups of order 416

		d	ρ	Label	ID
D₄×C₁₃⋊C₄	Direct product of D₄ and C₁₃⋊C₄	52	8+	D4xC13:C4	416,206

Groups of order 468

		d	ρ	Label	ID
A₄×C₁₃⋊C₃	Direct product of A₄ and C₁₃⋊C₃	52	9	A4xC13:C3	468,32

On 53 points

Groups of order 53

		d	ρ	Label	ID
C₅₃	Cyclic group	53	1	C53	53,1

Groups of order 106

		d	ρ	Label	ID
D₅₃	Dihedral group	53	2+	D53	106,1

Groups of order 212

		d	ρ	Label	ID
C₅₃⋊C₄	The semidirect product of C₅₃ and C₄ acting faithfully	53	4+	C53:C4	212,3

On 54 points

Groups of order 54

		d	ρ	Label	ID
C₅₄	Cyclic group	54	1	C54	54,2
C₃×C₁₈	Abelian group of type [3,18]	54		C3xC18	54,9
C₃²×C₆	Abelian group of type [3,3,6]	54		C3^2xC6	54,15

Groups of order 108

		d	ρ	Label	ID
C₉.A₄	The central extension by C₉ of A₄	54	3	C9.A4	108,3
D₅₄	Dihedral group; = C₂×D₂₇	54	2+	D54	108,4
C₃×C₃.A₄	Direct product of C₃ and C₃.A₄	54		C3xC3.A4	108,20
C₂×C₉⋊S₃	Direct product of C₂ and C₉⋊S₃	54		C2xC9:S3	108,27
C₂×C₃³⋊C₂	Direct product of C₂ and C₃³⋊C₂	54		C2xC3^3:C2	108,44

Groups of order 162

		d	ρ	Label	ID
C₃×D₂₇	Direct product of C₃ and D₂₇	54	2	C3xD27	162,7
S₃×C₂₇	Direct product of C₂₇ and S₃	54	2	S3xC27	162,8
C₂×C₃²⋊C₉	Direct product of C₂ and C₃²⋊C₉	54		C2xC3^2:C9	162,24
C₂×C₂₇⋊C₃	Direct product of C₂ and C₂₇⋊C₃	54	3	C2xC27:C3	162,27
C₂×He₃.C₃	Direct product of C₂ and He₃.C₃	54	3	C2xHe3.C3	162,29
C₂×He₃⋊C₃	Direct product of C₂ and He₃⋊C₃	54	3	C2xHe3:C3	162,30
C₂×C₃.He₃	Direct product of C₂ and C₃.He₃	54	3	C2xC3.He3	162,31
C₃²×D₉	Direct product of C₃² and D₉	54		C3^2xD9	162,32
S₃×C₃×C₉	Direct product of C₃×C₉ and S₃	54		S3xC3xC9	162,33
C₃×C₉⋊S₃	Direct product of C₃ and C₉⋊S₃	54		C3xC9:S3	162,38
C₉×C₃⋊S₃	Direct product of C₉ and C₃⋊S₃	54		C9xC3:S3	162,39
C₆×He₃	Direct product of C₆ and He₃	54		C6xHe3	162,48
C₆×3_-¹⁺²	Direct product of C₆ and 3_-¹⁺²	54		C6xES-(3,1)	162,49
C₂×C₉○He₃	Direct product of C₂ and C₉○He₃	54	3	C2xC9oHe3	162,50
S₃×C₃³	Direct product of C₃³ and S₃	54		S3xC3^3	162,51
C₃×C₃³⋊C₂	Direct product of C₃ and C₃³⋊C₂	54		C3xC3^3:C2	162,53

Groups of order 216

		d	ρ	Label	ID
C₉.S₄	The non-split extension by C₉ of S₄ acting via S₄/A₄=C₂	54	6+	C9.S4	216,21
C₂×C₉.A₄	Direct product of C₂ and C₉.A₄	54	3	C2xC9.A4	216,22
C₃².₃S₄	2^nd non-split extension by C₃² of S₄ acting via S₄/A₄=C₂	54		C3^2.3S4	216,94
A₄×C₁₈	Direct product of C₁₈ and A₄	54	3	A4xC18	216,103
C₂×C₉⋊A₄	Direct product of C₂ and C₉⋊A₄	54	3	C2xC9:A4	216,104
C₆×C₃.A₄	Direct product of C₆ and C₃.A₄	54		C6xC3.A4	216,105
A₄×C₃×C₆	Direct product of C₃×C₆ and A₄	54		A4xC3xC6	216,173

Groups of order 324

		d	ρ	Label	ID
S₃×D₂₇	Direct product of S₃ and D₂₇	54	4+	S3xD27	324,38
C₆².C₉	2^nd non-split extension by C₆² of C₉ acting via C₉/C₃=C₃	54	3	C6^2.C9	324,45
C₆².₁₃C₃²	4^th non-split extension by C₆² of C₃² acting via C₃²/C₃=C₃	54	3	C6^2.13C3^2	324,49
C₆².₁₄C₃²	5^th non-split extension by C₆² of C₃² acting via C₃²/C₃=C₃	54	3	C6^2.14C3^2	324,50
C₆².₁₅C₃²	6^th non-split extension by C₆² of C₃² acting via C₃²/C₃=C₃	54	3	C6^2.15C3^2	324,51
He₃.A₄	The non-split extension by He₃ of A₄ acting via A₄/C₂²=C₃	54	9	He3.A4	324,53
He₃⋊A₄	1^st semidirect product of He₃ and A₄ acting via A₄/C₂²=C₃	54	9	He3:A4	324,54
C₆².C₃²	4^th non-split extension by C₆² of C₃² acting faithfully	54	9	C6^2.C3^2	324,56
3_-¹⁺²⋊A₄	1^st semidirect product of 3_-¹⁺² and A₄ acting via A₄/C₂²=C₃	54	9	ES-(3,1):A4	324,57
C₆²⋊C₉	1^st semidirect product of C₆² and C₉ acting via C₉/C₃=C₃	54		C6^2:C9	324,59
C₂×C₃²⋊D₉	Direct product of C₂ and C₃²⋊D₉	54		C2xC3^2:D9	324,63
C₂×C₂₇⋊C₆	Direct product of C₂ and C₂₇⋊C₆	54	6+	C2xC27:C6	324,67
C₂×He₃.C₆	Direct product of C₂ and He₃.C₆	54	3	C2xHe3.C6	324,70
C₂×He₃.S₃	Direct product of C₂ and He₃.S₃	54	6+	C2xHe3.S3	324,71
C₂×He₃.₂C₆	Direct product of C₂ and He₃.₂C₆	54	3	C2xHe3.2C6	324,72
C₂×He₃.₂S₃	Direct product of C₂ and He₃.₂S₃	54	6+	C2xHe3.2S3	324,73
C₂×He₃.₃S₃	Direct product of C₂ and He₃.₃S₃	54	6+	C2xHe3.3S3	324,78
C₂×He₃⋊S₃	Direct product of C₂ and He₃⋊S₃	54	6+	C2xHe3:S3	324,79
C₂×3_-¹⁺².S₃	Direct product of C₂ and 3_-¹⁺².S₃	54	6+	C2xES-(3,1).S3	324,80
C₃×He₃⋊C₄	Direct product of C₃ and He₃⋊C₄	54		C3xHe3:C4	324,110
He₃.₃C₁₂	The non-split extension by He₃ of C₁₂ acting via C₁₂/C₃=C₄	54	3	He3.3C12	324,111
D₉×C₃⋊S₃	Direct product of D₉ and C₃⋊S₃	54		D9xC3:S3	324,119
S₃×C₉⋊S₃	Direct product of S₃ and C₉⋊S₃	54		S3xC9:S3	324,120
C₆².₂₅C₃²	16^th non-split extension by C₆² of C₃² acting via C₃²/C₃=C₃	54	3	C6^2.25C3^2	324,128
He₃.₂A₄	The non-split extension by He₃ of A₄ acting through Inn(He₃)	54	9	He3.2A4	324,129
C₆².₉C₃²	9^th non-split extension by C₆² of C₃² acting faithfully	54	9	C6^2.9C3^2	324,132
C₃×C₃².A₄	Direct product of C₃ and C₃².A₄	54		C3xC3^2.A4	324,134
C₃×C₃²⋊A₄	Direct product of C₃ and C₃²⋊A₄	54		C3xC3^2:A4	324,135
C₂×He₃⋊₄S₃	Direct product of C₂ and He₃⋊₄S₃	54		C2xHe3:4S3	324,144
C₆×He₃⋊C₂	Direct product of C₆ and He₃⋊C₂	54		C6xHe3:C2	324,145
C₂×C₃³.S₃	Direct product of C₂ and C₃³.S₃	54		C2xC3^3.S3	324,146
C₂×He₃.₄S₃	Direct product of C₂ and He₃.₄S₃	54	6+	C2xHe3.4S3	324,147
C₂×He₃.₄C₆	Direct product of C₂ and He₃.₄C₆	54	3	C2xHe3.4C6	324,148
S₃×C₃³⋊C₂	Direct product of S₃ and C₃³⋊C₂	54		S3xC3^3:C2	324,168

Groups of order 432

		d	ρ	Label	ID
C₂×C₉.S₄	Direct product of C₂ and C₉.S₄	54	6+	C2xC9.S4	432,224
A₄×C₃.A₄	Direct product of A₄ and C₃.A₄	54	9	A4xC3.A4	432,524
C₂⁴⋊3_-¹⁺²	1^st semidirect product of C₂⁴ and 3_-¹⁺² acting via 3_-¹⁺²/C₃=C₃²	54	9	C2^4:ES-(3,1)	432,527
C₂×He₃⋊C₈	Direct product of C₂ and He₃⋊C₈	54	6+	C2xHe3:C8	432,529
C₂×SU₃(𝔽₂)	Direct product of C₂ and SU₃(𝔽₂)	54	3	C2xSU(3,2)	432,531
C₁₈×S₄	Direct product of C₁₈ and S₄	54	3	C18xS4	432,532
C₂×C₉⋊S₄	Direct product of C₂ and C₉⋊S₄	54	6+	C2xC9:S4	432,536
C₂×C₃².₃S₄	Direct product of C₂ and C₃².₃S₄	54		C2xC3^2.3S4	432,537
C₂×D₉⋊A₄	Direct product of C₂ and D₉⋊A₄	54	6+	C2xD9:A4	432,539
C₂×A₄×D₉	Direct product of C₂, A₄ and D₉	54	6+	C2xA4xD9	432,540
C₃×C₆×S₄	Direct product of C₃×C₆ and S₄	54		C3xC6xS4	432,760
C₂×C₃²⋊₄S₄	Direct product of C₂ and C₃²⋊₄S₄	54		C2xC3^2:4S4	432,762
C₂×A₄×C₃⋊S₃	Direct product of C₂, A₄ and C₃⋊S₃	54		C2xA4xC3:S3	432,764

Groups of order 486

		d	ρ	Label	ID
C₉⋊S₃⋊C₉	1^st semidirect product of C₉⋊S₃ and C₉ acting via C₉/C₃=C₃	54		C9:S3:C9	486,3
C₃.C₃≀S₃	1^st non-split extension by C₃ of C₃≀S₃ acting via C₃≀S₃/C₃≀C₃=C₂	54	6	C3.C3wrS3	486,4
C₃.₃C₃≀S₃	3^rd non-split extension by C₃ of C₃≀S₃ acting via C₃≀S₃/C₃≀C₃=C₂	54	6	C3.3C3wrS3	486,8
(C₃×He₃).C₆	2^nd non-split extension by C₃×He₃ of C₆ acting faithfully	54	6	(C3xHe3).C6	486,9
C₃²⋊C₉.C₆	2^nd non-split extension by C₃²⋊C₉ of C₆ acting faithfully	54	6	C3^2:C9.C6	486,10
C₃³.(C₃×S₃)	8^th non-split extension by C₃³ of C₃×S₃ acting faithfully	54	6	C3^3.(C3xS3)	486,11
C₃²⋊₂D₉.C₃	3^rd non-split extension by C₃²⋊₂D₉ of C₃ acting faithfully	54	6	C3^2:2D9.C3	486,12
C₉×D₂₇	Direct product of C₉ and D₂₇	54	2	C9xD27	486,13
D₉×C₂₇	Direct product of C₂₇ and D₉	54	2	D9xC27	486,14
C₂₇⋊₃C₁₈	The semidirect product of C₂₇ and C₁₈ acting via C₁₈/C₃=C₆	54	6	C27:3C18	486,15
C₃²⋊C₅₄	The semidirect product of C₃² and C₅₄ acting via C₅₄/C₉=C₆	54	6	C3^2:C54	486,16
(C₃×C₉)⋊C₁₈	2^nd semidirect product of C₃×C₉ and C₁₈ acting via C₁₈/C₃=C₆	54	6	(C3xC9):C18	486,20
(C₃×C₉)⋊D₉	2^nd semidirect product of C₃×C₉ and D₉ acting via D₉/C₃=S₃	54	6	(C3xC9):D9	486,21
C₉⋊S₃⋊₃C₉	3^rd semidirect product of C₉⋊S₃ and C₉ acting via C₉/C₃=C₃	54	6	C9:S3:3C9	486,22
(C₃×C₉)⋊₃D₉	3^rd semidirect product of C₃×C₉ and D₉ acting via D₉/C₃=S₃	54	6	(C3xC9):3D9	486,23
C₉⋊C₅₄	The semidirect product of C₉ and C₅₄ acting via C₅₄/C₉=C₆	54	6	C9:C54	486,30
C₃²⋊₂D₂₇	2^nd semidirect product of C₃² and D₂₇ acting via D₂₇/C₉=S₃	54	6	C3^2:2D27	486,51
C₂×C₃³⋊C₉	Direct product of C₂ and C₃³⋊C₉	54		C2xC3^3:C9	486,73
C₂×C₉.₄He₃	Direct product of C₂ and C₉.₄He₃	54	3	C2xC9.4He3	486,76
C₂×C₂₇⋊C₉	Direct product of C₂ and C₂₇⋊C₉	54	9	C2xC27:C9	486,82
C₂×C₉²⋊C₃	Direct product of C₂ and C₉²⋊C₃	54	3	C2xC9^2:C3	486,85
C₂×C₉²⋊₂C₃	Direct product of C₂ and C₉²⋊₂C₃	54	3	C2xC9^2:2C3	486,86
C₂×C₉².C₃	Direct product of C₂ and C₉².C₃	54	3	C2xC9^2.C3	486,87
C₂×C₃².He₃	Direct product of C₂ and C₃².He₃	54	9	C2xC3^2.He3	486,88
C₂×C₃².₅He₃	Direct product of C₂ and C₃².₅He₃	54	9	C2xC3^2.5He3	486,89
C₂×C₃².₆He₃	Direct product of C₂ and C₃².₆He₃	54	9	C2xC3^2.6He3	486,90
D₉×C₃×C₉	Direct product of C₃×C₉ and D₉	54		D9xC3xC9	486,91
C₃×C₃²⋊C₁₈	Direct product of C₃ and C₃²⋊C₁₈	54		C3xC3^2:C18	486,93
C₃×C₃²⋊D₉	Direct product of C₃ and C₃²⋊D₉	54		C3xC3^2:D9	486,94
S₃×C₃²⋊C₉	Direct product of S₃ and C₃²⋊C₉	54		S3xC3^2:C9	486,95
C₃×C₉⋊C₁₈	Direct product of C₃ and C₉⋊C₁₈	54		C3xC9:C18	486,96
C₉×C₃²⋊C₆	Direct product of C₉ and C₃²⋊C₆	54	6	C9xC3^2:C6	486,98
D₉×He₃	Direct product of D₉ and He₃	54	6	D9xHe3	486,99
C₉×C₉⋊C₆	Direct product of C₉ and C₉⋊C₆	54	6	C9xC9:C6	486,100
D₉×3_-¹⁺²	Direct product of D₉ and 3_-¹⁺²	54	6	D9xES-(3,1)	486,101
D₉⋊He₃	The semidirect product of D₉ and He₃ acting via He₃/C₃²=C₃	54	6	D9:He3	486,106
C₉⋊He₃⋊C₂	3^rd semidirect product of C₉⋊He₃ and C₂ acting faithfully	54	6	C9:He3:C2	486,107
D₉⋊3_-¹⁺²	The semidirect product of D₉ and 3_-¹⁺² acting via 3_-¹⁺²/C₃²=C₃	54	6	D9:ES-(3,1)	486,108
C₉²⋊₇C₆	7^th semidirect product of C₉² and C₆ acting faithfully	54	6	C9^2:7C6	486,109
C₃×C₂₇⋊C₆	Direct product of C₃ and C₂₇⋊C₆	54	6	C3xC27:C6	486,113
S₃×C₂₇⋊C₃	Direct product of S₃ and C₂₇⋊C₃	54	6	S3xC27:C3	486,114
C₃×He₃.S₃	Direct product of C₃ and He₃.S₃	54	6	C3xHe3.S3	486,119
S₃×He₃.C₃	Direct product of S₃ and He₃.C₃	54	6	S3xHe3.C3	486,120
C₃×He₃.₂S₃	Direct product of C₃ and He₃.₂S₃	54	6	C3xHe3.2S3	486,122
S₃×He₃⋊C₃	Direct product of S₃ and He₃⋊C₃	54	6	S3xHe3:C3	486,123
S₃×C₃.He₃	Direct product of S₃ and C₃.He₃	54	6	S3xC3.He3	486,124
C₉×C₉⋊S₃	Direct product of C₉ and C₉⋊S₃	54		C9xC9:S3	486,133
C₃×C₃²⋊₂D₉	Direct product of C₃ and C₃²⋊₂D₉	54		C3xC3^2:2D9	486,135
C₃³⋊C₁₈	4^th semidirect product of C₃³ and C₁₈ acting via C₁₈/C₃=C₆	54		C3^3:C18	486,136
C₉⋊(S₃×C₉)	The semidirect product of C₉ and S₃×C₉ acting via S₃×C₉/C₃²=C₆	54		C9:(S3xC9)	486,138
C₉²⋊₃S₃	3^rd semidirect product of C₉² and S₃ acting faithfully	54	6	C9^2:3S3	486,139
C₉²⋊₄S₃	4^th semidirect product of C₉² and S₃ acting faithfully	54	6	C9^2:4S3	486,140
(C₃²×C₉)⋊S₃	14^th semidirect product of C₃²×C₉ and S₃ acting faithfully	54	6	(C3^2xC9):S3	486,149
(C₃²×C₉)⋊₈S₃	8^th semidirect product of C₃²×C₉ and S₃ acting faithfully	54	6	(C3^2xC9):8S3	486,150
C₉⋊C₉⋊₂S₃	2^nd semidirect product of C₉⋊C₉ and S₃ acting faithfully	54	6	C9:C9:2S3	486,152
C₉²⋊₅S₃	5^th semidirect product of C₉² and S₃ acting faithfully	54	6	C9^2:5S3	486,156
C₃×He₃.₃S₃	Direct product of C₃ and He₃.₃S₃	54	6	C3xHe3.3S3	486,168
He₃.C₃⋊S₃	5^th semidirect product of He₃.C₃ and S₃ acting via S₃/C₃=C₂	54	6	He3.C3:S3	486,169
C₃×He₃⋊S₃	Direct product of C₃ and He₃⋊S₃	54	6	C3xHe3:S3	486,171
He₃⋊C₃⋊₂S₃	1^st semidirect product of He₃⋊C₃ and S₃ acting via S₃/C₃=C₂	54	6	He3:C3:2S3	486,172
C₃×3_-¹⁺².S₃	Direct product of C₃ and 3_-¹⁺².S₃	54	6	C3xES-(3,1).S3	486,174
C₃³⋊₆D₉	6^th semidirect product of C₃³ and D₉ acting via D₉/C₃=S₃	54		C3^3:6D9	486,181
He₃⋊₄D₉	2^nd semidirect product of He₃ and D₉ acting via D₉/C₉=C₂	54	6	He3:4D9	486,182
C₂×C₃²⋊He₃	Direct product of C₂ and C₃²⋊He₃	54		C2xC3^2:He3	486,196
C₂×C₃⁴.C₃	Direct product of C₂ and C₃⁴.C₃	54		C2xC3^4.C3	486,197
C₆×C₃≀C₃	Direct product of C₆ and C₃≀C₃	54		C6xC3wrC3	486,210
C₂×C₉.He₃	Direct product of C₂ and C₉.He₃	54	3	C2xC9.He3	486,214
C₂×C₃³⋊C₃²	Direct product of C₂ and C₃³⋊C₃²	54	9	C2xC3^3:C3^2	486,215
C₂×He₃.C₃²	Direct product of C₂ and He₃.C₃²	54	9	C2xHe3.C3^2	486,216
C₂×He₃⋊C₃²	Direct product of C₂ and He₃⋊C₃²	54	9	C2xHe3:C3^2	486,217
C₂×C₃².C₃³	Direct product of C₂ and C₃².C₃³	54	9	C2xC3^2.C3^3	486,218
C₂×C₉.₂He₃	Direct product of C₂ and C₉.₂He₃	54	9	C2xC9.2He3	486,219
C₃²×C₃²⋊C₆	Direct product of C₃² and C₃²⋊C₆	54		C3^2xC3^2:C6	486,222
C₃×S₃×He₃	Direct product of C₃, S₃ and He₃	54		C3xS3xHe3	486,223
C₃²×C₉⋊C₆	Direct product of C₃² and C₉⋊C₆	54		C3^2xC9:C6	486,224
C₃×S₃×3_-¹⁺²	Direct product of C₃, S₃ and 3_-¹⁺²	54		C3xS3xES-(3,1)	486,225
S₃×C₉○He₃	Direct product of S₃ and C₉○He₃	54	6	S3xC9oHe3	486,226
C₃²×C₉⋊S₃	Direct product of C₃² and C₉⋊S₃	54		C3^2xC9:S3	486,227
C₃⋊S₃×C₃×C₉	Direct product of C₃×C₉ and C₃⋊S₃	54		C3:S3xC3xC9	486,228
C₃×He₃⋊₄S₃	Direct product of C₃ and He₃⋊₄S₃	54		C3xHe3:4S3	486,229
C₃⋊S₃×He₃	Direct product of C₃⋊S₃ and He₃	54		C3:S3xHe3	486,231
C₃×C₃³.S₃	Direct product of C₃ and C₃³.S₃	54		C3xC3^3.S3	486,232
C₃⋊S₃×3_-¹⁺²	Direct product of C₃⋊S₃ and 3_-¹⁺²	54		C3:S3xES-(3,1)	486,233
C₃×He₃.₄S₃	Direct product of C₃ and He₃.₄S₃	54	6	C3xHe3.4S3	486,234
C₃×He₃⋊₅S₃	Direct product of C₃ and He₃⋊₅S₃	54		C3xHe3:5S3	486,243
C₉○He₃⋊₄S₃	2^nd semidirect product of C₉○He₃ and S₃ acting via S₃/C₃=C₂	54	6	C9oHe3:4S3	486,246
C₃⁴⋊₁₃S₃	13^rd semidirect product of C₃⁴ and S₃ acting faithfully	54		C3^4:13S3	486,248
C₂×3₊¹⁺⁴	Direct product of C₂ and 3₊¹⁺⁴	54	9	C2xES+(3,2)	486,254
C₂×3_-¹⁺⁴	Direct product of C₂ and 3_-¹⁺⁴	54	9	C2xES-(3,2)	486,255
C₃⋊S₃×C₃³	Direct product of C₃³ and C₃⋊S₃	54		C3:S3xC3^3	486,257
C₃²×C₃³⋊C₂	Direct product of C₃² and C₃³⋊C₂	54		C3^2xC3^3:C2	486,258

On 55 points

Groups of order 55

		d	ρ	Label	ID
C₅₅	Cyclic group	55	1	C55	55,2

Groups of order 110

		d	ρ	Label	ID
D₅×C₁₁	Direct product of C₁₁ and D₅	55	2	D5xC11	110,3
C₅×D₁₁	Direct product of C₅ and D₁₁	55	2	C5xD11	110,4
D₅₅	Dihedral group	55	2+	D55	110,5

Groups of order 220

		d	ρ	Label	ID
C₁₁×F₅	Direct product of C₁₁ and F₅	55	4	C11xF5	220,9
C₁₁⋊F₅	The semidirect product of C₁₁ and F₅ acting via F₅/D₅=C₂	55	4	C11:F5	220,10
D₅×D₁₁	Direct product of D₅ and D₁₁	55	4+	D5xD11	220,11

Groups of order 275

		d	ρ	Label	ID
C₅×C₁₁⋊C₅	Direct product of C₅ and C₁₁⋊C₅	55	5	C5xC11:C5	275,3

Groups of order 440

		d	ρ	Label	ID
F₅×D₁₁	Direct product of F₅ and D₁₁	55	8+	F5xD11	440,43

On 56 points

Groups of order 56

		d	ρ	Label	ID
C₇⋊C₈	The semidirect product of C₇ and C₈ acting via C₈/C₄=C₂	56	2	C7:C8	56,1
C₅₆	Cyclic group	56	1	C56	56,2
Dic₁₄	Dicyclic group; = C₇ ⋊Q₈	56	2-	Dic14	56,3
C₂×Dic₇	Direct product of C₂ and Dic₇	56		C2xDic7	56,6
C₂×C₂₈	Abelian group of type [2,28]	56		C2xC28	56,8
C₇×Q₈	Direct product of C₇ and Q₈	56	2	C7xQ8	56,10
C₂²×C₁₄	Abelian group of type [2,2,14]	56		C2^2xC14	56,13

Groups of order 112

		d	ρ	Label	ID
C₈×D₇	Direct product of C₈ and D₇	56	2	C8xD7	112,3
C₈⋊D₇	3^rd semidirect product of C₈ and D₇ acting via D₇/C₇=C₂	56	2	C8:D7	112,4
C₅₆⋊C₂	2^nd semidirect product of C₅₆ and C₂ acting faithfully	56	2	C56:C2	112,5
D₅₆	Dihedral group	56	2+	D56	112,6
C₄.Dic₇	The non-split extension by C₄ of Dic₇ acting via Dic₇/C₁₄=C₂	56	2	C4.Dic7	112,9
D₁₄⋊C₄	The semidirect product of D₁₄ and C₄ acting via C₄/C₂=C₂	56		D14:C4	112,13
D₄⋊D₇	The semidirect product of D₄ and D₇ acting via D₇/C₇=C₂	56	4+	D4:D7	112,14
D₄.D₇	The non-split extension by D₄ of D₇ acting via D₇/C₇=C₂	56	4-	D4.D7	112,15
Q₈⋊D₇	The semidirect product of Q₈ and D₇ acting via D₇/C₇=C₂	56	4+	Q8:D7	112,16
C₂³.D₇	The non-split extension by C₂³ of D₇ acting via D₇/C₇=C₂	56		C2^3.D7	112,18
C₇×C₂²⋊C₄	Direct product of C₇ and C₂²⋊C₄	56		C7xC2^2:C4	112,20
C₇×M₄(2)	Direct product of C₇ and M₄(2)	56	2	C7xM4(2)	112,23
C₇×D₈	Direct product of C₇ and D₈	56	2	C7xD8	112,24
C₇×SD₁₆	Direct product of C₇ and SD₁₆	56	2	C7xSD16	112,25
C₂×C₄×D₇	Direct product of C₂×C₄ and D₇	56		C2xC4xD7	112,28
C₂×D₂₈	Direct product of C₂ and D₂₈	56		C2xD28	112,29
C₄○D₂₈	Central product of C₄ and D₂₈	56	2	C4oD28	112,30
D₄⋊₂D₇	The semidirect product of D₄ and D₇ acting through Inn(D₄)	56	4-	D4:2D7	112,32
Q₈×D₇	Direct product of Q₈ and D₇	56	4-	Q8xD7	112,33
Q₈⋊₂D₇	The semidirect product of Q₈ and D₇ acting through Inn(Q₈)	56	4+	Q8:2D7	112,34
C₂×C₇⋊D₄	Direct product of C₂ and C₇⋊D₄	56		C2xC7:D4	112,36
D₄×C₁₄	Direct product of C₁₄ and D₄	56		D4xC14	112,38
C₇×C₄○D₄	Direct product of C₇ and C₄○D₄	56	2	C7xC4oD4	112,40
C₂³×D₇	Direct product of C₂³ and D₇	56		C2^3xD7	112,42

Groups of order 168

		d	ρ	Label	ID
C₇⋊C₂₄	The semidirect product of C₇ and C₂₄ acting via C₂₄/C₄=C₆	56	6	C7:C24	168,1
C₈×C₇⋊C₃	Direct product of C₈ and C₇⋊C₃	56	3	C8xC7:C3	168,2
C₄.F₇	The non-split extension by C₄ of F₇ acting via F₇/C₇⋊C₃=C₂	56	6-	C4.F7	168,7
C₂×C₇⋊C₁₂	Direct product of C₂ and C₇⋊C₁₂	56		C2xC7:C12	168,10
C₂×C₄×C₇⋊C₃	Direct product of C₂×C₄ and C₇⋊C₃	56		C2xC4xC7:C3	168,19
Q₈×C₇⋊C₃	Direct product of Q₈ and C₇⋊C₃	56	6	Q8xC7:C3	168,21
C₇×SL₂(𝔽₃)	Direct product of C₇ and SL₂(𝔽₃)	56	2	C7xSL(2,3)	168,22
C₁₄.A₄	The non-split extension by C₁₄ of A₄ acting via A₄/C₂²=C₃	56	6	C14.A4	168,23
C₂³×C₇⋊C₃	Direct product of C₂³ and C₇⋊C₃	56		C2^3xC7:C3	168,51

Groups of order 224

		d	ρ	Label	ID
Dic₁₄⋊C₄	1^st semidirect product of Dic₁₄ and C₄ acting via C₄/C₂=C₂	56	2	Dic14:C4	224,11
C₂³.₁D₁₄	1^st non-split extension by C₂³ of D₁₄ acting via D₁₄/C₇=C₂²	56	4	C2^3.1D14	224,12
C₂₈.₄₆D₄	3^rd non-split extension by C₂₈ of D₄ acting via D₄/C₂²=C₂	56	4+	C28.46D4	224,29
D₂₈⋊₄C₄	4^th semidirect product of D₂₈ and C₄ acting via C₄/C₂=C₂	56	4	D28:4C4	224,31
C₂₈.D₄	8^th non-split extension by C₂₈ of D₄ acting via D₄/C₂=C₂²	56	4	C28.D4	224,39
C₂³⋊Dic₇	The semidirect product of C₂³ and Dic₇ acting via Dic₇/C₇=C₄	56	4	C2^3:Dic7	224,40
D₄⋊₂Dic₇	2^nd semidirect product of D₄ and Dic₇ acting via Dic₇/C₁₄=C₂	56	4	D4:2Dic7	224,43
C₇×C₂³⋊C₄	Direct product of C₇ and C₂³⋊C₄	56	4	C7xC2^3:C4	224,48
C₇×C₄.D₄	Direct product of C₇ and C₄.D₄	56	4	C7xC4.D4	224,49
C₇×C₄≀C₂	Direct product of C₇ and C₄≀C₂	56	2	C7xC4wrC2	224,53
D₇×C₂²⋊C₄	Direct product of D₇ and C₂²⋊C₄	56		D7xC2^2:C4	224,75
C₂²⋊D₂₈	The semidirect product of C₂² and D₂₈ acting via D₂₈/D₁₄=C₂	56		C2^2:D28	224,77
D₇×M₄(2)	Direct product of D₇ and M₄(2)	56	4	D7xM4(2)	224,101
C₈⋊D₁₄	1^st semidirect product of C₈ and D₁₄ acting via D₁₄/C₇=C₂²	56	4+	C8:D14	224,103
D₇×D₈	Direct product of D₇ and D₈	56	4+	D7xD8	224,105
D₈⋊D₇	2^nd semidirect product of D₈ and D₇ acting via D₇/C₇=C₂	56	4	D8:D7	224,106
D₇×SD₁₆	Direct product of D₇ and SD₁₆	56	4	D7xSD16	224,108
D₅₆⋊C₂	6^th semidirect product of D₅₆ and C₂ acting faithfully	56	4+	D56:C2	224,109
D₄.D₁₄	1^st non-split extension by D₄ of D₁₄ acting via D₁₄/C₁₄=C₂	56	4	D4.D14	224,127
C₂³⋊D₁₄	1^st semidirect product of C₂³ and D₁₄ acting via D₁₄/C₇=C₂²	56		C2^3:D14	224,132
D₄⋊D₁₄	2^nd semidirect product of D₄ and D₁₄ acting via D₁₄/C₁₄=C₂	56	4+	D4:D14	224,144
C₂⁴⋊D₇	1^st semidirect product of C₂⁴ and D₇ acting via D₇/C₇=C₂	56		C2^4:D7	224,148
C₇×C₂²≀C₂	Direct product of C₇ and C₂²≀C₂	56		C7xC2^2wrC2	224,155
C₇×C₈⋊C₂²	Direct product of C₇ and C₈⋊C₂²	56	4	C7xC8:C2^2	224,171
C₂×D₄×D₇	Direct product of C₂, D₄ and D₇	56		C2xD4xD7	224,178
D₄⋊₆D₁₄	2^nd semidirect product of D₄ and D₁₄ acting through Inn(D₄)	56	4	D4:6D14	224,180
D₇×C₄○D₄	Direct product of D₇ and C₄○D₄	56	4	D7xC4oD4	224,184
D₄⋊₈D₁₄	4^th semidirect product of D₄ and D₁₄ acting through Inn(D₄)	56	4+	D4:8D14	224,185
C₇×2₊¹⁺⁴	Direct product of C₇ and 2₊¹⁺⁴	56	4	C7xES+(2,2)	224,193

Groups of order 336

		d	ρ	Label	ID
C₈×F₇	Direct product of C₈ and F₇	56	6	C8xF7	336,7
C₈⋊F₇	3^rd semidirect product of C₈ and F₇ acting via F₇/C₇⋊C₃=C₂	56	6	C8:F7	336,8
C₅₆⋊C₆	2^nd semidirect product of C₅₆ and C₆ acting faithfully	56	6	C56:C6	336,9
D₅₆⋊C₃	The semidirect product of D₅₆ and C₃ acting faithfully	56	6+	D56:C3	336,10
C₂₈.C₁₂	1^st non-split extension by C₂₈ of C₁₂ acting via C₁₂/C₂=C₆	56	6	C28.C12	336,13
D₁₄⋊C₁₂	The semidirect product of D₁₄ and C₁₂ acting via C₁₂/C₂=C₆	56		D14:C12	336,17
D₄⋊F₇	The semidirect product of D₄ and F₇ acting via F₇/C₇⋊C₃=C₂	56	12+	D4:F7	336,18
D₄.F₇	The non-split extension by D₄ of F₇ acting via F₇/C₇⋊C₃=C₂	56	12-	D4.F7	336,19
Q₈⋊₂F₇	The semidirect product of Q₈ and F₇ acting via F₇/C₇⋊C₃=C₂	56	12+	Q8:2F7	336,20
C₂³.₂F₇	The non-split extension by C₂³ of F₇ acting via F₇/C₇⋊C₃=C₂	56		C2^3.2F7	336,22
C₂²⋊C₄×C₇⋊C₃	Direct product of C₂²⋊C₄ and C₇⋊C₃	56		C2^2:C4xC7:C3	336,49
M₄(2)×C₇⋊C₃	Direct product of M₄(2) and C₇⋊C₃	56	6	M4(2)xC7:C3	336,52
D₈×C₇⋊C₃	Direct product of D₈ and C₇⋊C₃	56	6	D8xC7:C3	336,53
SD₁₆×C₇⋊C₃	Direct product of SD₁₆ and C₇⋊C₃	56	6	SD16xC7:C3	336,54
C₇×GL₂(𝔽₃)	Direct product of C₇ and GL₂(𝔽₃)	56	2	C7xGL(2,3)	336,116
Q₈⋊D₂₁	The semidirect product of Q₈ and D₂₁ acting via D₂₁/C₇=S₃	56	4+	Q8:D21	336,119
C₂×C₄×F₇	Direct product of C₂×C₄ and F₇	56		C2xC4xF7	336,122
C₂×C₄⋊F₇	Direct product of C₂ and C₄⋊F₇	56		C2xC4:F7	336,123
D₂₈⋊₆C₆	2^nd semidirect product of D₂₈ and C₆ acting via C₆/C₂=C₃	56	6	D28:6C6	336,124
D₄⋊₂F₇	The semidirect product of D₄ and F₇ acting through Inn(D₄)	56	12-	D4:2F7	336,126
Q₈×F₇	Direct product of Q₈ and F₇	56	12-	Q8xF7	336,127
Q₈⋊₃F₇	The semidirect product of Q₈ and F₇ acting through Inn(Q₈)	56	12+	Q8:3F7	336,128
C₂×Dic₇⋊C₆	Direct product of C₂ and Dic₇⋊C₆	56		C2xDic7:C6	336,130
D₇×SL₂(𝔽₃)	Direct product of D₇ and SL₂(𝔽₃)	56	4-	D7xSL(2,3)	336,132
Q₈⋊F₇	The semidirect product of Q₈ and F₇ acting via F₇/D₇=C₃	56	12-	Q8:F7	336,135
C₂×D₄×C₇⋊C₃	Direct product of C₂, D₄ and C₇⋊C₃	56		C2xD4xC7:C3	336,165
C₄○D₄×C₇⋊C₃	Direct product of C₄○D₄ and C₇⋊C₃	56	6	C4oD4xC7:C3	336,167
C₂³×F₇	Direct product of C₂³ and F₇	56		C2^3xF7	336,216

Groups of order 392

		d	ρ	Label	ID
C₇×C₇⋊C₈	Direct product of C₇ and C₇⋊C₈	56	2	C7xC7:C8	392,14
C₇²⋊₂C₈	The semidirect product of C₇² and C₈ acting via C₈/C₂=C₄	56	4-	C7^2:2C8	392,17
D₇×Dic₇	Direct product of D₇ and Dic₇	56	4-	D7xDic7	392,18
C₇²⋊₂D₄	1^st semidirect product of C₇² and D₄ acting via D₄/C₂=C₂²	56	4-	C7^2:2D4	392,20
C₇²⋊₂Q₈	The semidirect product of C₇² and Q₈ acting via Q₈/C₂=C₂²	56	4-	C7^2:2Q8	392,22
C₇×Dic₁₄	Direct product of C₇ and Dic₁₄	56	2	C7xDic14	392,23
D₇×C₂₈	Direct product of C₂₈ and D₇	56	2	D7xC28	392,24
C₇×D₂₈	Direct product of C₇ and D₂₈	56	2	C7xD28	392,25
C₁₄×Dic₇	Direct product of C₁₄ and Dic₇	56		C14xDic7	392,26
C₇×F₈	Direct product of C₇ and F₈	56	7	C7xF8	392,39
D₇×C₂×C₁₄	Direct product of C₂×C₁₄ and D₇	56		D7xC2xC14	392,42

Groups of order 448

		d	ρ	Label	ID
C₇⋊C₂≀C₄	The semidirect product of C₇ and C₂≀C₄ acting via C₂≀C₄/C₂³⋊C₄=C₂	56	8+	C7:C2wrC4	448,28
C₂³.₂D₂₈	2^nd non-split extension by C₂³ of D₂₈ acting via D₂₈/C₇=D₄	56	8+	C2^3.2D28	448,31
C₂³.₃D₂₈	3^rd non-split extension by C₂³ of D₂₈ acting via D₂₈/C₇=D₄	56	8+	C2^3.3D28	448,32
C₂⁴⋊Dic₇	1^st semidirect product of C₂⁴ and Dic₇ acting via Dic₇/C₇=C₄	56	4	C2^4:Dic7	448,93
C₄²⋊₃Dic₇	3^rd semidirect product of C₄² and Dic₇ acting via Dic₇/C₇=C₄	56	4	C4^2:3Dic7	448,102
C₇×C₂≀C₄	Direct product of C₇ and C₂≀C₄	56	4	C7xC2wrC4	448,155
C₇×C₄²⋊C₄	Direct product of C₇ and C₄²⋊C₄	56	4	C7xC4^2:C4	448,157
C₂³.F₈	2^nd non-split extension by C₂³ of F₈ acting via F₈/C₂³=C₇	56	14	C2^3.F8	448,179
C₂³⋊D₂₈	The semidirect product of C₂³ and D₂₈ acting via D₂₈/C₇=D₄	56	8+	C2^3:D28	448,275
D₇×C₂³⋊C₄	Direct product of D₇ and C₂³⋊C₄	56	8+	D7xC2^3:C4	448,277
D₇×C₄.D₄	Direct product of D₇ and C₄.D₄	56	8+	D7xC4.D4	448,278
D₂₈⋊₁D₄	1^st semidirect product of D₂₈ and D₄ acting via D₄/C₂=C₂²	56	8+	D28:1D4	448,281
D₇×C₄≀C₂	Direct product of D₇ and C₄≀C₂	56	4	D7xC4wrC2	448,354
D₄⋊₄D₂₈	3^rd semidirect product of D₄ and D₂₈ acting via D₂₈/D₁₄=C₂	56	4+	D4:4D28	448,356
C₂⁴⋊D₁₄	1^st semidirect product of C₂⁴ and D₁₄ acting via D₁₄/C₇=C₂²	56	4	C2^4:D14	448,566
D₂₈⋊₅D₄	5^th semidirect product of D₂₈ and D₄ acting via D₄/C₂=C₂²	56	4	D28:5D4	448,611
D₂₈⋊₁₈D₄	6^th semidirect product of D₂₈ and D₄ acting via D₄/C₂²=C₂	56	8+	D28:18D4	448,732
2₊¹⁺⁴⋊D₇	1^st semidirect product of 2₊¹⁺⁴ and D₇ acting via D₇/C₇=C₂	56	8+	ES+(2,2):D7	448,775
2₊¹⁺⁴⋊₂D₇	2^nd semidirect product of 2₊¹⁺⁴ and D₇ acting via D₇/C₇=C₂	56	8+	ES+(2,2):2D7	448,778
C₇×D₄⋊₄D₄	Direct product of C₇ and D₄⋊₄D₄	56	4	C7xD4:4D4	448,861
C₇×C₂≀C₂²	Direct product of C₇ and C₂≀C₂²	56	4	C7xC2wrC2^2	448,865
C₈×F₈	Direct product of C₈ and F₈	56	7	C8xF8	448,919
D₇×C₂²≀C₂	Direct product of D₇ and C₂²≀C₂	56		D7xC2^2wrC2	448,1041
D₇×C₈⋊C₂²	Direct product of D₇ and C₈⋊C₂²	56	8+	D7xC8:C2^2	448,1225
C₂×C₄×F₈	Direct product of C₂×C₄ and F₈	56		C2xC4xF8	448,1362
Q₈×F₈	Direct product of Q₈ and F₈	56	14-	Q8xF8	448,1364
D₇×2₊¹⁺⁴	Direct product of D₇ and 2₊¹⁺⁴	56	8+	D7xES+(2,2)	448,1379
C₂³×F₈	Direct product of C₂³ and F₈	56		C2^3xF8	448,1392

On 57 points

Groups of order 57

		d	ρ	Label	ID
C₅₇	Cyclic group	57	1	C57	57,2

Groups of order 114

		d	ρ	Label	ID
S₃×C₁₉	Direct product of C₁₉ and S₃	57	2	S3xC19	114,3
C₃×D₁₉	Direct product of C₃ and D₁₉	57	2	C3xD19	114,4
D₅₇	Dihedral group	57	2+	D57	114,5

Groups of order 171

		d	ρ	Label	ID
C₃×C₁₉⋊C₃	Direct product of C₃ and C₁₉⋊C₃	57	3	C3xC19:C3	171,4

Groups of order 228

		d	ρ	Label	ID
S₃×D₁₉	Direct product of S₃ and D₁₉	57	4+	S3xD19	228,8

Groups of order 342

		d	ρ	Label	ID
C₃×C₁₉⋊C₆	Direct product of C₃ and C₁₉⋊C₆	57	6	C3xC19:C6	342,9
S₃×C₁₉⋊C₃	Direct product of S₃ and C₁₉⋊C₃	57	6	S3xC19:C3	342,10
D₅₇⋊C₃	The semidirect product of D₅₇ and C₃ acting faithfully	57	6+	D57:C3	342,11

On 58 points

Groups of order 58

		d	ρ	Label	ID
C₅₈	Cyclic group	58	1	C58	58,2

Groups of order 116

		d	ρ	Label	ID
D₅₈	Dihedral group; = C₂×D₂₉	58	2+	D58	116,4

Groups of order 232

		d	ρ	Label	ID
C₂×C₂₉⋊C₄	Direct product of C₂ and C₂₉⋊C₄	58	4+	C2xC29:C4	232,12

Groups of order 406

		d	ρ	Label	ID
C₂×C₂₉⋊C₇	Direct product of C₂ and C₂₉⋊C₇	58	7	C2xC29:C7	406,2

On 59 points

Groups of order 59

		d	ρ	Label	ID
C₅₉	Cyclic group	59	1	C59	59,1

Groups of order 118

		d	ρ	Label	ID
D₅₉	Dihedral group	59	2+	D59	118,1

On 60 points

Groups of order 60

		d	ρ	Label	ID
C₅×Dic₃	Direct product of C₅ and Dic₃	60	2	C5xDic3	60,1
C₃×Dic₅	Direct product of C₃ and Dic₅	60	2	C3xDic5	60,2
Dic₁₅	Dicyclic group; = C₃ ⋊Dic₅	60	2-	Dic15	60,3
C₆₀	Cyclic group	60	1	C60	60,4
C₂×C₃₀	Abelian group of type [2,30]	60		C2xC30	60,13

Groups of order 120

		d	ρ	Label	ID
D₅×Dic₃	Direct product of D₅ and Dic₃	60	4-	D5xDic3	120,8
S₃×Dic₅	Direct product of S₃ and Dic₅	60	4-	S3xDic5	120,9
D₃₀.C₂	The non-split extension by D₃₀ of C₂ acting faithfully	60	4+	D30.C2	120,10
C₁₅⋊D₄	1^st semidirect product of C₁₅ and D₄ acting via D₄/C₂=C₂²	60	4-	C15:D4	120,11
C₃⋊D₂₀	The semidirect product of C₃ and D₂₀ acting via D₂₀/D₁₀=C₂	60	4+	C3:D20	120,12
C₅⋊D₁₂	The semidirect product of C₅ and D₁₂ acting via D₁₂/D₆=C₂	60	4+	C5:D12	120,13
D₅×C₁₂	Direct product of C₁₂ and D₅	60	2	D5xC12	120,17
C₃×D₂₀	Direct product of C₃ and D₂₀	60	2	C3xD20	120,18
C₃×C₅⋊D₄	Direct product of C₃ and C₅⋊D₄	60	2	C3xC5:D4	120,20
S₃×C₂₀	Direct product of C₂₀ and S₃	60	2	S3xC20	120,22
C₅×D₁₂	Direct product of C₅ and D₁₂	60	2	C5xD12	120,23
C₅×C₃⋊D₄	Direct product of C₅ and C₃⋊D₄	60	2	C5xC3:D4	120,25
C₄×D₁₅	Direct product of C₄ and D₁₅	60	2	C4xD15	120,27
D₆₀	Dihedral group	60	2+	D60	120,28
C₁₅⋊₇D₄	1^st semidirect product of C₁₅ and D₄ acting via D₄/C₂²=C₂	60	2	C15:7D4	120,30
D₄×C₁₅	Direct product of C₁₅ and D₄	60	2	D4xC15	120,32
D₅×C₂×C₆	Direct product of C₂×C₆ and D₅	60		D5xC2xC6	120,44
S₃×C₂×C₁₀	Direct product of C₂×C₁₀ and S₃	60		S3xC2xC10	120,45
C₂²×D₁₅	Direct product of C₂² and D₁₅	60		C2^2xD15	120,46

Groups of order 180

		d	ρ	Label	ID
Dic₃×C₁₅	Direct product of C₁₅ and Dic₃	60	2	Dic3xC15	180,14
C₃×Dic₁₅	Direct product of C₃ and Dic₁₅	60	2	C3xDic15	180,15
A₄×C₁₅	Direct product of C₁₅ and A₄	60	3	A4xC15	180,31
S₃×C₃₀	Direct product of C₃₀ and S₃	60	2	S3xC30	180,33
C₆×D₁₅	Direct product of C₆ and D₁₅	60	2	C6xD15	180,34

Groups of order 240

		d	ρ	Label	ID
C₅×C₄²⋊C₃	Direct product of C₅ and C₄²⋊C₃	60	3	C5xC4^2:C3	240,32
Dic₃×F₅	Direct product of Dic₃ and F₅	60	8-	Dic3xF5	240,95
D₆⋊F₅	The semidirect product of D₆ and F₅ acting via F₅/D₅=C₂	60	8+	D6:F5	240,96
Dic₃⋊F₅	The semidirect product of Dic₃ and F₅ acting via F₅/D₅=C₂	60	8-	Dic3:F5	240,97
C₅×A₄⋊C₄	Direct product of C₅ and A₄⋊C₄	60	3	C5xA4:C4	240,104
A₄⋊Dic₅	The semidirect product of A₄ and Dic₅ acting via Dic₅/C₁₀=C₂	60	6-	A4:Dic5	240,107
A₄×Dic₅	Direct product of A₄ and Dic₅	60	6-	A4xDic5	240,110
C₁₂×F₅	Direct product of C₁₂ and F₅	60	4	C12xF5	240,113
C₃×C₄⋊F₅	Direct product of C₃ and C₄⋊F₅	60	4	C3xC4:F5	240,114
C₃×C₂²⋊F₅	Direct product of C₃ and C₂²⋊F₅	60	4	C3xC2^2:F5	240,117
C₄×C₃⋊F₅	Direct product of C₄ and C₃⋊F₅	60	4	C4xC3:F5	240,120
C₆₀⋊C₄	1^st semidirect product of C₆₀ and C₄ acting faithfully	60	4	C60:C4	240,121
D₁₀.D₆	6^th non-split extension by D₁₀ of D₆ acting via D₆/C₆=C₂	60	4	D10.D6	240,124
C₄×S₃×D₅	Direct product of C₄, S₃ and D₅	60	4	C4xS3xD5	240,135
D₅×D₁₂	Direct product of D₅ and D₁₂	60	4+	D5xD12	240,136
S₃×D₂₀	Direct product of S₃ and D₂₀	60	4+	S3xD20	240,137
C₂₀⋊D₆	2^nd semidirect product of C₂₀ and D₆ acting via D₆/C₃=C₂²	60	4	C20:D6	240,138
D₅×C₃⋊D₄	Direct product of D₅ and C₃⋊D₄	60	4	D5xC3:D4	240,149
S₃×C₅⋊D₄	Direct product of S₃ and C₅⋊D₄	60	4	S3xC5:D4	240,150
D₁₀⋊D₆	4^th semidirect product of D₁₀ and D₆ acting via D₆/S₃=C₂	60	4+	D10:D6	240,151
A₄×C₂₀	Direct product of C₂₀ and A₄	60	3	A4xC20	240,152
C₃×D₄×D₅	Direct product of C₃, D₄ and D₅	60	4	C3xD4xD5	240,159
C₅×S₃×D₄	Direct product of C₅, S₃ and D₄	60	4	C5xS3xD4	240,169
D₄×D₁₅	Direct product of D₄ and D₁₅	60	4+	D4xD15	240,179
C₂×C₆×F₅	Direct product of C₂×C₆ and F₅	60		C2xC6xF5	240,200
C₂²×C₃⋊F₅	Direct product of C₂² and C₃⋊F₅	60		C2^2xC3:F5	240,201
C₂²×S₃×D₅	Direct product of C₂², S₃ and D₅	60		C2^2xS3xD5	240,202
A₄×C₂×C₁₀	Direct product of C₂×C₁₀ and A₄	60		A4xC2xC10	240,203
C₅×C₂²⋊A₄	Direct product of C₅ and C₂²⋊A₄	60		C5xC2^2:A4	240,204

Groups of order 300

		d	ρ	Label	ID
C₅²⋊₂Dic₃	The semidirect product of C₅² and Dic₃ acting via Dic₃/C₂=S₃	60	3	C5^2:2Dic3	300,13
C₅²⋊₂C₁₂	The semidirect product of C₅² and C₁₂ acting via C₁₂/C₂=C₆	60	6-	C5^2:2C12	300,14
C₄×C₅²⋊C₃	Direct product of C₄ and C₅²⋊C₃	60	3	C4xC5^2:C3	300,15
C₁₅×Dic₅	Direct product of C₁₅ and Dic₅	60	2	C15xDic5	300,16
C₅×Dic₁₅	Direct product of C₅ and Dic₁₅	60	2	C5xDic15	300,19
C₁₅×F₅	Direct product of C₁₅ and F₅	60	4	C15xF5	300,28
C₃×D₅.D₅	Direct product of C₃ and D₅.D₅	60	4	C3xD5.D5	300,29
C₅×C₃⋊F₅	Direct product of C₅ and C₃⋊F₅	60	4	C5xC3:F5	300,32
D₅.D₁₅	The non-split extension by D₅ of D₁₅ acting via D₁₅/C₁₅=C₂	60	4	D5.D15	300,33
C₂²×C₅²⋊C₃	Direct product of C₂² and C₅²⋊C₃	60		C2^2xC5^2:C3	300,41
D₅×C₃₀	Direct product of C₃₀ and D₅	60	2	D5xC30	300,44
C₁₀×D₁₅	Direct product of C₁₀ and D₁₅	60	2	C10xD15	300,47

Groups of order 360

		d	ρ	Label	ID
C₃×D₅×Dic₃	Direct product of C₃, D₅ and Dic₃	60	4	C3xD5xDic3	360,58
C₃×C₁₅⋊D₄	Direct product of C₃ and C₁₅⋊D₄	60	4	C3xC15:D4	360,61
C₃×C₃⋊D₂₀	Direct product of C₃ and C₃⋊D₂₀	60	4	C3xC3:D20	360,62
C₅×C₆.D₆	Direct product of C₅ and C₆.D₆	60	4	C5xC6.D6	360,73
C₅×C₃⋊D₁₂	Direct product of C₅ and C₃⋊D₁₂	60	4	C5xC3:D12	360,75
C₆.D₃₀	3^rd non-split extension by C₆ of D₃₀ acting via D₃₀/D₁₅=C₂	60	4+	C6.D30	360,79
C₃⋊D₆₀	The semidirect product of C₃ and D₆₀ acting via D₆₀/D₃₀=C₂	60	4+	C3:D60	360,81
D₆⋊₂D₁₅	2^nd semidirect product of D₆ and D₁₅ acting via D₁₅/C₁₅=C₂	60	4+	D6:2D15	360,82
Dic₁₅⋊S₃	3^rd semidirect product of Dic₁₅ and S₃ acting via S₃/C₃=C₂	60	4	Dic15:S3	360,85
D₃₀⋊S₃	3^rd semidirect product of D₃₀ and S₃ acting via S₃/C₃=C₂	60	4	D30:S3	360,86
C₁₅×C₃⋊D₄	Direct product of C₁₅ and C₃⋊D₄	60	2	C15xC3:D4	360,99
C₃×C₁₅⋊₇D₄	Direct product of C₃ and C₁₅⋊₇D₄	60	2	C3xC15:7D4	360,104
C₁₅×S₄	Direct product of C₁₅ and S₄	60	3	C15xS4	360,138
C₃×C₅⋊S₄	Direct product of C₃ and C₅⋊S₄	60	6	C3xC5:S4	360,139
C₅×C₃⋊S₄	Direct product of C₅ and C₃⋊S₄	60	6	C5xC3:S4	360,140
A₄⋊D₁₅	The semidirect product of A₄ and D₁₅ acting via D₁₅/C₁₅=C₂	60	6+	A4:D15	360,141
C₃×D₅×A₄	Direct product of C₃, D₅ and A₄	60	6	C3xD5xA4	360,142
C₅×S₃×A₄	Direct product of C₅, S₃ and A₄	60	6	C5xS3xA4	360,143
A₄×D₁₅	Direct product of A₄ and D₁₅	60	6+	A4xD15	360,144
C₆×C₃⋊F₅	Direct product of C₆ and C₃⋊F₅	60	4	C6xC3:F5	360,146
C₁₀×C₃²⋊C₄	Direct product of C₁₀ and C₃²⋊C₄	60	4	C10xC3^2:C4	360,148
C₂×C₃²⋊Dic₅	Direct product of C₂ and C₃²⋊Dic₅	60	4	C2xC3^2:Dic5	360,149
C₂×C₃²⋊F₅	Direct product of C₂ and C₃²⋊F₅	60	4+	C2xC3^2:F5	360,150
S₃×C₆×D₅	Direct product of C₆, S₃ and D₅	60	4	S3xC6xD5	360,151
S₃²×C₁₀	Direct product of C₁₀, S₃ and S₃	60	4	S3^2xC10	360,153
C₂×S₃×D₁₅	Direct product of C₂, S₃ and D₁₅	60	4+	C2xS3xD15	360,154
C₂×D₁₅⋊S₃	Direct product of C₂ and D₁₅⋊S₃	60	4	C2xD15:S3	360,155

Groups of order 480

		d	ρ	Label	ID
C₅×C₂³.₃A₄	Direct product of C₅ and C₂³.₃A₄	60	6	C5xC2^3.3A4	480,74
C₅×C₄²⋊S₃	Direct product of C₅ and C₄²⋊S₃	60	3	C5xC4^2:S3	480,254
C₄²⋊D₁₅	The semidirect product of C₄² and D₁₅ acting via D₁₅/C₅=S₃	60	6+	C4^2:D15	480,258
C₂₀⋊₄D₄⋊C₃	The semidirect product of C₂₀⋊₄D₄ and C₃ acting faithfully	60	6+	C20:4D4:C3	480,262
D₅×C₄²⋊C₃	Direct product of D₅ and C₄²⋊C₃	60	6	D5xC4^2:C3	480,264
C₁₀×C₄²⋊C₃	Direct product of C₁₀ and C₄²⋊C₃	60	3	C10xC4^2:C3	480,654
C₅×C₂³.A₄	Direct product of C₅ and C₂³.A₄	60	6	C5xC2^3.A4	480,658
Dic₅×S₄	Direct product of Dic₅ and S₄	60	6-	Dic5xS4	480,976
Dic₅⋊₂S₄	The semidirect product of Dic₅ and S₄ acting through Inn(Dic₅)	60	6	Dic5:2S4	480,977
Dic₅⋊S₄	The semidirect product of Dic₅ and S₄ acting via S₄/A₄=C₂	60	6	Dic5:S4	480,978
D₅×A₄⋊C₄	Direct product of D₅ and A₄⋊C₄	60	6	D5xA4:C4	480,979
D₁₀⋊S₄	1^st semidirect product of D₁₀ and S₄ acting via S₄/A₄=C₂	60	6	D10:S4	480,980
A₄⋊D₂₀	The semidirect product of A₄ and D₂₀ acting via D₂₀/D₁₀=C₂	60	6+	A4:D20	480,981
C₄×S₃×F₅	Direct product of C₄, S₃ and F₅	60	8	C4xS3xF5	480,994
F₅×D₁₂	Direct product of F₅ and D₁₂	60	8+	F5xD12	480,995
S₃×C₄⋊F₅	Direct product of S₃ and C₄⋊F₅	60	8	S3xC4:F5	480,996
D₆₀⋊₃C₄	3^rd semidirect product of D₆₀ and C₄ acting faithfully	60	8+	D60:3C4	480,997
F₅×C₃⋊D₄	Direct product of F₅ and C₃⋊D₄	60	8	F5xC3:D4	480,1010
S₃×C₂²⋊F₅	Direct product of S₃ and C₂²⋊F₅	60	8+	S3xC2^2:F5	480,1011
C₃⋊D₄⋊F₅	The semidirect product of C₃⋊D₄ and F₅ acting via F₅/D₅=C₂	60	8	C3:D4:F5	480,1012
C₂₀×S₄	Direct product of C₂₀ and S₄	60	3	C20xS4	480,1014
C₅×C₄⋊S₄	Direct product of C₅ and C₄⋊S₄	60	6	C5xC4:S4	480,1015
C₅×A₄⋊D₄	Direct product of C₅ and A₄⋊D₄	60	6	C5xA4:D4	480,1023
C₄×C₅⋊S₄	Direct product of C₄ and C₅⋊S₄	60	6	C4xC5:S4	480,1025
C₂₀⋊S₄	1^st semidirect product of C₂₀ and S₄ acting via S₄/A₄=C₂	60	6+	C20:S4	480,1026
C₂⁴⋊₂D₁₅	1^st semidirect product of C₂⁴ and D₁₅ acting via D₁₅/C₅=S₃	60	6	C2^4:2D15	480,1034
C₄×D₅×A₄	Direct product of C₄, D₅ and A₄	60	6	C4xD5xA4	480,1036
A₄×D₂₀	Direct product of A₄ and D₂₀	60	6+	A4xD20	480,1037
A₄×C₅⋊D₄	Direct product of A₄ and C₅⋊D₄	60	6	A4xC5:D4	480,1045
C₃×D₄×F₅	Direct product of C₃, D₄ and F₅	60	8	C3xD4xF5	480,1054
D₄×C₃⋊F₅	Direct product of D₄ and C₃⋊F₅	60	8	D4xC3:F5	480,1067
S₃×D₄×D₅	Direct product of S₃, D₄ and D₅	60	8+	S3xD4xD5	480,1097
C₅×D₄×A₄	Direct product of C₅, D₄ and A₄	60	6	C5xD4xA4	480,1127
C₂²×S₃×F₅	Direct product of C₂², S₃ and F₅	60		C2^2xS3xF5	480,1197
C₂×C₁₀×S₄	Direct product of C₂×C₁₀ and S₄	60		C2xC10xS4	480,1198
C₂²×C₅⋊S₄	Direct product of C₂² and C₅⋊S₄	60		C2^2xC5:S4	480,1199
C₂²×D₅×A₄	Direct product of C₂², D₅ and A₄	60		C2^2xD5xA4	480,1202
D₅×C₂²⋊A₄	Direct product of D₅ and C₂²⋊A₄	60		D5xC2^2:A4	480,1203
C₁₀×C₂²⋊A₄	Direct product of C₁₀ and C₂²⋊A₄	60		C10xC2^2:A4	480,1209

On 61 points

Groups of order 61

		d	ρ	Label	ID
C₆₁	Cyclic group	61	1	C61	61,1

Groups of order 122

		d	ρ	Label	ID
D₆₁	Dihedral group	61	2+	D61	122,1

Groups of order 183

		d	ρ	Label	ID
C₆₁⋊C₃	The semidirect product of C₆₁ and C₃ acting faithfully	61	3	C61:C3	183,1

Groups of order 244

		d	ρ	Label	ID
C₆₁⋊C₄	The semidirect product of C₆₁ and C₄ acting faithfully	61	4+	C61:C4	244,3

Groups of order 305

		d	ρ	Label	ID
C₆₁⋊C₅	The semidirect product of C₆₁ and C₅ acting faithfully	61	5	C61:C5	305,1

Groups of order 366

		d	ρ	Label	ID
C₆₁⋊C₆	The semidirect product of C₆₁ and C₆ acting faithfully	61	6+	C61:C6	366,1

On 62 points

Groups of order 62

		d	ρ	Label	ID
C₆₂	Cyclic group	62	1	C62	62,2

Groups of order 124

		d	ρ	Label	ID
D₆₂	Dihedral group; = C₂×D₃₁	62	2+	D62	124,3

Groups of order 186

		d	ρ	Label	ID
C₂×C₃₁⋊C₃	Direct product of C₂ and C₃₁⋊C₃	62	3	C2xC31:C3	186,2

Groups of order 310

		d	ρ	Label	ID
C₂×C₃₁⋊C₅	Direct product of C₂ and C₃₁⋊C₅	62	5	C2xC31:C5	310,2

Groups of order 372

		d	ρ	Label	ID
C₂×C₃₁⋊C₆	Direct product of C₂ and C₃₁⋊C₆	62	6+	C2xC31:C6	372,7

On 63 points

Groups of order 63

		d	ρ	Label	ID
C₇⋊C₉	The semidirect product of C₇ and C₉ acting via C₉/C₃=C₃	63	3	C7:C9	63,1
C₆₃	Cyclic group	63	1	C63	63,2
C₃×C₂₁	Abelian group of type [3,21]	63		C3xC21	63,4

Groups of order 126

		d	ρ	Label	ID
C₇⋊C₁₈	The semidirect product of C₇ and C₁₈ acting via C₁₈/C₃=C₆	63	6	C7:C18	126,1
C₇×D₉	Direct product of C₇ and D₉	63	2	C7xD9	126,3
C₉×D₇	Direct product of C₉ and D₇	63	2	C9xD7	126,4
D₆₃	Dihedral group	63	2+	D63	126,5
C₃²×D₇	Direct product of C₃² and D₇	63		C3^2xD7	126,11
C₇×C₃⋊S₃	Direct product of C₇ and C₃⋊S₃	63		C7xC3:S3	126,14
C₃⋊D₂₁	The semidirect product of C₃ and D₂₁ acting via D₂₁/C₂₁=C₂	63		C3:D21	126,15

Groups of order 189

		d	ρ	Label	ID
C₉×C₇⋊C₃	Direct product of C₉ and C₇⋊C₃	63	3	C9xC7:C3	189,3
C₆₃⋊C₃	2^nd semidirect product of C₆₃ and C₃ acting faithfully	63	3	C63:C3	189,4
C₆₃⋊₃C₃	3^rd semidirect product of C₆₃ and C₃ acting faithfully	63	3	C63:3C3	189,5
C₂₁.C₃²	5^th non-split extension by C₂₁ of C₃² acting via C₃²/C₃=C₃	63	3	C21.C3^2	189,7
C₇⋊He₃	The semidirect product of C₇ and He₃ acting via He₃/C₃²=C₃	63	3	C7:He3	189,8
C₇×He₃	Direct product of C₇ and He₃	63	3	C7xHe3	189,10
C₇×3_-¹⁺²	Direct product of C₇ and 3_-¹⁺²	63	3	C7xES-(3,1)	189,11
C₃²×C₇⋊C₃	Direct product of C₃² and C₇⋊C₃	63		C3^2xC7:C3	189,12

Groups of order 252

		d	ρ	Label	ID
D₇×D₉	Direct product of D₇ and D₉	63	4+	D7xD9	252,8
D₇×C₃⋊S₃	Direct product of D₇ and C₃⋊S₃	63		D7xC3:S3	252,34

Groups of order 378

		d	ρ	Label	ID
C₉×F₇	Direct product of C₉ and F₇	63	6	C9xF7	378,7
C₉⋊₃F₇	1^st semidirect product of C₉ and F₇ acting via F₇/D₇=C₃	63	6	C9:3F7	378,8
C₉⋊₄F₇	2^nd semidirect product of C₉ and F₇ acting via F₇/D₇=C₃	63	6	C9:4F7	378,9
C₃².F₇	The non-split extension by C₃² of F₇ acting via F₇/D₇=C₃	63	6	C3^2.F7	378,11
D₇⋊He₃	The semidirect product of D₇ and He₃ acting via He₃/C₃²=C₃	63	6	D7:He3	378,12
C₆₃⋊C₆	5^th semidirect product of C₆₃ and C₆ acting faithfully	63	6	C63:C6	378,13
C₆₃⋊₆C₆	6^th semidirect product of C₆₃ and C₆ acting faithfully	63	6	C63:6C6	378,14
D₉×C₇⋊C₃	Direct product of D₉ and C₇⋊C₃	63	6	D9xC7:C3	378,15
C₇⋊He₃⋊C₂	3^rd semidirect product of C₇⋊He₃ and C₂ acting faithfully	63	6	C7:He3:C2	378,17
C₉⋊F₇	1^st semidirect product of C₉ and F₇ acting via F₇/C₇=C₆	63	6+	C9:F7	378,18
C₉⋊₂F₇	2^nd semidirect product of C₉ and F₇ acting via F₇/C₇=C₆	63	6+	C9:2F7	378,19
C₉⋊₅F₇	The semidirect product of C₉ and F₇ acting via F₇/C₇⋊C₃=C₂	63	6+	C9:5F7	378,20
C₃²⋊F₇	The semidirect product of C₃² and F₇ acting via F₇/C₇=C₆	63	6+	C3^2:F7	378,22
D₇×He₃	Direct product of D₇ and He₃	63	6	D7xHe3	378,30
D₇×3_-¹⁺²	Direct product of D₇ and 3_-¹⁺²	63	6	D7xES-(3,1)	378,31
C₇×C₃²⋊C₆	Direct product of C₇ and C₃²⋊C₆	63	6	C7xC3^2:C6	378,34
C₇×C₉⋊C₆	Direct product of C₇ and C₉⋊C₆	63	6	C7xC9:C6	378,35
He₃⋊D₇	1^st semidirect product of He₃ and D₇ acting via D₇/C₇=C₂	63	6+	He3:D7	378,38
D₆₃⋊C₃	1^st semidirect product of D₆₃ and C₃ acting faithfully	63	6+	D63:C3	378,39
C₇×He₃⋊C₂	Direct product of C₇ and He₃⋊C₂	63	3	C7xHe3:C2	378,41
C₃²⋊D₂₁	2^nd semidirect product of C₃² and D₂₁ acting via D₂₁/C₇=S₃	63	6	C3^2:D21	378,43
C₃²×F₇	Direct product of C₃² and F₇	63		C3^2xF7	378,47
C₃⋊S₃×C₇⋊C₃	Direct product of C₃⋊S₃ and C₇⋊C₃	63		C3:S3xC7:C3	378,50
C₃²⋊₄F₇	2^nd semidirect product of C₃² and F₇ acting via F₇/C₇⋊C₃=C₂	63		C3^2:4F7	378,51

Groups of order 441

		d	ρ	Label	ID
C₇×C₇⋊C₉	Direct product of C₇ and C₇⋊C₉	63	3	C7xC7:C9	441,5
C₇²⋊₃C₉	3^rd semidirect product of C₇² and C₉ acting via C₉/C₃=C₃	63	3	C7^2:3C9	441,7
C₇⋊C₃×C₂₁	Direct product of C₂₁ and C₇⋊C₃	63	3	C7:C3xC21	441,10
C₃×C₇²⋊₃C₃	Direct product of C₃ and C₇²⋊₃C₃	63	3	C3xC7^2:3C3	441,12

On 64 points

Groups of order 64

		d	ρ	Label	ID
C₆₄	Cyclic group	64	1	C64	64,1
C₈²	Abelian group of type [8,8]	64		C8^2	64,2
C₈⋊C₈	3^rd semidirect product of C₈ and C₈ acting via C₈/C₄=C₂	64		C8:C8	64,3
Q₈⋊C₈	The semidirect product of Q₈ and C₈ acting via C₈/C₄=C₂	64		Q8:C8	64,7
C₄².₂C₂²	2^nd non-split extension by C₄² of C₂² acting faithfully	64		C4^2.2C2^2	64,11
C₄.₁₀D₈	2^nd non-split extension by C₄ of D₈ acting via D₈/D₄=C₂	64		C4.10D8	64,13
C₄.₆Q₁₆	2^nd non-split extension by C₄ of Q₁₆ acting via Q₁₆/Q₈=C₂	64		C4.6Q16	64,14
C₈⋊₂C₈	2^nd semidirect product of C₈ and C₈ acting via C₈/C₄=C₂	64		C8:2C8	64,15
C₈⋊₁C₈	1^st semidirect product of C₈ and C₈ acting via C₈/C₄=C₂	64		C8:1C8	64,16
C₂².₇C₄²	2^nd central extension by C₂² of C₄²	64		C2^2.7C4^2	64,17
C₂².₄Q₁₆	1^st central extension by C₂² of Q₁₆	64		C2^2.4Q16	64,21
C₄×C₁₆	Abelian group of type [4,16]	64		C4xC16	64,26
C₁₆⋊₅C₄	3^rd semidirect product of C₁₆ and C₄ acting via C₄/C₂=C₂	64		C16:5C4	64,27
C₂.Q₃₂	1^st central extension by C₂ of Q₃₂	64		C2.Q32	64,39
C₄⋊C₁₆	The semidirect product of C₄ and C₁₆ acting via C₁₆/C₈=C₂	64		C4:C16	64,44
C₁₆⋊₃C₄	1^st semidirect product of C₁₆ and C₄ acting via C₄/C₂=C₂	64		C16:3C4	64,47
C₁₆⋊₄C₄	2^nd semidirect product of C₁₆ and C₄ acting via C₄/C₂=C₂	64		C16:4C4	64,48
C₂×C₃₂	Abelian group of type [2,32]	64		C2xC32	64,50
Q₆₄	Generalised quaternion group; = C₃₂ .C₂ = Dic₁₆	64	2-	Q64	64,54
C₄³	Abelian group of type [4,4,4]	64		C4^3	64,55
C₂×C₂.C₄²	Direct product of C₂ and C₂.C₄²	64		C2xC2.C4^2	64,56
C₄²⋊₄C₄	1^st semidirect product of C₄² and C₄ acting via C₄/C₂=C₂	64		C4^2:4C4	64,57
C₄×C₄⋊C₄	Direct product of C₄ and C₄⋊C₄	64		C4xC4:C4	64,59
C₄²⋊₈C₄	5^th semidirect product of C₄² and C₄ acting via C₄/C₂=C₂	64		C4^2:8C4	64,63
C₄²⋊₅C₄	2^nd semidirect product of C₄² and C₄ acting via C₄/C₂=C₂	64		C4^2:5C4	64,64
C₄²⋊₉C₄	6^th semidirect product of C₄² and C₄ acting via C₄/C₂=C₂	64		C4^2:9C4	64,65
C₂³.₆₃C₂³	13^rd central extension by C₂³ of C₂³	64		C2^3.63C2^3	64,68
C₂³.₆₅C₂³	15^th central extension by C₂³ of C₂³	64		C2^3.65C2^3	64,70
C₂³.₆₇C₂³	17^th central extension by C₂³ of C₂³	64		C2^3.67C2^3	64,72
C₂³.₇₈C₂³	4^th central stem extension by C₂³ of C₂³	64		C2^3.78C2^3	64,76
C₂³.₈₁C₂³	7^th central stem extension by C₂³ of C₂³	64		C2^3.81C2^3	64,79
C₂³.₈₃C₂³	9^th central stem extension by C₂³ of C₂³	64		C2^3.83C2^3	64,81
C₂³.₈₄C₂³	10^th central stem extension by C₂³ of C₂³	64		C2^3.84C2^3	64,82
C₂×C₄×C₈	Abelian group of type [2,4,8]	64		C2xC4xC8	64,83
C₂×C₈⋊C₄	Direct product of C₂ and C₈⋊C₄	64		C2xC8:C4	64,84
C₂×Q₈⋊C₄	Direct product of C₂ and Q₈⋊C₄	64		C2xQ8:C4	64,96
C₂×C₄⋊C₈	Direct product of C₂ and C₄⋊C₈	64		C2xC4:C8	64,103
C₂×C₄.Q₈	Direct product of C₂ and C₄.Q₈	64		C2xC4.Q8	64,106
C₂×C₂.D₈	Direct product of C₂ and C₂.D₈	64		C2xC2.D8	64,107
C₄×Q₁₆	Direct product of C₄ and Q₁₆	64		C4xQ16	64,120
Q₁₆⋊C₄	3^rd semidirect product of Q₁₆ and C₄ acting via C₄/C₂=C₂	64		Q16:C4	64,122
C₈×Q₈	Direct product of C₈ and Q₈	64		C8xQ8	64,126
C₈⋊₄Q₈	3^rd semidirect product of C₈ and Q₈ acting via Q₈/C₄=C₂	64		C8:4Q8	64,127
C₄⋊₂Q₁₆	The semidirect product of C₄ and Q₁₆ acting via Q₁₆/Q₈=C₂	64		C4:2Q16	64,143
Q₈⋊Q₈	1^st semidirect product of Q₈ and Q₈ acting via Q₈/C₄=C₂	64		Q8:Q8	64,156
C₄.Q₁₆	3^rd non-split extension by C₄ of Q₁₆ acting via Q₁₆/Q₈=C₂	64		C4.Q16	64,158
Q₈.Q₈	The non-split extension by Q₈ of Q₈ acting via Q₈/C₄=C₂	64		Q8.Q8	64,160
C₄.SD₁₆	4^th non-split extension by C₄ of SD₁₆ acting via SD₁₆/C₈=C₂	64		C4.SD16	64,168
C₄².₃₀C₂²	30^th non-split extension by C₄² of C₂² acting faithfully	64		C4^2.30C2^2	64,172
C₄⋊Q₁₆	The semidirect product of C₄ and Q₁₆ acting via Q₁₆/C₈=C₂	64		C4:Q16	64,175
C₈⋊₃Q₈	2^nd semidirect product of C₈ and Q₈ acting via Q₈/C₄=C₂	64		C8:3Q8	64,179
C₈.₅Q₈	4^th non-split extension by C₈ of Q₈ acting via Q₈/C₄=C₂	64		C8.5Q8	64,180
C₈⋊₂Q₈	1^st semidirect product of C₈ and Q₈ acting via Q₈/C₄=C₂	64		C8:2Q8	64,181
C₈⋊Q₈	The semidirect product of C₈ and Q₈ acting via Q₈/C₂=C₂²	64		C8:Q8	64,182
C₂²×C₁₆	Abelian group of type [2,2,16]	64		C2^2xC16	64,183
C₂×Q₃₂	Direct product of C₂ and Q₃₂	64		C2xQ32	64,188
C₂²×C₄²	Abelian group of type [2,2,4,4]	64		C2^2xC4^2	64,192
C₂²×C₄⋊C₄	Direct product of C₂² and C₄⋊C₄	64		C2^2xC4:C4	64,194
C₂×C₄×Q₈	Direct product of C₂×C₄ and Q₈	64		C2xC4xQ8	64,197
C₂×C₄².C₂	Direct product of C₂ and C₄².C₂	64		C2xC4^2.C2	64,208
C₂×C₄⋊Q₈	Direct product of C₂ and C₄⋊Q₈	64		C2xC4:Q8	64,212
Q₈⋊₃Q₈	The semidirect product of Q₈ and Q₈ acting through Inn(Q₈)	64		Q8:3Q8	64,238
Q₈²	Direct product of Q₈ and Q₈	64		Q8^2	64,239
C₂².₅₈C₂⁴	44^th central stem extension by C₂² of C₂⁴	64		C2^2.58C2^4	64,245
C₂³×C₈	Abelian group of type [2,2,2,8]	64		C2^3xC8	64,246
C₂²×Q₁₆	Direct product of C₂² and Q₁₆	64		C2^2xQ16	64,252
C₂⁴×C₄	Abelian group of type [2,2,2,2,4]	64		C2^4xC4	64,260
Q₈×C₂³	Direct product of C₂³ and Q₈	64		Q8xC2^3	64,262
C₂⁶	Elementary abelian group of type [2,2,2,2,2,2]	64		C2^6	64,267

Groups of order 128

		d	ρ	Label	ID
(C₂×C₄).₉₈D₈	1^st non-split extension by C₂×C₄ of D₈ acting via D₈/D₄=C₂	64		(C2xC4).98D8	128,2
C₄².₂₀D₄	2^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.20D4	128,7
M₄(2)⋊C₈	2^nd semidirect product of M₄(2) and C₈ acting via C₈/C₄=C₂	64		M4(2):C8	128,10
C₂³.₁₉C₄²	1^st non-split extension by C₂³ of C₄² acting via C₄²/C₂×C₄=C₂	64		C2^3.19C4^2	128,12
C₄².₂Q₈	2^nd non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	64		C4^2.2Q8	128,13
C₄².₃Q₈	3^rd non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	64		C4^2.3Q8	128,15
C₄².₂₃D₄	5^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.23D4	128,19
C₄².₂₅D₄	7^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.25D4	128,22
C₄².₂₆D₄	8^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.26D4	128,23
C₄².₂₇D₄	9^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.27D4	128,24
C₄².₃₈₈D₄	21^st non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.388D4	128,31
C₄².₃₈₉D₄	22^nd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.389D4	128,33
C₄².₃₇₀D₄	3^rd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.370D4	128,34
C₄².₃₀D₄	12^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.30D4	128,39
C₄².₃₁D₄	13^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.31D4	128,40
C₄².₃₂D₄	14^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.32D4	128,41
C₂³.M₄(2)	2^nd non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₄=C₂²	64		C2^3.M4(2)	128,47
C₂².M₅(2)	2^nd non-split extension by C₂² of M₅(2) acting via M₅(2)/C₂×C₈=C₂	64		C2^2.M5(2)	128,54
C₂³.₇M₄(2)	3^rd non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₄=C₂²	64		C2^3.7M4(2)	128,55
D₄⋊C₁₆	The semidirect product of D₄ and C₁₆ acting via C₁₆/C₈=C₂	64		D4:C16	128,61
C₈.₃₁D₈	8^th non-split extension by C₈ of D₈ acting via D₈/D₄=C₂	64		C8.31D8	128,62
C₄.₁₆D₁₆	1^st central extension by C₄ of D₁₆	64		C4.16D16	128,63
D₈⋊C₈	3^rd semidirect product of D₈ and C₈ acting via C₈/C₄=C₂	64		D8:C8	128,65
C₂³.₁₂SD₁₆	2^nd non-split extension by C₂³ of SD₁₆ acting via SD₁₆/C₄=C₂²	64		C2^3.12SD16	128,81
C₂³.₁₃SD₁₆	3^rd non-split extension by C₂³ of SD₁₆ acting via SD₁₆/C₄=C₂²	64		C2^3.13SD16	128,82
C₈.₃₀D₈	7^th non-split extension by C₈ of D₈ acting via D₈/D₄=C₂	64		C8.30D8	128,92
C₄.D₁₆	1^st non-split extension by C₄ of D₁₆ acting via D₁₆/D₈=C₂	64		C4.D16	128,93
M₅(2)⋊C₄	5^th semidirect product of M₅(2) and C₄ acting via C₄/C₂=C₂	64		M5(2):C4	128,109
M₅(2)⋊₇C₄	7^th semidirect product of M₅(2) and C₄ acting via C₄/C₂=C₂	64		M5(2):7C4	128,111
C₈.₈C₄²	2^nd non-split extension by C₈ of C₄² acting via C₄²/C₂×C₄=C₂	64		C8.8C4^2	128,113
C₈.₉C₄²	3^rd non-split extension by C₈ of C₄² acting via C₄²/C₂×C₄=C₂	64		C8.9C4^2	128,114
C₈.₂C₄²	2^nd non-split extension by C₈ of C₄² acting via C₄²/C₂²=C₂²	64		C8.2C4^2	128,119
C₂²⋊C₃₂	The semidirect product of C₂² and C₃₂ acting via C₃₂/C₁₆=C₂	64		C2^2:C32	128,131
D₄.C₁₆	The non-split extension by D₄ of C₁₆ acting via C₁₆/C₈=C₂	64	2	D4.C16	128,133
D₁₆⋊₂C₄	1^st semidirect product of D₁₆ and C₄ acting via C₄/C₂=C₂	64		D16:2C4	128,147
D₁₆.C₄	1^st non-split extension by D₁₆ of C₄ acting via C₄/C₂=C₂	64	2	D16.C4	128,149
C₁₆.₁₈D₄	4^th non-split extension by C₁₆ of D₄ acting via D₄/C₂²=C₂	64	4-	C16.18D4	128,152
C₃₂.C₄	1^st non-split extension by C₃₂ of C₄ acting via C₄/C₂=C₂	64	2	C32.C4	128,157
M₇(2)	Modular maximal-cyclic group; = C₆₄ ⋊₃ C₂	64	2	M7(2)	128,160
D₆₄	Dihedral group	64	2+	D64	128,161
SD₁₂₈	Semidihedral group; = C₆₄ ⋊₂ C₂ = QD₁₂₈	64	2	SD128	128,162
C₂⁴.₁₇Q₈	1^st non-split extension by C₂⁴ of Q₈ acting via Q₈/C₄=C₂	64		C2^4.17Q8	128,165
C₂³⋊₂C₄²	1^st semidirect product of C₂³ and C₄² acting via C₄²/C₂²=C₂²	64		C2^3:2C4^2	128,169
C₂⁴.₅₀D₄	5^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.50D4	128,170
C₂⁴.₅Q₈	4^th non-split extension by C₂⁴ of Q₈ acting via Q₈/C₂=C₂²	64		C2^4.5Q8	128,171
C₂⁴.₅₂D₄	7^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.52D4	128,172
C₈×M₄(2)	Direct product of C₈ and M₄(2)	64		C8xM4(2)	128,181
C₈²⋊C₂	1^st semidirect product of C₈² and C₂ acting faithfully	64		C8^2:C2	128,182
C₈⋊₉M₄(2)	3^rd semidirect product of C₈ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	64		C8:9M4(2)	128,183
C₂³.₂₇C₄²	9^th non-split extension by C₂³ of C₄² acting via C₄²/C₂×C₄=C₂	64		C2^3.27C4^2	128,184
C₈²⋊₁₅C₂	15^th semidirect product of C₈² and C₂ acting faithfully	64		C8^2:15C2	128,185
C₈²⋊₂C₂	2^nd semidirect product of C₈² and C₂ acting faithfully	64		C8^2:2C2	128,186
C₈⋊₆M₄(2)	3^rd semidirect product of C₈ and M₄(2) acting via M₄(2)/C₈=C₂	64		C8:6M4(2)	128,187
C₂×C₂².M₄(2)	Direct product of C₂ and C₂².M₄(2)	64		C2xC2^2.M4(2)	128,189
C₄².₃₉₄D₄	27^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.394D4	128,193
C₄².₄₄D₄	26^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.44D4	128,199
C₄².₃₉₆D₄	29^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.396D4	128,202
C₂×D₄⋊C₈	Direct product of C₂ and D₄⋊C₈	64		C2xD4:C8	128,206
C₄².₄₅₅D₄	4^th central extension by C₄² of D₄	64		C4^2.455D4	128,208
C₄².₃₉₇D₄	30^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.397D4	128,209
C₄².₃₉₉D₄	32^nd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.399D4	128,211
C₄².₄₅D₄	27^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.45D4	128,212
C₄².₄₆D₄	28^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.46D4	128,213
C₄².₃₇₃D₄	6^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.373D4	128,214
C₄².₄₇D₄	29^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.47D4	128,215
C₄².₄₀₀D₄	33^rd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.400D4	128,216
C₄².₄₀₁D₄	34^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.401D4	128,217
Q₈⋊M₄(2)	1^st semidirect product of Q₈ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	64		Q8:M4(2)	128,219
C₄².₃₇₄D₄	7^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.374D4	128,220
D₄⋊₄M₄(2)	2^nd semidirect product of D₄ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	64		D4:4M4(2)	128,221
Q₈⋊₅M₄(2)	3^rd semidirect product of Q₈ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	64		Q8:5M4(2)	128,223
C₄².₃₁₅D₄	11^st non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.315D4	128,224
C₄².₃₁₆D₄	12^nd non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.316D4	128,225
C₄².₃₀₅D₄	1^st non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.305D4	128,226
C₄².₅₂D₄	34^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.52D4	128,227
C₄².₅₃D₄	35^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.53D4	128,228
C₄².₅₄D₄	36^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.54D4	128,229
C₂×C₄².C₂²	Direct product of C₂ and C₄².C₂²	64		C2xC4^2.C2^2	128,254
C₄².₆₆D₄	48^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.66D4	128,256
C₄².₄₀₅D₄	38^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.405D4	128,257
C₄².₄₀₆D₄	39^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.406D4	128,258
C₄².₄₀₈D₄	41^st non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.408D4	128,260
C₄².₃₇₆D₄	9^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.376D4	128,261
C₄².₆₇D₄	49^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.67D4	128,262
C₄².₆₈D₄	50^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.68D4	128,263
C₄².₆₉D₄	51^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.69D4	128,264
C₄².₇₁D₄	53^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.71D4	128,266
C₄².₇₂D₄	54^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.72D4	128,267
C₄².₇₃D₄	55^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.73D4	128,268
C₄².₇₄D₄	56^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.74D4	128,269
C₂×C₄.D₈	Direct product of C₂ and C₄.D₈	64		C2xC4.D8	128,270
C₄².₄₀₉D₄	42^nd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.409D4	128,272
C₄².₄₁₀D₄	43^rd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.410D4	128,274
C₄².₄₁₁D₄	44^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.411D4	128,275
C₄².₄₁₂D₄	45^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.412D4	128,276
C₄².₄₁₄D₄	47^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.414D4	128,278
C₄².₇₈D₄	60^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.78D4	128,279
C₄².₄₁₅D₄	48^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.415D4	128,280
C₄².₄₁₆D₄	49^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.416D4	128,281
C₄².₇₉D₄	61^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.79D4	128,282
C₄².₈₀D₄	62^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.80D4	128,283
C₄².₈₁D₄	63^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.81D4	128,284
C₄².₄₁₇D₄	50^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.417D4	128,285
C₄².₄₁₈D₄	51^st non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.418D4	128,286
C₄².₈₃D₄	65^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.83D4	128,288
C₄².₈₄D₄	66^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.84D4	128,289
C₄².₈₅D₄	67^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.85D4	128,290
C₄².₈₆D₄	68^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.86D4	128,291
C₄².₈₇D₄	69^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.87D4	128,292
C₄².₈₈D₄	70^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.88D4	128,293
C₄².₄₂Q₈	2^nd non-split extension by C₄² of Q₈ acting via Q₈/C₄=C₂	64		C4^2.42Q8	128,296
M₄(2)⋊₁C₈	1^st semidirect product of M₄(2) and C₈ acting via C₈/C₄=C₂	64		M4(2):1C8	128,297
C₈⋊₈M₄(2)	2^nd semidirect product of C₈ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	64		C8:8M4(2)	128,298
C₈⋊₇M₄(2)	1^st semidirect product of C₈ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	64		C8:7M4(2)	128,299
C₄².₄₃Q₈	3^rd non-split extension by C₄² of Q₈ acting via Q₈/C₄=C₂	64		C4^2.43Q8	128,300
C₈⋊₁M₄(2)	1^st semidirect product of C₈ and M₄(2) acting via M₄(2)/C₄=C₂²	64		C8:1M4(2)	128,301
C₄².₉₀D₄	72^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.90D4	128,302
C₄².₉₁D₄	73^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.91D4	128,303
C₄².Q₈	19^th non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	64		C4^2.Q8	128,304
C₄².₉₂D₄	74^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.92D4	128,305
C₄².₂₁Q₈	21^st non-split extension by C₄² of Q₈ acting via Q₈/C₂=C₂²	64		C4^2.21Q8	128,306
C₈×D₈	Direct product of C₈ and D₈	64		C8xD8	128,307
C₈×SD₁₆	Direct product of C₈ and SD₁₆	64		C8xSD16	128,308
SD₁₆⋊C₈	The semidirect product of SD₁₆ and C₈ acting via C₈/C₄=C₂	64		SD16:C8	128,310
D₈⋊₅C₈	5^th semidirect product of D₈ and C₈ acting via C₈/C₄=C₂	64		D8:5C8	128,312
C₈⋊₉D₈	3^rd semidirect product of C₈ and D₈ acting via D₈/D₄=C₂	64		C8:9D8	128,313
C₈⋊₁₂SD₁₆	3^rd semidirect product of C₈ and SD₁₆ acting via SD₁₆/D₄=C₂	64		C8:12SD16	128,314
C₈⋊₁₅SD₁₆	3^rd semidirect product of C₈ and SD₁₆ acting via SD₁₆/Q₈=C₂	64		C8:15SD16	128,315
D₄.M₄(2)	2^nd non-split extension by D₄ of M₄(2) acting via M₄(2)/C₈=C₂	64		D4.M4(2)	128,317
D₄⋊₂M₄(2)	2^nd semidirect product of D₄ and M₄(2) acting via M₄(2)/C₈=C₂	64		D4:2M4(2)	128,318
Q₈⋊₂M₄(2)	2^nd semidirect product of Q₈ and M₄(2) acting via M₄(2)/C₈=C₂	64		Q8:2M4(2)	128,320
C₈⋊₆D₈	3^rd semidirect product of C₈ and D₈ acting via D₈/C₈=C₂	64		C8:6D8	128,321
C₈⋊₉SD₁₆	3^rd semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₈=C₂	64		C8:9SD16	128,322
C₈⋊M₄(2)	2^nd semidirect product of C₈ and M₄(2) acting via M₄(2)/C₄=C₂²	64		C8:M4(2)	128,324
C₈⋊₃M₄(2)	3^rd semidirect product of C₈ and M₄(2) acting via M₄(2)/C₄=C₂²	64		C8:3M4(2)	128,326
C₄².₁₈₁C₂³	42^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.181C2^3	128,352
Q₈⋊D₈	1^st semidirect product of Q₈ and D₈ acting via D₈/D₄=C₂	64		Q8:D8	128,353
D₄⋊SD₁₆	1^st semidirect product of D₄ and SD₁₆ acting via SD₁₆/Q₈=C₂	64		D4:SD16	128,354
Q₈⋊SD₁₆	1^st semidirect product of Q₈ and SD₁₆ acting via SD₁₆/Q₈=C₂	64		Q8:SD16	128,355
C₄².₁₈₅C₂³	46^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.185C2^3	128,356
D₄⋊₃D₈	2^nd semidirect product of D₄ and D₈ acting via D₈/D₄=C₂	64		D4:3D8	128,357
Q₈⋊₆SD₁₆	2^nd semidirect product of Q₈ and SD₁₆ acting via SD₁₆/Q₈=C₂	64		Q8:6SD16	128,358
Q₈⋊₃D₈	2^nd semidirect product of Q₈ and D₈ acting via D₈/D₄=C₂	64		Q8:3D8	128,359
C₄².₁₈₉C₂³	50^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.189C2^3	128,360
C₄².₁₉₁C₂³	52^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.191C2^3	128,362
Q₈⋊₂SD₁₆	1^st semidirect product of Q₈ and SD₁₆ acting via SD₁₆/D₄=C₂	64		Q8:2SD16	128,363
D₄⋊Q₁₆	1^st semidirect product of D₄ and Q₁₆ acting via Q₁₆/Q₈=C₂	64		D4:Q16	128,364
C₄².₁₉₅C₂³	56^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.195C2^3	128,366
D₄.SD₁₆	The non-split extension by D₄ of SD₁₆ acting via SD₁₆/D₄=C₂	64		D4.SD16	128,367
D₄.₃Q₁₆	The non-split extension by D₄ of Q₁₆ acting via Q₁₆/Q₈=C₂	64		D4.3Q16	128,369
C₄².₁₉₉C₂³	60^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.199C2^3	128,370
C₄².₂₀₁C₂³	62^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.201C2^3	128,372
Q₈.D₈	1^st non-split extension by Q₈ of D₈ acting via D₈/D₄=C₂	64		Q8.D8	128,373
Q₈⋊₃SD₁₆	2^nd semidirect product of Q₈ and SD₁₆ acting via SD₁₆/D₄=C₂	64		Q8:3SD16	128,374
D₄.₅SD₁₆	1^st non-split extension by D₄ of SD₁₆ acting via SD₁₆/Q₈=C₂	64		D4.5SD16	128,375
D₄⋊₃Q₁₆	2^nd semidirect product of D₄ and Q₁₆ acting via Q₁₆/Q₈=C₂	64		D4:3Q16	128,376
C₄².₂₀₇C₂³	68^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.207C2^3	128,378
D₄.₇D₈	2^nd non-split extension by D₄ of D₈ acting via D₈/D₄=C₂	64		D4.7D8	128,379
D₄⋊₄Q₁₆	3^rd semidirect product of D₄ and Q₁₆ acting via Q₁₆/Q₈=C₂	64		D4:4Q16	128,381
C₄².₂₁₁C₂³	72^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.211C2^3	128,382
Q₈⋊₄SD₁₆	3^rd semidirect product of Q₈ and SD₁₆ acting via SD₁₆/D₄=C₂	64		Q8:4SD16	128,383
C₄².₂₁₃C₂³	74^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.213C2^3	128,384
D₄⋊₄SD₁₆	3^rd semidirect product of D₄ and SD₁₆ acting via SD₁₆/D₄=C₂	64		D4:4SD16	128,386
C₄².₂C₂³	2^nd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.2C2^3	128,388
C₄².₃C₂³	3^rd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.3C2^3	128,389
C₄².₄C₂³	4^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.4C2^3	128,390
C₄².₆C₂³	6^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.6C2^3	128,392
C₄².₇C₂³	7^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.7C2^3	128,393
C₄².₈C₂³	8^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.8C2^3	128,394
C₄².₁₀C₂³	10^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.10C2^3	128,396
C₈⋊₈D₈	2^nd semidirect product of C₈ and D₈ acting via D₈/D₄=C₂	64		C8:8D8	128,397
C₈⋊₁₄SD₁₆	2^nd semidirect product of C₈ and SD₁₆ acting via SD₁₆/Q₈=C₂	64		C8:14SD16	128,398
C₈⋊₇D₈	1^st semidirect product of C₈ and D₈ acting via D₈/D₄=C₂	64		C8:7D8	128,399
C₈⋊₁₃SD₁₆	1^st semidirect product of C₈ and SD₁₆ acting via SD₁₆/Q₈=C₂	64		C8:13SD16	128,400
C₈.₂₈D₈	5^th non-split extension by C₈ of D₈ acting via D₈/D₄=C₂	64		C8.28D8	128,401
C₈⋊₁₁SD₁₆	2^nd semidirect product of C₈ and SD₁₆ acting via SD₁₆/D₄=C₂	64		C8:11SD16	128,403
C₈⋊₁₀SD₁₆	1^st semidirect product of C₈ and SD₁₆ acting via SD₁₆/D₄=C₂	64		C8:10SD16	128,405
D₄.₁Q₁₆	1^st non-split extension by D₄ of Q₁₆ acting via Q₁₆/C₈=C₂	64		D4.1Q16	128,407
D₄.₂SD₁₆	2^nd non-split extension by D₄ of SD₁₆ acting via SD₁₆/C₈=C₂	64		D4.2SD16	128,409
Q₈.₂SD₁₆	2^nd non-split extension by Q₈ of SD₁₆ acting via SD₁₆/C₈=C₂	64		Q8.2SD16	128,410
D₄.₃SD₁₆	3^rd non-split extension by D₄ of SD₁₆ acting via SD₁₆/C₈=C₂	64		D4.3SD16	128,411
D₄.₂D₈	2^nd non-split extension by D₄ of D₈ acting via D₈/C₈=C₂	64		D4.2D8	128,413
Q₈.₂D₈	2^nd non-split extension by Q₈ of D₈ acting via D₈/C₈=C₂	64		Q8.2D8	128,414
D₄.Q₁₆	2^nd non-split extension by D₄ of Q₁₆ acting via Q₁₆/C₈=C₂	64		D4.Q16	128,415
C₈⋊D₈	1^st semidirect product of C₈ and D₈ acting via D₈/C₄=C₂²	64		C8:D8	128,417
C₈⋊SD₁₆	1^st semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8:SD16	128,418
C₈⋊₂D₈	2^nd semidirect product of C₈ and D₈ acting via D₈/C₄=C₂²	64		C8:2D8	128,419
C₈⋊₂SD₁₆	2^nd semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8:2SD16	128,420
C₈.D₈	1^st non-split extension by C₈ of D₈ acting via D₈/C₄=C₂²	64		C8.D8	128,421
C₈⋊₃SD₁₆	3^rd semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8:3SD16	128,423
C₈⋊₄SD₁₆	4^th semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8:4SD16	128,425
C₈.₈SD₁₆	8^th non-split extension by C₈ of SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8.8SD16	128,427
C₄².₂₄₈C₂³	109^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.248C2^3	128,429
C₄².₂₄₉C₂³	110^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.249C2^3	128,430
C₄².₂₅₀C₂³	111^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.250C2^3	128,431
C₄².₂₅₂C₂³	113^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.252C2^3	128,433
C₄².₂₅₃C₂³	114^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.253C2^3	128,434
C₄².₂₅₄C₂³	115^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.254C2^3	128,435
C₈⋊₈SD₁₆	2^nd semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₈=C₂	64		C8:8SD16	128,437
C₈⋊₅D₈	2^nd semidirect product of C₈ and D₈ acting via D₈/C₈=C₂	64		C8:5D8	128,438
C₈²⋊₁₂C₂	12^nd semidirect product of C₈² and C₂ acting faithfully	64		C8^2:12C2	128,440
C₈²⋊₅C₂	5^th semidirect product of C₈² and C₂ acting faithfully	64		C8^2:5C2	128,441
C₈²⋊₃C₂	3^rd semidirect product of C₈² and C₂ acting faithfully	64		C8^2:3C2	128,443
C₈⋊₄D₈	1^st semidirect product of C₈ and D₈ acting via D₈/C₈=C₂	64		C8:4D8	128,444
C₈⋊₅SD₁₆	5^th semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8:5SD16	128,446
C₈⋊₆SD₁₆	6^th semidirect product of C₈ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8:6SD16	128,447
C₄².₆₆₄C₂³	79^th non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.664C2^3	128,449
C₄².₆₆₆C₂³	81^st non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.666C2^3	128,451
C₄².₆₆₇C₂³	82^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.667C2^3	128,452
C₈⋊₃D₈	3^rd semidirect product of C₈ and D₈ acting via D₈/C₄=C₂²	64		C8:3D8	128,453
C₈.₂D₈	2^nd non-split extension by C₈ of D₈ acting via D₈/C₄=C₂²	64		C8.2D8	128,454
C₂³.₂₈C₄²	10^th non-split extension by C₂³ of C₄² acting via C₄²/C₂×C₄=C₂	64		C2^3.28C4^2	128,460
C₂³.₂₉C₄²	11^st non-split extension by C₂³ of C₄² acting via C₄²/C₂×C₄=C₂	64		C2^3.29C4^2	128,461
C₂⁴.₁₃₂D₄	1^st non-split extension by C₂⁴ of D₄ acting via D₄/C₄=C₂	64		C2^4.132D4	128,467
C₂⁴.₁₅₂D₄	7^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	64		C2^4.152D4	128,468
C₂×C₄.C₄²	Direct product of C₂ and C₄.C₄²	64		C2xC4.C4^2	128,469
C₂×C₂².C₄²	Direct product of C₂ and C₂².C₄²	64		C2xC2^2.C4^2	128,473
C₄×C₂²⋊C₈	Direct product of C₄ and C₂²⋊C₈	64		C4xC2^2:C8	128,480
C₄².₃₇₈D₄	11^st non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.378D4	128,481
C₄².₃₇₉D₄	12^nd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.379D4	128,482
C₈×C₂²⋊C₄	Direct product of C₈ and C₂²⋊C₄	64		C8xC2^2:C4	128,483
C₂³.₃₆C₄²	18^th non-split extension by C₂³ of C₄² acting via C₄²/C₂×C₄=C₂	64		C2^3.36C4^2	128,484
C₂³.₁₇C₄²	12^nd non-split extension by C₂³ of C₄² acting via C₄²/C₂²=C₂²	64		C2^3.17C4^2	128,485
C₄×C₄.₁₀D₄	Direct product of C₄ and C₄.₁₀D₄	64		C4xC4.10D4	128,488
C₄×D₄⋊C₄	Direct product of C₄ and D₄⋊C₄	64		C4xD4:C4	128,492
D₄⋊C₄²	3^rd semidirect product of D₄ and C₄² acting via C₄²/C₂×C₄=C₂	64		D4:C4^2	128,494
C₄×C₈.C₄	Direct product of C₄ and C₈.C₄	64		C4xC8.C4	128,509
C₈.₆C₄²	6^th non-split extension by C₈ of C₄² acting via C₄²/C₂²=C₂²	64		C8.6C4^2	128,510
C₂⁴.₅₁(C₂×C₄)	16^th non-split extension by C₂⁴ of C₂×C₄ acting via C₂×C₄/C₂=C₂²	64		C2^4.51(C2xC4)	128,512
C₂⁴.₁₅₅D₄	10^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	64		C2^4.155D4	128,519
C₂⁴.₆₅D₄	20^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.65D4	128,520
C₄².₄₂₅D₄	58^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.425D4	128,529
C₄².₉₅D₄	77^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.95D4	128,530
C₄².₉₇D₄	79^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.97D4	128,533
C₄².₉₈D₄	80^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.98D4	128,534
C₄².₁₀₀D₄	82^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.100D4	128,536
C₂⁴.₁₃₃D₄	2^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₄=C₂	64		C2^4.133D4	128,539
C₂³.₂₂D₈	1^st non-split extension by C₂³ of D₈ acting via D₈/C₈=C₂	64		C2^3.22D8	128,540
C₂⁴.₆₇D₄	22^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.67D4	128,541
C₄○D₄.₄Q₈	2^nd non-split extension by C₄○D₄ of Q₈ acting via Q₈/C₄=C₂	64		C4oD4.4Q8	128,547
C₄○D₄.₅Q₈	3^rd non-split extension by C₄○D₄ of Q₈ acting via Q₈/C₄=C₂	64		C4oD4.5Q8	128,548
C₂³.₃₂M₄(2)	9^th non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₂×C₄=C₂	64		C2^3.32M4(2)	128,549
C₂⁴.₅₃(C₂×C₄)	18^th non-split extension by C₂⁴ of C₂×C₄ acting via C₂×C₄/C₂=C₂²	64		C2^4.53(C2xC4)	128,550
C₂³.₃₆D₈	7^th non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.36D8	128,555
C₂⁴.₁₅₇D₄	12^nd non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	64		C2^4.157D4	128,556
C₂⁴.₆₉D₄	24^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.69D4	128,557
C₄².₃₂₂D₄	18^th non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.322D4	128,569
C₄².₁₀₄D₄	86^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.104D4	128,570
C₄².₃₂₄D₄	20^th non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.324D4	128,580
C₄².₁₀₆D₄	88^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.106D4	128,581
C₂³.₂₁M₄(2)	3^rd non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₈=C₂	64		C2^3.21M4(2)	128,582
(C₂×C₈).₁₉₅D₄	163^rd non-split extension by C₂×C₈ of D₄ acting via D₄/C₂=C₂²	64		(C2xC8).195D4	128,583
C₂³.₃₇D₈	8^th non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.37D8	128,584
C₂⁴.₁₅₉D₄	14^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	64		C2^4.159D4	128,585
C₂⁴.₇₁D₄	26^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.71D4	128,586
C₂.(C₄×D₈)	3^rd central stem extension by C₂ of C₄×D₈	64		C2.(C4xD8)	128,594
D₄⋊(C₄⋊C₄)	5^th semidirect product of D₄ and C₄⋊C₄ acting via C₄⋊C₄/C₂×C₄=C₂	64		D4:(C4:C4)	128,596
C₂³.₂₂M₄(2)	4^th non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₈=C₂	64		C2^3.22M4(2)	128,601
C₂³⋊₂M₄(2)	1^st semidirect product of C₂³ and M₄(2) acting via M₄(2)/C₄=C₂²	64		C2^3:2M4(2)	128,602
C₂⁴.₁₆₀D₄	15^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂²=C₂	64		C2^4.160D4	128,604
C₂⁴.₇₃D₄	28^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.73D4	128,605
C₂³.₃₈D₈	9^th non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.38D8	128,606
C₂⁴.₇₄D₄	29^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.74D4	128,607
(C₂×SD₁₆)⋊₁₄C₄	10^th semidirect product of C₂×SD₁₆ and C₄ acting via C₄/C₂=C₂	64		(C2xSD16):14C4	128,609
(C₂×C₄)⋊₉D₈	1^st semidirect product of C₂×C₄ and D₈ acting via D₈/D₄=C₂	64		(C2xC4):9D8	128,611
(C₂×SD₁₆)⋊₁₅C₄	11^st semidirect product of C₂×SD₁₆ and C₄ acting via C₄/C₂=C₂	64		(C2xSD16):15C4	128,612
C₂⁴.₁₃₅D₄	4^th non-split extension by C₂⁴ of D₄ acting via D₄/C₄=C₂	64		C2^4.135D4	128,624
C₂³.₂₃D₈	2^nd non-split extension by C₂³ of D₈ acting via D₈/C₈=C₂	64		C2^3.23D8	128,625
C₂⁴.₇₅D₄	30^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.75D4	128,626
C₂⁴.₇₆D₄	31^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.76D4	128,627
M₄(2).₄₉D₄	13^rd non-split extension by M₄(2) of D₄ acting via D₄/C₂²=C₂	64		M4(2).49D4	128,640
C₂²⋊C₄⋊₄C₈	3^rd semidirect product of C₂²⋊C₄ and C₈ acting via C₈/C₄=C₂	64		C2^2:C4:4C8	128,655
C₂³.₉M₄(2)	5^th non-split extension by C₂³ of M₄(2) acting via M₄(2)/C₄=C₂²	64		C2^3.9M4(2)	128,656
D₄⋊C₄⋊C₄	4^th semidirect product of D₄⋊C₄ and C₄ acting via C₄/C₂=C₂	64		D4:C4:C4	128,657
C₄.₆₇(C₄×D₄)	18^th non-split extension by C₄ of C₄×D₄ acting via C₄×D₄/C₂²⋊C₄=C₂	64		C4.67(C4xD4)	128,658
C₄.₁₀D₄⋊₃C₄	2^nd semidirect product of C₄.₁₀D₄ and C₄ acting via C₄/C₂=C₂	64		C4.10D4:3C4	128,662
C₂.(C₈⋊₇D₄)	3^rd central extension by C₂ of C₈⋊₇D₄	64		C2.(C8:7D4)	128,666
C₂.(C₈⋊₂D₄)	3^rd central extension by C₂ of C₈⋊₂D₄	64		C2.(C8:2D4)	128,668
C₄².₄₃₀D₄	63^rd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.430D4	128,682
M₄(2).₅Q₈	3^rd non-split extension by M₄(2) of Q₈ acting via Q₈/C₄=C₂	64		M4(2).5Q8	128,683
M₄(2).₆Q₈	4^th non-split extension by M₄(2) of Q₈ acting via Q₈/C₄=C₂	64		M4(2).6Q8	128,684
C₄².₃₂₅D₄	21^st non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.325D4	128,686
C₄².₁₀₉D₄	91^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.109D4	128,687
C₄².₄₃₂D₄	65^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.432D4	128,689
C₄².₄₃₃D₄	66^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.433D4	128,690
C₄².₁₁₀D₄	92^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.110D4	128,691
C₄².₁₁₂D₄	94^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.112D4	128,693
C₄².₁₁₄D₄	96^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.114D4	128,698
(C₂×C₄)⋊₉SD₁₆	1^st semidirect product of C₂×C₄ and SD₁₆ acting via SD₁₆/C₈=C₂	64		(C2xC4):9SD16	128,700
(C₂×C₄)⋊₆D₈	1^st semidirect product of C₂×C₄ and D₈ acting via D₈/C₈=C₂	64		(C2xC4):6D8	128,702
(C₂×D₈)⋊₁₀C₄	6^th semidirect product of C₂×D₈ and C₄ acting via C₄/C₂=C₂	64		(C2xD8):10C4	128,704
C₈⋊(C₂²⋊C₄)	3^rd semidirect product of C₈ and C₂²⋊C₄ acting via C₂²⋊C₄/C₂²=C₂²	64		C8:(C2^2:C4)	128,705
M₄(2).₃₃D₄	14^th non-split extension by M₄(2) of D₄ acting via D₄/C₄=C₂	64		M4(2).33D4	128,711
C₄².₁₁₈D₄	100^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.118D4	128,714
C₄².₁₁₉D₄	101^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.119D4	128,715
M₄(2)⋊₈Q₈	6^th semidirect product of M₄(2) and Q₈ acting via Q₈/C₄=C₂	64		M4(2):8Q8	128,729
C₄².₁₂₈D₄	110^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.128D4	128,730
C₂³⋊₂D₈	1^st semidirect product of C₂³ and D₈ acting via D₈/C₄=C₂²	64		C2^3:2D8	128,731
C₂³⋊₃SD₁₆	1^st semidirect product of C₂³ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		C2^3:3SD16	128,732
C₂³⋊₂Q₁₆	1^st semidirect product of C₂³ and Q₁₆ acting via Q₁₆/C₄=C₂²	64		C2^3:2Q16	128,733
(C₂×C₄)⋊₂D₈	1^st semidirect product of C₂×C₄ and D₈ acting via D₈/C₄=C₂²	64		(C2xC4):2D8	128,743
(C₂²×D₈).C₂	3^rd non-split extension by C₂²×D₈ of C₂ acting faithfully	64		(C2^2xD8).C2	128,744
(C₂×C₄)⋊₃SD₁₆	1^st semidirect product of C₂×C₄ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		(C2xC4):3SD16	128,745
(C₂×C₈)⋊₂₀D₄	16^th semidirect product of C₂×C₈ and D₄ acting via D₄/C₂=C₂²	64		(C2xC8):20D4	128,746
(C₂×C₈).₄₁D₄	9^th non-split extension by C₂×C₈ of D₄ acting via D₄/C₂=C₂²	64		(C2xC8).41D4	128,747
M₄(2).₆D₄	6^th non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	64		M4(2).6D4	128,752
(C₂×D₄)⋊Q₈	1^st semidirect product of C₂×D₄ and Q₈ acting via Q₈/C₂=C₂²	64		(C2xD4):Q8	128,755
C₄⋊C₄.₈₄D₄	39^th non-split extension by C₄⋊C₄ of D₄ acting via D₄/C₂=C₂²	64		C4:C4.84D4	128,757
C₂⁴.₈₃D₄	38^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.83D4	128,765
C₂⁴.₈₄D₄	39^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.84D4	128,766
C₂⁴.₈₅D₄	40^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.85D4	128,767
C₂⁴.₈₆D₄	41^st non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.86D4	128,768
C₄⋊C₄⋊₇D₄	4^th semidirect product of C₄⋊C₄ and D₄ acting via D₄/C₂=C₂²	64		C4:C4:7D4	128,773
C₄⋊C₄.₉₄D₄	49^th non-split extension by C₄⋊C₄ of D₄ acting via D₄/C₂=C₂²	64		C4:C4.94D4	128,774
C₄⋊C₄.₉₈D₄	53^rd non-split extension by C₄⋊C₄ of D₄ acting via D₄/C₂=C₂²	64		C4:C4.98D4	128,779
M₄(2).₁₁D₄	11^st non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	64		M4(2).11D4	128,784
(C₂×C₄)⋊₃D₈	2^nd semidirect product of C₂×C₄ and D₈ acting via D₈/C₄=C₂²	64		(C2xC4):3D8	128,786
(C₂×C₄)⋊₅SD₁₆	3^rd semidirect product of C₂×C₄ and SD₁₆ acting via SD₁₆/C₄=C₂²	64		(C2xC4):5SD16	128,787
M₄(2).₁₃D₄	13^rd non-split extension by M₄(2) of D₄ acting via D₄/C₂=C₂²	64		M4(2).13D4	128,796
C₄⋊C₄.₁₀₆D₄	61^st non-split extension by C₄⋊C₄ of D₄ acting via D₄/C₂=C₂²	64		C4:C4.106D4	128,797
(C₂×C₄).₂₃D₈	16^th non-split extension by C₂×C₄ of D₈ acting via D₈/C₄=C₂²	64		(C2xC4).23D8	128,799
(C₂×C₄).₂₄D₈	17^th non-split extension by C₂×C₄ of D₈ acting via D₈/C₄=C₂²	64		(C2xC4).24D8	128,803
C₄²⋊₈C₄⋊C₂	8^th semidirect product of C₄²⋊₈C₄ and C₂ acting faithfully	64		C4^2:8C4:C2	128,805
C₂³.₁₂D₈	5^th non-split extension by C₂³ of D₈ acting via D₈/C₄=C₂²	64		C2^3.12D8	128,807
C₂⁴.₈₈D₄	43^rd non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.88D4	128,808
C₂⁴.₈₉D₄	44^th non-split extension by C₂⁴ of D₄ acting via D₄/C₂=C₂²	64		C2^4.89D4	128,809
(C₂×C₈).₅₅D₄	23^rd non-split extension by C₂×C₈ of D₄ acting via D₄/C₂=C₂²	64		(C2xC8).55D4	128,810
(C₂×C₈).₁₆₅D₄	133^rd non-split extension by C₂×C₈ of D₄ acting via D₄/C₂=C₂²	64		(C2xC8).165D4	128,811
M₄(2).Q₈	1^st non-split extension by M₄(2) of Q₈ acting via Q₈/C₂=C₂²	64		M4(2).Q8	128,821
M₄(2).₂Q₈	2^nd non-split extension by M₄(2) of Q₈ acting via Q₈/C₂=C₂²	64		M4(2).2Q8	128,822
(C₂×C₈).₁₆₈D₄	136^th non-split extension by C₂×C₈ of D₄ acting via D₄/C₂=C₂²	64		(C2xC8).168D4	128,824
(C₂×C₄).₂₇D₈	20^th non-split extension by C₂×C₄ of D₈ acting via D₈/C₄=C₂²	64		(C2xC4).27D8	128,825
(C₂×C₈).₁₆₉D₄	137^th non-split extension by C₂×C₈ of D₄ acting via D₄/C₂=C₂²	64		(C2xC8).169D4	128,826
C₄×M₅(2)	Direct product of C₄ and M₅(2)	64		C4xM5(2)	128,839
C₁₆○₂M₅(2)	Central product of C₁₆ and M₅(2)	64		C16o2M5(2)	128,840
C₂×C₂²⋊C₁₆	Direct product of C₂ and C₂²⋊C₁₆	64		C2xC2^2:C16	128,843
(C₂×D₄).₅C₈	2^nd non-split extension by C₂×D₄ of C₈ acting via C₈/C₄=C₂	64		(C2xD4).5C8	128,845
C₂×D₄.C₈	Direct product of C₂ and D₄.C₈	64		C2xD4.C8	128,848
C₂×C₂.D₁₆	Direct product of C₂ and C₂.D₁₆	64		C2xC2.D16	128,868
C₂³.₂₄D₈	3^rd non-split extension by C₂³ of D₈ acting via D₈/C₈=C₂	64		C2^3.24D8	128,870
C₂³.₃₉D₈	10^th non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.39D8	128,871
C₂³.₄₁D₈	12^nd non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.41D8	128,873
C₂×D₈.C₄	Direct product of C₂ and D₈.C₄	64		C2xD8.C4	128,874
C₂×C₈.₁₇D₄	Direct product of C₂ and C₈.₁₇D₄	64		C2xC8.17D4	128,879
C₄⋊M₅(2)	The semidirect product of C₄ and M₅(2) acting via M₅(2)/C₂×C₈=C₂	64		C4:M5(2)	128,882
C₄⋊C₄.₇C₈	4^th non-split extension by C₄⋊C₄ of C₈ acting via C₈/C₄=C₂	64		C4:C4.7C8	128,883
C₂³.₂₅D₈	4^th non-split extension by C₂³ of D₈ acting via D₈/C₈=C₂	64		C2^3.25D8	128,890
M₅(2)⋊₁C₄	1^st semidirect product of M₅(2) and C₄ acting via C₄/C₂=C₂	64		M5(2):1C4	128,891
C₂×C₈.₄Q₈	Direct product of C₂ and C₈.₄Q₈	64		C2xC8.4Q8	128,892
C₄².₁₃C₈	10^th non-split extension by C₄² of C₈ acting via C₈/C₄=C₂	64		C4^2.13C8	128,894
C₄².₆C₈	3^rd non-split extension by C₄² of C₈ acting via C₈/C₄=C₂	64		C4^2.6C8	128,895
C₈.₁₂M₄(2)	7^th non-split extension by C₈ of M₄(2) acting via M₄(2)/C₈=C₂	64		C8.12M4(2)	128,896
D₄×C₁₆	Direct product of C₁₆ and D₄	64		D4xC16	128,899
C₁₆⋊₉D₄	3^rd semidirect product of C₁₆ and D₄ acting via D₄/C₂²=C₂	64		C16:9D4	128,900
C₁₆⋊₆D₄	3^rd semidirect product of C₁₆ and D₄ acting via D₄/C₄=C₂	64		C16:6D4	128,901
C₄×D₁₆	Direct product of C₄ and D₁₆	64		C4xD16	128,904
C₄×SD₃₂	Direct product of C₄ and SD₃₂	64		C4xSD32	128,905
SD₃₂⋊₃C₄	1^st semidirect product of SD₃₂ and C₄ acting via C₄/C₂=C₂	64		SD32:3C4	128,907
D₁₆⋊₄C₄	3^rd semidirect product of D₁₆ and C₄ acting via C₄/C₂=C₂	64		D16:4C4	128,909
Q₁₆⋊₇D₄	1^st semidirect product of Q₁₆ and D₄ acting via D₄/C₂²=C₂	64		Q16:7D4	128,917
D₈⋊₈D₄	2^nd semidirect product of D₈ and D₄ acting via D₄/C₂²=C₂	64		D8:8D4	128,918
Q₁₆.₈D₄	1^st non-split extension by Q₁₆ of D₄ acting via D₄/C₂²=C₂	64		Q16.8D4	128,920
D₈.₁₀D₄	2^nd non-split extension by D₈ of D₄ acting via D₄/C₂²=C₂	64		D8.10D4	128,921
D₈.₁₂D₄	4^th non-split extension by D₈ of D₄ acting via D₄/C₂²=C₂	64	4-	D8.12D4	128,927
D₈⋊₂D₄	1^st semidirect product of D₈ and D₄ acting via D₄/C₄=C₂	64		D8:2D4	128,938
Q₁₆⋊₂D₄	1^st semidirect product of Q₁₆ and D₄ acting via D₄/C₄=C₂	64		Q16:2D4	128,939
D₈.₄D₄	1^st non-split extension by D₈ of D₄ acting via D₄/C₄=C₂	64		D8.4D4	128,940
D₈.₅D₄	2^nd non-split extension by D₈ of D₄ acting via D₄/C₄=C₂	64		D8.5D4	128,942
Q₁₆.₅D₄	2^nd non-split extension by Q₁₆ of D₄ acting via D₄/C₄=C₂	64		Q16.5D4	128,943
C₁₆⋊₇D₄	1^st semidirect product of C₁₆ and D₄ acting via D₄/C₂²=C₂	64		C16:7D4	128,947
C₁₆.₁₉D₄	5^th non-split extension by C₁₆ of D₄ acting via D₄/C₂²=C₂	64		C16.19D4	128,948
C₁₆⋊₈D₄	2^nd semidirect product of C₁₆ and D₄ acting via D₄/C₂²=C₂	64		C16:8D4	128,949
C₁₆⋊D₄	1^st semidirect product of C₁₆ and D₄ acting via D₄/C₂=C₂²	64		C16:D4	128,950
C₁₆.D₄	1^st non-split extension by C₁₆ of D₄ acting via D₄/C₂=C₂²	64		C16.D4	128,951
C₁₆⋊₂D₄	2^nd semidirect product of C₁₆ and D₄ acting via D₄/C₂=C₂²	64		C16:2D4	128,952
D₄.₄D₈	4^th non-split extension by D₄ of D₈ acting via D₈/C₈=C₂	64	4-	D4.4D8	128,954
D₈⋊₁Q₈	1^st semidirect product of D₈ and Q₈ acting via Q₈/C₄=C₂	64		D8:1Q8	128,956
D₈⋊Q₈	2^nd semidirect product of D₈ and Q₈ acting via Q₈/C₄=C₂	64		D8:Q8	128,958
D₈.Q₈	1^st non-split extension by D₈ of Q₈ acting via Q₈/C₄=C₂	64		D8.Q8	128,960
C₂².D₁₆	3^rd non-split extension by C₂² of D₁₆ acting via D₁₆/D₈=C₂	64		C2^2.D16	128,964
C₂³.₄₉D₈	20^th non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.49D8	128,965
C₂³.₁₉D₈	12^nd non-split extension by C₂³ of D₈ acting via D₈/C₄=C₂²	64		C2^3.19D8	128,966
C₂³.₅₀D₈	21^st non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.50D8	128,967
C₂³.₅₁D₈	22^nd non-split extension by C₂³ of D₈ acting via D₈/D₄=C₂	64		C2^3.51D8	128,968
C₂³.₂₀D₈	13^rd non-split extension by C₂³ of D₈ acting via D₈/C₄=C₂²	64		C2^3.20D8	128,969
C₄.₄D₁₆	4^th non-split extension by C₄ of D₁₆ acting via D₁₆/C₁₆=C₂	64		C4.4D16	128,972
C₈.₂₂SD₁₆	8^th non-split extension by C₈ of SD₁₆ acting via SD₁₆/C₈=C₂	64		C8.22SD16	128,974
C₈.₁₂SD₁₆	12^nd non-split extension by C₈ of SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8.12SD16	128,975
C₈.₁₃SD₁₆	13^rd non-split extension by C₈ of SD₁₆ acting via SD₁₆/C₄=C₂²	64		C8.13SD16	128,976
C₄⋊D₁₆	The semidirect product of C₄ and D₁₆ acting via D₁₆/C₁₆=C₂	64		C4:D16	128,978
C₁₆⋊₅D₄	2^nd semidirect product of C₁₆ and D₄ acting via D₄/C₄=C₂	64		C16:5D4	128,980
C₈.₂₁D₈	12^nd non-split extension by C₈ of D₈ acting via D₈/C₈=C₂	64		C8.21D8	128,981
C₁₆⋊₃D₄	3^rd semidirect product of C₁₆ and D₄ acting via D₄/C₂=C₂²	64		C16:3D4	128,982
C₈.₇D₈	7^th non-split extension by C₈ of D₈ acting via D₈/C₄=C₂²	64		C8.7D8	128,983
C₂×M₆(2)	Direct product of C₂ and M₆(2)	64		C2xM6(2)	128,989
D₄○C₃₂	Central product of D₄ and C₃₂	64	2	D4oC32	128,990
C₂×D₃₂	Direct product of C₂ and D₃₂	64		C2xD32	128,991
C₂×SD₆₄	Direct product of C₂ and SD₆₄	64		C2xSD64	128,992
C₄○D₃₂	Central product of C₄ and D₃₂	64	2	C4oD32	128,994
Q₆₄⋊C₂	2^nd semidirect product of Q₆₄ and C₂ acting faithfully	64	4-	Q64:C2	128,996
C₂×C₄×C₂²⋊C₄	Direct product of C₂×C₄ and C₂²⋊C₄	64		C2xC4xC2^2:C4	128,1000
C₄×C₄²⋊C₂	Direct product of C₄ and C₄²⋊C₂	64		C4xC4^2:C2	128,1002
D₄×C₄²	Direct product of C₄² and D₄	64		D4xC4^2	128,1003
C₂⁴.₅₂₄C₂³	5^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.524C2^3	128,1006
D₄⋊₄C₄²	The semidirect product of D₄ and C₄² acting through Inn(D₄)	64		D4:4C4^2	128,1007
C₂×C₂³.₇Q₈	Direct product of C₂ and C₂³.₇Q₈	64		C2xC2^3.7Q8	128,1010
C₂×C₂³.₃₄D₄	Direct product of C₂ and C₂³.₃₄D₄	64		C2xC2^3.34D4	128,1011
C₂³.₁₆₅C₂⁴	18^th central extension by C₂³ of C₂⁴	64		C2^3.165C2^4	128,1015
C₂³.₁₆₇C₂⁴	20^th central extension by C₂³ of C₂⁴	64		C2^3.167C2^4	128,1017
C₂×C₂³.₈Q₈	Direct product of C₂ and C₂³.₈Q₈	64		C2xC2^3.8Q8	128,1018
C₂×C₂³.₂₃D₄	Direct product of C₂ and C₂³.₂₃D₄	64		C2xC2^3.23D4	128,1019
C₂×C₂⁴.C₂²	Direct product of C₂ and C₂⁴.C₂²	64		C2xC2^4.C2^2	128,1021
C₄²⋊₄₂D₄	1^st semidirect product of C₄² and D₄ acting via D₄/C₂²=C₂	64		C4^2:42D4	128,1022
C₂×C₂⁴.₃C₂²	Direct product of C₂ and C₂⁴.₃C₂²	64		C2xC2^4.3C2^2	128,1024
C₄³⋊₉C₂	9^th semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:9C2	128,1025
C₂³.₁₇₈C₂⁴	31^st central extension by C₂³ of C₂⁴	64		C2^3.178C2^4	128,1028
C₂³.₁₇₉C₂⁴	32^nd central extension by C₂³ of C₂⁴	64		C2^3.179C2^4	128,1029
C₄³⋊₂C₂	2^nd semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:2C2	128,1030
C₄×C₄⋊D₄	Direct product of C₄ and C₄⋊D₄	64		C4xC4:D4	128,1032
C₄×C₂².D₄	Direct product of C₄ and C₂².D₄	64		C4xC2^2.D4	128,1033
C₄×C₂²⋊Q₈	Direct product of C₄ and C₂²⋊Q₈	64		C4xC2^2:Q8	128,1034
C₄×C₄.₄D₄	Direct product of C₄ and C₄.₄D₄	64		C4xC4.4D4	128,1035
C₄×C₄²⋊₂C₂	Direct product of C₄ and C₄²⋊₂C₂	64		C4xC4^2:2C2	128,1036
C₄×C₄⋊₁D₄	Direct product of C₄ and C₄⋊₁D₄	64		C4xC4:1D4	128,1038
C₂³.₁₉₂C₂⁴	45^th central extension by C₂³ of C₂⁴	64		C2^3.192C2^4	128,1042
C₂⁴.₅₄₂C₂³	23^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.542C2^3	128,1043
C₂³.₁₉₅C₂⁴	48^th central extension by C₂³ of C₂⁴	64		C2^3.195C2^4	128,1045
C₂⁴.₁₉₂C₂³	32^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.192C2^3	128,1046
C₂⁴.₅₄₅C₂³	26^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.545C2^3	128,1048
C₂³.₁₉₉C₂⁴	52^nd central extension by C₂³ of C₂⁴	64		C2^3.199C2^4	128,1049
C₂⁴.₅₄₇C₂³	28^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.547C2^3	128,1050
C₂³.₂₀₁C₂⁴	54^th central extension by C₂³ of C₂⁴	64		C2^3.201C2^4	128,1051
C₂⁴.₁₉₅C₂³	35^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.195C2^3	128,1054
C₄².₁₅₉D₄	141^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.159D4	128,1055
C₄²⋊₁₃D₄	7^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:13D4	128,1056
C₂⁴.₁₉₈C₂³	38^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.198C2^3	128,1057
C₄².₁₆₀D₄	142^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.160D4	128,1058
C₄²⋊₁₄D₄	8^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:14D4	128,1060
C₂³.₂₁₁C₂⁴	64^th central extension by C₂³ of C₂⁴	64		C2^3.211C2^4	128,1061
C₂³.₂₁₄C₂⁴	67^th central extension by C₂³ of C₂⁴	64		C2^3.214C2^4	128,1064
C₂³.₂₁₅C₂⁴	68^th central extension by C₂³ of C₂⁴	64		C2^3.215C2^4	128,1065
C₂⁴.₂₀₃C₂³	43^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.203C2^3	128,1066
C₂⁴.₂₀₄C₂³	44^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.204C2^3	128,1067
C₂⁴.₂₀₅C₂³	45^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.205C2^3	128,1069
C₂⁴.₅₄₉C₂³	30^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.549C2^3	128,1071
Q₈×C₂²⋊C₄	Direct product of Q₈ and C₂²⋊C₄	64		Q8xC2^2:C4	128,1072
C₂³.₂₂₃C₂⁴	76^th central extension by C₂³ of C₂⁴	64		C2^3.223C2^4	128,1073
C₂³.₂₂₅C₂⁴	78^th central extension by C₂³ of C₂⁴	64		C2^3.225C2^4	128,1075
C₂³.₂₂₆C₂⁴	79^th central extension by C₂³ of C₂⁴	64		C2^3.226C2^4	128,1076
C₂³.₂₂₇C₂⁴	80^th central extension by C₂³ of C₂⁴	64		C2^3.227C2^4	128,1077
C₂⁴.₂₀₈C₂³	48^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.208C2^3	128,1078
C₂³.₂₂₉C₂⁴	82^nd central extension by C₂³ of C₂⁴	64		C2^3.229C2^4	128,1079
D₄×C₄⋊C₄	Direct product of D₄ and C₄⋊C₄	64		D4xC4:C4	128,1080
C₂³.₂₃₁C₂⁴	84^th central extension by C₂³ of C₂⁴	64		C2^3.231C2^4	128,1081
C₂³.₂₃₄C₂⁴	87^th central extension by C₂³ of C₂⁴	64		C2^3.234C2^4	128,1084
C₂³.₂₃₅C₂⁴	88^th central extension by C₂³ of C₂⁴	64		C2^3.235C2^4	128,1085
C₂³.₂₃₆C₂⁴	89^th central extension by C₂³ of C₂⁴	64		C2^3.236C2^4	128,1086
C₂⁴.₂₁₂C₂³	52^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.212C2^3	128,1089
C₂³.₂₄₁C₂⁴	94^th central extension by C₂³ of C₂⁴	64		C2^3.241C2^4	128,1091
C₂⁴.₅₅₈C₂³	39^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.558C2^3	128,1092
C₂⁴.₂₁₅C₂³	55^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.215C2^3	128,1093
C₂³.₂₄₄C₂⁴	97^th central extension by C₂³ of C₂⁴	64		C2^3.244C2^4	128,1094
C₂⁴.₂₁₇C₂³	57^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.217C2^3	128,1095
C₂⁴.₂₁₈C₂³	58^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.218C2^3	128,1096
C₂⁴.₂₁₉C₂³	59^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.219C2^3	128,1098
C₂⁴.₂₂₀C₂³	60^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.220C2^3	128,1099
C₂³.₂₅₀C₂⁴	103^rd central extension by C₂³ of C₂⁴	64		C2^3.250C2^4	128,1100
C₂⁴.₂₂₁C₂³	61^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.221C2^3	128,1104
C₂³.₂₅₅C₂⁴	108^th central extension by C₂³ of C₂⁴	64		C2^3.255C2^4	128,1105
C₂⁴.₂₂₃C₂³	63^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.223C2^3	128,1106
C₂⁴.₂₂₅C₂³	65^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.225C2^3	128,1108
C₂³.₂₅₉C₂⁴	112^nd central extension by C₂³ of C₂⁴	64		C2^3.259C2^4	128,1109
C₂⁴.₂₂₇C₂³	67^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.227C2^3	128,1110
C₂³.₂₆₁C₂⁴	114^th central extension by C₂³ of C₂⁴	64		C2^3.261C2^4	128,1111
C₂³.₂₆₂C₂⁴	115^th central extension by C₂³ of C₂⁴	64		C2^3.262C2^4	128,1112
C₂⁴.₂₃₀C₂³	70^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.230C2^3	128,1115
C₂×C₂³⋊₂D₄	Direct product of C₂ and C₂³⋊₂D₄	64		C2xC2^3:2D4	128,1116
C₂×C₂³⋊Q₈	Direct product of C₂ and C₂³⋊Q₈	64		C2xC2^3:Q8	128,1117
C₂×C₂³.₁₀D₄	Direct product of C₂ and C₂³.₁₀D₄	64		C2xC2^3.10D4	128,1118
C₂³.₂₈₈C₂⁴	5^th central stem extension by C₂³ of C₂⁴	64		C2^3.288C2^4	128,1120
C₂×C₂³.Q₈	Direct product of C₂ and C₂³.Q₈	64		C2xC2^3.Q8	128,1121
C₂×C₂³.₁₁D₄	Direct product of C₂ and C₂³.₁₁D₄	64		C2xC2^3.11D4	128,1122
C₄²⋊₁₅D₄	9^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:15D4	128,1124
C₂×C₂³.₄Q₈	Direct product of C₂ and C₂³.₄Q₈	64		C2xC2^3.4Q8	128,1125
C₂³.₂₉₅C₂⁴	12^nd central stem extension by C₂³ of C₂⁴	64		C2^3.295C2^4	128,1127
C₄².₁₆₂D₄	144^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.162D4	128,1128
C₄²⋊₁₆D₄	10^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:16D4	128,1129
C₄².₁₆₃D₄	145^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.163D4	128,1130
C₂³.₃₀₁C₂⁴	18^th central stem extension by C₂³ of C₂⁴	64		C2^3.301C2^4	128,1133
C₂⁴.₂₄₃C₂³	83^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.243C2^3	128,1138
C₂⁴.₂₄₄C₂³	84^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.244C2^3	128,1139
C₂³.₃₀₉C₂⁴	26^th central stem extension by C₂³ of C₂⁴	64		C2^3.309C2^4	128,1141
C₂³.₃₁₃C₂⁴	30^th central stem extension by C₂³ of C₂⁴	64		C2^3.313C2^4	128,1145
C₂⁴.₂₄₉C₂³	89^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.249C2^3	128,1146
C₂³.₃₁₅C₂⁴	32^nd central stem extension by C₂³ of C₂⁴	64		C2^3.315C2^4	128,1147
C₂³.₃₁₆C₂⁴	33^rd central stem extension by C₂³ of C₂⁴	64		C2^3.316C2^4	128,1148
C₂⁴.₂₅₂C₂³	92^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.252C2^3	128,1149
C₂⁴.₅₆₃C₂³	44^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.563C2^3	128,1151
C₂⁴.₂₅₄C₂³	94^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.254C2^3	128,1152
C₂³.₃₂₁C₂⁴	38^th central stem extension by C₂³ of C₂⁴	64		C2^3.321C2^4	128,1153
C₂³.₃₂₂C₂⁴	39^th central stem extension by C₂³ of C₂⁴	64		C2^3.322C2^4	128,1154
C₂³.₃₂₃C₂⁴	40^th central stem extension by C₂³ of C₂⁴	64		C2^3.323C2^4	128,1155
C₂⁴.₂₅₈C₂³	98^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.258C2^3	128,1157
C₂⁴.₂₅₉C₂³	99^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.259C2^3	128,1158
C₂³.₃₂₇C₂⁴	44^th central stem extension by C₂³ of C₂⁴	64		C2^3.327C2^4	128,1159
C₂³.₃₂₈C₂⁴	45^th central stem extension by C₂³ of C₂⁴	64		C2^3.328C2^4	128,1160
C₂³.₃₂₉C₂⁴	46^th central stem extension by C₂³ of C₂⁴	64		C2^3.329C2^4	128,1161
C₂⁴.₂₆₂C₂³	102^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.262C2^3	128,1162
C₂⁴.₂₆₃C₂³	103^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.263C2^3	128,1163
C₂⁴.₂₆₄C₂³	104^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.264C2^3	128,1164
C₂³.₃₃₄C₂⁴	51^st central stem extension by C₂³ of C₂⁴	64		C2^3.334C2^4	128,1166
C₂⁴.₅₆₅C₂³	46^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.565C2^3	128,1168
C₂⁴.₅₆₇C₂³	48^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.567C2^3	128,1170
C₂⁴.₂₆₇C₂³	107^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.267C2^3	128,1171
C₂⁴.₅₆₈C₂³	49^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.568C2^3	128,1172
C₂⁴.₂₆₈C₂³	108^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.268C2^3	128,1173
C₂⁴.₅₆₉C₂³	50^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.569C2^3	128,1174
C₂⁴.₂₆₉C₂³	109^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.269C2^3	128,1175
C₂³.₃₄₄C₂⁴	61^st central stem extension by C₂³ of C₂⁴	64		C2^3.344C2^4	128,1176
C₂³.₃₄₅C₂⁴	62^nd central stem extension by C₂³ of C₂⁴	64		C2^3.345C2^4	128,1177
C₂⁴.₂₇₁C₂³	111^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.271C2^3	128,1179
C₂³.₃₄₈C₂⁴	65^th central stem extension by C₂³ of C₂⁴	64		C2^3.348C2^4	128,1180
C₂³.₃₄₉C₂⁴	66^th central stem extension by C₂³ of C₂⁴	64		C2^3.349C2^4	128,1181
C₂³.₃₅₀C₂⁴	67^th central stem extension by C₂³ of C₂⁴	64		C2^3.350C2^4	128,1182
C₂³.₃₅₂C₂⁴	69^th central stem extension by C₂³ of C₂⁴	64		C2^3.352C2^4	128,1184
C₂³.₃₅₄C₂⁴	71^st central stem extension by C₂³ of C₂⁴	64		C2^3.354C2^4	128,1186
C₂⁴.₂₇₆C₂³	116^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.276C2^3	128,1187
C₂³.₃₅₆C₂⁴	73^rd central stem extension by C₂³ of C₂⁴	64		C2^3.356C2^4	128,1188
C₂⁴.₂₇₈C₂³	118^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.278C2^3	128,1189
C₂⁴.₂₇₉C₂³	119^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.279C2^3	128,1190
C₂³.₃₅₉C₂⁴	76^th central stem extension by C₂³ of C₂⁴	64		C2^3.359C2^4	128,1191
C₂³.₃₆₀C₂⁴	77^th central stem extension by C₂³ of C₂⁴	64		C2^3.360C2^4	128,1192
C₂⁴.₂₈₂C₂³	122^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.282C2^3	128,1193
C₂⁴.₂₈₃C₂³	123^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.283C2^3	128,1195
C₂³.₃₆₄C₂⁴	81^st central stem extension by C₂³ of C₂⁴	64		C2^3.364C2^4	128,1196
C₂⁴.₂₈₅C₂³	125^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.285C2^3	128,1197
C₂⁴.₂₈₆C₂³	126^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.286C2^3	128,1198
C₂³.₃₆₇C₂⁴	84^th central stem extension by C₂³ of C₂⁴	64		C2^3.367C2^4	128,1199
C₂³.₃₆₈C₂⁴	85^th central stem extension by C₂³ of C₂⁴	64		C2^3.368C2^4	128,1200
C₂³.₃₆₉C₂⁴	86^th central stem extension by C₂³ of C₂⁴	64		C2^3.369C2^4	128,1201
C₂⁴.₂₈₉C₂³	129^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.289C2^3	128,1202
C₂⁴.₂₉₀C₂³	130^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.290C2^3	128,1203
C₂⁴.₅₇₂C₂³	53^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.572C2^3	128,1205
C₂³.₃₇₄C₂⁴	91^st central stem extension by C₂³ of C₂⁴	64		C2^3.374C2^4	128,1206
C₂³.₃₇₅C₂⁴	92^nd central stem extension by C₂³ of C₂⁴	64		C2^3.375C2^4	128,1207
C₂⁴.₂₉₃C₂³	133^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.293C2^3	128,1208
C₂³.₃₇₇C₂⁴	94^th central stem extension by C₂³ of C₂⁴	64		C2^3.377C2^4	128,1209
C₂⁴.₂₉₅C₂³	135^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.295C2^3	128,1210
C₂³.₃₇₉C₂⁴	96^th central stem extension by C₂³ of C₂⁴	64		C2^3.379C2^4	128,1211
C₂⁴.₅₇₃C₂³	54^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.573C2^3	128,1213
C₂⁴.₅₇₆C₂³	57^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.576C2^3	128,1216
C₂³.₃₈₅C₂⁴	102^nd central stem extension by C₂³ of C₂⁴	64		C2^3.385C2^4	128,1217
C₂⁴.₂₉₉C₂³	139^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.299C2^3	128,1218
C₂⁴.₃₀₀C₂³	140^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.300C2^3	128,1219
C₂³.₃₈₈C₂⁴	105^th central stem extension by C₂³ of C₂⁴	64		C2^3.388C2^4	128,1220
C₂⁴.₃₀₁C₂³	141^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.301C2^3	128,1221
C₂³.₃₉₀C₂⁴	107^th central stem extension by C₂³ of C₂⁴	64		C2^3.390C2^4	128,1222
C₂³.₃₉₁C₂⁴	108^th central stem extension by C₂³ of C₂⁴	64		C2^3.391C2^4	128,1223
C₂³.₃₉₂C₂⁴	109^th central stem extension by C₂³ of C₂⁴	64		C2^3.392C2^4	128,1224
C₂⁴.₅₇₇C₂³	58^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.577C2^3	128,1225
C₂⁴.₃₀₄C₂³	144^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.304C2^3	128,1226
C₂³.₃₉₅C₂⁴	112^nd central stem extension by C₂³ of C₂⁴	64		C2^3.395C2^4	128,1227
C₂³.₃₉₆C₂⁴	113^rd central stem extension by C₂³ of C₂⁴	64		C2^3.396C2^4	128,1228
C₂³.₃₉₇C₂⁴	114^th central stem extension by C₂³ of C₂⁴	64		C2^3.397C2^4	128,1229
C₂³.₃₉₈C₂⁴	115^th central stem extension by C₂³ of C₂⁴	64		C2^3.398C2^4	128,1230
C₂⁴.₃₀₈C₂³	148^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.308C2^3	128,1231
C₂³.₄₀₀C₂⁴	117^th central stem extension by C₂³ of C₂⁴	64		C2^3.400C2^4	128,1232
C₂³.₄₀₁C₂⁴	118^th central stem extension by C₂³ of C₂⁴	64		C2^3.401C2^4	128,1233
C₂³.₄₀₂C₂⁴	119^th central stem extension by C₂³ of C₂⁴	64		C2^3.402C2^4	128,1234
C₂⁴.₅₇₉C₂³	60^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.579C2^3	128,1235
C₂³.₄₀₄C₂⁴	121^st central stem extension by C₂³ of C₂⁴	64		C2^3.404C2^4	128,1236
C₂³.₄₀₅C₂⁴	122^nd central stem extension by C₂³ of C₂⁴	64		C2^3.405C2^4	128,1237
C₂³.₄₁₀C₂⁴	127^th central stem extension by C₂³ of C₂⁴	64		C2^3.410C2^4	128,1242
C₂³.₄₁₂C₂⁴	129^th central stem extension by C₂³ of C₂⁴	64		C2^3.412C2^4	128,1244
C₂³.₄₁₃C₂⁴	130^th central stem extension by C₂³ of C₂⁴	64		C2^3.413C2^4	128,1245
C₂⁴.₃₀₉C₂³	149^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.309C2^3	128,1247
C₂³.₄₁₆C₂⁴	133^rd central stem extension by C₂³ of C₂⁴	64		C2^3.416C2^4	128,1248
C₂³.₄₁₇C₂⁴	134^th central stem extension by C₂³ of C₂⁴	64		C2^3.417C2^4	128,1249
C₂³.₄₁₈C₂⁴	135^th central stem extension by C₂³ of C₂⁴	64		C2^3.418C2^4	128,1250
C₂³.₄₁₉C₂⁴	136^th central stem extension by C₂³ of C₂⁴	64		C2^3.419C2^4	128,1251
C₂⁴.₃₁₁C₂³	151^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.311C2^3	128,1253
C₂³.₄₂₂C₂⁴	139^th central stem extension by C₂³ of C₂⁴	64		C2^3.422C2^4	128,1254
C₂⁴.₃₁₃C₂³	153^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.313C2^3	128,1255
C₂³.₄₂₅C₂⁴	142^nd central stem extension by C₂³ of C₂⁴	64		C2^3.425C2^4	128,1257
C₂³.₄₂₆C₂⁴	143^rd central stem extension by C₂³ of C₂⁴	64		C2^3.426C2^4	128,1258
C₂⁴.₃₁₅C₂³	155^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.315C2^3	128,1259
C₂³.₄₂₉C₂⁴	146^th central stem extension by C₂³ of C₂⁴	64		C2^3.429C2^4	128,1261
C₂³.₄₃₀C₂⁴	147^th central stem extension by C₂³ of C₂⁴	64		C2^3.430C2^4	128,1262
C₂³.₄₃₁C₂⁴	148^th central stem extension by C₂³ of C₂⁴	64		C2^3.431C2^4	128,1263
C₂³.₄₃₂C₂⁴	149^th central stem extension by C₂³ of C₂⁴	64		C2^3.432C2^4	128,1264
C₄²⋊₁₇D₄	11^st semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:17D4	128,1267
C₄².₁₆₅D₄	147^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.165D4	128,1268
C₄²⋊₁₈D₄	12^nd semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:18D4	128,1269
C₄².₁₆₆D₄	148^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.166D4	128,1270
C₄²⋊₁₉D₄	13^rd semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:19D4	128,1272
C₄²⋊₂₀D₄	14^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:20D4	128,1273
C₄².₁₆₇D₄	149^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.167D4	128,1274
C₂³.₄₄₃C₂⁴	160^th central stem extension by C₂³ of C₂⁴	64		C2^3.443C2^4	128,1275
C₄²⋊₂₁D₄	15^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:21D4	128,1276
C₄².₁₆₈D₄	150^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.168D4	128,1277
C₄².₁₇₀D₄	152^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.170D4	128,1279
C₄².₁₇₁D₄	153^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.171D4	128,1280
C₂³.₄₄₉C₂⁴	166^th central stem extension by C₂³ of C₂⁴	64		C2^3.449C2^4	128,1281
C₂⁴.₃₂₆C₂³	166^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.326C2^3	128,1285
C₂⁴.₃₂₇C₂³	167^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.327C2^3	128,1286
C₂³.₄₅₅C₂⁴	172^nd central stem extension by C₂³ of C₂⁴	64		C2^3.455C2^4	128,1287
C₂³.₄₅₆C₂⁴	173^rd central stem extension by C₂³ of C₂⁴	64		C2^3.456C2^4	128,1288
C₂³.₄₅₇C₂⁴	174^th central stem extension by C₂³ of C₂⁴	64		C2^3.457C2^4	128,1289
C₂³.₄₅₈C₂⁴	175^th central stem extension by C₂³ of C₂⁴	64		C2^3.458C2^4	128,1290
C₂⁴.₃₃₁C₂³	171^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.331C2^3	128,1291
C₂⁴.₃₃₂C₂³	172^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.332C2^3	128,1292
C₄².₁₇₂D₄	154^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.172D4	128,1294
C₄².₁₇₃D₄	155^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.173D4	128,1295
C₂⁴.₅₈₃C₂³	64^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.583C2^3	128,1296
C₄².₁₇₅D₄	157^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.175D4	128,1298
C₂⁴.₅₈₄C₂³	65^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.584C2^3	128,1301
C₂³.₄₇₂C₂⁴	189^th central stem extension by C₂³ of C₂⁴	64		C2^3.472C2^4	128,1304
C₂³.₄₇₃C₂⁴	190^th central stem extension by C₂³ of C₂⁴	64		C2^3.473C2^4	128,1305
C₂⁴.₃₃₈C₂³	178^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.338C2^3	128,1306
C₂⁴.₃₃₉C₂³	179^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.339C2^3	128,1307
C₂⁴.₃₄₀C₂³	180^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.340C2^3	128,1308
C₂⁴.₃₄₁C₂³	181^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.341C2^3	128,1309
C₂³.₄₇₈C₂⁴	195^th central stem extension by C₂³ of C₂⁴	64		C2^3.478C2^4	128,1310
C₂³.₄₇₉C₂⁴	196^th central stem extension by C₂³ of C₂⁴	64		C2^3.479C2^4	128,1311
C₄².₁₇₈D₄	160^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.178D4	128,1312
C₂³.₄₈₃C₂⁴	200^th central stem extension by C₂³ of C₂⁴	64		C2^3.483C2^4	128,1315
C₂⁴.₃₄₅C₂³	185^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.345C2^3	128,1319
C₂⁴.₃₄₆C₂³	186^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.346C2^3	128,1321
C₂³.₄₉₁C₂⁴	208^th central stem extension by C₂³ of C₂⁴	64		C2^3.491C2^4	128,1323
C₄².₁₈₂D₄	164^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.182D4	128,1324
C₂³.₄₉₃C₂⁴	210^th central stem extension by C₂³ of C₂⁴	64		C2^3.493C2^4	128,1325
C₂³.₄₉₄C₂⁴	211^st central stem extension by C₂³ of C₂⁴	64		C2^3.494C2^4	128,1326
C₂⁴.₃₄₇C₂³	187^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.347C2^3	128,1327
C₂³.₄₉₆C₂⁴	213^rd central stem extension by C₂³ of C₂⁴	64		C2^3.496C2^4	128,1328
C₂⁴.₃₄₈C₂³	188^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.348C2^3	128,1329
C₄²⋊₂₂D₄	16^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:22D4	128,1330
C₄².₁₈₃D₄	165^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.183D4	128,1331
C₂³.₅₀₀C₂⁴	217^th central stem extension by C₂³ of C₂⁴	64		C2^3.500C2^4	128,1332
C₄²⋊₂₃D₄	17^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:23D4	128,1333
C₂³.₅₀₂C₂⁴	219^th central stem extension by C₂³ of C₂⁴	64		C2^3.502C2^4	128,1334
C₄²⋊₂₄D₄	18^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:24D4	128,1335
C₄².₁₈₄D₄	166^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.184D4	128,1336
C₂⁴.₃₅₅C₂³	195^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.355C2^3	128,1339
C₂³.₅₀₈C₂⁴	225^th central stem extension by C₂³ of C₂⁴	64		C2^3.508C2^4	128,1340
C₄²⋊₂₅D₄	19^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:25D4	128,1341
C₄²⋊₂₆D₄	20^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:26D4	128,1342
C₄².₁₈₅D₄	167^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.185D4	128,1343
C₂³.₅₁₄C₂⁴	231^st central stem extension by C₂³ of C₂⁴	64		C2^3.514C2^4	128,1346
C₂⁴.₃₆₀C₂³	200^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.360C2^3	128,1347
C₂⁴.₃₆₁C₂³	201^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.361C2^3	128,1348
C₂⁴.₅₈₇C₂³	68^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.587C2^3	128,1350
C₄²⋊₂₇D₄	21^st semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:27D4	128,1351
C₄²⋊₂₈D₄	22^nd semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:28D4	128,1352
C₄².₁₈₆D₄	168^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.186D4	128,1353
C₂⁴.₅₈₉C₂³	70^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.589C2^3	128,1355
C₂³.₅₂₄C₂⁴	241^st central stem extension by C₂³ of C₂⁴	64		C2^3.524C2^4	128,1356
C₂³.₅₂₅C₂⁴	242^nd central stem extension by C₂³ of C₂⁴	64		C2^3.525C2^4	128,1357
C₂³.₅₂₇C₂⁴	244^th central stem extension by C₂³ of C₂⁴	64		C2^3.527C2^4	128,1359
C₄².₁₈₇D₄	169^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.187D4	128,1360
C₄².₁₈₈D₄	170^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.188D4	128,1361
C₂³.₅₃₀C₂⁴	247^th central stem extension by C₂³ of C₂⁴	64		C2^3.530C2^4	128,1362
C₄²⋊₂₉D₄	23^rd semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:29D4	128,1363
C₄².₁₈₉D₄	171^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.189D4	128,1364
C₄².₁₉₀D₄	172^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.190D4	128,1365
C₂³.₅₃₅C₂⁴	252^nd central stem extension by C₂³ of C₂⁴	64		C2^3.535C2^4	128,1367
C₄²⋊₃₀D₄	24^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:30D4	128,1368
C₄².₁₉₂D₄	174^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.192D4	128,1369
C₂⁴.₃₇₄C₂³	214^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.374C2^3	128,1370
C₂⁴.₅₉₂C₂³	73^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.592C2^3	128,1371
C₄².₁₉₃D₄	175^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.193D4	128,1372
C₄².₁₉₄D₄	176^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.194D4	128,1373
C₂³.₅₄₃C₂⁴	260^th central stem extension by C₂³ of C₂⁴	64		C2^3.543C2^4	128,1375
C₂³.₅₄₄C₂⁴	261^st central stem extension by C₂³ of C₂⁴	64		C2^3.544C2^4	128,1376
C₂³.₅₄₆C₂⁴	263^rd central stem extension by C₂³ of C₂⁴	64		C2^3.546C2^4	128,1378
C₂³.₅₄₈C₂⁴	265^th central stem extension by C₂³ of C₂⁴	64		C2^3.548C2^4	128,1380
C₂⁴.₃₇₅C₂³	215^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.375C2^3	128,1381
C₂³.₅₅₀C₂⁴	267^th central stem extension by C₂³ of C₂⁴	64		C2^3.550C2^4	128,1382
C₂³.₅₅₁C₂⁴	268^th central stem extension by C₂³ of C₂⁴	64		C2^3.551C2^4	128,1383
C₂⁴.₃₇₆C₂³	216^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.376C2^3	128,1384
C₂³.₅₅₃C₂⁴	270^th central stem extension by C₂³ of C₂⁴	64		C2^3.553C2^4	128,1385
C₂³.₅₅₄C₂⁴	271^st central stem extension by C₂³ of C₂⁴	64		C2^3.554C2^4	128,1386
C₂³.₅₅₆C₂⁴	273^rd central stem extension by C₂³ of C₂⁴	64		C2^3.556C2^4	128,1388
C₄²⋊₃₁D₄	25^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:31D4	128,1389
C₄².₁₉₆D₄	178^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.196D4	128,1390
C₂³.₅₅₉C₂⁴	276^th central stem extension by C₂³ of C₂⁴	64		C2^3.559C2^4	128,1391
C₂⁴.₃₇₇C₂³	217^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.377C2^3	128,1393
C₄²⋊₃₂D₄	26^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:32D4	128,1394
C₂⁴.₃₇₈C₂³	218^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.378C2^3	128,1395
C₄².₁₉₈D₄	180^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.198D4	128,1396
C₂⁴.₃₇₉C₂³	219^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.379C2^3	128,1397
C₂³.₅₆₇C₂⁴	284^th central stem extension by C₂³ of C₂⁴	64		C2^3.567C2^4	128,1399
C₂³.₅₇₁C₂⁴	288^th central stem extension by C₂³ of C₂⁴	64		C2^3.571C2^4	128,1403
C₂³.₅₇₂C₂⁴	289^th central stem extension by C₂³ of C₂⁴	64		C2^3.572C2^4	128,1404
C₂³.₅₇₃C₂⁴	290^th central stem extension by C₂³ of C₂⁴	64		C2^3.573C2^4	128,1405
C₂³.₅₇₄C₂⁴	291^st central stem extension by C₂³ of C₂⁴	64		C2^3.574C2^4	128,1406
C₂⁴.₃₈₄C₂³	224^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.384C2^3	128,1407
C₂³.₅₇₆C₂⁴	293^rd central stem extension by C₂³ of C₂⁴	64		C2^3.576C2^4	128,1408
C₂⁴.₃₈₅C₂³	225^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.385C2^3	128,1409
C₂³.₅₈₀C₂⁴	297^th central stem extension by C₂³ of C₂⁴	64		C2^3.580C2^4	128,1412
C₂³.₅₈₁C₂⁴	298^th central stem extension by C₂³ of C₂⁴	64		C2^3.581C2^4	128,1413
C₂⁴.₃₈₉C₂³	229^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.389C2^3	128,1414
C₂³.₅₈₃C₂⁴	300^th central stem extension by C₂³ of C₂⁴	64		C2^3.583C2^4	128,1415
C₂⁴.₃₉₃C₂³	233^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.393C2^3	128,1418
C₂⁴.₃₉₄C₂³	234^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.394C2^3	128,1419
C₂⁴.₃₉₅C₂³	235^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.395C2^3	128,1420
C₂³.₅₈₉C₂⁴	306^th central stem extension by C₂³ of C₂⁴	64		C2^3.589C2^4	128,1421
C₂³.₅₉₀C₂⁴	307^th central stem extension by C₂³ of C₂⁴	64		C2^3.590C2^4	128,1422
C₂³.₅₉₁C₂⁴	308^th central stem extension by C₂³ of C₂⁴	64		C2^3.591C2^4	128,1423
C₂³.₅₉₂C₂⁴	309^th central stem extension by C₂³ of C₂⁴	64		C2^3.592C2^4	128,1424
C₂³.₅₉₃C₂⁴	310^th central stem extension by C₂³ of C₂⁴	64		C2^3.593C2^4	128,1425
C₂⁴.₄₀₁C₂³	241^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.401C2^3	128,1426
C₂³.₅₉₅C₂⁴	312^nd central stem extension by C₂³ of C₂⁴	64		C2^3.595C2^4	128,1427
C₂⁴.₄₀₃C₂³	243^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.403C2^3	128,1428
C₂⁴.₄₀₅C₂³	245^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.405C2^3	128,1430
C₂⁴.₄₀₆C₂³	246^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.406C2^3	128,1431
C₂³.₆₀₀C₂⁴	317^th central stem extension by C₂³ of C₂⁴	64		C2^3.600C2^4	128,1432
C₂⁴.₄₀₇C₂³	247^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.407C2^3	128,1433
C₂³.₆₀₂C₂⁴	319^th central stem extension by C₂³ of C₂⁴	64		C2^3.602C2^4	128,1434
C₂³.₆₀₃C₂⁴	320^th central stem extension by C₂³ of C₂⁴	64		C2^3.603C2^4	128,1435
C₂⁴.₄₀₈C₂³	248^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.408C2^3	128,1436
C₂³.₆₀₅C₂⁴	322^nd central stem extension by C₂³ of C₂⁴	64		C2^3.605C2^4	128,1437
C₂³.₆₀₆C₂⁴	323^rd central stem extension by C₂³ of C₂⁴	64		C2^3.606C2^4	128,1438
C₂³.₆₀₇C₂⁴	324^th central stem extension by C₂³ of C₂⁴	64		C2^3.607C2^4	128,1439
C₂³.₆₀₈C₂⁴	325^th central stem extension by C₂³ of C₂⁴	64		C2^3.608C2^4	128,1440
C₂⁴.₄₁₁C₂³	251^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.411C2^3	128,1441
C₂⁴.₄₁₂C₂³	252^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.412C2^3	128,1442
C₂³.₆₁₁C₂⁴	328^th central stem extension by C₂³ of C₂⁴	64		C2^3.611C2^4	128,1443
C₂³.₆₁₂C₂⁴	329^th central stem extension by C₂³ of C₂⁴	64		C2^3.612C2^4	128,1444
C₂⁴.₄₁₃C₂³	253^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.413C2^3	128,1446
C₂³.₆₁₅C₂⁴	332^nd central stem extension by C₂³ of C₂⁴	64		C2^3.615C2^4	128,1447
C₂³.₆₁₆C₂⁴	333^rd central stem extension by C₂³ of C₂⁴	64		C2^3.616C2^4	128,1448
C₂³.₆₁₇C₂⁴	334^th central stem extension by C₂³ of C₂⁴	64		C2^3.617C2^4	128,1449
C₂³.₆₁₈C₂⁴	335^th central stem extension by C₂³ of C₂⁴	64		C2^3.618C2^4	128,1450
C₂³.₆₂₀C₂⁴	337^th central stem extension by C₂³ of C₂⁴	64		C2^3.620C2^4	128,1452
C₂³.₆₂₁C₂⁴	338^th central stem extension by C₂³ of C₂⁴	64		C2^3.621C2^4	128,1453
C₂³.₆₂₂C₂⁴	339^th central stem extension by C₂³ of C₂⁴	64		C2^3.622C2^4	128,1454
C₂⁴.₄₁₈C₂³	258^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.418C2^3	128,1455
C₂³.₆₂₄C₂⁴	341^st central stem extension by C₂³ of C₂⁴	64		C2^3.624C2^4	128,1456
C₂³.₆₂₅C₂⁴	342^nd central stem extension by C₂³ of C₂⁴	64		C2^3.625C2^4	128,1457
C₂³.₆₂₇C₂⁴	344^th central stem extension by C₂³ of C₂⁴	64		C2^3.627C2^4	128,1459
C₂⁴.₄₂₀C₂³	260^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.420C2^3	128,1460
C₂⁴.₄₂₁C₂³	261^st non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.421C2^3	128,1461
C₂³.₆₃₀C₂⁴	347^th central stem extension by C₂³ of C₂⁴	64		C2^3.630C2^4	128,1462
C₂³.₆₃₁C₂⁴	348^th central stem extension by C₂³ of C₂⁴	64		C2^3.631C2^4	128,1463
C₂³.₆₃₂C₂⁴	349^th central stem extension by C₂³ of C₂⁴	64		C2^3.632C2^4	128,1464
C₂³.₆₃₃C₂⁴	350^th central stem extension by C₂³ of C₂⁴	64		C2^3.633C2^4	128,1465
C₂³.₆₃₇C₂⁴	354^th central stem extension by C₂³ of C₂⁴	64		C2^3.637C2^4	128,1469
C₂⁴.₄₂₆C₂³	266^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.426C2^3	128,1470
C₂⁴.₄₂₇C₂³	267^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.427C2^3	128,1471
C₂³.₆₄₀C₂⁴	357^th central stem extension by C₂³ of C₂⁴	64		C2^3.640C2^4	128,1472
C₂³.₆₄₁C₂⁴	358^th central stem extension by C₂³ of C₂⁴	64		C2^3.641C2^4	128,1473
C₂⁴.₄₂₈C₂³	268^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.428C2^3	128,1474
C₂³.₆₄₃C₂⁴	360^th central stem extension by C₂³ of C₂⁴	64		C2^3.643C2^4	128,1475
C₂⁴.₄₃₀C₂³	270^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.430C2^3	128,1476
C₂³.₆₄₅C₂⁴	362^nd central stem extension by C₂³ of C₂⁴	64		C2^3.645C2^4	128,1477
C₂⁴.₄₃₂C₂³	272^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.432C2^3	128,1478
C₂³.₆₄₇C₂⁴	364^th central stem extension by C₂³ of C₂⁴	64		C2^3.647C2^4	128,1479
C₂⁴.₄₃₄C₂³	274^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.434C2^3	128,1480
C₂³.₆₄₉C₂⁴	366^th central stem extension by C₂³ of C₂⁴	64		C2^3.649C2^4	128,1481
C₂⁴.₄₃₅C₂³	275^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.435C2^3	128,1482
C₂³.₆₅₁C₂⁴	368^th central stem extension by C₂³ of C₂⁴	64		C2^3.651C2^4	128,1483
C₂³.₆₅₂C₂⁴	369^th central stem extension by C₂³ of C₂⁴	64		C2^3.652C2^4	128,1484
C₂⁴.₄₃₇C₂³	277^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.437C2^3	128,1485
C₂³.₆₅₄C₂⁴	371^st central stem extension by C₂³ of C₂⁴	64		C2^3.654C2^4	128,1486
C₂³.₆₅₆C₂⁴	373^rd central stem extension by C₂³ of C₂⁴	64		C2^3.656C2^4	128,1488
C₂⁴.₄₃₈C₂³	278^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.438C2^3	128,1489
C₂³.₆₅₉C₂⁴	376^th central stem extension by C₂³ of C₂⁴	64		C2^3.659C2^4	128,1491
C₂³.₆₆₀C₂⁴	377^th central stem extension by C₂³ of C₂⁴	64		C2^3.660C2^4	128,1492
C₂⁴.₄₄₀C₂³	280^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.440C2^3	128,1493
C₂³.₆₆₃C₂⁴	380^th central stem extension by C₂³ of C₂⁴	64		C2^3.663C2^4	128,1495
C₂³.₆₆₄C₂⁴	381^st central stem extension by C₂³ of C₂⁴	64		C2^3.664C2^4	128,1496
C₂⁴.₄₄₃C₂³	283^rd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.443C2^3	128,1497
C₂³.₆₆₈C₂⁴	385^th central stem extension by C₂³ of C₂⁴	64		C2^3.668C2^4	128,1500
C₂⁴.₄₄₅C₂³	285^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.445C2^3	128,1502
C₂³.₆₇₁C₂⁴	388^th central stem extension by C₂³ of C₂⁴	64		C2^3.671C2^4	128,1503
C₂³.₆₇₂C₂⁴	389^th central stem extension by C₂³ of C₂⁴	64		C2^3.672C2^4	128,1504
C₂³.₆₇₃C₂⁴	390^th central stem extension by C₂³ of C₂⁴	64		C2^3.673C2^4	128,1505
C₂³.₆₇₅C₂⁴	392^nd central stem extension by C₂³ of C₂⁴	64		C2^3.675C2^4	128,1507
C₂³.₆₇₇C₂⁴	394^th central stem extension by C₂³ of C₂⁴	64		C2^3.677C2^4	128,1509
C₂³.₆₇₈C₂⁴	395^th central stem extension by C₂³ of C₂⁴	64		C2^3.678C2^4	128,1510
C₂³.₆₇₉C₂⁴	396^th central stem extension by C₂³ of C₂⁴	64		C2^3.679C2^4	128,1511
C₂⁴.₄₄₈C₂³	288^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.448C2^3	128,1512
C₂³.₆₈₁C₂⁴	398^th central stem extension by C₂³ of C₂⁴	64		C2^3.681C2^4	128,1513
C₂³.₆₈₂C₂⁴	399^th central stem extension by C₂³ of C₂⁴	64		C2^3.682C2^4	128,1514
C₂³.₆₈₃C₂⁴	400^th central stem extension by C₂³ of C₂⁴	64		C2^3.683C2^4	128,1515
C₂⁴.₄₅₀C₂³	290^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.450C2^3	128,1516
C₂³.₆₈₅C₂⁴	402^nd central stem extension by C₂³ of C₂⁴	64		C2^3.685C2^4	128,1517
C₂³.₆₈₆C₂⁴	403^rd central stem extension by C₂³ of C₂⁴	64		C2^3.686C2^4	128,1518
C₂³.₆₈₇C₂⁴	404^th central stem extension by C₂³ of C₂⁴	64		C2^3.687C2^4	128,1519
C₂³.₆₈₈C₂⁴	405^th central stem extension by C₂³ of C₂⁴	64		C2^3.688C2^4	128,1520
C₂⁴.₄₅₄C₂³	294^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.454C2^3	128,1522
C₂³.₆₉₃C₂⁴	410^th central stem extension by C₂³ of C₂⁴	64		C2^3.693C2^4	128,1525
C₂³.₆₉₅C₂⁴	412^nd central stem extension by C₂³ of C₂⁴	64		C2^3.695C2^4	128,1527
C₂³.₆₉₆C₂⁴	413^rd central stem extension by C₂³ of C₂⁴	64		C2^3.696C2^4	128,1528
C₂³.₆₉₇C₂⁴	414^th central stem extension by C₂³ of C₂⁴	64		C2^3.697C2^4	128,1529
C₂³.₆₉₈C₂⁴	415^th central stem extension by C₂³ of C₂⁴	64		C2^3.698C2^4	128,1530
C₂³.₇₀₀C₂⁴	417^th central stem extension by C₂³ of C₂⁴	64		C2^3.700C2^4	128,1532
C₂³.₇₀₁C₂⁴	418^th central stem extension by C₂³ of C₂⁴	64		C2^3.701C2^4	128,1533
C₂³.₇₀₃C₂⁴	420^th central stem extension by C₂³ of C₂⁴	64		C2^3.703C2^4	128,1535
C₂⁴.₄₅₆C₂³	296^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.456C2^3	128,1536
C₂³.₇₀₇C₂⁴	424^th central stem extension by C₂³ of C₂⁴	64		C2^3.707C2^4	128,1539
C₂³.₇₀₈C₂⁴	425^th central stem extension by C₂³ of C₂⁴	64		C2^3.708C2^4	128,1540
C₂⁴.₄₅₉C₂³	299^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.459C2^3	128,1545
C₂³.₇₁₄C₂⁴	431^st central stem extension by C₂³ of C₂⁴	64		C2^3.714C2^4	128,1546
C₂³.₇₁₅C₂⁴	432^nd central stem extension by C₂³ of C₂⁴	64		C2^3.715C2^4	128,1547
C₂³.₇₁₆C₂⁴	433^rd central stem extension by C₂³ of C₂⁴	64		C2^3.716C2^4	128,1548
C₂⁴.₄₆₂C₂³	302^nd non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂=C₂²	64		C2^4.462C2^3	128,1549
C₄²⋊₃₃D₄	27^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:33D4	128,1550
C₄²⋊₃₄D₄	28^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:34D4	128,1551
C₄².₁₉₉D₄	181^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.199D4	128,1552
C₄².₂₀₀D₄	182^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.200D4	128,1553
C₄²⋊₃₅D₄	29^th semidirect product of C₄² and D₄ acting via D₄/C₂=C₂²	64		C4^2:35D4	128,1555
C₂³.₇₂₄C₂⁴	441^st central stem extension by C₂³ of C₂⁴	64		C2^3.724C2^4	128,1556
C₂³.₇₂₅C₂⁴	442^nd central stem extension by C₂³ of C₂⁴	64		C2^3.725C2^4	128,1557
C₂³.₇₂₆C₂⁴	443^rd central stem extension by C₂³ of C₂⁴	64		C2^3.726C2^4	128,1558
C₂³.₇₂₇C₂⁴	444^th central stem extension by C₂³ of C₂⁴	64		C2^3.727C2^4	128,1559
C₂³.₇₂₈C₂⁴	445^th central stem extension by C₂³ of C₂⁴	64		C2^3.728C2^4	128,1560
C₂³.₇₂₉C₂⁴	446^th central stem extension by C₂³ of C₂⁴	64		C2^3.729C2^4	128,1561
C₂³.₇₃₀C₂⁴	447^th central stem extension by C₂³ of C₂⁴	64		C2^3.730C2^4	128,1562
C₂³.₇₃₁C₂⁴	448^th central stem extension by C₂³ of C₂⁴	64		C2^3.731C2^4	128,1563
C₂³.₇₃₂C₂⁴	449^th central stem extension by C₂³ of C₂⁴	64		C2^3.732C2^4	128,1564
C₂³.₇₃₄C₂⁴	451^st central stem extension by C₂³ of C₂⁴	64		C2^3.734C2^4	128,1566
C₂³.₇₃₅C₂⁴	452^nd central stem extension by C₂³ of C₂⁴	64		C2^3.735C2^4	128,1567
C₂³.₇₃₆C₂⁴	453^rd central stem extension by C₂³ of C₂⁴	64		C2^3.736C2^4	128,1568
C₂³.₇₃₇C₂⁴	454^th central stem extension by C₂³ of C₂⁴	64		C2^3.737C2^4	128,1569
C₂³.₇₃₈C₂⁴	455^th central stem extension by C₂³ of C₂⁴	64		C2^3.738C2^4	128,1570
C₂³.₇₄₁C₂⁴	458^th central stem extension by C₂³ of C₂⁴	64		C2^3.741C2^4	128,1573
C₄²⋊₄₆D₄	5^th semidirect product of C₄² and D₄ acting via D₄/C₂²=C₂	64		C4^2:46D4	128,1582
C₄².₄₃₉D₄	72^nd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.439D4	128,1583
C₄²⋊₄₃D₄	2^nd semidirect product of C₄² and D₄ acting via D₄/C₂²=C₂	64		C4^2:43D4	128,1584
C₂³.₇₅₃C₂⁴	470^th central stem extension by C₂³ of C₂⁴	64		C2^3.753C2^4	128,1585
C₂⁴.₅₉₈C₂³	79^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.598C2^3	128,1586
C₂⁴.₅₉₉C₂³	80^th non-split extension by C₂⁴ of C₂³ acting via C₂³/C₂²=C₂	64		C2^4.599C2^3	128,1587
C₄²⋊₄₇D₄	6^th semidirect product of C₄² and D₄ acting via D₄/C₂²=C₂	64		C4^2:47D4	128,1588
C₄².₄₄₀D₄	73^rd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.440D4	128,1589
C₄³⋊₁₂C₂	12^nd semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:12C2	128,1590
C₄³⋊₁₃C₂	13^rd semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:13C2	128,1592
C₄³⋊₁₄C₂	14^th semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:14C2	128,1593
C₄³⋊₄C₂	4^th semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:4C2	128,1597
C₄³⋊₅C₂	5^th semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:5C2	128,1598
C₄³⋊₁₅C₂	15^th semidirect product of C₄³ and C₂ acting faithfully	64		C4^3:15C2	128,1599
C₂×C₄×M₄(2)	Direct product of C₂×C₄ and M₄(2)	64		C2xC4xM4(2)	128,1603
C₂×C₈○₂M₄(2)	Direct product of C₂ and C₈○₂M₄(2)	64		C2xC8o2M4(2)	128,1604
C₄×C₈○D₄	Direct product of C₄ and C₈○D₄	64		C4xC8oD4	128,1606
D₄.₅C₄²	2^nd non-split extension by D₄ of C₄² acting through Inn(D₄)	64		D4.5C4^2	128,1607
C₂²×C₂²⋊C₈	Direct product of C₂² and C₂²⋊C₈	64		C2^2xC2^2:C8	128,1608
C₂×(C₂²×C₈)⋊C₂	Direct product of C₂ and (C₂²×C₈)⋊C₂	64		C2x(C2^2xC8):C2	128,1610
C₂²×C₄.₁₀D₄	Direct product of C₂² and C₄.₁₀D₄	64		C2^2xC4.10D4	128,1618
C₂²×D₄⋊C₄	Direct product of C₂² and D₄⋊C₄	64		C2^2xD4:C4	128,1622
C₂×C₂³.₂₄D₄	Direct product of C₂ and C₂³.₂₄D₄	64		C2xC2^3.24D4	128,1624
C₂×C₂³.₃₈D₄	Direct product of C₂ and C₂³.₃₈D₄	64		C2xC2^3.38D4	128,1626
C₂×C₂³.₃₆D₄	Direct product of C₂ and C₂³.₃₆D₄	64		C2xC2^3.36D4	128,1627
2_-¹⁺⁴⋊₄C₄	3^rd semidirect product of 2_-¹⁺⁴ and C₄ acting via C₄/C₂=C₂	64		ES-(2,2):4C4	128,1630
C₂×C₄⋊M₄(2)	Direct product of C₂ and C₄⋊M₄(2)	64		C2xC4:M4(2)	128,1635
C₂×C₄².₆C₂²	Direct product of C₂ and C₄².₆C₂²	64		C2xC4^2.6C2^2	128,1636
C₄².₆₇₄C₂³	89^th non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.674C2^3	128,1638
C₂×C₂³.₂₅D₄	Direct product of C₂ and C₂³.₂₅D₄	64		C2xC2^3.25D4	128,1641
C₂×M₄(2)⋊C₄	Direct product of C₂ and M₄(2)⋊C₄	64		C2xM4(2):C4	128,1642
C₄○D₄.₇Q₈	5^th non-split extension by C₄○D₄ of Q₈ acting via Q₈/C₄=C₂	64		C4oD4.7Q8	128,1644
C₄○D₄.₈Q₈	6^th non-split extension by C₄○D₄ of Q₈ acting via Q₈/C₄=C₂	64		C4oD4.8Q8	128,1645
C₂²×C₈.C₄	Direct product of C₂² and C₈.C₄	64		C2^2xC8.C4	128,1646
C₂×C₄².₁₂C₄	Direct product of C₂ and C₄².₁₂C₄	64		C2xC4^2.12C4	128,1649
C₂×C₄².₆C₄	Direct product of C₂ and C₄².₆C₄	64		C2xC4^2.6C4	128,1650
C₂×C₄².₇C₂²	Direct product of C₂ and C₄².₇C₂²	64		C2xC4^2.7C2^2	128,1651
C₄².₂₆₀C₂³	121^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.260C2^3	128,1654
C₄².₂₆₁C₂³	122^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.261C2^3	128,1655
C₄².₆₇₈C₂³	93^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.678C2^3	128,1657
D₄×C₂×C₈	Direct product of C₂×C₈ and D₄	64		D4xC2xC8	128,1658
C₂×C₈⋊₉D₄	Direct product of C₂ and C₈⋊₉D₄	64		C2xC8:9D4	128,1659
C₂×C₈⋊₆D₄	Direct product of C₂ and C₈⋊₆D₄	64		C2xC8:6D4	128,1660
C₄².₆₈₁C₂³	96^th non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.681C2^3	128,1663
C₄².₂₆₆C₂³	127^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.266C2^3	128,1664
M₄(2)⋊₂₃D₄	2^nd semidirect product of M₄(2) and D₄ acting through Inn(M₄(2))	64		M4(2):23D4	128,1667
C₂×C₄×D₈	Direct product of C₂×C₄ and D₈	64		C2xC4xD8	128,1668
C₂×C₄×SD₁₆	Direct product of C₂×C₄ and SD₁₆	64		C2xC4xSD16	128,1669
C₄×C₄○D₈	Direct product of C₄ and C₄○D₈	64		C4xC4oD8	128,1671
C₂×SD₁₆⋊C₄	Direct product of C₂ and SD₁₆⋊C₄	64		C2xSD16:C4	128,1672
C₂×D₈⋊C₄	Direct product of C₂ and D₈⋊C₄	64		C2xD8:C4	128,1674
C₄².₃₈₃D₄	16^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.383D4	128,1675
C₄×C₈.C₂²	Direct product of C₄ and C₈.C₂²	64		C4xC8.C2^2	128,1677
C₄².₂₇₆C₂³	137^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.276C2^3	128,1679
C₄².₂₇₉C₂³	140^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.279C2^3	128,1682
C₄².₂₈₀C₂³	141^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.280C2^3	128,1683
C₄².₂₈₁C₂³	142^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.281C2^3	128,1684
C₄².₂₈₆C₂³	147^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.286C2^3	128,1692
C₄².₂₈₇C₂³	148^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.287C2^3	128,1693
M₄(2)⋊₉Q₈	The semidirect product of M₄(2) and Q₈ acting through Inn(M₄(2))	64		M4(2):9Q8	128,1694
Q₈×M₄(2)	Direct product of Q₈ and M₄(2)	64		Q8xM4(2)	128,1695
C₈×C₄○D₄	Direct product of C₈ and C₄○D₄	64		C8xC4oD4	128,1696
C₄².₂₉₀C₂³	151^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.290C2^3	128,1697
C₄².₂₉₁C₂³	152^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.291C2^3	128,1698
C₄².₂₉₂C₂³	153^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.292C2^3	128,1699
C₄².₂₉₃C₂³	154^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.293C2^3	128,1700
C₄².₂₉₄C₂³	155^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.294C2^3	128,1701
D₄⋊₆M₄(2)	1^st semidirect product of D₄ and M₄(2) acting through Inn(D₄)	64		D4:6M4(2)	128,1702
Q₈⋊₆M₄(2)	1^st semidirect product of Q₈ and M₄(2) acting through Inn(Q₈)	64		Q8:6M4(2)	128,1703
C₄².₆₉₄C₂³	109^th non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.694C2^3	128,1711
C₄².₃₀₀C₂³	161^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.300C2^3	128,1712
C₄².₃₀₁C₂³	162^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.301C2^3	128,1713
C₄².₆₉₅C₂³	110^th non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.695C2^3	128,1714
C₄².₃₀₂C₂³	163^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.302C2^3	128,1715
Q₈.₄M₄(2)	The non-split extension by Q₈ of M₄(2) acting through Inn(Q₈)	64		Q8.4M4(2)	128,1716
C₄².₆₉₆C₂³	111^st non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.696C2^3	128,1717
C₄².₃₀₄C₂³	165^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.304C2^3	128,1718
C₄².₃₀₅C₂³	166^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.305C2^3	128,1719
C₄².₆₉₇C₂³	112^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.697C2^3	128,1720
C₄².₆₉₈C₂³	113^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂²=C₂	64		C4^2.698C2^3	128,1721
D₄⋊₈M₄(2)	3^rd semidirect product of D₄ and M₄(2) acting through Inn(D₄)	64		D4:8M4(2)	128,1722
Q₈⋊₇M₄(2)	2^nd semidirect product of Q₈ and M₄(2) acting through Inn(Q₈)	64		Q8:7M4(2)	128,1723
C₄².₃₀₇C₂³	168^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.307C2^3	128,1724
C₄².₃₀₈C₂³	169^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.308C2^3	128,1725
C₄².₃₀₉C₂³	170^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.309C2^3	128,1726
C₄².₃₁₀C₂³	171^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.310C2^3	128,1727
C₂×Q₈⋊D₄	Direct product of C₂ and Q₈⋊D₄	64		C2xQ8:D4	128,1730
C₂×C₂²⋊Q₁₆	Direct product of C₂ and C₂²⋊Q₁₆	64		C2xC2^2:Q16	128,1731
C₂×D₄⋊D₄	Direct product of C₂ and D₄⋊D₄	64		C2xD4:D4	128,1732
C₂×D₄.₇D₄	Direct product of C₂ and D₄.₇D₄	64		C2xD4.7D4	128,1733
Q₈.(C₂×D₄)	10^th non-split extension by Q₈ of C₂×D₄ acting via C₂×D₄/C₂³=C₂	64		Q8.(C2xD4)	128,1743
(C₂×Q₈)⋊₁₇D₄	13^rd semidirect product of C₂×Q₈ and D₄ acting via D₄/C₂=C₂²	64		(C2xQ8):17D4	128,1745
C₂×C₄⋊D₈	Direct product of C₂ and C₄⋊D₈	64		C2xC4:D8	128,1761
C₂×D₄.D₄	Direct product of C₂ and D₄.D₄	64		C2xD4.D4	128,1762
C₂×D₄.₂D₄	Direct product of C₂ and D₄.₂D₄	64		C2xD4.2D4	128,1763
C₂×C₄⋊SD₁₆	Direct product of C₂ and C₄⋊SD₁₆	64		C2xC4:SD16	128,1764
C₂×Q₈.D₄	Direct product of C₂ and Q₈.D₄	64		C2xQ8.D4	128,1766
C₄².₄₄₃D₄	76^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.443D4	128,1767
C₄².₂₁₂D₄	194^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.212D4	128,1769
C₄².₄₄₅D₄	78^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.445D4	128,1771
C₄².₁₇C₂³	17^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.17C2^3	128,1776
C₄².₁₉C₂³	19^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.19C2^3	128,1778
C₂×C₈⋊₈D₄	Direct product of C₂ and C₈⋊₈D₄	64		C2xC8:8D4	128,1779
C₂×C₈⋊₇D₄	Direct product of C₂ and C₈⋊₇D₄	64		C2xC8:7D4	128,1780
C₂×C₈.₁₈D₄	Direct product of C₂ and C₈.₁₈D₄	64		C2xC8.18D4	128,1781
C₂×C₈⋊D₄	Direct product of C₂ and C₈⋊D₄	64		C2xC8:D4	128,1783
C₂×C₈⋊₂D₄	Direct product of C₂ and C₈⋊₂D₄	64		C2xC8:2D4	128,1784
C₂×C₈.D₄	Direct product of C₂ and C₈.D₄	64		C2xC8.D4	128,1785
C₈.D₄⋊C₂	3^rd semidirect product of C₈.D₄ and C₂ acting faithfully	64		C8.D4:C2	128,1791
(C₂×C₈)⋊₁₃D₄	9^th semidirect product of C₂×C₈ and D₄ acting via D₄/C₂=C₂²	64		(C2xC8):13D4	128,1792
(C₂×C₈)⋊₁₄D₄	10^th semidirect product of C₂×C₈ and D₄ acting via D₄/C₂=C₂²	64		(C2xC8):14D4	128,1793
M₄(2)⋊₁₇D₄	4^th semidirect product of M₄(2) and D₄ acting via D₄/C₂²=C₂	64		M4(2):17D4	128,1795
C₂×D₄.₅D₄	Direct product of C₂ and D₄.₅D₄	64		C2xD4.5D4	128,1798
C₂×D₄⋊Q₈	Direct product of C₂ and D₄⋊Q₈	64		C2xD4:Q8	128,1802
C₂×D₄⋊₂Q₈	Direct product of C₂ and D₄⋊₂Q₈	64		C2xD4:2Q8	128,1803
C₂×D₄.Q₈	Direct product of C₂ and D₄.Q₈	64		C2xD4.Q8	128,1804
C₄².₄₄₇D₄	80^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.447D4	128,1808
C₄².₂₂₀D₄	202^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.220D4	128,1810
C₄².₄₄₈D₄	81^st non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.448D4	128,1811
C₄².₄₄₉D₄	82^nd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.449D4	128,1812
C₄².₂₁C₂³	21^st non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.21C2^3	128,1814
C₄².₂₂C₂³	22^nd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.22C2^3	128,1815
C₄².₂₃C₂³	23^rd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.23C2^3	128,1816
C₂×C₂².D₈	Direct product of C₂ and C₂².D₈	64		C2xC2^2.D8	128,1817
C₂×C₂³.₄₇D₄	Direct product of C₂ and C₂³.₄₇D₄	64		C2xC2^3.47D4	128,1818
C₂×C₂³.₁₉D₄	Direct product of C₂ and C₂³.₁₉D₄	64		C2xC2^3.19D4	128,1819
C₂×C₂³.₂₀D₄	Direct product of C₂ and C₂³.₂₀D₄	64		C2xC2^3.20D4	128,1820
C₂×C₂³.₄₆D₄	Direct product of C₂ and C₂³.₄₆D₄	64		C2xC2^3.46D4	128,1821
C₂×C₂³.₄₈D₄	Direct product of C₂ and C₂³.₄₈D₄	64		C2xC2^3.48D4	128,1822
(C₂×D₄).₃₀₂D₄	55^th non-split extension by C₂×D₄ of D₄ acting via D₄/C₂²=C₂	64		(C2xD4).302D4	128,1829
(C₂×D₄).₃₀₃D₄	56^th non-split extension by C₂×D₄ of D₄ acting via D₄/C₂²=C₂	64		(C2xD4).303D4	128,1830
(C₂×D₄).₃₀₄D₄	57^th non-split extension by C₂×D₄ of D₄ acting via D₄/C₂²=C₂	64		(C2xD4).304D4	128,1831
C₄².₃₈₄D₄	17^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.384D4	128,1834
C₄².₂₂₃D₄	205^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.223D4	128,1835
C₄².₂₂₄D₄	206^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.224D4	128,1836
C₄².₄₅₀D₄	83^rd non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.450D4	128,1838
C₄².₄₅₁D₄	84^th non-split extension by C₄² of D₄ acting via D₄/C₂²=C₂	64		C4^2.451D4	128,1839
C₄².₂₂₆D₄	208^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.226D4	128,1840
C₄².₂₂₉D₄	211^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.229D4	128,1843
C₄².₂₃₀D₄	212^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.230D4	128,1844
C₄².₂₃₁D₄	213^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.231D4	128,1845
C₄².₂₃₃D₄	215^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.233D4	128,1847
C₄².₂₃₄D₄	216^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.234D4	128,1848
C₄².₂₃₅D₄	217^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.235D4	128,1849
C₄².₃₅₃C₂³	214^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.353C2^3	128,1851
C₄².₃₅₄C₂³	215^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.354C2^3	128,1852
C₄².₃₅₅C₂³	216^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.355C2^3	128,1853
C₄².₃₅₈C₂³	219^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.358C2^3	128,1856
C₄².₃₅₉C₂³	220^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.359C2^3	128,1857
C₄².₃₆₀C₂³	221^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.360C2^3	128,1858
C₄².₃₆₁C₂³	222^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.361C2^3	128,1859
C₂×C₄.₄D₈	Direct product of C₂ and C₄.₄D₈	64		C2xC4.4D8	128,1860
C₂×C₄².₇₈C₂²	Direct product of C₂ and C₄².₇₈C₂²	64		C2xC4^2.78C2^2	128,1862
C₄².₃₅₅D₄	51^st non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.355D4	128,1863
C₂×C₄².₂₈C₂²	Direct product of C₂ and C₄².₂₈C₂²	64		C2xC4^2.28C2^2	128,1864
C₂×C₄².₂₉C₂²	Direct product of C₂ and C₄².₂₉C₂²	64		C2xC4^2.29C2^2	128,1865
C₄².₂₃₉D₄	221^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.239D4	128,1867
C₄².₃₆₇C₂³	228^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.367C2^3	128,1869
C₄².₂₄₁D₄	223^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.241D4	128,1871
C₄².₂₄₃D₄	225^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.243D4	128,1873
C₄².₂₄₄D₄	226^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.244D4	128,1874
C₂×C₈⋊₅D₄	Direct product of C₂ and C₈⋊₅D₄	64		C2xC8:5D4	128,1875
C₂×C₈⋊₄D₄	Direct product of C₂ and C₈⋊₄D₄	64		C2xC8:4D4	128,1876
C₂×C₈.₁₂D₄	Direct product of C₂ and C₈.₁₂D₄	64		C2xC8.12D4	128,1878
C₄².₃₆₀D₄	56^th non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.360D4	128,1879
C₂×C₈⋊₃D₄	Direct product of C₂ and C₈⋊₃D₄	64		C2xC8:3D4	128,1880
C₂×C₈.₂D₄	Direct product of C₂ and C₈.₂D₄	64		C2xC8.2D4	128,1881
C₄².₂₄₇D₄	229^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.247D4	128,1882
M₄(2)⋊₈D₄	2^nd semidirect product of M₄(2) and D₄ acting via D₄/C₄=C₂	64		M4(2):8D4	128,1884
M₄(2).₂₀D₄	1^st non-split extension by M₄(2) of D₄ acting via D₄/C₄=C₂	64		M4(2).20D4	128,1888
C₄².₃₆₄D₄	60^th non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.364D4	128,1892
C₄².₂₅₂D₄	234^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.252D4	128,1894
M₄(2)⋊₃Q₈	1^st semidirect product of M₄(2) and Q₈ acting via Q₈/C₄=C₂	64		M4(2):3Q8	128,1895
M₄(2)⋊₄Q₈	2^nd semidirect product of M₄(2) and Q₈ acting via Q₈/C₄=C₂	64		M4(2):4Q8	128,1896
M₄(2)⋊₅Q₈	3^rd semidirect product of M₄(2) and Q₈ acting via Q₈/C₄=C₂	64		M4(2):5Q8	128,1897
M₄(2)⋊₆Q₈	4^th semidirect product of M₄(2) and Q₈ acting via Q₈/C₄=C₂	64		M4(2):6Q8	128,1898
C₄².₃₆₅D₄	61^st non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.365D4	128,1899
C₄².₃₀₈D₄	4^th non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.308D4	128,1900
C₄².₃₆₆D₄	62^nd non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.366D4	128,1901
C₄².₃₆₇D₄	63^rd non-split extension by C₄² of D₄ acting via D₄/C₄=C₂	64		C4^2.367D4	128,1902
C₄².₂₅₅D₄	237^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.255D4	128,1903
C₄².₂₅₆D₄	238^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.256D4	128,1904
C₄².₃₈₅C₂³	246^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.385C2^3	128,1905
C₄².₃₈₆C₂³	247^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.386C2^3	128,1906
C₄².₃₈₇C₂³	248^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.387C2^3	128,1907
C₄².₃₈₈C₂³	249^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.388C2^3	128,1908
C₄².₃₈₉C₂³	250^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.389C2^3	128,1909
C₄².₃₉₀C₂³	251^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.390C2^3	128,1910
C₄².₃₉₁C₂³	252^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.391C2^3	128,1911
C₄².₂₅₇D₄	239^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.257D4	128,1912
C₄².₂₅₈D₄	240^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.258D4	128,1913
C₄².₂₅₉D₄	241^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.259D4	128,1914
C₄².₂₆₀D₄	242^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.260D4	128,1915
C₄².₂₆₁D₄	243^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.261D4	128,1916
C₄².₂₆₂D₄	244^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.262D4	128,1917
C₄.₁₆2₊¹⁺⁴	16^th non-split extension by C₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	64		C4.16ES+(2,2)	128,1933
C₄.₁₇2₊¹⁺⁴	17^th non-split extension by C₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	64		C4.17ES+(2,2)	128,1934
C₄.₁₈2₊¹⁺⁴	18^th non-split extension by C₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	64		C4.18ES+(2,2)	128,1935
C₄.₁₉2₊¹⁺⁴	19^th non-split extension by C₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	64		C4.19ES+(2,2)	128,1936
C₄².₂₆₄D₄	246^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.264D4	128,1938
C₄².₂₆₅D₄	247^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.265D4	128,1939
C₄².₂₆₇D₄	249^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.267D4	128,1941
C₄².₂₆₈D₄	250^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.268D4	128,1942
C₄².₂₇₀D₄	252^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.270D4	128,1944
C₄².₂₇₂D₄	254^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.272D4	128,1946
C₄².₂₇₄D₄	256^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.274D4	128,1948
C₄².₂₇₆D₄	258^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.276D4	128,1950
C₄².₂₇₇D₄	259^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.277D4	128,1951
C₄².₄₀₇C₂³	268^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.407C2^3	128,1953
C₄².₄₀₉C₂³	270^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.409C2^3	128,1955
C₄².₄₁₁C₂³	272^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.411C2^3	128,1957
C₄².₂₇₈D₄	260^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.278D4	128,1958
C₄².₂₇₉D₄	261^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.279D4	128,1959
C₄².₂₈₀D₄	262^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.280D4	128,1960
C₄².₂₈₁D₄	263^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.281D4	128,1961
C₄².₂₈₂D₄	264^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.282D4	128,1962
C₄².₂₈₃D₄	265^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.283D4	128,1963
C₄².₂₈₄D₄	266^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.284D4	128,1964
C₄².₂₈₅D₄	267^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.285D4	128,1965
C₄².₂₈₆D₄	268^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.286D4	128,1966
C₄².₂₈₇D₄	269^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.287D4	128,1967
C₄².₂₈₈D₄	270^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.288D4	128,1968
C₄².₂₈₉D₄	271^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.289D4	128,1969
C₄².₂₉₀D₄	272^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.290D4	128,1970
C₄².₂₉₁D₄	273^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.291D4	128,1971
C₄².₂₉₂D₄	274^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.292D4	128,1972
C₄².₄₂₃C₂³	284^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.423C2^3	128,1973
C₄².₄₂₄C₂³	285^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.424C2^3	128,1974
C₄².₄₂₅C₂³	286^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.425C2^3	128,1975
C₄².₄₂₆C₂³	287^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.426C2^3	128,1976
C₄².₂₉₃D₄	275^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.293D4	128,1977
C₄².₂₉₄D₄	276^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.294D4	128,1978
C₄².₂₉₅D₄	277^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.295D4	128,1979
C₄².₂₉₆D₄	278^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.296D4	128,1980
C₄².₂₉₇D₄	279^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.297D4	128,1981
C₄².₂₉₈D₄	280^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.298D4	128,1982
C₄².₂₉₉D₄	281^st non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.299D4	128,1983
C₄².₃₀₀D₄	282^nd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.300D4	128,1984
C₄².₃₀₁D₄	283^rd non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.301D4	128,1985
C₄².₃₀₂D₄	284^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.302D4	128,1986
C₄².₃₀₃D₄	285^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.303D4	128,1987
C₄².₃₀₄D₄	286^th non-split extension by C₄² of D₄ acting via D₄/C₂=C₂²	64		C4^2.304D4	128,1988
C₄.2_-¹⁺⁴	13^rd non-split extension by C₄ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	64		C4.ES-(2,2)	128,1989
C₄².₂₅C₂³	25^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.25C2^3	128,1990
C₄².₂₆C₂³	26^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.26C2^3	128,1991
C₄².₂₇C₂³	27^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.27C2^3	128,1992
C₄².₂₈C₂³	28^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.28C2^3	128,1993
C₄².₂₉C₂³	29^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.29C2^3	128,1994
C₄².₃₀C₂³	30^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.30C2^3	128,1995
SD₁₆⋊₈D₄	4^th semidirect product of SD₁₆ and D₄ acting via D₄/C₂²=C₂	64		SD16:8D4	128,2001
Q₁₆⋊₉D₄	3^rd semidirect product of Q₁₆ and D₄ acting via D₄/C₂²=C₂	64		Q16:9D4	128,2002
Q₁₆⋊₁₀D₄	4^th semidirect product of Q₁₆ and D₄ acting via D₄/C₂²=C₂	64		Q16:10D4	128,2003
SD₁₆⋊₃D₄	3^rd semidirect product of SD₁₆ and D₄ acting via D₄/C₄=C₂	64		SD16:3D4	128,2008
Q₁₆⋊₄D₄	3^rd semidirect product of Q₁₆ and D₄ acting via D₄/C₄=C₂	64		Q16:4D4	128,2009
Q₁₆⋊₅D₄	4^th semidirect product of Q₁₆ and D₄ acting via D₄/C₄=C₂	64		Q16:5D4	128,2010
D₈⋊₁₃D₄	2^nd semidirect product of D₈ and D₄ acting through Inn(D₈)	64		D8:13D4	128,2015
SD₁₆⋊₁₁D₄	2^nd semidirect product of SD₁₆ and D₄ acting through Inn(SD₁₆)	64		SD16:11D4	128,2016
Q₁₆⋊₁₂D₄	1^st semidirect product of Q₁₆ and D₄ acting through Inn(Q₁₆)	64		Q16:12D4	128,2017
D₄×Q₁₆	Direct product of D₄ and Q₁₆	64		D4xQ16	128,2018
Q₁₆⋊₁₃D₄	2^nd semidirect product of Q₁₆ and D₄ acting through Inn(Q₁₆)	64		Q16:13D4	128,2019
D₄⋊₈SD₁₆	2^nd semidirect product of D₄ and SD₁₆ acting through Inn(D₄)	64		D4:8SD16	128,2030
D₄⋊₅Q₁₆	1^st semidirect product of D₄ and Q₁₆ acting through Inn(D₄)	64		D4:5Q16	128,2031
C₄².₄₆₅C₂³	326^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.465C2^3	128,2032
C₄².₄₆₆C₂³	327^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.466C2^3	128,2033
C₄².₄₆₇C₂³	328^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.467C2^3	128,2034
C₄².₄₆₈C₂³	329^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.468C2^3	128,2035
C₄².₄₆₉C₂³	330^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.469C2^3	128,2036
C₄².₄₇₀C₂³	331^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.470C2^3	128,2037
C₄².₄₂C₂³	42^nd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.42C2^3	128,2039
C₄².₄₃C₂³	43^rd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.43C2^3	128,2040
C₄².₄₄C₂³	44^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.44C2^3	128,2041
C₄².₄₇C₂³	47^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.47C2^3	128,2044
C₄².₄₈C₂³	48^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.48C2^3	128,2045
C₄².₅₀C₂³	50^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.50C2^3	128,2047
C₄².₅₁C₂³	51^st non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.51C2^3	128,2048
C₄².₅₂C₂³	52^nd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.52C2^3	128,2049
C₄².₅₅C₂³	55^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.55C2^3	128,2052
C₄².₅₆C₂³	56^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.56C2^3	128,2053
C₄².₄₇₅C₂³	336^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.475C2^3	128,2058
C₄².₄₇₆C₂³	337^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.476C2^3	128,2059
C₄².₄₇₇C₂³	338^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.477C2^3	128,2060
C₄².₄₇₈C₂³	339^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.478C2^3	128,2061
C₄².₄₇₉C₂³	340^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.479C2^3	128,2062
C₄².₄₈₀C₂³	341^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.480C2^3	128,2063
C₄².₄₈₁C₂³	342^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.481C2^3	128,2064
C₄².₄₈₂C₂³	343^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.482C2^3	128,2065
D₄⋊₅D₈	2^nd semidirect product of D₄ and D₈ acting through Inn(D₄)	64		D4:5D8	128,2066
D₄⋊₉SD₁₆	3^rd semidirect product of D₄ and SD₁₆ acting through Inn(D₄)	64		D4:9SD16	128,2067
C₄².₄₈₅C₂³	346^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.485C2^3	128,2068
C₄².₄₈₆C₂³	347^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.486C2^3	128,2069
D₄⋊₆Q₁₆	2^nd semidirect product of D₄ and Q₁₆ acting through Inn(D₄)	64		D4:6Q16	128,2070
C₄².₄₈₈C₂³	349^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.488C2^3	128,2071
C₄².₄₈₉C₂³	350^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.489C2^3	128,2072
C₄².₄₉₀C₂³	351^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.490C2^3	128,2073
C₄².₄₉₁C₂³	352^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.491C2^3	128,2074
C₄².₅₇C₂³	57^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.57C2^3	128,2075
C₄².₅₈C₂³	58^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.58C2^3	128,2076
C₄².₅₉C₂³	59^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.59C2^3	128,2077
C₄².₆₀C₂³	60^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.60C2^3	128,2078
C₄².₆₁C₂³	61^st non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.61C2^3	128,2079
C₄².₆₂C₂³	62^nd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.62C2^3	128,2080
C₄².₆₃C₂³	63^rd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.63C2^3	128,2081
C₄².₆₄C₂³	64^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.64C2^3	128,2082
C₄².₄₉₂C₂³	353^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.492C2^3	128,2083
C₄².₄₉₃C₂³	354^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.493C2^3	128,2084
C₄².₄₉₄C₂³	355^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.494C2^3	128,2085
C₄².₄₉₅C₂³	356^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.495C2^3	128,2086
C₄².₄₉₆C₂³	357^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.496C2^3	128,2087
C₄².₄₉₇C₂³	358^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.497C2^3	128,2088
C₄².₄₉₈C₂³	359^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.498C2^3	128,2089
Q₈⋊₄D₈	1^st semidirect product of Q₈ and D₈ acting through Inn(Q₈)	64		Q8:4D8	128,2090
Q₈⋊₇SD₁₆	1^st semidirect product of Q₈ and SD₁₆ acting through Inn(Q₈)	64		Q8:7SD16	128,2091
C₄².₅₀₁C₂³	362^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.501C2^3	128,2092
C₄².₅₀₂C₂³	363^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.502C2^3	128,2093
Q₈⋊₈SD₁₆	2^nd semidirect product of Q₈ and SD₁₆ acting through Inn(Q₈)	64		Q8:8SD16	128,2094
C₄².₅₀₅C₂³	366^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.505C2^3	128,2096
C₄².₅₀₆C₂³	367^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.506C2^3	128,2097
C₄².₅₀₇C₂³	368^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.507C2^3	128,2098
C₄².₅₀₈C₂³	369^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.508C2^3	128,2099
C₄².₅₀₉C₂³	370^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.509C2^3	128,2100
C₄².₅₁₀C₂³	371^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.510C2^3	128,2101
C₄².₅₁₁C₂³	372^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.511C2^3	128,2102
C₄².₅₁₂C₂³	373^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.512C2^3	128,2103
C₄².₅₁₃C₂³	374^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.513C2^3	128,2104
C₄².₅₁₄C₂³	375^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.514C2^3	128,2105
C₄².₅₁₆C₂³	377^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.516C2^3	128,2107
C₄².₅₁₇C₂³	378^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.517C2^3	128,2108
C₄².₅₁₈C₂³	379^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.518C2^3	128,2109
Q₈×D₈	Direct product of Q₈ and D₈	64		Q8xD8	128,2110
Q₈×SD₁₆	Direct product of Q₈ and SD₁₆	64		Q8xSD16	128,2111
D₈⋊₆Q₈	The semidirect product of D₈ and Q₈ acting through Inn(D₈)	64		D8:6Q8	128,2112
SD₁₆⋊₄Q₈	The semidirect product of SD₁₆ and Q₈ acting through Inn(SD₁₆)	64		SD16:4Q8	128,2113
D₈⋊₄Q₈	4^th semidirect product of D₈ and Q₈ acting via Q₈/C₄=C₂	64		D8:4Q8	128,2116
SD₁₆⋊Q₈	1^st semidirect product of SD₁₆ and Q₈ acting via Q₈/C₄=C₂	64		SD16:Q8	128,2117
SD₁₆⋊₂Q₈	2^nd semidirect product of SD₁₆ and Q₈ acting via Q₈/C₄=C₂	64		SD16:2Q8	128,2118
SD₁₆⋊₃Q₈	3^rd semidirect product of SD₁₆ and Q₈ acting via Q₈/C₄=C₂	64		SD16:3Q8	128,2120
D₈⋊₅Q₈	5^th semidirect product of D₈ and Q₈ acting via Q₈/C₄=C₂	64		D8:5Q8	128,2121
Q₈⋊₅D₈	2^nd semidirect product of Q₈ and D₈ acting through Inn(Q₈)	64		Q8:5D8	128,2123
Q₈⋊₉SD₁₆	3^rd semidirect product of Q₈ and SD₁₆ acting through Inn(Q₈)	64		Q8:9SD16	128,2124
C₄².₅₂₇C₂³	388^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.527C2^3	128,2125
C₄².₅₂₈C₂³	389^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.528C2^3	128,2126
C₄².₅₃₀C₂³	391^st non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.530C2^3	128,2128
C₄².₇₂C₂³	72^nd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.72C2^3	128,2129
C₄².₇₃C₂³	73^rd non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.73C2^3	128,2130
C₄².₇₄C₂³	74^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.74C2^3	128,2131
C₄².₇₅C₂³	75^th non-split extension by C₄² of C₂³ acting faithfully	64		C4^2.75C2^3	128,2132
C₄².₅₃₁C₂³	392^nd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.531C2^3	128,2133
C₄².₅₃₂C₂³	393^rd non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.532C2^3	128,2134
C₄².₅₃₃C₂³	394^th non-split extension by C₄² of C₂³ acting via C₂³/C₂=C₂²	64		C4^2.533C2^3	128,2135
C₂²×M₅(2)	Direct product of C₂² and M₅(2)	64		C2^2xM5(2)	128,2137
C₂×D₄○C₁₆	Direct product of C₂ and D₄○C₁₆	64		C2xD4oC16	128,2138
C₂²×D₁₆	Direct product of C₂² and D₁₆	64		C2^2xD16	128,2140
C₂²×SD₃₂	Direct product of C₂² and SD₃₂	64		C2^2xSD32	128,2141
C₂×C₄○D₁₆	Direct product of C₂ and C₄○D₁₆	64		C2xC4oD16	128,2143
C₂×Q₃₂⋊C₂	Direct product of C₂ and Q₃₂⋊C₂	64		C2xQ32:C2	128,2145
Q₈○D₁₆	Central product of Q₈ and D₁₆	64	4-	Q8oD16	128,2149
C₂³×C₂²⋊C₄	Direct product of C₂³ and C₂²⋊C₄	64		C2^3xC2^2:C4	128,2151
C₂²×C₄²⋊C₂	Direct product of C₂² and C₄²⋊C₂	64		C2^2xC4^2:C2	128,2153
D₄×C₂²×C₄	Direct product of C₂²×C₄ and D₄	64		D4xC2^2xC4	128,2154
C₂×C₄×C₄○D₄	Direct product of C₂×C₄ and C₄○D₄	64		C2xC4xC4oD4	128,2156
C₂×C₂³.₃₂C₂³	Direct product of C₂ and C₂³.₃₂C₂³	64		C2xC2^3.32C2^3	128,2158
C₂×C₂³.₃₃C₂³	Direct product of C₂ and C₂³.₃₃C₂³	64		C2xC2^3.33C2^3	128,2159
C₄×2_-¹⁺⁴	Direct product of C₄ and 2_-¹⁺⁴	64		C4xES-(2,2)	128,2162
C₂²×C₄⋊D₄	Direct product of C₂² and C₄⋊D₄	64		C2^2xC4:D4	128,2164
C₂²×C₂²⋊Q₈	Direct product of C₂² and C₂²⋊Q₈	64		C2^2xC2^2:Q8	128,2165
C₂²×C₂².D₄	Direct product of C₂² and C₂².D₄	64		C2^2xC2^2.D4	128,2166
C₂²×C₄.₄D₄	Direct product of C₂² and C₄.₄D₄	64		C2^2xC4.4D4	128,2168
C₂²×C₄²⋊₂C₂	Direct product of C₂² and C₄²⋊₂C₂	64		C2^2xC4^2:2C2	128,2170
C₂×C₂³.₃₆C₂³	Direct product of C₂ and C₂³.₃₆C₂³	64		C2xC2^3.36C2^3	128,2171
C₂²×C₄⋊₁D₄	Direct product of C₂² and C₄⋊₁D₄	64		C2^2xC4:1D4	128,2172
C₂×C₂².₂₆C₂⁴	Direct product of C₂ and C₂².₂₆C₂⁴	64		C2xC2^2.26C2^4	128,2174
C₂×C₂³.₃₇C₂³	Direct product of C₂ and C₂³.₃₇C₂³	64		C2xC2^3.37C2^3	128,2175
C₂×C₂³.₃₈C₂³	Direct product of C₂ and C₂³.₃₈C₂³	64		C2xC2^3.38C2^3	128,2179
C₂×C₂².₃₁C₂⁴	Direct product of C₂ and C₂².₃₁C₂⁴	64		C2xC2^2.31C2^4	128,2180
C₂×C₂².₃₃C₂⁴	Direct product of C₂ and C₂².₃₃C₂⁴	64		C2xC2^2.33C2^4	128,2183
C₂×C₂².₃₄C₂⁴	Direct product of C₂ and C₂².₃₄C₂⁴	64		C2xC2^2.34C2^4	128,2184
C₂×C₂².₃₅C₂⁴	Direct product of C₂ and C₂².₃₅C₂⁴	64		C2xC2^2.35C2^4	128,2185
C₂×C₂².₃₆C₂⁴	Direct product of C₂ and C₂².₃₆C₂⁴	64		C2xC2^2.36C2^4	128,2186
C₂×C₂³.₄₁C₂³	Direct product of C₂ and C₂³.₄₁C₂³	64		C2xC2^3.41C2^3	128,2189
C₂².₅₀C₂⁵	31^st central stem extension by C₂² of C₂⁵	64		C2^2.50C2^5	128,2193
C₂×D₄⋊₆D₄	Direct product of C₂ and D₄⋊₆D₄	64		C2xD4:6D4	128,2196
C₂×Q₈⋊₅D₄	Direct product of C₂ and Q₈⋊₅D₄	64		C2xQ8:5D4	128,2197
C₂×D₄×Q₈	Direct product of C₂, D₄ and Q₈	64		C2xD4xQ8	128,2198
C₂×Q₈⋊₆D₄	Direct product of C₂ and Q₈⋊₆D₄	64		C2xQ8:6D4	128,2199
C₂×C₂².₄₆C₂⁴	Direct product of C₂ and C₂².₄₆C₂⁴	64		C2xC2^2.46C2^4	128,2202
C₂×C₂².₄₇C₂⁴	Direct product of C₂ and C₂².₄₇C₂⁴	64		C2xC2^2.47C2^4	128,2203
C₂×D₄⋊₃Q₈	Direct product of C₂ and D₄⋊₃Q₈	64		C2xD4:3Q8	128,2204
C₂×C₂².₄₉C₂⁴	Direct product of C₂ and C₂².₄₉C₂⁴	64		C2xC2^2.49C2^4	128,2205
C₂×C₂².₅₀C₂⁴	Direct product of C₂ and C₂².₅₀C₂⁴	64		C2xC2^2.50C2^4	128,2206
Q₈×C₄○D₄	Direct product of Q₈ and C₄○D₄	64		Q8xC4oD4	128,2210
C₂×C₂².₅₃C₂⁴	Direct product of C₂ and C₂².₅₃C₂⁴	64		C2xC2^2.53C2^4	128,2211
C₂².₆₉C₂⁵	50^th central stem extension by C₂² of C₂⁵	64		C2^2.69C2^5	128,2212
C₂².₇₁C₂⁵	52^nd central stem extension by C₂² of C₂⁵	64		C2^2.71C2^5	128,2214
C₂².₇₂C₂⁵	53^rd central stem extension by C₂² of C₂⁵	64		C2^2.72C2^5	128,2215
C₄⋊2_-¹⁺⁴	The semidirect product of C₄ and 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	64		C4:ES-(2,2)	128,2229
C₂².₈₈C₂⁵	69^th central stem extension by C₂² of C₂⁵	64		C2^2.88C2^5	128,2231
C₂².₉₁C₂⁵	72^nd central stem extension by C₂² of C₂⁵	64		C2^2.91C2^5	128,2234
C₂².₉₂C₂⁵	73^rd central stem extension by C₂² of C₂⁵	64		C2^2.92C2^5	128,2235
C₂².₉₃C₂⁵	74^th central stem extension by C₂² of C₂⁵	64		C2^2.93C2^5	128,2236
C₂².₉₆C₂⁵	77^th central stem extension by C₂² of C₂⁵	64		C2^2.96C2^5	128,2239
C₂².₉₈C₂⁵	79^th central stem extension by C₂² of C₂⁵	64		C2^2.98C2^5	128,2241
C₂².₁₀₀C₂⁵	81^st central stem extension by C₂² of C₂⁵	64		C2^2.100C2^5	128,2243
C₂².₁₀₁C₂⁵	82^nd central stem extension by C₂² of C₂⁵	64		C2^2.101C2^5	128,2244
C₂².₁₀₄C₂⁵	85^th central stem extension by C₂² of C₂⁵	64		C2^2.104C2^5	128,2247
C₂².₁₀₅C₂⁵	86^th central stem extension by C₂² of C₂⁵	64		C2^2.105C2^5	128,2248
C₂².₁₀₆C₂⁵	87^th central stem extension by C₂² of C₂⁵	64		C2^2.106C2^5	128,2249
C₂².₁₀₇C₂⁵	88^th central stem extension by C₂² of C₂⁵	64		C2^2.107C2^5	128,2250
C₂².₁₁₁C₂⁵	92^nd central stem extension by C₂² of C₂⁵	64		C2^2.111C2^5	128,2254
C₂³.₁₄₆C₂⁴	46^th non-split extension by C₂³ of C₂⁴ acting via C₂⁴/C₂³=C₂	64		C2^3.146C2^4	128,2255
C₂².₁₁₃C₂⁵	94^th central stem extension by C₂² of C₂⁵	64		C2^2.113C2^5	128,2256
C₂×C₂².₅₆C₂⁴	Direct product of C₂ and C₂².₅₆C₂⁴	64		C2xC2^2.56C2^4	128,2259
C₂×C₂².₅₇C₂⁴	Direct product of C₂ and C₂².₅₇C₂⁴	64		C2xC2^2.57C2^4	128,2260
C₂².₁₂₀C₂⁵	101^st central stem extension by C₂² of C₂⁵	64		C2^2.120C2^5	128,2263
C₂².₁₃₃C₂⁵	114^th central stem extension by C₂² of C₂⁵	64		C2^2.133C2^5	128,2276
C₂².₁₃₆C₂⁵	117^th central stem extension by C₂² of C₂⁵	64		C2^2.136C2^5	128,2279
C₂².₁₃₇C₂⁵	118^th central stem extension by C₂² of C₂⁵	64		C2^2.137C2^5	128,2280
C₂².₁₃₉C₂⁵	120^th central stem extension by C₂² of C₂⁵	64		C2^2.139C2^5	128,2282
C₂².₁₄₁C₂⁵	122^nd central stem extension by C₂² of C₂⁵	64		C2^2.141C2^5	128,2284
C₂².₁₄₂C₂⁵	123^rd central stem extension by C₂² of C₂⁵	64		C2^2.142C2^5	128,2285
C₂².₁₄₃C₂⁵	124^th central stem extension by C₂² of C₂⁵	64		C2^2.143C2^5	128,2286
C₂².₁₄₄C₂⁵	125^th central stem extension by C₂² of C₂⁵	64		C2^2.144C2^5	128,2287
C₂².₁₄₅C₂⁵	126^th central stem extension by C₂² of C₂⁵	64		C2^2.145C2^5	128,2288
C₂².₁₄₆C₂⁵	127^th central stem extension by C₂² of C₂⁵	64		C2^2.146C2^5	128,2289
C₂².₁₄₈C₂⁵	129^th central stem extension by C₂² of C₂⁵	64		C2^2.148C2^5	128,2291
C₂².₁₅₂C₂⁵	133^rd central stem extension by C₂² of C₂⁵	64		C2^2.152C2^5	128,2295
C₂².₁₅₄C₂⁵	135^th central stem extension by C₂² of C₂⁵	64		C2^2.154C2^5	128,2297
C₂².₁₅₆C₂⁵	137^th central stem extension by C₂² of C₂⁵	64		C2^2.156C2^5	128,2299
C₂³×M₄(2)	Direct product of C₂³ and M₄(2)	64		C2^3xM4(2)	128,2302
C₂²×C₈○D₄	Direct product of C₂² and C₈○D₄	64		C2^2xC8oD4	128,2303
C₂³×D₈	Direct product of C₂³ and D₈	64		C2^3xD8	128,2306
C₂³×SD₁₆	Direct product of C₂³ and SD₁₆	64		C2^3xSD16	128,2307
C₂²×C₄○D₈	Direct product of C₂² and C₄○D₈	64		C2^2xC4oD8	128,2309
C₂²×C₈.C₂²	Direct product of C₂² and C₈.C₂²	64		C2^2xC8.C2^2	128,2311
C₂×Q₈○D₈	Direct product of C₂ and Q₈○D₈	64		C2xQ8oD8	128,2315
D₄×C₂⁴	Direct product of C₂⁴ and D₄	64		D4xC2^4	128,2320
C₂³×C₄○D₄	Direct product of C₂³ and C₄○D₄	64		C2^3xC4oD4	128,2322
C₂²×2_-¹⁺⁴	Direct product of C₂² and 2_-¹⁺⁴	64		C2^2xES-(2,2)	128,2324

Groups of order 192

		d	ρ	Label	ID
C₂.U₂(𝔽₃)	The central extension by C₂ of U₂(𝔽₃)	64		C2.U(2,3)	192,183
C₈.₇S₄	2^nd central extension by C₈ of S₄	64	2	C8.7S4	192,187
C₈×SL₂(𝔽₃)	Direct product of C₈ and SL₂(𝔽₃)	64		C8xSL(2,3)	192,200
C₁₆.A₄	The central extension by C₁₆ of A₄	64	2	C16.A4	192,204
Q₈⋊Dic₆	The semidirect product of Q₈ and Dic₆ acting via Dic₆/C₄=S₃	64		Q8:Dic6	192,945
C₄×CSU₂(𝔽₃)	Direct product of C₄ and CSU₂(𝔽₃)	64		C4xCSU(2,3)	192,946
CSU₂(𝔽₃)⋊C₄	1^st semidirect product of CSU₂(𝔽₃) and C₄ acting via C₄/C₂=C₂	64		CSU(2,3):C4	192,947
Q₈.Dic₆	1^st non-split extension by Q₈ of Dic₆ acting via Dic₆/C₄=S₃	64		Q8.Dic6	192,948
Q₈.D₁₂	1^st non-split extension by Q₈ of D₁₂ acting via D₁₂/C₄=S₃	64		Q8.D12	192,949
SL₂(𝔽₃)⋊Q₈	2^nd semidirect product of SL₂(𝔽₃) and Q₈ acting via Q₈/C₄=C₂	64		SL(2,3):Q8	192,950
C₈.S₄	2^nd non-split extension by C₈ of S₄ acting via S₄/A₄=C₂	64	4-	C8.S4	192,962
C₂×Q₈⋊Dic₃	Direct product of C₂ and Q₈⋊Dic₃	64		C2xQ8:Dic3	192,977
C₄.A₄⋊C₄	4^th semidirect product of C₄.A₄ and C₄ acting via C₄/C₂=C₂	64		C4.A4:C4	192,983
SL₂(𝔽₃).D₄	2^nd non-split extension by SL₂(𝔽₃) of D₄ acting via D₄/C₂²=C₂	64		SL(2,3).D4	192,984
(C₂×C₄).S₄	15^th non-split extension by C₂×C₄ of S₄ acting via S₄/A₄=C₂	64		(C2xC4).S4	192,985
C₂×C₄×SL₂(𝔽₃)	Direct product of C₂×C₄ and SL₂(𝔽₃)	64		C2xC4xSL(2,3)	192,996
C₄×C₄.A₄	Direct product of C₄ and C₄.A₄	64		C4xC4.A4	192,997
C₄○D₄⋊C₁₂	The semidirect product of C₄○D₄ and C₁₂ acting via C₁₂/C₂=C₆	64		C4oD4:C12	192,999
SL₂(𝔽₃)⋊₆D₄	2^nd semidirect product of SL₂(𝔽₃) and D₄ acting through Inn(SL₂(𝔽₃))	64		SL(2,3):6D4	192,1005
SL₂(𝔽₃)⋊₃Q₈	The semidirect product of SL₂(𝔽₃) and Q₈ acting through Inn(SL₂(𝔽₃))	64		SL(2,3):3Q8	192,1006
Q₈×SL₂(𝔽₃)	Direct product of Q₈ and SL₂(𝔽₃)	64		Q8xSL(2,3)	192,1007
C₂×C₈.A₄	Direct product of C₂ and C₈.A₄	64		C2xC8.A4	192,1012
Q₈⋊SL₂(𝔽₃)	The semidirect product of Q₈ and SL₂(𝔽₃) acting via SL₂(𝔽₃)/Q₈=C₃	64		Q8:SL(2,3)	192,1022
C₂²×CSU₂(𝔽₃)	Direct product of C₂² and CSU₂(𝔽₃)	64		C2^2xCSU(2,3)	192,1474
C₂×C₄.S₄	Direct product of C₂ and C₄.S₄	64		C2xC4.S4	192,1479
C₂³×SL₂(𝔽₃)	Direct product of C₂³ and SL₂(𝔽₃)	64		C2^3xSL(2,3)	192,1498
C₂²×C₄.A₄	Direct product of C₂² and C₄.A₄	64		C2^2xC4.A4	192,1500

Groups of order 320

		d	ρ	Label	ID
C₂².₅₈C₂⁴⋊C₅	The semidirect product of C₂².₅₈C₂⁴ and C₅ acting faithfully	64		C2^2.58C2^4:C5	320,1012
2_-¹⁺⁴.D₅	The non-split extension by 2_-¹⁺⁴ of D₅ acting faithfully	64	4-	ES-(2,2).D5	320,1581
C₂×2_-¹⁺⁴⋊C₅	Direct product of C₂ and 2_-¹⁺⁴⋊C₅	64		C2xES-(2,2):C5	320,1585
2_-¹⁺⁴.C₁₀	The non-split extension by 2_-¹⁺⁴ of C₁₀ acting via C₁₀/C₂=C₅	64	4	ES-(2,2).C10	320,1586

On 65 points

Groups of order 65

		d	ρ	Label	ID
C₆₅	Cyclic group	65	1	C65	65,1

Groups of order 130

		d	ρ	Label	ID
D₅×C₁₃	Direct product of C₁₃ and D₅	65	2	D5xC13	130,1
C₅×D₁₃	Direct product of C₅ and D₁₃	65	2	C5xD13	130,2
D₆₅	Dihedral group	65	2+	D65	130,3

Groups of order 195

		d	ρ	Label	ID
C₅×C₁₃⋊C₃	Direct product of C₅ and C₁₃⋊C₃	65	3	C5xC13:C3	195,1

Groups of order 260

		d	ρ	Label	ID
C₅×C₁₃⋊C₄	Direct product of C₅ and C₁₃⋊C₄	65	4	C5xC13:C4	260,5
C₆₅⋊C₄	3^rd semidirect product of C₆₅ and C₄ acting faithfully	65	4	C65:C4	260,6
C₁₃×F₅	Direct product of C₁₃ and F₅	65	4	C13xF5	260,7
C₁₃⋊₃F₅	The semidirect product of C₁₃ and F₅ acting via F₅/D₅=C₂	65	4	C13:3F5	260,8
C₁₃⋊F₅	1^st semidirect product of C₁₃ and F₅ acting via F₅/C₅=C₄	65	4+	C13:F5	260,9
C₆₅⋊₂C₄	2^nd semidirect product of C₆₅ and C₄ acting faithfully	65	4+	C65:2C4	260,10
D₅×D₁₃	Direct product of D₅ and D₁₃	65	4+	D5xD13	260,11

Groups of order 390

		d	ρ	Label	ID
C₅×C₁₃⋊C₆	Direct product of C₅ and C₁₃⋊C₆	65	6	C5xC13:C6	390,1
D₅×C₁₃⋊C₃	Direct product of D₅ and C₁₃⋊C₃	65	6	D5xC13:C3	390,2
D₆₅⋊C₃	The semidirect product of D₆₅ and C₃ acting faithfully	65	6+	D65:C3	390,3

On 66 points

Groups of order 66

		d	ρ	Label	ID
C₆₆	Cyclic group	66	1	C66	66,4

Groups of order 132

		d	ρ	Label	ID
C₆×D₁₁	Direct product of C₆ and D₁₁	66	2	C6xD11	132,7
S₃×C₂₂	Direct product of C₂₂ and S₃	66	2	S3xC22	132,8
D₆₆	Dihedral group; = C₂×D₃₃	66	2+	D66	132,9

Groups of order 198

		d	ρ	Label	ID
S₃×C₃₃	Direct product of C₃₃ and S₃	66	2	S3xC33	198,6
C₃×D₃₃	Direct product of C₃ and D₃₃	66	2	C3xD33	198,7

Groups of order 264

		d	ρ	Label	ID
C₂×S₃×D₁₁	Direct product of C₂, S₃ and D₁₁	66	4+	C2xS3xD11	264,34
A₄×C₂₂	Direct product of C₂₂ and A₄	66	3	A4xC22	264,35

Groups of order 330

		d	ρ	Label	ID
C₆×C₁₁⋊C₅	Direct product of C₆ and C₁₁⋊C₅	66	5	C6xC11:C5	330,4

Groups of order 396

		d	ρ	Label	ID
C₁₁×C₃²⋊C₄	Direct product of C₁₁ and C₃²⋊C₄	66	4	C11xC3^2:C4	396,17
C₃²⋊Dic₁₁	The semidirect product of C₃² and Dic₁₁ acting via Dic₁₁/C₁₁=C₄	66	4	C3^2:Dic11	396,18
C₃×S₃×D₁₁	Direct product of C₃, S₃ and D₁₁	66	4	C3xS3xD11	396,19
S₃²×C₁₁	Direct product of C₁₁, S₃ and S₃	66	4	S3^2xC11	396,21
S₃×D₃₃	Direct product of S₃ and D₃₃	66	4+	S3xD33	396,22
D₃₃⋊S₃	The semidirect product of D₃₃ and S₃ acting via S₃/C₃=C₂	66	4	D33:S3	396,23

On 67 points

Groups of order 67

		d	ρ	Label	ID
C₆₇	Cyclic group	67	1	C67	67,1

Groups of order 134

		d	ρ	Label	ID
D₆₇	Dihedral group	67	2+	D67	134,1

Groups of order 201

		d	ρ	Label	ID
C₆₇⋊C₃	The semidirect product of C₆₇ and C₃ acting faithfully	67	3	C67:C3	201,1

Groups of order 402

		d	ρ	Label	ID
C₆₇⋊C₆	The semidirect product of C₆₇ and C₆ acting faithfully	67	6+	C67:C6	402,1

On 68 points

Groups of order 68

		d	ρ	Label	ID
Dic₁₇	Dicyclic group; = C₁₇ ⋊₂ C₄	68	2-	Dic17	68,1
C₆₈	Cyclic group	68	1	C68	68,2
C₂×C₃₄	Abelian group of type [2,34]	68		C2xC34	68,5

Groups of order 136

		d	ρ	Label	ID
C₄×D₁₇	Direct product of C₄ and D₁₇	68	2	C4xD17	136,5
D₆₈	Dihedral group	68	2+	D68	136,6
C₁₇⋊D₄	The semidirect product of C₁₇ and D₄ acting via D₄/C₂²=C₂	68	2	C17:D4	136,8
D₄×C₁₇	Direct product of C₁₇ and D₄	68	2	D4xC17	136,10
C₂²×D₁₇	Direct product of C₂² and D₁₇	68		C2^2xD17	136,14

Groups of order 204

		d	ρ	Label	ID
A₄×C₁₇	Direct product of C₁₇ and A₄	68	3	A4xC17	204,8

Groups of order 272

		d	ρ	Label	ID
C₄×C₁₇⋊C₄	Direct product of C₄ and C₁₇⋊C₄	68	4	C4xC17:C4	272,31
C₆₈⋊C₄	1^st semidirect product of C₆₈ and C₄ acting faithfully	68	4	C68:C4	272,32
D₁₇.D₄	The non-split extension by D₁₇ of D₄ acting via D₄/C₂²=C₂	68	4+	D17.D4	272,35
D₄×D₁₇	Direct product of D₄ and D₁₇	68	4+	D4xD17	272,40
C₂²×C₁₇⋊C₄	Direct product of C₂² and C₁₇⋊C₄	68		C2^2xC17:C4	272,52

Groups of order 408

		d	ρ	Label	ID
C₁₇×S₄	Direct product of C₁₇ and S₄	68	3	C17xS4	408,36
C₁₇⋊S₄	The semidirect product of C₁₇ and S₄ acting via S₄/A₄=C₂	68	6+	C17:S4	408,37
A₄×D₁₇	Direct product of A₄ and D₁₇	68	6+	A4xD17	408,38

On 69 points

Groups of order 69

		d	ρ	Label	ID
C₆₉	Cyclic group	69	1	C69	69,1

Groups of order 138

		d	ρ	Label	ID
S₃×C₂₃	Direct product of C₂₃ and S₃	69	2	S3xC23	138,1
C₃×D₂₃	Direct product of C₃ and D₂₃	69	2	C3xD23	138,2
D₆₉	Dihedral group	69	2+	D69	138,3

Groups of order 276

		d	ρ	Label	ID
S₃×D₂₃	Direct product of S₃ and D₂₃	69	4+	S3xD23	276,5

On 70 points

Groups of order 70

		d	ρ	Label	ID
C₇₀	Cyclic group	70	1	C70	70,4

Groups of order 140

		d	ρ	Label	ID
C₁₀×D₇	Direct product of C₁₀ and D₇	70	2	C10xD7	140,8
D₅×C₁₄	Direct product of C₁₄ and D₅	70	2	D5xC14	140,9
D₇₀	Dihedral group; = C₂×D₃₅	70	2+	D70	140,10

Groups of order 210

		d	ρ	Label	ID
C₁₀×C₇⋊C₃	Direct product of C₁₀ and C₇⋊C₃	70	3	C10xC7:C3	210,4

Groups of order 280

		d	ρ	Label	ID
C₁₄×F₅	Direct product of C₁₄ and F₅	70	4	C14xF5	280,34
C₂×C₇⋊F₅	Direct product of C₂ and C₇⋊F₅	70	4	C2xC7:F5	280,35
C₂×D₅×D₇	Direct product of C₂, D₅ and D₇	70	4+	C2xD5xD7	280,36

Groups of order 350

		d	ρ	Label	ID
D₅×C₃₅	Direct product of C₃₅ and D₅	70	2	D5xC35	350,6
C₅×D₃₅	Direct product of C₅ and D₃₅	70	2	C5xD35	350,7

Groups of order 420

		d	ρ	Label	ID
C₁₀×F₇	Direct product of C₁₀ and F₇	70	6	C10xF7	420,17
C₂×D₅×C₇⋊C₃	Direct product of C₂, D₅ and C₇⋊C₃	70	6	C2xD5xC7:C3	420,18
C₂×C₅⋊F₇	Direct product of C₂ and C₅⋊F₇	70	6+	C2xC5:F7	420,19

Groups of order 490

		d	ρ	Label	ID
D₇×C₃₅	Direct product of C₃₅ and D₇	70	2	D7xC35	490,5
C₇×D₃₅	Direct product of C₇ and D₃₅	70	2	C7xD35	490,8

On 71 points

Groups of order 71

		d	ρ	Label	ID
C₇₁	Cyclic group	71	1	C71	71,1

Groups of order 142

		d	ρ	Label	ID
D₇₁	Dihedral group	71	2+	D71	142,1

Groups of order 355

		d	ρ	Label	ID
C₇₁⋊C₅	The semidirect product of C₇₁ and C₅ acting faithfully	71	5	C71:C5	355,1

Groups of order 497

		d	ρ	Label	ID
C₇₁⋊C₇	The semidirect product of C₇₁ and C₇ acting faithfully	71	7	C71:C7	497,1

On 72 points

Groups of order 72

		d	ρ	Label	ID
C₉⋊C₈	The semidirect product of C₉ and C₈ acting via C₈/C₄=C₂	72	2	C9:C8	72,1
C₇₂	Cyclic group	72	1	C72	72,2
Q₈⋊C₉	The semidirect product of Q₈ and C₉ acting via C₉/C₃=C₃	72	2	Q8:C9	72,3
Dic₁₈	Dicyclic group; = C₉ ⋊Q₈	72	2-	Dic18	72,4
C₂×Dic₉	Direct product of C₂ and Dic₉	72		C2xDic9	72,7
C₂×C₃₆	Abelian group of type [2,36]	72		C2xC36	72,9
Q₈×C₉	Direct product of C₉ and Q₈	72	2	Q8xC9	72,11
C₃²⋊₄C₈	2^nd semidirect product of C₃² and C₈ acting via C₈/C₄=C₂	72		C3^2:4C8	72,13
C₃×C₂₄	Abelian group of type [3,24]	72		C3xC24	72,14
C₂²×C₁₈	Abelian group of type [2,2,18]	72		C2^2xC18	72,18
C₃²⋊₄Q₈	2^nd semidirect product of C₃² and Q₈ acting via Q₈/C₄=C₂	72		C3^2:4Q8	72,31
C₂×C₃⋊Dic₃	Direct product of C₂ and C₃⋊Dic₃	72		C2xC3:Dic3	72,34
C₆×C₁₂	Abelian group of type [6,12]	72		C6xC12	72,36
Q₈×C₃²	Direct product of C₃² and Q₈	72		Q8xC3^2	72,38
C₂×C₆²	Abelian group of type [2,6,6]	72		C2xC6^2	72,50

Groups of order 144

		d	ρ	Label	ID
C₈×D₉	Direct product of C₈ and D₉	72	2	C8xD9	144,5
C₈⋊D₉	3^rd semidirect product of C₈ and D₉ acting via D₉/C₉=C₂	72	2	C8:D9	144,6
C₇₂⋊C₂	2^nd semidirect product of C₇₂ and C₂ acting faithfully	72	2	C72:C2	144,7
D₇₂	Dihedral group	72	2+	D72	144,8
C₄.Dic₉	The non-split extension by C₄ of Dic₉ acting via Dic₉/C₁₈=C₂	72	2	C4.Dic9	144,10
D₁₈⋊C₄	The semidirect product of D₁₈ and C₄ acting via C₄/C₂=C₂	72		D18:C4	144,14
D₄.D₉	The non-split extension by D₄ of D₉ acting via D₉/C₉=C₂	72	4-	D4.D9	144,15
D₄⋊D₉	The semidirect product of D₄ and D₉ acting via D₉/C₉=C₂	72	4+	D4:D9	144,16
Q₈⋊₂D₉	The semidirect product of Q₈ and D₉ acting via D₉/C₉=C₂	72	4+	Q8:2D9	144,18
C₁₈.D₄	7^th non-split extension by C₁₈ of D₄ acting via D₄/C₂²=C₂	72		C18.D4	144,19
C₉×C₂²⋊C₄	Direct product of C₉ and C₂²⋊C₄	72		C9xC2^2:C4	144,21
C₉×M₄(2)	Direct product of C₉ and M₄(2)	72	2	C9xM4(2)	144,24
C₉×D₈	Direct product of C₉ and D₈	72	2	C9xD8	144,25
C₉×SD₁₆	Direct product of C₉ and SD₁₆	72	2	C9xSD16	144,26
Q₈⋊D₉	The semidirect product of Q₈ and D₉ acting via D₉/C₃=S₃	72	4+	Q8:D9	144,32
Q₈.C₁₈	The non-split extension by Q₈ of C₁₈ acting via C₁₈/C₆=C₃	72	2	Q8.C18	144,36
C₂×C₄×D₉	Direct product of C₂×C₄ and D₉	72		C2xC4xD9	144,38
C₂×D₃₆	Direct product of C₂ and D₃₆	72		C2xD36	144,39
D₃₆⋊₅C₂	The semidirect product of D₃₆ and C₂ acting through Inn(D₃₆)	72	2	D36:5C2	144,40
D₄⋊₂D₉	The semidirect product of D₄ and D₉ acting through Inn(D₄)	72	4-	D4:2D9	144,42
Q₈×D₉	Direct product of Q₈ and D₉	72	4-	Q8xD9	144,43
Q₈⋊₃D₉	The semidirect product of Q₈ and D₉ acting through Inn(Q₈)	72	4+	Q8:3D9	144,44
C₂×C₉⋊D₄	Direct product of C₂ and C₉⋊D₄	72		C2xC9:D4	144,46
D₄×C₁₈	Direct product of C₁₈ and D₄	72		D4xC18	144,48
C₉×C₄○D₄	Direct product of C₉ and C₄○D₄	72	2	C9xC4oD4	144,50
C₈×C₃⋊S₃	Direct product of C₈ and C₃⋊S₃	72		C8xC3:S3	144,85
C₂₄⋊S₃	5^th semidirect product of C₂₄ and S₃ acting via S₃/C₃=C₂	72		C24:S3	144,86
C₂₄⋊₂S₃	2^nd semidirect product of C₂₄ and S₃ acting via S₃/C₃=C₂	72		C24:2S3	144,87
C₃²⋊₅D₈	2^nd semidirect product of C₃² and D₈ acting via D₈/C₈=C₂	72		C3^2:5D8	144,88
C₁₂.₅₈D₆	19^th non-split extension by C₁₂ of D₆ acting via D₆/C₆=C₂	72		C12.58D6	144,91
C₆.₁₁D₁₂	11^st non-split extension by C₆ of D₁₂ acting via D₁₂/C₁₂=C₂	72		C6.11D12	144,95
C₃²⋊₇D₈	2^nd semidirect product of C₃² and D₈ acting via D₈/D₄=C₂	72		C3^2:7D8	144,96
C₃²⋊₉SD₁₆	2^nd semidirect product of C₃² and SD₁₆ acting via SD₁₆/D₄=C₂	72		C3^2:9SD16	144,97
C₃²⋊₁₁SD₁₆	2^nd semidirect product of C₃² and SD₁₆ acting via SD₁₆/Q₈=C₂	72		C3^2:11SD16	144,98
C₆²⋊₅C₄	3^rd semidirect product of C₆² and C₄ acting via C₄/C₂=C₂	72		C6^2:5C4	144,100
C₃²×C₂²⋊C₄	Direct product of C₃² and C₂²⋊C₄	72		C3^2xC2^2:C4	144,102
C₃²×M₄(2)	Direct product of C₃² and M₄(2)	72		C3^2xM4(2)	144,105
C₃²×D₈	Direct product of C₃² and D₈	72		C3^2xD8	144,106
C₃²×SD₁₆	Direct product of C₃² and SD₁₆	72		C3^2xSD16	144,107
C₂³×D₉	Direct product of C₂³ and D₉	72		C2^3xD9	144,112
C₂×C₄×C₃⋊S₃	Direct product of C₂×C₄ and C₃⋊S₃	72		C2xC4xC3:S3	144,169
C₂×C₁₂⋊S₃	Direct product of C₂ and C₁₂⋊S₃	72		C2xC12:S3	144,170
C₁₂.₅₉D₆	20^th non-split extension by C₁₂ of D₆ acting via D₆/C₆=C₂	72		C12.59D6	144,171
C₁₂.D₆	24^th non-split extension by C₁₂ of D₆ acting via D₆/C₃=C₂²	72		C12.D6	144,173
Q₈×C₃⋊S₃	Direct product of Q₈ and C₃⋊S₃	72		Q8xC3:S3	144,174
C₁₂.₂₆D₆	26^th non-split extension by C₁₂ of D₆ acting via D₆/C₃=C₂²	72		C12.26D6	144,175
C₂×C₃²⋊₇D₄	Direct product of C₂ and C₃²⋊₇D₄	72		C2xC3^2:7D4	144,177
D₄×C₃×C₆	Direct product of C₃×C₆ and D₄	72		D4xC3xC6	144,179
C₃²×C₄○D₄	Direct product of C₃² and C₄○D₄	72		C3^2xC4oD4	144,181
C₂³×C₃⋊S₃	Direct product of C₂³ and C₃⋊S₃	72		C2^3xC3:S3	144,196

Groups of order 216

		d	ρ	Label	ID
C₃×C₉⋊C₈	Direct product of C₃ and C₉⋊C₈	72	2	C3xC9:C8	216,12
C₉×C₃⋊C₈	Direct product of C₉ and C₃⋊C₈	72	2	C9xC3:C8	216,13
He₃⋊₃C₈	1^st semidirect product of He₃ and C₈ acting via C₈/C₄=C₂	72	6	He3:3C8	216,14
C₉⋊C₂₄	The semidirect product of C₉ and C₂₄ acting via C₂₄/C₄=C₆	72	6	C9:C24	216,15
He₃⋊₄C₈	2^nd semidirect product of He₃ and C₈ acting via C₈/C₄=C₂	72	3	He3:4C8	216,17
C₈×He₃	Direct product of C₈ and He₃	72	3	C8xHe3	216,19
C₈×3_-¹⁺²	Direct product of C₈ and 3_-¹⁺²	72	3	C8xES-(3,1)	216,20
He₃⋊₂C₈	The semidirect product of He₃ and C₈ acting via C₈/C₂=C₄	72	3	He3:2C8	216,25
C₉⋊Dic₆	The semidirect product of C₉ and Dic₆ acting via Dic₆/Dic₃=C₂	72	4-	C9:Dic6	216,26
Dic₃×D₉	Direct product of Dic₃ and D₉	72	4-	Dic3xD9	216,27
S₃×Dic₉	Direct product of S₃ and Dic₉	72	4-	S3xDic9	216,30
D₆⋊D₉	1^st semidirect product of D₆ and D₉ acting via D₉/C₉=C₂	72	4-	D6:D9	216,31
He₃⋊₂Q₈	The semidirect product of He₃ and Q₈ acting via Q₈/C₂=C₂²	72	6-	He3:2Q8	216,33
C₉×SL₂(𝔽₃)	Direct product of C₉ and SL₂(𝔽₃)	72	2	C9xSL(2,3)	216,38
C₁₈.A₄	The non-split extension by C₁₈ of A₄ acting via A₄/C₂²=C₃	72	6	C18.A4	216,39
Q₈⋊3_-¹⁺²	The semidirect product of Q₈ and 3_-¹⁺² acting via 3_-¹⁺²/C₃²=C₃	72	6	Q8:ES-(3,1)	216,41
Q₈⋊He₃	The semidirect product of Q₈ and He₃ acting via He₃/C₃²=C₃	72	6	Q8:He3	216,42
C₃×Dic₁₈	Direct product of C₃ and Dic₁₈	72	2	C3xDic18	216,43
C₉×Dic₆	Direct product of C₉ and Dic₆	72	2	C9xDic6	216,44
C₁₂×D₉	Direct product of C₁₂ and D₉	72	2	C12xD9	216,45
C₃×D₃₆	Direct product of C₃ and D₃₆	72	2	C3xD36	216,46
S₃×C₃₆	Direct product of C₃₆ and S₃	72	2	S3xC36	216,47
C₉×D₁₂	Direct product of C₉ and D₁₂	72	2	C9xD12	216,48
He₃⋊₃Q₈	1^st semidirect product of He₃ and Q₈ acting via Q₈/C₄=C₂	72	6-	He3:3Q8	216,49
C₃₆.C₆	1^st non-split extension by C₃₆ of C₆ acting faithfully	72	6-	C36.C6	216,52
C₆×Dic₉	Direct product of C₆ and Dic₉	72		C6xDic9	216,55
Dic₃×C₁₈	Direct product of C₁₈ and Dic₃	72		Dic3xC18	216,56
C₂×C₃²⋊C₁₂	Direct product of C₂ and C₃²⋊C₁₂	72		C2xC3^2:C12	216,59
C₂×C₉⋊C₁₂	Direct product of C₂ and C₉⋊C₁₂	72		C2xC9:C12	216,61
He₃⋊₄Q₈	2^nd semidirect product of He₃ and Q₈ acting via Q₈/C₄=C₂	72	6	He3:4Q8	216,66
C₂×He₃⋊₃C₄	Direct product of C₂ and He₃⋊₃C₄	72		C2xHe3:3C4	216,71
C₂×C₄×He₃	Direct product of C₂×C₄ and He₃	72		C2xC4xHe3	216,74
C₂×C₄×3_-¹⁺²	Direct product of C₂×C₄ and 3_-¹⁺²	72		C2xC4xES-(3,1)	216,75
Q₈×He₃	Direct product of Q₈ and He₃	72	6	Q8xHe3	216,80
Q₈×3_-¹⁺²	Direct product of Q₈ and 3_-¹⁺²	72	6	Q8xES-(3,1)	216,81
C₃²×C₃⋊C₈	Direct product of C₃² and C₃⋊C₈	72		C3^2xC3:C8	216,82
C₃×C₃²⋊₄C₈	Direct product of C₃ and C₃²⋊₄C₈	72		C3xC3^2:4C8	216,83
C₂×C₆×D₉	Direct product of C₂×C₆ and D₉	72		C2xC6xD9	216,108
S₃×C₂×C₁₈	Direct product of C₂×C₁₈ and S₃	72		S3xC2xC18	216,109
C₂³×He₃	Direct product of C₂³ and He₃	72		C2^3xHe3	216,115
C₂³×3_-¹⁺²	Direct product of C₂³ and 3_-¹⁺²	72		C2^3xES-(3,1)	216,116
S₃×C₃⋊Dic₃	Direct product of S₃ and C₃⋊Dic₃	72		S3xC3:Dic3	216,124
Dic₃×C₃⋊S₃	Direct product of Dic₃ and C₃⋊S₃	72		Dic3xC3:S3	216,125
C₃³⋊₆D₄	3^rd semidirect product of C₃³ and D₄ acting via D₄/C₂=C₂²	72		C3^3:6D4	216,127
C₃³⋊₄Q₈	2^nd semidirect product of C₃³ and Q₈ acting via Q₈/C₂=C₂²	72		C3^3:4Q8	216,130
C₃²×SL₂(𝔽₃)	Direct product of C₃² and SL₂(𝔽₃)	72		C3^2xSL(2,3)	216,134
C₃²×Dic₆	Direct product of C₃² and Dic₆	72		C3^2xDic6	216,135
S₃×C₃×C₁₂	Direct product of C₃×C₁₂ and S₃	72		S3xC3xC12	216,136
C₃²×D₁₂	Direct product of C₃² and D₁₂	72		C3^2xD12	216,137
Dic₃×C₃×C₆	Direct product of C₃×C₆ and Dic₃	72		Dic3xC3xC6	216,138
C₃×C₃²⋊₄Q₈	Direct product of C₃ and C₃²⋊₄Q₈	72		C3xC3^2:4Q8	216,140
C₁₂×C₃⋊S₃	Direct product of C₁₂ and C₃⋊S₃	72		C12xC3:S3	216,141
C₃×C₁₂⋊S₃	Direct product of C₃ and C₁₂⋊S₃	72		C3xC12:S3	216,142
C₆×C₃⋊Dic₃	Direct product of C₆ and C₃⋊Dic₃	72		C6xC3:Dic3	216,143
S₃×C₆²	Direct product of C₆² and S₃	72		S3xC6^2	216,174
C₂×C₆×C₃⋊S₃	Direct product of C₂×C₆ and C₃⋊S₃	72		C2xC6xC3:S3	216,175

Groups of order 288

		d	ρ	Label	ID
C₄²⋊₄D₉	3^rd semidirect product of C₄² and D₉ acting via D₉/C₉=C₂	72	2	C4^2:4D9	288,12
C₂².D₃₆	1^st non-split extension by C₂² of D₃₆ acting via D₃₆/D₁₈=C₂	72	4	C2^2.D36	288,13
C₃₆.₄₈D₄	4^th non-split extension by C₃₆ of D₄ acting via D₄/C₂²=C₂	72	4+	C36.48D4	288,31
Dic₁₈⋊C₄	4^th semidirect product of Dic₁₈ and C₄ acting via C₄/C₂=C₂	72	4	Dic18:C4	288,32
C₃₆.D₄	7^th non-split extension by C₃₆ of D₄ acting via D₄/C₂=C₂²	72	4	C36.D4	288,39
C₂³⋊₂Dic₉	The semidirect product of C₂³ and Dic₉ acting via Dic₉/C₉=C₄	72	4	C2^3:2Dic9	288,41
Q₈⋊₃Dic₉	2^nd semidirect product of Q₈ and Dic₉ acting via Dic₉/C₁₈=C₂	72	4	Q8:3Dic9	288,44
C₉×C₂³⋊C₄	Direct product of C₉ and C₂³⋊C₄	72	4	C9xC2^3:C4	288,49
C₉×C₄.D₄	Direct product of C₉ and C₄.D₄	72	4	C9xC4.D4	288,50
C₉×C₄≀C₂	Direct product of C₉ and C₄≀C₂	72	2	C9xC4wrC2	288,54
C₁₂.S₄	8^th non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	72	6	C12.S4	288,68
C₁₂.₉S₄	9^th non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	72	4	C12.9S4	288,70
C₄²⋊C₁₈	1^st semidirect product of C₄² and C₁₈ acting via C₁₈/C₃=C₆	72	6	C4^2:C18	288,74
C₈×C₃.A₄	Direct product of C₈ and C₃.A₄	72	3	C8xC3.A4	288,76
C₂²⋊C₄×D₉	Direct product of C₂²⋊C₄ and D₉	72		C2^2:C4xD9	288,90
C₂²⋊₃D₃₆	The semidirect product of C₂² and D₃₆ acting via D₃₆/D₁₈=C₂	72		C2^2:3D36	288,92
M₄(2)×D₉	Direct product of M₄(2) and D₉	72	4	M4(2)xD9	288,116
C₈⋊D₁₈	1^st semidirect product of C₈ and D₁₈ acting via D₁₈/C₉=C₂²	72	4+	C8:D18	288,118
D₈×D₉	Direct product of D₈ and D₉	72	4+	D8xD9	288,120
D₈⋊D₉	2^nd semidirect product of D₈ and D₉ acting via D₉/C₉=C₂	72	4	D8:D9	288,121
SD₁₆×D₉	Direct product of SD₁₆ and D₉	72	4	SD16xD9	288,123
D₇₂⋊C₂	6^th semidirect product of D₇₂ and C₂ acting faithfully	72	4+	D72:C2	288,124
D₃₆⋊₆C₂²	4^th semidirect product of D₃₆ and C₂² acting via C₂²/C₂=C₂	72	4	D36:6C2^2	288,143
C₂³⋊₂D₁₈	1^st semidirect product of C₂³ and D₁₈ acting via D₁₈/C₉=C₂²	72		C2^3:2D18	288,147
D₄⋊D₁₈	2^nd semidirect product of D₄ and D₁₈ acting via D₁₈/C₁₈=C₂	72	4+	D4:D18	288,160
C₂⁴⋊₄D₉	1^st semidirect product of C₂⁴ and D₉ acting via D₉/C₉=C₂	72		C2^4:4D9	288,163
C₉×C₂²≀C₂	Direct product of C₉ and C₂²≀C₂	72		C9xC2^2wrC2	288,170
C₉×C₈⋊C₂²	Direct product of C₉ and C₈⋊C₂²	72	4	C9xC8:C2^2	288,186
C₁₂²⋊C₂	7^th semidirect product of C₁₂² and C₂ acting faithfully	72		C12^2:C2	288,280
C₆².₁₁₀D₄	15^th non-split extension by C₆² of D₄ acting via D₄/C₂²=C₂	72		C6^2.110D4	288,281
C₁₂.₁₉D₁₂	19^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/C₆=C₂²	72		C12.19D12	288,298
C₆².₃₇D₄	21^st non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	72		C6^2.37D4	288,300
(C₆×D₄).S₃	11^st non-split extension by C₆×D₄ of S₃ acting via S₃/C₃=C₂	72		(C6xD4).S3	288,308
C₆².₃₈D₄	22^nd non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	72		C6^2.38D4	288,309
C₆².₃₉D₄	23^rd non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	72		C6^2.39D4	288,312
C₃²×C₂³⋊C₄	Direct product of C₃² and C₂³⋊C₄	72		C3^2xC2^3:C4	288,317
C₃²×C₄.D₄	Direct product of C₃² and C₄.D₄	72		C3^2xC4.D4	288,318
C₃²×C₄≀C₂	Direct product of C₃² and C₄≀C₂	72		C3^2xC4wrC2	288,322
C₁₂.₁S₄	1^st non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	72	6-	C12.1S4	288,332
C₁₂.₄S₄	4^th non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	72	4+	C12.4S4	288,340
C₂×C₆.S₄	Direct product of C₂ and C₆.S₄	72		C2xC6.S4	288,341
C₂×C₄×C₃.A₄	Direct product of C₂×C₄ and C₃.A₄	72		C2xC4xC3.A4	288,343
Q₈×C₃.A₄	Direct product of Q₈ and C₃.A₄	72	6	Q8xC3.A4	288,346
2₊¹⁺⁴⋊C₉	1^st semidirect product of 2₊¹⁺⁴ and C₉ acting via C₉/C₃=C₃	72	4	ES+(2,2):C9	288,348
C₂²⋊(Q₈⋊C₉)	The semidirect product of C₂² and Q₈⋊C₉ acting via Q₈⋊C₉/C₃×Q₈=C₃	72	6	C2^2:(Q8:C9)	288,350
2₊¹⁺⁴⋊₂C₉	2^nd semidirect product of 2₊¹⁺⁴ and C₉ acting via C₉/C₃=C₃	72	4	ES+(2,2):2C9	288,351
C₂×D₄×D₉	Direct product of C₂, D₄ and D₉	72		C2xD4xD9	288,356
D₄⋊₆D₁₈	2^nd semidirect product of D₄ and D₁₈ acting through Inn(D₄)	72	4	D4:6D18	288,358
C₄○D₄×D₉	Direct product of C₄○D₄ and D₉	72	4	C4oD4xD9	288,362
D₄⋊₈D₁₈	4^th semidirect product of D₄ and D₁₈ acting through Inn(D₄)	72	4+	D4:8D18	288,363
C₉×2₊¹⁺⁴	Direct product of C₉ and 2₊¹⁺⁴	72	4	C9xES+(2,2)	288,371
C₃×A₄⋊C₈	Direct product of C₃ and A₄⋊C₈	72	3	C3xA4:C8	288,398
C₃×U₂(𝔽₃)	Direct product of C₃ and U₂(𝔽₃)	72	2	C3xU(2,3)	288,400
C₁₂.₁₂S₄	12^nd non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	72	6	C12.12S4	288,402
C₃⋊U₂(𝔽₃)	The semidirect product of C₃ and U₂(𝔽₃) acting via U₂(𝔽₃)/C₄.A₄=C₂	72	4	C3:U(2,3)	288,404
A₄×C₃⋊C₈	Direct product of A₄ and C₃⋊C₈	72	6	A4xC3:C8	288,408
A₄×C₂₄	Direct product of C₂₄ and A₄	72	3	A4xC24	288,637
C₂²⋊C₄×C₃⋊S₃	Direct product of C₂²⋊C₄ and C₃⋊S₃	72		C2^2:C4xC3:S3	288,737
C₆²⋊₁₂D₄	9^th semidirect product of C₆² and D₄ acting via D₄/C₂=C₂²	72		C6^2:12D4	288,739
M₄(2)×C₃⋊S₃	Direct product of M₄(2) and C₃⋊S₃	72		M4(2)xC3:S3	288,763
C₂₄⋊₃D₆	3^rd semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	72		C24:3D6	288,765
D₈×C₃⋊S₃	Direct product of D₈ and C₃⋊S₃	72		D8xC3:S3	288,767
C₂₄⋊₈D₆	8^th semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	72		C24:8D6	288,768
SD₁₆×C₃⋊S₃	Direct product of SD₁₆ and C₃⋊S₃	72		SD16xC3:S3	288,770
C₂₄⋊₇D₆	7^th semidirect product of C₂₄ and D₆ acting via D₆/C₃=C₂²	72		C24:7D6	288,771
C₆².₁₃₁D₄	36^th non-split extension by C₆² of D₄ acting via D₄/C₂²=C₂	72		C6^2.131D4	288,789
C₆²⋊₁₃D₄	10^th semidirect product of C₆² and D₄ acting via D₄/C₂=C₂²	72		C6^2:13D4	288,794
C₆².₇₃D₄	57^th non-split extension by C₆² of D₄ acting via D₄/C₂=C₂²	72		C6^2.73D4	288,806
C₆²⋊₂₄D₄	3^rd semidirect product of C₆² and D₄ acting via D₄/C₂²=C₂	72		C6^2:24D4	288,810
C₃²×C₂²≀C₂	Direct product of C₃² and C₂²≀C₂	72		C3^2xC2^2wrC2	288,817
C₃²×C₈⋊C₂²	Direct product of C₃² and C₈⋊C₂²	72		C3^2xC8:C2^2	288,833
C₂³×C₃.A₄	Direct product of C₂³ and C₃.A₄	72		C2^3xC3.A4	288,837
Dic₃.S₄	3^rd non-split extension by Dic₃ of S₄ acting via S₄/A₄=C₂	72	6-	Dic3.S4	288,852
C₃×A₄⋊Q₈	Direct product of C₃ and A₄⋊Q₈	72	6	C3xA4:Q8	288,896
C₆×A₄⋊C₄	Direct product of C₆ and A₄⋊C₄	72		C6xA4:C4	288,905
A₄⋊Dic₆	The semidirect product of A₄ and Dic₆ acting via Dic₆/C₁₂=C₂	72	6-	A4:Dic6	288,907
C₂×C₆.₇S₄	Direct product of C₂ and C₆.₇S₄	72		C2xC6.7S4	288,916
A₄×Dic₆	Direct product of A₄ and Dic₆	72	6-	A4xDic6	288,918
Dic₆.A₄	The non-split extension by Dic₆ of A₄ acting through Inn(Dic₆)	72	4+	Dic6.A4	288,924
C₂×Dic₃×A₄	Direct product of C₂, Dic₃ and A₄	72		C2xDic3xA4	288,927
A₄×C₂×C₁₂	Direct product of C₂×C₁₂ and A₄	72		A4xC2xC12	288,979
C₃×Q₈×A₄	Direct product of C₃, Q₈ and A₄	72	6	C3xQ8xA4	288,982
C₃×Q₈.A₄	Direct product of C₃ and Q₈.A₄	72	4	C3xQ8.A4	288,984
C₃×Q₈⋊A₄	Direct product of C₃ and Q₈⋊A₄	72	6	C3xQ8:A4	288,986
C₂×D₄×C₃⋊S₃	Direct product of C₂, D₄ and C₃⋊S₃	72		C2xD4xC3:S3	288,1007
C₃²⋊₈2₊¹⁺⁴	2^nd semidirect product of C₃² and 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	72		C3^2:8ES+(2,2)	288,1009
C₄○D₄×C₃⋊S₃	Direct product of C₄○D₄ and C₃⋊S₃	72		C4oD4xC3:S3	288,1013
C₆².₁₅₄C₂³	149^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	72		C6^2.154C2^3	288,1014
C₃²×2₊¹⁺⁴	Direct product of C₃² and 2₊¹⁺⁴	72		C3^2xES+(2,2)	288,1022
A₄×C₂²×C₆	Direct product of C₂²×C₆ and A₄	72		A4xC2^2xC6	288,1041

Groups of order 360

		d	ρ	Label	ID
C₃×SL₂(𝔽₅)	Direct product of C₃ and SL₂(𝔽₅)	72	2	C3xSL(2,5)	360,51

Groups of order 432

		d	ρ	Label	ID
C₃₆.₃₈D₆	9^th non-split extension by C₃₆ of D₆ acting via D₆/S₃=C₂	72	4	C36.38D6	432,59
C₃₆.₄₀D₆	11^st non-split extension by C₃₆ of D₆ acting via D₆/S₃=C₂	72	4	C36.40D6	432,61
C₆.D₃₆	2^nd non-split extension by C₆ of D₃₆ acting via D₃₆/D₁₈=C₂	72	4+	C6.D36	432,63
C₃⋊D₇₂	The semidirect product of C₃ and D₇₂ acting via D₇₂/D₃₆=C₂	72	4+	C3:D72	432,64
C₉⋊D₂₄	The semidirect product of C₉ and D₂₄ acting via D₂₄/D₁₂=C₂	72	4+	C9:D24	432,69
C₁₈.D₁₂	3^rd non-split extension by C₁₈ of D₁₂ acting via D₁₂/D₆=C₂	72	4+	C18.D12	432,73
C₃²⋊C₆⋊C₈	The semidirect product of C₃²⋊C₆ and C₈ acting via C₈/C₄=C₂	72	6	C3^2:C6:C8	432,76
He₃⋊M₄(2)	1^st semidirect product of He₃ and M₄(2) acting via M₄(2)/C₄=C₂²	72	6	He3:M4(2)	432,77
He₃⋊₃SD₁₆	1^st semidirect product of He₃ and SD₁₆ acting via SD₁₆/C₄=C₂²	72	6	He3:3SD16	432,78
He₃⋊₂D₈	1^st semidirect product of He₃ and D₈ acting via D₈/C₄=C₂²	72	6+	He3:2D8	432,79
C₁₂.₈₉S₃²	9^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃⋊S₃=C₂	72	6	C12.89S3^2	432,81
He₃⋊₃M₄(2)	2^nd semidirect product of He₃ and M₄(2) acting via M₄(2)/C₄=C₂²	72	6	He3:3M4(2)	432,82
He₃⋊₃D₈	2^nd semidirect product of He₃ and D₈ acting via D₈/C₄=C₂²	72	12+	He3:3D8	432,83
He₃⋊₄SD₁₆	2^nd semidirect product of He₃ and SD₁₆ acting via SD₁₆/C₄=C₂²	72	12-	He3:4SD16	432,84
He₃⋊₅SD₁₆	3^rd semidirect product of He₃ and SD₁₆ acting via SD₁₆/C₄=C₂²	72	12+	He3:5SD16	432,85
C₆.₁₈D₃₆	7^th non-split extension by C₆ of D₃₆ acting via D₃₆/D₁₈=C₂	72		C6.18D36	432,92
C₆².₄D₆	4^th non-split extension by C₆² of D₆ acting faithfully	72		C6^2.4D6	432,97
C₆².₅D₆	5^th non-split extension by C₆² of D₆ acting faithfully	72		C6^2.5D6	432,98
C₈×C₃²⋊C₆	Direct product of C₈ and C₃²⋊C₆	72	6	C8xC3^2:C6	432,115
He₃⋊₅M₄(2)	1^st semidirect product of He₃ and M₄(2) acting via M₄(2)/C₈=C₂	72	6	He3:5M4(2)	432,116
He₃⋊₆SD₁₆	1^st semidirect product of He₃ and SD₁₆ acting via SD₁₆/C₈=C₂	72	6	He3:6SD16	432,117
He₃⋊₄D₈	1^st semidirect product of He₃ and D₈ acting via D₈/C₈=C₂	72	6+	He3:4D8	432,118
C₈×C₉⋊C₆	Direct product of C₈ and C₉⋊C₆	72	6	C8xC9:C6	432,120
C₇₂⋊C₆	4^th semidirect product of C₇₂ and C₆ acting faithfully	72	6	C72:C6	432,121
C₇₂⋊₂C₆	2^nd semidirect product of C₇₂ and C₆ acting faithfully	72	6	C72:2C6	432,122
D₇₂⋊C₃	The semidirect product of D₇₂ and C₃ acting faithfully	72	6+	D72:C3	432,123
C₃×C₄.Dic₉	Direct product of C₃ and C₄.Dic₉	72	2	C3xC4.Dic9	432,125
C₉×C₄.Dic₃	Direct product of C₉ and C₄.Dic₃	72	2	C9xC4.Dic3	432,127
He₃⋊₇M₄(2)	1^st semidirect product of He₃ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	72	6	He3:7M4(2)	432,137
C₆².₂₁D₆	4^th non-split extension by C₆² of D₆ acting via D₆/C₂=S₃	72		C6^2.21D6	432,141
C₃₆.C₁₂	1^st non-split extension by C₃₆ of C₁₂ acting via C₁₂/C₂=C₆	72	6	C36.C12	432,143
D₁₈⋊C₁₂	The semidirect product of D₁₈ and C₁₂ acting via C₁₂/C₂=C₆	72		D18:C12	432,147
C₃×D₄.D₉	Direct product of C₃ and D₄.D₉	72	4	C3xD4.D9	432,148
C₃×D₄⋊D₉	Direct product of C₃ and D₄⋊D₉	72	4	C3xD4:D9	432,149
C₉×D₄⋊S₃	Direct product of C₉ and D₄⋊S₃	72	4	C9xD4:S3	432,150
C₉×D₄.S₃	Direct product of C₉ and D₄.S₃	72	4	C9xD4.S3	432,151
He₃⋊₈SD₁₆	1^st semidirect product of He₃ and SD₁₆ acting via SD₁₆/D₄=C₂	72	12-	He3:8SD16	432,152
He₃⋊₆D₈	1^st semidirect product of He₃ and D₈ acting via D₈/D₄=C₂	72	12+	He3:6D8	432,153
Dic₁₈⋊C₆	1^st semidirect product of Dic₁₈ and C₆ acting faithfully	72	12-	Dic18:C6	432,154
D₃₆⋊C₆	1^st semidirect product of D₃₆ and C₆ acting faithfully	72	12+	D36:C6	432,155
He₃⋊₁₀SD₁₆	1^st semidirect product of He₃ and SD₁₆ acting via SD₁₆/Q₈=C₂	72	12+	He3:10SD16	432,161
D₃₆.C₆	1^st non-split extension by D₃₆ of C₆ acting faithfully	72	12+	D36.C6	432,163
C₃×C₁₈.D₄	Direct product of C₃ and C₁₈.D₄	72		C3xC18.D4	432,164
C₉×C₆.D₄	Direct product of C₉ and C₆.D₄	72		C9xC6.D4	432,165
C₆²⋊₃C₁₂	2^nd semidirect product of C₆² and C₁₂ acting via C₁₂/C₂=C₆	72		C6^2:3C12	432,166
C₆².₂₇D₆	10^th non-split extension by C₆² of D₆ acting via D₆/C₂=S₃	72		C6^2.27D6	432,167
C₈×He₃⋊C₂	Direct product of C₈ and He₃⋊C₂	72	3	C8xHe3:C2	432,173
He₃⋊₆M₄(2)	2^nd semidirect product of He₃ and M₄(2) acting via M₄(2)/C₈=C₂	72	6	He3:6M4(2)	432,174
He₃⋊₇SD₁₆	2^nd semidirect product of He₃ and SD₁₆ acting via SD₁₆/C₈=C₂	72	6	He3:7SD16	432,175
He₃⋊₅D₈	2^nd semidirect product of He₃ and D₈ acting via D₈/C₈=C₂	72	6	He3:5D8	432,176
He₃⋊₈M₄(2)	2^nd semidirect product of He₃ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	72	6	He3:8M4(2)	432,185
C₆².₃₁D₆	14^th non-split extension by C₆² of D₆ acting via D₆/C₂=S₃	72		C6^2.31D6	432,189
He₃⋊₇D₈	2^nd semidirect product of He₃ and D₈ acting via D₈/D₄=C₂	72	6	He3:7D8	432,192
He₃⋊₉SD₁₆	2^nd semidirect product of He₃ and SD₁₆ acting via SD₁₆/D₄=C₂	72	6	He3:9SD16	432,193
He₃⋊₁₁SD₁₆	2^nd semidirect product of He₃ and SD₁₆ acting via SD₁₆/Q₈=C₂	72	6	He3:11SD16	432,196
C₆²⋊₄Dic₃	3^rd semidirect product of C₆² and Dic₃ acting via Dic₃/C₂=S₃	72		C6^2:4Dic3	432,199
C₂²⋊C₄×He₃	Direct product of C₂²⋊C₄ and He₃	72		C2^2:C4xHe3	432,204
C₂²⋊C₄×3_-¹⁺²	Direct product of C₂²⋊C₄ and 3_-¹⁺²	72		C2^2:C4xES-(3,1)	432,205
M₄(2)×He₃	Direct product of M₄(2) and He₃	72	6	M4(2)xHe3	432,213
M₄(2)×3_-¹⁺²	Direct product of M₄(2) and 3_-¹⁺²	72	6	M4(2)xES-(3,1)	432,214
D₈×He₃	Direct product of D₈ and He₃	72	6	D8xHe3	432,216
D₈×3_-¹⁺²	Direct product of D₈ and 3_-¹⁺²	72	6	D8xES-(3,1)	432,217
SD₁₆×He₃	Direct product of SD₁₆ and He₃	72	6	SD16xHe3	432,219
SD₁₆×3_-¹⁺²	Direct product of SD₁₆ and 3_-¹⁺²	72	6	SD16xES-(3,1)	432,220
He₃⋊₂SD₁₆	The semidirect product of He₃ and SD₁₆ acting via SD₁₆/C₂=D₄	72	6	He3:2SD16	432,234
He₃⋊D₈	The semidirect product of He₃ and D₈ acting via D₈/C₂=D₄	72	6+	He3:D8	432,235
C₆.S₃≀C₂	4^th non-split extension by C₆ of S₃≀C₂ acting via S₃≀C₂/C₃²⋊C₄=C₂	72	6-	C6.S3wrC2	432,237
C₂.SU₃(𝔽₂)	The central extension by C₂ of SU₃(𝔽₂)	72	3	C2.SU(3,2)	432,239
C₉×GL₂(𝔽₃)	Direct product of C₉ and GL₂(𝔽₃)	72	2	C9xGL(2,3)	432,241
C₃².GL₂(𝔽₃)	The non-split extension by C₃² of GL₂(𝔽₃) acting via GL₂(𝔽₃)/Q₈=S₃	72	12+	C3^2.GL(2,3)	432,245
C₃²⋊₂GL₂(𝔽₃)	1^st semidirect product of C₃² and GL₂(𝔽₃) acting via GL₂(𝔽₃)/Q₈=S₃	72	12+	C3^2:2GL(2,3)	432,248
C₁₈.₆S₄	6^th non-split extension by C₁₈ of S₄ acting via S₄/A₄=C₂	72	4+	C18.6S4	432,253
C₃²⋊₃GL₂(𝔽₃)	2^nd semidirect product of C₃² and GL₂(𝔽₃) acting via GL₂(𝔽₃)/Q₈=S₃	72	6	C3^2:3GL(2,3)	432,258
D₁₈.A₄	The non-split extension by D₁₈ of A₄ acting via A₄/C₂²=C₃	72	12-	D18.A4	432,263
D₉×SL₂(𝔽₃)	Direct product of D₉ and SL₂(𝔽₃)	72	4-	D9xSL(2,3)	432,264
C₆.(S₃×A₄)	7^th non-split extension by C₆ of S₃×A₄ acting via S₃×A₄/C₃×A₄=C₂	72	12+	C6.(S3xA4)	432,269
Q₈⋊He₃⋊C₂	4^th semidirect product of Q₈⋊He₃ and C₂ acting faithfully	72	12-	Q8:He3:C2	432,270
He₃⋊₂(C₂×C₈)	The semidirect product of He₃ and C₂×C₈ acting via C₂×C₈/C₄=C₄	72	3	He3:2(C2xC8)	432,273
He₃⋊₁M₄(2)	The semidirect product of He₃ and M₄(2) acting via M₄(2)/C₄=C₄	72	6	He3:1M4(2)	432,274
C₄×He₃⋊C₄	Direct product of C₄ and He₃⋊C₄	72	3	C4xHe3:C4	432,275
C₄⋊(He₃⋊C₄)	The semidirect product of C₄ and He₃⋊C₄ acting via He₃⋊C₄/He₃⋊C₂=C₂	72	6	C4:(He3:C4)	432,276
He₃⋊₄M₄(2)	The semidirect product of He₃ and M₄(2) acting via M₄(2)/C₂²=C₄	72	6	He3:4M4(2)	432,278
D₁₈.D₆	1^st non-split extension by D₁₈ of D₆ acting via D₆/S₃=C₂	72	4	D18.D6	432,281
Dic₆⋊₅D₉	The semidirect product of Dic₆ and D₉ acting through Inn(Dic₆)	72	4+	Dic6:5D9	432,282
Dic₁₈⋊S₃	3^rd semidirect product of Dic₁₈ and S₃ acting via S₃/C₃=C₂	72	4	Dic18:S3	432,283
D₁₂⋊D₉	3^rd semidirect product of D₁₂ and D₉ acting via D₉/C₉=C₂	72	4	D12:D9	432,286
D₆.D₁₈	1^st non-split extension by D₆ of D₁₈ acting via D₁₈/C₁₈=C₂	72	4	D6.D18	432,287
Dic₉.D₆	4^th non-split extension by Dic₉ of D₆ acting via D₆/S₃=C₂	72	4+	Dic9.D6	432,289
C₄×S₃×D₉	Direct product of C₄, S₃ and D₉	72	4	C4xS3xD9	432,290
S₃×D₃₆	Direct product of S₃ and D₃₆	72	4+	S3xD36	432,291
D₉×D₁₂	Direct product of D₉ and D₁₂	72	4+	D9xD12	432,292
C₃₆⋊D₆	2^nd semidirect product of C₃₆ and D₆ acting via D₆/C₃=C₂²	72	4	C36:D6	432,293
C₃⋊S₃⋊Dic₆	The semidirect product of C₃⋊S₃ and Dic₆ acting via Dic₆/C₄=S₃	72	12-	C3:S3:Dic6	432,294
C₁₂⋊S₃⋊S₃	3^rd semidirect product of C₁₂⋊S₃ and S₃ acting faithfully	72	12+	C12:S3:S3	432,295
C₁₂.₈₄S₃²	4^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃⋊S₃=C₂	72	6	C12.84S3^2	432,296
C₁₂.₉₁S₃²	11^st non-split extension by C₁₂ of S₃² acting via S₃²/C₃⋊S₃=C₂	72	6	C12.91S3^2	432,297
C₁₂.₈₅S₃²	5^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃⋊S₃=C₂	72	6-	C12.85S3^2	432,298
C₁₂.S₃²	23^rd non-split extension by C₁₂ of S₃² acting via S₃²/C₃²=C₂²	72	12-	C12.S3^2	432,299
D₁₈.₃D₆	3^rd non-split extension by D₁₈ of D₆ acting via D₆/S₃=C₂	72	4	D18.3D6	432,305
C₂×C₁₈.D₆	Direct product of C₂ and C₁₈.D₆	72		C2xC18.D6	432,306
C₂×C₃⋊D₃₆	Direct product of C₂ and C₃⋊D₃₆	72		C2xC3:D36	432,307
Dic₃.D₁₈	5^th non-split extension by Dic₃ of D₁₈ acting via D₁₈/D₉=C₂	72	4	Dic3.D18	432,309
D₁₈.₄D₆	4^th non-split extension by D₁₈ of D₆ acting via D₆/S₃=C₂	72	4-	D18.4D6	432,310
C₂×C₉⋊D₁₂	Direct product of C₂ and C₉⋊D₁₂	72		C2xC9:D12	432,312
S₃×C₉⋊D₄	Direct product of S₃ and C₉⋊D₄	72	4	S3xC9:D4	432,313
D₉×C₃⋊D₄	Direct product of D₉ and C₃⋊D₄	72	4	D9xC3:D4	432,314
C₂×C₆.S₃²	Direct product of C₂ and C₆.S₃²	72		C2xC6.S3^2	432,317
C₆².₈D₆	8^th non-split extension by C₆² of D₆ acting faithfully	72	12-	C6^2.8D6	432,318
C₆².₉D₆	9^th non-split extension by C₆² of D₆ acting faithfully	72	6	C6^2.9D6	432,319
C₂×He₃⋊₂D₄	Direct product of C₂ and He₃⋊₂D₄	72		C2xHe3:2D4	432,320
C₂×He₃⋊(C₂×C₄)	Direct product of C₂ and He₃⋊(C₂×C₄)	72		C2xHe3:(C2xC4)	432,321
C₂×He₃⋊₃D₄	Direct product of C₂ and He₃⋊₃D₄	72		C2xHe3:3D4	432,322
Q₈⋊C₉⋊₄C₆	3^rd semidirect product of Q₈⋊C₉ and C₆ acting via C₆/C₂=C₃	72	6	Q8:C9:4C6	432,338
C₄○D₄⋊He₃	The semidirect product of C₄○D₄ and He₃ acting via He₃/C₃²=C₃	72	6	C4oD4:He3	432,339
C₃×D₃₆⋊₅C₂	Direct product of C₃ and D₃₆⋊₅C₂	72	2	C3xD36:5C2	432,344
C₉×C₄○D₁₂	Direct product of C₉ and C₄○D₁₂	72	2	C9xC4oD12	432,347
C₂×C₄×C₃²⋊C₆	Direct product of C₂×C₄ and C₃²⋊C₆	72		C2xC4xC3^2:C6	432,349
C₂×He₃⋊₄D₄	Direct product of C₂ and He₃⋊₄D₄	72		C2xHe3:4D4	432,350
C₆².₃₆D₆	19^th non-split extension by C₆² of D₆ acting via D₆/C₂=S₃	72	6	C6^2.36D6	432,351
C₂×C₄×C₉⋊C₆	Direct product of C₂×C₄ and C₉⋊C₆	72		C2xC4xC9:C6	432,353
C₂×D₃₆⋊C₃	Direct product of C₂ and D₃₆⋊C₃	72		C2xD36:C3	432,354
D₃₆⋊₆C₆	2^nd semidirect product of D₃₆ and C₆ acting via C₆/C₂=C₃	72	6	D36:6C6	432,355
C₃×D₄×D₉	Direct product of C₃, D₄ and D₉	72	4	C3xD4xD9	432,356
C₃×D₄⋊₂D₉	Direct product of C₃ and D₄⋊₂D₉	72	4	C3xD4:2D9	432,357
S₃×D₄×C₉	Direct product of C₉, S₃ and D₄	72	4	S3xD4xC9	432,358
C₉×D₄⋊₂S₃	Direct product of C₉ and D₄⋊₂S₃	72	4	C9xD4:2S3	432,359
C₆².₁₃D₆	13^rd non-split extension by C₆² of D₆ acting faithfully	72	12-	C6^2.13D6	432,361
Dic₁₈⋊₂C₆	2^nd semidirect product of Dic₁₈ and C₆ acting faithfully	72	12-	Dic18:2C6	432,363
Q₈×C₃²⋊C₆	Direct product of Q₈ and C₃²⋊C₆	72	12-	Q8xC3^2:C6	432,368
(Q₈×He₃)⋊C₂	4^th semidirect product of Q₈×He₃ and C₂ acting faithfully	72	12+	(Q8xHe3):C2	432,369
Q₈×C₉⋊C₆	Direct product of Q₈ and C₉⋊C₆	72	12-	Q8xC9:C6	432,370
D₃₆⋊₃C₆	3^rd semidirect product of D₃₆ and C₆ acting faithfully	72	12+	D36:3C6	432,371
C₆×C₉⋊D₄	Direct product of C₆ and C₉⋊D₄	72		C6xC9:D4	432,374
C₁₈×C₃⋊D₄	Direct product of C₁₈ and C₃⋊D₄	72		C18xC3:D4	432,375
C₂×He₃⋊₆D₄	Direct product of C₂ and He₃⋊₆D₄	72		C2xHe3:6D4	432,377
C₂×Dic₉⋊C₆	Direct product of C₂ and Dic₉⋊C₆	72		C2xDic9:C6	432,379
C₂×C₄×He₃⋊C₂	Direct product of C₂×C₄ and He₃⋊C₂	72		C2xC4xHe3:C2	432,385
C₂×He₃⋊₅D₄	Direct product of C₂ and He₃⋊₅D₄	72		C2xHe3:5D4	432,386
C₆².₄₇D₆	30^th non-split extension by C₆² of D₆ acting via D₆/C₂=S₃	72	6	C6^2.47D6	432,387
C₆².₁₆D₆	16^th non-split extension by C₆² of D₆ acting faithfully	72	6	C6^2.16D6	432,391
Q₈×He₃⋊C₂	Direct product of Q₈ and He₃⋊C₂	72	6	Q8xHe3:C2	432,394
He₃⋊₅D₄⋊C₂	6^th semidirect product of He₃⋊₅D₄ and C₂ acting faithfully	72	6	He3:5D4:C2	432,395
C₂×He₃⋊₇D₄	Direct product of C₂ and He₃⋊₇D₄	72		C2xHe3:7D4	432,399
C₂×D₄×He₃	Direct product of C₂, D₄ and He₃	72		C2xD4xHe3	432,404
C₂×D₄×3_-¹⁺²	Direct product of C₂, D₄ and 3_-¹⁺²	72		C2xD4xES-(3,1)	432,405
C₄○D₄×He₃	Direct product of C₄○D₄ and He₃	72	6	C4oD4xHe3	432,410
C₄○D₄×3_-¹⁺²	Direct product of C₄○D₄ and 3_-¹⁺²	72	6	C4oD4xES-(3,1)	432,411
C₁₂.₆₉S₃²	26^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃×S₃=C₂	72		C12.69S3^2	432,432
C₃³⋊₉M₄(2)	5^th semidirect product of C₃³ and M₄(2) acting via M₄(2)/C₄=C₂²	72		C3^3:9M4(2)	432,435
C₃³⋊₇D₈	4^th semidirect product of C₃³ and D₈ acting via D₈/C₄=C₂²	72		C3^3:7D8	432,437
C₃³⋊₈D₈	5^th semidirect product of C₃³ and D₈ acting via D₈/C₄=C₂²	72		C3^3:8D8	432,438
C₃³⋊₁₅SD₁₆	7^th semidirect product of C₃³ and SD₁₆ acting via SD₁₆/C₄=C₂²	72		C3^3:15SD16	432,442
C₃³⋊₁₇SD₁₆	9^th semidirect product of C₃³ and SD₁₆ acting via SD₁₆/C₄=C₂²	72		C3^3:17SD16	432,444
C₆².₇₉D₆	27^th non-split extension by C₆² of D₆ acting via D₆/C₃=C₂²	72		C6^2.79D6	432,451
C₃²×C₄.Dic₃	Direct product of C₃² and C₄.Dic₃	72		C3^2xC4.Dic3	432,470
C₃²×D₄⋊S₃	Direct product of C₃² and D₄⋊S₃	72		C3^2xD4:S3	432,475
C₃²×D₄.S₃	Direct product of C₃² and D₄.S₃	72		C3^2xD4.S3	432,476
C₃²×C₆.D₄	Direct product of C₃² and C₆.D₄	72		C3^2xC6.D4	432,479
C₃×C₁₂.₅₈D₆	Direct product of C₃ and C₁₂.₅₈D₆	72		C3xC12.58D6	432,486
C₃×C₃²⋊₇D₈	Direct product of C₃ and C₃²⋊₇D₈	72		C3xC3^2:7D8	432,491
C₃×C₃²⋊₉SD₁₆	Direct product of C₃ and C₃²⋊₉SD₁₆	72		C3xC3^2:9SD16	432,492
C₃×C₆²⋊₅C₄	Direct product of C₃ and C₆²⋊₅C₄	72		C3xC6^2:5C4	432,495
C₂²×He₃⋊C₄	Direct product of C₂² and He₃⋊C₄	72		C2^2xHe3:C4	432,543
C₂²×S₃×D₉	Direct product of C₂², S₃ and D₉	72		C2^2xS3xD9	432,544
C₂³×C₃²⋊C₆	Direct product of C₂³ and C₃²⋊C₆	72		C2^3xC3^2:C6	432,558
C₂³×C₉⋊C₆	Direct product of C₂³ and C₉⋊C₆	72		C2^3xC9:C6	432,559
C₂³×He₃⋊C₂	Direct product of C₂³ and He₃⋊C₂	72		C2^3xHe3:C2	432,561
C₃²×GL₂(𝔽₃)	Direct product of C₃² and GL₂(𝔽₃)	72		C3^2xGL(2,3)	432,614
C₃²⋊₅GL₂(𝔽₃)	2^nd semidirect product of C₃² and GL₂(𝔽₃) acting via GL₂(𝔽₃)/SL₂(𝔽₃)=C₂	72		C3^2:5GL(2,3)	432,620
C₃⋊S₃×SL₂(𝔽₃)	Direct product of C₃⋊S₃ and SL₂(𝔽₃)	72		C3:S3xSL(2,3)	432,626
D₁₂⋊(C₃⋊S₃)	3^rd semidirect product of D₁₂ and C₃⋊S₃ acting via C₃⋊S₃/C₃²=C₂	72		D12:(C3:S3)	432,662
C₁₂.₃₉S₃²	39^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃²=C₂²	72		C12.39S3^2	432,664
C₁₂.₄₀S₃²	40^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃²=C₂²	72		C12.40S3^2	432,665
C₃²⋊₉(S₃×Q₈)	2^nd semidirect product of C₃² and S₃×Q₈ acting via S₃×Q₈/C₁₂=C₂²	72		C3^2:9(S3xQ8)	432,666
C₁₂.₇₃S₃²	30^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃×S₃=C₂	72		C12.73S3^2	432,667
C₁₂.₅₈S₃²	15^th non-split extension by C₁₂ of S₃² acting via S₃²/C₃×S₃=C₂	72		C12.58S3^2	432,669
C₄×S₃×C₃⋊S₃	Direct product of C₄, S₃ and C₃⋊S₃	72		C4xS3xC3:S3	432,670
S₃×C₁₂⋊S₃	Direct product of S₃ and C₁₂⋊S₃	72		S3xC12:S3	432,671
C₃⋊S₃×D₁₂	Direct product of C₃⋊S₃ and D₁₂	72		C3:S3xD12	432,672
C₁₂⋊S₃²	2^nd semidirect product of C₁₂ and S₃² acting via S₃²/C₃²=C₂²	72		C12:S3^2	432,673
C₆².₉₀D₆	38^th non-split extension by C₆² of D₆ acting via D₆/C₃=C₂²	72		C6^2.90D6	432,675
C₆².₉₁D₆	39^th non-split extension by C₆² of D₆ acting via D₆/C₃=C₂²	72		C6^2.91D6	432,676
C₆².₉₃D₆	41^st non-split extension by C₆² of D₆ acting via D₆/C₃=C₂²	72		C6^2.93D6	432,678
C₂×C₃³⋊₈(C₂×C₄)	Direct product of C₂ and C₃³⋊₈(C₂×C₄)	72		C2xC3^3:8(C2xC4)	432,679
C₂×C₃³⋊₇D₄	Direct product of C₂ and C₃³⋊₇D₄	72		C2xC3^3:7D4	432,681
C₂×C₃³⋊₈D₄	Direct product of C₂ and C₃³⋊₈D₄	72		C2xC3^3:8D4	432,682
S₃×C₃²⋊₇D₄	Direct product of S₃ and C₃²⋊₇D₄	72		S3xC3^2:7D4	432,684
C₃⋊S₃×C₃⋊D₄	Direct product of C₃⋊S₃ and C₃⋊D₄	72		C3:S3xC3:D4	432,685
C₃²×C₄○D₁₂	Direct product of C₃² and C₄○D₁₂	72		C3^2xC4oD12	432,703
S₃×D₄×C₃²	Direct product of C₃², S₃ and D₄	72		S3xD4xC3^2	432,704
C₃²×D₄⋊₂S₃	Direct product of C₃² and D₄⋊₂S₃	72		C3^2xD4:2S3	432,705
C₃×C₆×C₃⋊D₄	Direct product of C₃×C₆ and C₃⋊D₄	72		C3xC6xC3:D4	432,709
C₃×C₁₂.₅₉D₆	Direct product of C₃ and C₁₂.₅₉D₆	72		C3xC12.59D6	432,713
C₃×D₄×C₃⋊S₃	Direct product of C₃, D₄ and C₃⋊S₃	72		C3xD4xC3:S3	432,714
C₃×C₁₂.D₆	Direct product of C₃ and C₁₂.D₆	72		C3xC12.D6	432,715
C₆×C₃²⋊₇D₄	Direct product of C₆ and C₃²⋊₇D₄	72		C6xC3^2:7D4	432,719
C₂²×S₃×C₃⋊S₃	Direct product of C₂², S₃ and C₃⋊S₃	72		C2^2xS3xC3:S3	432,768

On 73 points

Groups of order 73

		d	ρ	Label	ID
C₇₃	Cyclic group	73	1	C73	73,1

Groups of order 146

		d	ρ	Label	ID
D₇₃	Dihedral group	73	2+	D73	146,1

Groups of order 219

		d	ρ	Label	ID
C₇₃⋊C₃	The semidirect product of C₇₃ and C₃ acting faithfully	73	3	C73:C3	219,1

Groups of order 292

		d	ρ	Label	ID
C₇₃⋊C₄	The semidirect product of C₇₃ and C₄ acting faithfully	73	4+	C73:C4	292,3

Groups of order 438

		d	ρ	Label	ID
C₇₃⋊C₆	The semidirect product of C₇₃ and C₆ acting faithfully	73	6+	C73:C6	438,1

On 74 points

Groups of order 74

		d	ρ	Label	ID
C₇₄	Cyclic group	74	1	C74	74,2

Groups of order 148

		d	ρ	Label	ID
D₇₄	Dihedral group; = C₂×D₃₇	74	2+	D74	148,4

Groups of order 222

		d	ρ	Label	ID
C₂×C₃₇⋊C₃	Direct product of C₂ and C₃₇⋊C₃	74	3	C2xC37:C3	222,2

Groups of order 296

		d	ρ	Label	ID
C₂×C₃₇⋊C₄	Direct product of C₂ and C₃₇⋊C₄	74	4+	C2xC37:C4	296,12

Groups of order 444

		d	ρ	Label	ID
C₂×C₃₇⋊C₆	Direct product of C₂ and C₃₇⋊C₆	74	6+	C2xC37:C6	444,8

On 75 points

Groups of order 75

		d	ρ	Label	ID
C₇₅	Cyclic group	75	1	C75	75,1
C₅×C₁₅	Abelian group of type [5,15]	75		C5xC15	75,3

Groups of order 150

		d	ρ	Label	ID
S₃×C₂₅	Direct product of C₂₅ and S₃	75	2	S3xC25	150,1
C₃×D₂₅	Direct product of C₃ and D₂₅	75	2	C3xD25	150,2
D₇₅	Dihedral group	75	2+	D75	150,3
C₃×C₅⋊D₅	Direct product of C₃ and C₅⋊D₅	75		C3xC5:D5	150,9
S₃×C₅²	Direct product of C₅² and S₃	75		S3xC5^2	150,10
C₅⋊D₁₅	The semidirect product of C₅ and D₁₅ acting via D₁₅/C₁₅=C₂	75		C5:D15	150,12

Groups of order 300

		d	ρ	Label	ID
C₃×C₂₅⋊C₄	Direct product of C₃ and C₂₅⋊C₄	75	4	C3xC25:C4	300,5
C₇₅⋊C₄	1^st semidirect product of C₇₅ and C₄ acting faithfully	75	4	C75:C4	300,6
S₃×D₂₅	Direct product of S₃ and D₂₅	75	4+	S3xD25	300,7
C₃×C₅⋊F₅	Direct product of C₃ and C₅⋊F₅	75		C3xC5:F5	300,30
C₁₅⋊F₅	1^st semidirect product of C₁₅ and F₅ acting via F₅/C₅=C₄	75		C15:F5	300,34
S₃×C₅⋊D₅	Direct product of S₃ and C₅⋊D₅	75		S3xC5:D5	300,38

Groups of order 375

		d	ρ	Label	ID
He₅⋊C₃	The semidirect product of He₅ and C₃ acting faithfully	75	5	He5:C3	375,2
C₃×He₅	Direct product of C₃ and He₅	75	5	C3xHe5	375,4
C₃×5_-¹⁺²	Direct product of C₃ and 5_-¹⁺²	75	5	C3xES-(5,1)	375,5

On 76 points

Groups of order 76

		d	ρ	Label	ID
Dic₁₉	Dicyclic group; = C₁₉ ⋊C₄	76	2-	Dic19	76,1
C₇₆	Cyclic group	76	1	C76	76,2
C₂×C₃₈	Abelian group of type [2,38]	76		C2xC38	76,4

Groups of order 152

		d	ρ	Label	ID
C₄×D₁₉	Direct product of C₄ and D₁₉	76	2	C4xD19	152,4
D₇₆	Dihedral group	76	2+	D76	152,5
C₁₉⋊D₄	The semidirect product of C₁₉ and D₄ acting via D₄/C₂²=C₂	76	2	C19:D4	152,7
D₄×C₁₉	Direct product of C₁₉ and D₄	76	2	D4xC19	152,9
C₂²×D₁₉	Direct product of C₂² and D₁₉	76		C2^2xD19	152,11

Groups of order 228

		d	ρ	Label	ID
C₁₉⋊C₁₂	The semidirect product of C₁₉ and C₁₂ acting via C₁₂/C₂=C₆	76	6-	C19:C12	228,1
C₄×C₁₉⋊C₃	Direct product of C₄ and C₁₉⋊C₃	76	3	C4xC19:C3	228,2
C₂²×C₁₉⋊C₃	Direct product of C₂² and C₁₉⋊C₃	76		C2^2xC19:C3	228,9
A₄×C₁₉	Direct product of C₁₉ and A₄	76	3	A4xC19	228,10
C₁₉⋊A₄	The semidirect product of C₁₉ and A₄ acting via A₄/C₂²=C₃	76	3	C19:A4	228,11

Groups of order 304

		d	ρ	Label	ID
D₄×D₁₉	Direct product of D₄ and D₁₉	76	4+	D4xD19	304,31

Groups of order 456

		d	ρ	Label	ID
C₄×C₁₉⋊C₆	Direct product of C₄ and C₁₉⋊C₆	76	6	C4xC19:C6	456,8
D₇₆⋊C₃	The semidirect product of D₇₆ and C₃ acting faithfully	76	6+	D76:C3	456,9
D₃₈⋊C₆	2^nd semidirect product of D₃₈ and C₆ acting faithfully	76	6	D38:C6	456,11
D₄×C₁₉⋊C₃	Direct product of D₄ and C₁₉⋊C₃	76	6	D4xC19:C3	456,20
C₁₉×S₄	Direct product of C₁₉ and S₄	76	3	C19xS4	456,42
C₁₉⋊S₄	The semidirect product of C₁₉ and S₄ acting via S₄/A₄=C₂	76	6+	C19:S4	456,43
C₂²×C₁₉⋊C₆	Direct product of C₂² and C₁₉⋊C₆	76		C2^2xC19:C6	456,44
A₄×D₁₉	Direct product of A₄ and D₁₉	76	6+	A4xD19	456,45
D₁₉⋊A₄	The semidirect product of D₁₉ and A₄ acting via A₄/C₂²=C₃	76	6+	D19:A4	456,46

On 77 points

Groups of order 77

		d	ρ	Label	ID
C₇₇	Cyclic group	77	1	C77	77,1

Groups of order 154

		d	ρ	Label	ID
C₁₁×D₇	Direct product of C₁₁ and D₇	77	2	C11xD7	154,1
C₇×D₁₁	Direct product of C₇ and D₁₁	77	2	C7xD11	154,2
D₇₇	Dihedral group	77	2+	D77	154,3

Groups of order 231

		d	ρ	Label	ID
C₁₁×C₇⋊C₃	Direct product of C₁₁ and C₇⋊C₃	77	3	C11xC7:C3	231,1

Groups of order 308

		d	ρ	Label	ID
D₇×D₁₁	Direct product of D₇ and D₁₁	77	4+	D7xD11	308,5

Groups of order 385

		d	ρ	Label	ID
C₇×C₁₁⋊C₅	Direct product of C₇ and C₁₁⋊C₅	77	5	C7xC11:C5	385,1

Groups of order 462

		d	ρ	Label	ID
C₇⋊C₃×D₁₁	Direct product of C₇⋊C₃ and D₁₁	77	6	C7:C3xD11	462,1
C₁₁×F₇	Direct product of C₁₁ and F₇	77	6	C11xF7	462,2
C₁₁⋊F₇	The semidirect product of C₁₁ and F₇ acting via F₇/C₇⋊C₃=C₂	77	6+	C11:F7	462,3

On 78 points

Groups of order 78

		d	ρ	Label	ID
C₇₈	Cyclic group	78	1	C78	78,6

Groups of order 156

		d	ρ	Label	ID
C₆×D₁₃	Direct product of C₆ and D₁₃	78	2	C6xD13	156,15
S₃×C₂₆	Direct product of C₂₆ and S₃	78	2	S3xC26	156,16
D₇₈	Dihedral group; = C₂×D₃₉	78	2+	D78	156,17

Groups of order 234

		d	ρ	Label	ID
C₆×C₁₃⋊C₃	Direct product of C₆ and C₁₃⋊C₃	78	3	C6xC13:C3	234,10
S₃×C₃₉	Direct product of C₃₉ and S₃	78	2	S3xC39	234,12
C₃×D₃₉	Direct product of C₃ and D₃₉	78	2	C3xD39	234,13

Groups of order 312

		d	ρ	Label	ID
C₆×C₁₃⋊C₄	Direct product of C₆ and C₁₃⋊C₄	78	4	C6xC13:C4	312,52
C₂×C₃₉⋊C₄	Direct product of C₂ and C₃₉⋊C₄	78	4	C2xC39:C4	312,53
C₂×S₃×D₁₃	Direct product of C₂, S₃ and D₁₃	78	4+	C2xS3xD13	312,54
A₄×C₂₆	Direct product of C₂₆ and A₄	78	3	A4xC26	312,56
C₂×C₁₃⋊A₄	Direct product of C₂ and C₁₃⋊A₄	78	3	C2xC13:A4	312,57

Groups of order 468

		d	ρ	Label	ID
C₆×C₁₃⋊C₆	Direct product of C₆ and C₁₃⋊C₆	78	6	C6xC13:C6	468,33
C₂×S₃×C₁₃⋊C₃	Direct product of C₂, S₃ and C₁₃⋊C₃	78	6	C2xS3xC13:C3	468,34
C₂×D₃₉⋊C₃	Direct product of C₂ and D₃₉⋊C₃	78	6+	C2xD39:C3	468,35
C₃×C₃₉⋊C₄	Direct product of C₃ and C₃₉⋊C₄	78	4	C3xC39:C4	468,37
C₁₃×C₃²⋊C₄	Direct product of C₁₃ and C₃²⋊C₄	78	4	C13xC3^2:C4	468,39
C₃²⋊Dic₁₃	The semidirect product of C₃² and Dic₁₃ acting via Dic₁₃/C₁₃=C₄	78	4	C3^2:Dic13	468,40
(C₃×C₃₉)⋊C₄	1^st semidirect product of C₃×C₃₉ and C₄ acting faithfully	78	4+	(C3xC39):C4	468,41
C₃×S₃×D₁₃	Direct product of C₃, S₃ and D₁₃	78	4	C3xS3xD13	468,42
S₃²×C₁₃	Direct product of C₁₃, S₃ and S₃	78	4	S3^2xC13	468,44
S₃×D₃₉	Direct product of S₃ and D₃₉	78	4+	S3xD39	468,45
D₃₉⋊S₃	The semidirect product of D₃₉ and S₃ acting via S₃/C₃=C₂	78	4	D39:S3	468,46

On 79 points

Groups of order 79

		d	ρ	Label	ID
C₇₉	Cyclic group	79	1	C79	79,1

Groups of order 158

		d	ρ	Label	ID
D₇₉	Dihedral group	79	2+	D79	158,1

Groups of order 237

		d	ρ	Label	ID
C₇₉⋊C₃	The semidirect product of C₇₉ and C₃ acting faithfully	79	3	C79:C3	237,1

Groups of order 474

		d	ρ	Label	ID
C₇₉⋊C₆	The semidirect product of C₇₉ and C₆ acting faithfully	79	6+	C79:C6	474,1

On 80 points

Groups of order 80

		d	ρ	Label	ID
C₅⋊₂C₁₆	The semidirect product of C₅ and C₁₆ acting via C₁₆/C₈=C₂	80	2	C5:2C16	80,1
C₈₀	Cyclic group	80	1	C80	80,2
C₅⋊C₁₆	The semidirect product of C₅ and C₁₆ acting via C₁₆/C₄=C₄	80	4	C5:C16	80,3
Dic₂₀	Dicyclic group; = C₅ ⋊₁ Q₁₆	80	2-	Dic20	80,8
C₂×C₅⋊₂C₈	Direct product of C₂ and C₅⋊₂C₈	80		C2xC5:2C8	80,9
C₄×Dic₅	Direct product of C₄ and Dic₅	80		C4xDic5	80,11
C₁₀.D₄	1^st non-split extension by C₁₀ of D₄ acting via D₄/C₂²=C₂	80		C10.D4	80,12
C₄⋊Dic₅	The semidirect product of C₄ and Dic₅ acting via Dic₅/C₁₀=C₂	80		C4:Dic5	80,13
C₅⋊Q₁₆	The semidirect product of C₅ and Q₁₆ acting via Q₁₆/Q₈=C₂	80	4-	C5:Q16	80,18
C₄×C₂₀	Abelian group of type [4,20]	80		C4xC20	80,20
C₅×C₄⋊C₄	Direct product of C₅ and C₄⋊C₄	80		C5xC4:C4	80,22
C₂×C₄₀	Abelian group of type [2,40]	80		C2xC40	80,23
C₅×Q₁₆	Direct product of C₅ and Q₁₆	80	2	C5xQ16	80,27
C₂×C₅⋊C₈	Direct product of C₂ and C₅⋊C₈	80		C2xC5:C8	80,32
C₂×Dic₁₀	Direct product of C₂ and Dic₁₀	80		C2xDic10	80,35
C₂²×Dic₅	Direct product of C₂² and Dic₅	80		C2^2xDic5	80,43
C₂²×C₂₀	Abelian group of type [2,2,20]	80		C2^2xC20	80,45
Q₈×C₁₀	Direct product of C₁₀ and Q₈	80		Q8xC10	80,47
C₂³×C₁₀	Abelian group of type [2,2,2,10]	80		C2^3xC10	80,52

Groups of order 160

		d	ρ	Label	ID
D₅×C₁₆	Direct product of C₁₆ and D₅	80	2	D5xC16	160,4
C₈₀⋊C₂	5^th semidirect product of C₈₀ and C₂ acting faithfully	80	2	C80:C2	160,5
D₈₀	Dihedral group	80	2+	D80	160,6
C₁₆⋊D₅	2^nd semidirect product of C₁₆ and D₅ acting via D₅/C₅=C₂	80	2	C16:D5	160,7
D₂₀⋊₆C₄	3^rd semidirect product of D₂₀ and C₄ acting via C₄/C₂=C₂	80		D20:6C4	160,16
C₂₀.₄C₈	1^st non-split extension by C₂₀ of C₈ acting via C₈/C₄=C₂	80	2	C20.4C8	160,19
C₄₀.₆C₄	1^st non-split extension by C₄₀ of C₄ acting via C₄/C₂=C₂	80	2	C40.6C4	160,26
D₁₀⋊₁C₈	1^st semidirect product of D₁₀ and C₈ acting via C₈/C₄=C₂	80		D10:1C8	160,27
D₂₀⋊₅C₄	2^nd semidirect product of D₂₀ and C₄ acting via C₄/C₂=C₂	80		D20:5C4	160,28
C₂₀.₅₃D₄	10^th non-split extension by C₂₀ of D₄ acting via D₄/C₂²=C₂	80	4	C20.53D4	160,29
C₄.₁₂D₂₀	4^th non-split extension by C₄ of D₂₀ acting via D₂₀/D₁₀=C₂	80	4-	C4.12D20	160,31
C₅⋊D₁₆	The semidirect product of C₅ and D₁₆ acting via D₁₆/D₈=C₂	80	4+	C5:D16	160,33
D₈.D₅	The non-split extension by D₈ of D₅ acting via D₅/C₅=C₂	80	4-	D8.D5	160,34
C₅⋊SD₃₂	The semidirect product of C₅ and SD₃₂ acting via SD₃₂/Q₁₆=C₂	80	4+	C5:SD32	160,35
C₂₀.₅₅D₄	12^nd non-split extension by C₂₀ of D₄ acting via D₄/C₂²=C₂	80		C20.55D4	160,37
D₄⋊Dic₅	1^st semidirect product of D₄ and Dic₅ acting via Dic₅/C₁₀=C₂	80		D4:Dic5	160,39
C₂₀.₁₀D₄	10^th non-split extension by C₂₀ of D₄ acting via D₄/C₂=C₂²	80	4	C20.10D4	160,43
C₅×C₂²⋊C₈	Direct product of C₅ and C₂²⋊C₈	80		C5xC2^2:C8	160,48
C₅×C₄.₁₀D₄	Direct product of C₅ and C₄.₁₀D₄	80	4	C5xC4.10D4	160,51
C₅×D₄⋊C₄	Direct product of C₅ and D₄⋊C₄	80		C5xD4:C4	160,52
C₅×C₈.C₄	Direct product of C₅ and C₈.C₄	80	2	C5xC8.C4	160,58
C₅×M₅(2)	Direct product of C₅ and M₅(2)	80	2	C5xM5(2)	160,60
C₅×D₁₆	Direct product of C₅ and D₁₆	80	2	C5xD16	160,61
C₅×SD₃₂	Direct product of C₅ and SD₃₂	80	2	C5xSD32	160,62
D₅⋊C₁₆	The semidirect product of D₅ and C₁₆ acting via C₁₆/C₈=C₂	80	4	D5:C16	160,64
C₈.F₅	3^rd non-split extension by C₈ of F₅ acting via F₅/D₅=C₂	80	4	C8.F5	160,65
C₄₀.C₄	2^nd non-split extension by C₄₀ of C₄ acting faithfully	80	4	C40.C4	160,70
D₁₀.Q₈	2^nd non-split extension by D₁₀ of Q₈ acting via Q₈/C₄=C₂	80	4	D10.Q8	160,71
C₂₀.C₈	1^st non-split extension by C₂₀ of C₈ acting via C₈/C₂=C₄	80	4	C20.C8	160,73
D₁₀⋊C₈	2^nd semidirect product of D₁₀ and C₈ acting via C₈/C₄=C₂	80		D10:C8	160,78
Dic₅.D₄	1^st non-split extension by Dic₅ of D₄ acting via D₄/C₂=C₂²	80	4-	Dic5.D4	160,80
C₂³.₂F₅	1^st non-split extension by C₂³ of F₅ acting via F₅/D₅=C₂	80		C2^3.2F5	160,87
D₅×C₄²	Direct product of C₄² and D₅	80		D5xC4^2	160,92
C₄²⋊D₅	1^st semidirect product of C₄² and D₅ acting via D₅/C₅=C₂	80		C4^2:D5	160,93
C₄×D₂₀	Direct product of C₄ and D₂₀	80		C4xD20	160,94
C₂₀⋊₄D₄	1^st semidirect product of C₂₀ and D₄ acting via D₄/C₄=C₂	80		C20:4D4	160,95
C₄.D₂₀	5^th non-split extension by C₄ of D₂₀ acting via D₂₀/C₂₀=C₂	80		C4.D20	160,96
C₄²⋊₂D₅	2^nd semidirect product of C₄² and D₅ acting via D₅/C₅=C₂	80		C4^2:2D5	160,97
C₂³.₁₁D₁₀	1^st non-split extension by C₂³ of D₁₀ acting via D₁₀/D₅=C₂	80		C2^3.11D10	160,98
Dic₅.₁₄D₄	1^st non-split extension by Dic₅ of D₄ acting via D₄/C₂²=C₂	80		Dic5.14D4	160,99
C₂³.D₁₀	3^rd non-split extension by C₂³ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^3.D10	160,100
Dic₅⋊₄D₄	1^st semidirect product of Dic₅ and D₄ acting through Inn(Dic₅)	80		Dic5:4D4	160,102
D₁₀.₁₂D₄	1^st non-split extension by D₁₀ of D₄ acting via D₄/C₂²=C₂	80		D10.12D4	160,104
D₁₀⋊D₄	1^st semidirect product of D₁₀ and D₄ acting via D₄/C₄=C₂	80		D10:D4	160,105
Dic₅.₅D₄	1^st non-split extension by Dic₅ of D₄ acting via D₄/C₄=C₂	80		Dic5.5D4	160,106
C₂².D₂₀	3^rd non-split extension by C₂² of D₂₀ acting via D₂₀/D₁₀=C₂	80		C2^2.D20	160,107
D₅×C₄⋊C₄	Direct product of D₅ and C₄⋊C₄	80		D5xC4:C4	160,112
C₄⋊C₄⋊₇D₅	1^st semidirect product of C₄⋊C₄ and D₅ acting through Inn(C₄⋊C₄)	80		C4:C4:7D5	160,113
D₂₀⋊₈C₄	5^th semidirect product of D₂₀ and C₄ acting via C₄/C₂=C₂	80		D20:8C4	160,114
D₁₀.₁₃D₄	2^nd non-split extension by D₁₀ of D₄ acting via D₄/C₂²=C₂	80		D10.13D4	160,115
C₄⋊D₂₀	The semidirect product of C₄ and D₂₀ acting via D₂₀/D₁₀=C₂	80		C4:D20	160,116
D₁₀⋊Q₈	1^st semidirect product of D₁₀ and Q₈ acting via Q₈/C₄=C₂	80		D10:Q8	160,117
D₁₀⋊₂Q₈	2^nd semidirect product of D₁₀ and Q₈ acting via Q₈/C₄=C₂	80		D10:2Q8	160,118
C₄⋊C₄⋊D₅	6^th semidirect product of C₄⋊C₄ and D₅ acting via D₅/C₅=C₂	80		C4:C4:D5	160,119
D₅×C₂×C₈	Direct product of C₂×C₈ and D₅	80		D5xC2xC8	160,120
C₂×C₈⋊D₅	Direct product of C₂ and C₈⋊D₅	80		C2xC8:D5	160,121
D₂₀.₃C₄	The non-split extension by D₂₀ of C₄ acting through Inn(D₂₀)	80	2	D20.3C4	160,122
C₂×C₄₀⋊C₂	Direct product of C₂ and C₄₀⋊C₂	80		C2xC40:C2	160,123
C₂×D₄₀	Direct product of C₂ and D₄₀	80		C2xD40	160,124
D₄₀⋊₇C₂	The semidirect product of D₄₀ and C₂ acting through Inn(D₄₀)	80	2	D40:7C2	160,125
D₂₀.₂C₄	The non-split extension by D₂₀ of C₄ acting via C₄/C₂=C₂	80	4	D20.2C4	160,128
C₈.D₁₀	1^st non-split extension by C₈ of D₁₀ acting via D₁₀/C₅=C₂²	80	4-	C8.D10	160,130
D₈⋊₃D₅	The semidirect product of D₈ and D₅ acting through Inn(D₈)	80	4-	D8:3D5	160,133
SD₁₆⋊D₅	2^nd semidirect product of SD₁₆ and D₅ acting via D₅/C₅=C₂	80	4-	SD16:D5	160,136
SD₁₆⋊₃D₅	The semidirect product of SD₁₆ and D₅ acting through Inn(SD₁₆)	80	4	SD16:3D5	160,137
D₅×Q₁₆	Direct product of D₅ and Q₁₆	80	4-	D5xQ16	160,138
Q₁₆⋊D₅	2^nd semidirect product of Q₁₆ and D₅ acting via D₅/C₅=C₂	80	4	Q16:D5	160,139
Q₈.D₁₀	5^th non-split extension by Q₈ of D₁₀ acting via D₁₀/D₅=C₂	80	4+	Q8.D10	160,140
C₂×C₄.Dic₅	Direct product of C₂ and C₄.Dic₅	80		C2xC4.Dic5	160,142
C₂₀.₄₈D₄	5^th non-split extension by C₂₀ of D₄ acting via D₄/C₂²=C₂	80		C20.48D4	160,145
C₂³.₂₁D₁₀	2^nd non-split extension by C₂³ of D₁₀ acting via D₁₀/C₁₀=C₂	80		C2^3.21D10	160,147
C₂×D₁₀⋊C₄	Direct product of C₂ and D₁₀⋊C₄	80		C2xD10:C4	160,148
C₄×C₅⋊D₄	Direct product of C₄ and C₅⋊D₄	80		C4xC5:D4	160,149
C₂³.₂₃D₁₀	4^th non-split extension by C₂³ of D₁₀ acting via D₁₀/C₁₀=C₂	80		C2^3.23D10	160,150
C₂₀⋊₇D₄	1^st semidirect product of C₂₀ and D₄ acting via D₄/C₂²=C₂	80		C20:7D4	160,151
C₂×D₄⋊D₅	Direct product of C₂ and D₄⋊D₅	80		C2xD4:D5	160,152
C₂×D₄.D₅	Direct product of C₂ and D₄.D₅	80		C2xD4.D5	160,154
D₄×Dic₅	Direct product of D₄ and Dic₅	80		D4xDic5	160,155
C₂³.₁₈D₁₀	8^th non-split extension by C₂³ of D₁₀ acting via D₁₀/D₅=C₂	80		C2^3.18D10	160,156
C₂₀.₁₇D₄	17^th non-split extension by C₂₀ of D₄ acting via D₄/C₂=C₂²	80		C20.17D4	160,157
C₂₀⋊₂D₄	2^nd semidirect product of C₂₀ and D₄ acting via D₄/C₂=C₂²	80		C20:2D4	160,159
Dic₅⋊D₄	2^nd semidirect product of Dic₅ and D₄ acting via D₄/C₂²=C₂	80		Dic5:D4	160,160
C₂₀⋊D₄	3^rd semidirect product of C₂₀ and D₄ acting via D₄/C₂=C₂²	80		C20:D4	160,161
C₂×Q₈⋊D₅	Direct product of C₂ and Q₈⋊D₅	80		C2xQ8:D5	160,162
C₂₀.C₂³	15^th non-split extension by C₂₀ of C₂³ acting via C₂³/C₂=C₂²	80	4	C20.C2^3	160,163
D₁₀⋊₃Q₈	3^rd semidirect product of D₁₀ and Q₈ acting via Q₈/C₄=C₂	80		D10:3Q8	160,167
C₂₀.₂₃D₄	23^rd non-split extension by C₂₀ of D₄ acting via D₄/C₂=C₂²	80		C20.23D4	160,168
D₄.Dic₅	The non-split extension by D₄ of Dic₅ acting through Inn(D₄)	80	4	D4.Dic5	160,169
D₄.₈D₁₀	3^rd non-split extension by D₄ of D₁₀ acting via D₁₀/C₁₀=C₂	80	4	D4.8D10	160,171
D₄.₉D₁₀	4^th non-split extension by D₄ of D₁₀ acting via D₁₀/C₁₀=C₂	80	4-	D4.9D10	160,172
C₂×C₂³.D₅	Direct product of C₂ and C₂³.D₅	80		C2xC2^3.D5	160,173
C₁₀×C₂²⋊C₄	Direct product of C₁₀ and C₂²⋊C₄	80		C10xC2^2:C4	160,176
C₅×C₄²⋊C₂	Direct product of C₅ and C₄²⋊C₂	80		C5xC4^2:C2	160,178
D₄×C₂₀	Direct product of C₂₀ and D₄	80		D4xC20	160,179
C₅×C₄⋊D₄	Direct product of C₅ and C₄⋊D₄	80		C5xC4:D4	160,182
C₅×C₂²⋊Q₈	Direct product of C₅ and C₂²⋊Q₈	80		C5xC2^2:Q8	160,183
C₅×C₂².D₄	Direct product of C₅ and C₂².D₄	80		C5xC2^2.D4	160,184
C₅×C₄.₄D₄	Direct product of C₅ and C₄.₄D₄	80		C5xC4.4D4	160,185
C₅×C₄²⋊₂C₂	Direct product of C₅ and C₄²⋊₂C₂	80		C5xC4^2:2C2	160,187
C₅×C₄⋊₁D₄	Direct product of C₅ and C₄⋊₁D₄	80		C5xC4:1D4	160,188
C₁₀×M₄(2)	Direct product of C₁₀ and M₄(2)	80		C10xM4(2)	160,191
C₅×C₈○D₄	Direct product of C₅ and C₈○D₄	80	2	C5xC8oD4	160,192
C₁₀×D₈	Direct product of C₁₀ and D₈	80		C10xD8	160,193
C₁₀×SD₁₆	Direct product of C₁₀ and SD₁₆	80		C10xSD16	160,194
C₅×C₄○D₈	Direct product of C₅ and C₄○D₈	80	2	C5xC4oD8	160,196
C₅×C₈.C₂²	Direct product of C₅ and C₈.C₂²	80	4	C5xC8.C2^2	160,198
C₂×D₅⋊C₈	Direct product of C₂ and D₅⋊C₈	80		C2xD5:C8	160,200
C₂×C₄.F₅	Direct product of C₂ and C₄.F₅	80		C2xC4.F5	160,201
D₄.F₅	The non-split extension by D₄ of F₅ acting through Inn(D₄)	80	8-	D4.F5	160,206
Q₈.F₅	The non-split extension by Q₈ of F₅ acting through Inn(Q₈)	80	8+	Q8.F5	160,208
C₂×C₂².F₅	Direct product of C₂ and C₂².F₅	80		C2xC2^2.F5	160,211
D₅×C₂²×C₄	Direct product of C₂²×C₄ and D₅	80		D5xC2^2xC4	160,214
C₂²×D₂₀	Direct product of C₂² and D₂₀	80		C2^2xD20	160,215
C₂×C₄○D₂₀	Direct product of C₂ and C₄○D₂₀	80		C2xC4oD20	160,216
C₂×D₄⋊₂D₅	Direct product of C₂ and D₄⋊₂D₅	80		C2xD4:2D5	160,218
C₂×Q₈×D₅	Direct product of C₂, Q₈ and D₅	80		C2xQ8xD5	160,220
C₂×Q₈⋊₂D₅	Direct product of C₂ and Q₈⋊₂D₅	80		C2xQ8:2D5	160,221
Q₈.₁₀D₁₀	1^st non-split extension by Q₈ of D₁₀ acting through Inn(Q₈)	80	4	Q8.10D10	160,222
D₄.₁₀D₁₀	The non-split extension by D₄ of D₁₀ acting through Inn(D₄)	80	4-	D4.10D10	160,225
C₂²×C₅⋊D₄	Direct product of C₂² and C₅⋊D₄	80		C2^2xC5:D4	160,227
D₄×C₂×C₁₀	Direct product of C₂×C₁₀ and D₄	80		D4xC2xC10	160,229
C₁₀×C₄○D₄	Direct product of C₁₀ and C₄○D₄	80		C10xC4oD4	160,231
C₅×2_-¹⁺⁴	Direct product of C₅ and 2_-¹⁺⁴	80	4	C5xES-(2,2)	160,233
D₅×C₂⁴	Direct product of C₂⁴ and D₅	80		D5xC2^4	160,237

Groups of order 240

		d	ρ	Label	ID
C₅×CSU₂(𝔽₃)	Direct product of C₅ and CSU₂(𝔽₃)	80	2	C5xCSU(2,3)	240,102
Q₈.D₁₅	The non-split extension by Q₈ of D₁₅ acting via D₁₅/C₅=S₃	80	4-	Q8.D15	240,105
Dic₅.A₄	The non-split extension by Dic₅ of A₄ acting through Inn(Dic₅)	80	4+	Dic5.A4	240,108
C₁₀×SL₂(𝔽₃)	Direct product of C₁₀ and SL₂(𝔽₃)	80		C10xSL(2,3)	240,153
C₅×C₄.A₄	Direct product of C₅ and C₄.A₄	80	2	C5xC4.A4	240,154

Groups of order 320

		d	ρ	Label	ID
(C₂×D₂₀)⋊C₄	1^st semidirect product of C₂×D₂₀ and C₄ acting faithfully	80		(C2xD20):C4	320,9
C₄⋊Dic₅⋊C₄	2^nd semidirect product of C₄⋊Dic₅ and C₄ acting faithfully	80		C4:Dic5:C4	320,10
C₄₀.₇C₈	1^st non-split extension by C₄₀ of C₈ acting via C₈/C₄=C₂	80	2	C40.7C8	320,21
C₂₀.₄₅C₄²	8^th non-split extension by C₂₀ of C₄² acting via C₄²/C₂×C₄=C₂	80	4	C20.45C4^2	320,24
C₂³.₃₀D₂₀	1^st non-split extension by C₂³ of D₂₀ acting via D₂₀/D₁₀=C₂	80		C2^3.30D20	320,25
C₅⋊₃(C₂³⋊C₈)	The semidirect product of C₅ and C₂³⋊C₈ acting via C₂³⋊C₈/C₂²⋊C₈=C₂	80		C5:3(C2^3:C8)	320,26
C₂².₂D₄₀	1^st non-split extension by C₂² of D₄₀ acting via D₄₀/D₂₀=C₂	80		C2^2.2D40	320,28
(C₂×C₂₀).D₄	2^nd non-split extension by C₂×C₂₀ of D₄ acting faithfully	80	8-	(C2xC20).D4	320,30
C₂³.D₂₀	1^st non-split extension by C₂³ of D₂₀ acting via D₂₀/C₅=D₄	80	8-	C2^3.D20	320,31
C₂³.₄D₂₀	4^th non-split extension by C₂³ of D₂₀ acting via D₂₀/C₅=D₄	80	8-	C2^3.4D20	320,34
(C₂×C₄).D₂₀	3^rd non-split extension by C₂×C₄ of D₂₀ acting via D₂₀/C₅=D₄	80	8+	(C2xC4).D20	320,35
(C₂×Q₈).D₁₀	2^nd non-split extension by C₂×Q₈ of D₁₀ acting via D₁₀/C₅=C₂²	80	8-	(C2xQ8).D10	320,36
C₈.Dic₁₀	1^st non-split extension by C₈ of Dic₁₀ acting via Dic₁₀/C₁₀=C₂²	80	4	C8.Dic10	320,45
D₄₀⋊₁₄C₄	8^th semidirect product of D₄₀ and C₄ acting via C₄/C₂=C₂	80	4	D40:14C4	320,46
C₄₀.₆Q₈	6^th non-split extension by C₄₀ of Q₈ acting via Q₈/C₂=C₂²	80	4	C40.6Q8	320,52
D₄₀.₆C₄	4^th non-split extension by D₄₀ of C₄ acting via C₄/C₂=C₂	80	4+	D40.6C4	320,53
C₄₀.₉Q₈	9^th non-split extension by C₄₀ of Q₈ acting via Q₈/C₂=C₂²	80	4	C40.9Q8	320,69
C₈₀⋊C₄	6^th semidirect product of C₈₀ and C₄ acting faithfully	80	4	C80:C4	320,70
C₄₀.Q₈	1^st non-split extension by C₄₀ of Q₈ acting via Q₈/C₂=C₂²	80	4	C40.Q8	320,71
C₈.₂₅D₂₀	11^st non-split extension by C₈ of D₂₀ acting via D₂₀/D₁₀=C₂	80	4	C8.25D20	320,72
D₄₀.₄C₄	2^nd non-split extension by D₄₀ of C₄ acting via C₄/C₂=C₂	80	4+	D40.4C4	320,74
D₄₀⋊₈C₄	2^nd semidirect product of D₄₀ and C₄ acting via C₄/C₂=C₂	80	4	D40:8C4	320,76
C₄²⋊₆Dic₅	3^rd semidirect product of C₄² and Dic₅ acting via Dic₅/C₁₀=C₂	80		C4^2:6Dic5	320,81
C₂⁴.Dic₅	1^st non-split extension by C₂⁴ of Dic₅ acting via Dic₅/C₅=C₄	80		C2^4.Dic5	320,83
C₂⁴.D₁₀	1^st non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.D10	320,84
C₂⁴.₂D₁₀	2^nd non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.2D10	320,85
C₄²⋊₁Dic₅	1^st semidirect product of C₄² and Dic₅ acting via Dic₅/C₅=C₄	80	4	C4^2:1Dic5	320,89
C₂₀.₃₂C₄²	2^nd non-split extension by C₂₀ of C₄² acting via C₄²/C₂²=C₂²	80		C20.32C4^2	320,90
C₂₀.₆₀(C₄⋊C₄)	7^th non-split extension by C₂₀ of C₄⋊C₄ acting via C₄⋊C₄/C₂×C₄=C₂	80	4	C20.60(C4:C4)	320,91
C₄⋊C₄⋊Dic₅	1^st semidirect product of C₄⋊C₄ and Dic₅ acting via Dic₅/C₅=C₄	80		C4:C4:Dic5	320,95
C₁₀.₂₉C₄≀C₂	5^th non-split extension by C₁₀ of C₄≀C₂ acting via C₄≀C₂/C₄○D₄=C₂	80		C10.29C4wrC2	320,96
(C₂²×C₂₀)⋊C₄	2^nd semidirect product of C₂²×C₂₀ and C₄ acting faithfully	80	4	(C2^2xC20):C4	320,97
C₄²⋊Dic₅	2^nd semidirect product of C₄² and Dic₅ acting via Dic₅/C₅=C₄	80	4	C4^2:Dic5	320,99
C₄².Dic₅	2^nd non-split extension by C₄² of Dic₅ acting via Dic₅/C₅=C₄	80	4	C4^2.Dic5	320,100
C₄².₃Dic₅	3^rd non-split extension by C₄² of Dic₅ acting via Dic₅/C₅=C₄	80	4	C4^2.3Dic5	320,106
C₄₀.D₄	48^th non-split extension by C₄₀ of D₄ acting via D₄/C₂=C₂²	80	4	C40.D4	320,111
C₂₀.₃₃C₄²	3^rd non-split extension by C₂₀ of C₄² acting via C₄²/C₂²=C₂²	80		C20.33C4^2	320,113
(C₂×C₄₀)⋊C₄	11^st semidirect product of C₂×C₄₀ and C₄ acting faithfully	80	4	(C2xC40):C4	320,114
C₂³.₉D₂₀	2^nd non-split extension by C₂³ of D₂₀ acting via D₂₀/C₁₀=C₂²	80	4	C2^3.9D20	320,115
M₄(2)⋊₄Dic₅	4^th semidirect product of M₄(2) and Dic₅ acting via Dic₅/C₁₀=C₂	80	4	M4(2):4Dic5	320,117
C₂₀.₅₁C₄²	14^th non-split extension by C₂₀ of C₄² acting via C₄²/C₂×C₄=C₂	80	4	C20.51C4^2	320,118
D₈.Dic₅	2^nd non-split extension by D₈ of Dic₅ acting via Dic₅/C₁₀=C₂	80	4	D8.Dic5	320,121
D₈⋊₂Dic₅	2^nd semidirect product of D₈ and Dic₅ acting via Dic₅/C₁₀=C₂	80	4	D8:2Dic5	320,124
C₅×C₂³⋊C₈	Direct product of C₅ and C₂³⋊C₈	80		C5xC2^3:C8	320,128
C₅×C₂².SD₁₆	Direct product of C₅ and C₂².SD₁₆	80		C5xC2^2.SD16	320,132
C₅×C₂³.₃₁D₄	Direct product of C₅ and C₂³.₃₁D₄	80		C5xC2^3.31D4	320,133
C₅×C₄.₉C₄²	Direct product of C₅ and C₄.₉C₄²	80	4	C5xC4.9C4^2	320,142
C₅×C₄.₁₀C₄²	Direct product of C₅ and C₄.₁₀C₄²	80	4	C5xC4.10C4^2	320,143
C₅×C₄²⋊₆C₄	Direct product of C₅ and C₄²⋊₆C₄	80		C5xC4^2:6C4	320,144
C₅×C₂³.₉D₄	Direct product of C₅ and C₂³.₉D₄	80		C5xC2^3.9D4	320,147
C₅×M₄(2)⋊₄C₄	Direct product of C₅ and M₄(2)⋊₄C₄	80	4	C5xM4(2):4C4	320,149
C₅×C₁₆⋊C₄	Direct product of C₅ and C₁₆⋊C₄	80	4	C5xC16:C4	320,152
C₅×C₂³.C₈	Direct product of C₅ and C₂³.C₈	80	4	C5xC2^3.C8	320,154
C₅×C₂³.D₄	Direct product of C₅ and C₂³.D₄	80	4	C5xC2^3.D4	320,157
C₅×C₄²⋊₃C₄	Direct product of C₅ and C₄²⋊₃C₄	80	4	C5xC4^2:3C4	320,159
C₅×C₄².C₄	Direct product of C₅ and C₄².C₄	80	4	C5xC4^2.C4	320,160
C₅×C₄².₃C₄	Direct product of C₅ and C₄².₃C₄	80	4	C5xC4^2.3C4	320,161
C₅×D₈⋊₂C₄	Direct product of C₅ and D₈⋊₂C₄	80	4	C5xD8:2C4	320,165
C₅×M₅(2)⋊C₂	Direct product of C₅ and M₅(2)⋊C₂	80	4	C5xM5(2):C2	320,166
C₅×C₈.C₈	Direct product of C₅ and C₈.C₈	80	2	C5xC8.C8	320,169
C₅×C₈.Q₈	Direct product of C₅ and C₈.Q₈	80	4	C5xC8.Q8	320,170
C₁₆×F₅	Direct product of C₁₆ and F₅	80	4	C16xF5	320,181
C₁₆⋊₇F₅	3^rd semidirect product of C₁₆ and F₅ acting via F₅/D₅=C₂	80	4	C16:7F5	320,182
C₁₆⋊F₅	3^rd semidirect product of C₁₆ and F₅ acting via F₅/C₅=C₄	80	4	C16:F5	320,183
C₁₆⋊₄F₅	4^th semidirect product of C₁₆ and F₅ acting via F₅/C₅=C₄	80	4	C16:4F5	320,184
C₈₀⋊₄C₄	4^th semidirect product of C₈₀ and C₄ acting faithfully	80	4	C80:4C4	320,185
C₈₀⋊₅C₄	5^th semidirect product of C₈₀ and C₄ acting faithfully	80	4	C80:5C4	320,186
C₈₀⋊₂C₄	2^nd semidirect product of C₈₀ and C₄ acting faithfully	80	4	C80:2C4	320,187
C₈₀⋊₃C₄	3^rd semidirect product of C₈₀ and C₄ acting faithfully	80	4	C80:3C4	320,188
C₄²⋊₂F₅	2^nd semidirect product of C₄² and F₅ acting via F₅/C₅=C₄	80	4	C4^2:2F5	320,192
C₄².F₅	1^st non-split extension by C₄² of F₅ acting via F₅/C₅=C₄	80	4-	C4^2.F5	320,193
C₄².₂F₅	2^nd non-split extension by C₄² of F₅ acting via F₅/C₅=C₄	80	4	C4^2.2F5	320,194
C₄².₃F₅	3^rd non-split extension by C₄² of F₅ acting via F₅/C₅=C₄	80	4	C4^2.3F5	320,198
C₄².₉F₅	6^th non-split extension by C₄² of F₅ acting via F₅/D₅=C₂	80	4	C4^2.9F5	320,199
C₄²⋊₃F₅	3^rd semidirect product of C₄² and F₅ acting via F₅/C₅=C₄	80	4	C4^2:3F5	320,201
C₂²⋊C₄⋊F₅	2^nd semidirect product of C₂²⋊C₄ and F₅ acting via F₅/C₅=C₄	80	8-	C2^2:C4:F5	320,203
C₂²⋊C₄.F₅	1^st non-split extension by C₂²⋊C₄ of F₅ acting via F₅/D₅=C₂	80	8-	C2^2:C4.F5	320,205
D₁₀.₁D₈	1^st non-split extension by D₁₀ of D₈ acting via D₈/C₄=C₂²	80		D10.1D8	320,206
D₁₀.₁Q₁₆	1^st non-split extension by D₁₀ of Q₁₆ acting via Q₁₆/C₄=C₂²	80		D10.1Q16	320,207
D₁₀.₁₈D₈	7^th non-split extension by D₁₀ of D₈ acting via D₈/D₄=C₂	80		D10.18D8	320,212
C₂₀.C₄²	2^nd non-split extension by C₂₀ of C₄² acting via C₄²/C₂=C₂×C₄	80		C20.C4^2	320,213
C₄₀.₁C₈	1^st non-split extension by C₄₀ of C₈ acting via C₈/C₂=C₄	80	4	C40.1C8	320,227
C₂₀.₂₃C₄²	16^th non-split extension by C₂₀ of C₄² acting via C₄²/C₄=C₄	80	4	C20.23C4^2	320,228
C₂₀.₁₀M₄(2)	4^th non-split extension by C₂₀ of M₄(2) acting via M₄(2)/C₄=C₄	80	4	C20.10M4(2)	320,229
D₁₀.₃M₄(2)	1^st non-split extension by D₁₀ of M₄(2) acting via M₄(2)/C₈=C₂	80		D10.3M4(2)	320,230
D₁₀.₁₀D₈	6^th non-split extension by D₁₀ of D₈ acting via D₈/C₈=C₂	80		D10.10D8	320,231
(C₂×C₈)⋊F₅	1^st semidirect product of C₂×C₈ and F₅ acting via F₅/C₅=C₄	80	4	(C2xC8):F5	320,232
C₂₀.₂₄C₄²	17^th non-split extension by C₂₀ of C₄² acting via C₄²/C₄=C₄	80	4	C20.24C4^2	320,233
C₂₀.₂₅C₄²	18^th non-split extension by C₂₀ of C₄² acting via C₄²/C₄=C₄	80	4	C20.25C4^2	320,235
M₄(2).F₅	3^rd non-split extension by M₄(2) of F₅ acting via F₅/D₅=C₂	80	8	M4(2).F5	320,239
M₄(2)⋊₄F₅	4^th semidirect product of M₄(2) and F₅ acting via F₅/D₅=C₂	80	8	M4(2):4F5	320,240
D₁₀.D₈	2^nd non-split extension by D₁₀ of D₈ acting via D₈/C₄=C₂²	80	8-	D10.D8	320,241
D₅.D₁₆	The non-split extension by D₅ of D₁₆ acting via D₁₆/D₈=C₂	80	8+	D5.D16	320,242
D₄₀.C₄	1^st non-split extension by D₄₀ of C₄ acting faithfully	80	8+	D40.C4	320,244
D₄₀⋊₁C₄	1^st semidirect product of D₄₀ and C₄ acting faithfully	80	8+	D40:1C4	320,245
D₅.Q₃₂	The non-split extension by D₅ of Q₃₂ acting via Q₃₂/Q₁₆=C₂	80	8-	D5.Q32	320,246
C₂₀.₂₉M₄(2)	4^th non-split extension by C₂₀ of M₄(2) acting via M₄(2)/C₂²=C₄	80	4	C20.29M4(2)	320,250
C₅⋊(C₂³⋊C₈)	The semidirect product of C₅ and C₂³⋊C₈ acting via C₂³⋊C₈/C₂²×C₄=C₄	80		C5:(C2^3:C8)	320,253
(C₂²×C₄)⋊F₅	1^st semidirect product of C₂²×C₄ and F₅ acting via F₅/C₅=C₄	80	4	(C2^2xC4):F5	320,254
C₂²⋊F₅⋊C₄	2^nd semidirect product of C₂²⋊F₅ and C₄ acting via C₄/C₂=C₂	80		C2^2:F5:C4	320,255
D₁₀.SD₁₆	7^th non-split extension by D₁₀ of SD₁₆ acting via SD₁₆/C₄=C₂²	80		D10.SD16	320,258
(D₄×C₁₀).C₄	2^nd non-split extension by D₄×C₁₀ of C₄ acting faithfully	80	8-	(D4xC10).C4	320,261
D₁₀.Q₁₆	2^nd non-split extension by D₁₀ of Q₁₆ acting via Q₁₆/C₄=C₂²	80		D10.Q16	320,264
(C₂×Q₈)⋊F₅	2^nd semidirect product of C₂×Q₈ and F₅ acting via F₅/C₅=C₄	80	8+	(C2xQ8):F5	320,266
(Q₈×C₁₀).C₄	2^nd non-split extension by Q₈×C₁₀ of C₄ acting faithfully	80	8-	(Q8xC10).C4	320,267
C₂⁴.F₅	1^st non-split extension by C₂⁴ of F₅ acting via F₅/C₅=C₄	80		C2^4.F5	320,271
D₄₀⋊₁₇C₄	The semidirect product of D₄₀ and C₄ acting through Inn(D₄₀)	80	2	D40:17C4	320,327
D₄₀⋊₁₀C₄	4^th semidirect product of D₄₀ and C₄ acting via C₄/C₂=C₂	80	4	D40:10C4	320,344
D₅×C₂²⋊C₈	Direct product of D₅ and C₂²⋊C₈	80		D5xC2^2:C8	320,351
D₁₀⋊₇M₄(2)	1^st semidirect product of D₁₀ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	80		D10:7M4(2)	320,353
D₂₀.₃₁D₄	1^st non-split extension by D₂₀ of D₄ acting via D₄/C₂²=C₂	80		D20.31D4	320,358
D₂₀⋊₁₃D₄	1^st semidirect product of D₂₀ and D₄ acting via D₄/C₂²=C₂	80		D20:13D4	320,359
C₂³⋊C₄⋊₅D₅	The semidirect product of C₂³⋊C₄ and D₅ acting through Inn(C₂³⋊C₄)	80	8-	C2^3:C4:5D5	320,367
C₂³.₅D₂₀	5^th non-split extension by C₂³ of D₂₀ acting via D₂₀/C₅=D₄	80	8-	C2^3.5D20	320,369
M₄(2).₁₉D₁₀	2^nd non-split extension by M₄(2) of D₁₀ acting via D₁₀/D₅=C₂	80	8-	M4(2).19D10	320,372
D₂₀.₁D₄	1^st non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	8-	D20.1D4	320,373
D₂₀.₂D₄	2^nd non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	8-	D20.2D4	320,375
D₂₀.₃D₄	3^rd non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	8+	D20.3D4	320,376
D₅×C₄.₁₀D₄	Direct product of D₅ and C₄.₁₀D₄	80	8-	D5xC4.10D4	320,377
M₄(2).₂₁D₁₀	4^th non-split extension by M₄(2) of D₁₀ acting via D₁₀/D₅=C₂	80	8+	M4(2).21D10	320,378
D₂₀.₄D₄	4^th non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	8-	D20.4D4	320,379
D₂₀.₅D₄	5^th non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	8+	D20.5D4	320,380
D₂₀.₆D₄	6^th non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	8+	D20.6D4	320,381
D₅×D₄⋊C₄	Direct product of D₅ and D₄⋊C₄	80		D5xD4:C4	320,396
(D₄×D₅)⋊C₄	2^nd semidirect product of D₄×D₅ and C₄ acting via C₄/C₂=C₂	80		(D4xD5):C4	320,397
D₄⋊D₂₀	1^st semidirect product of D₄ and D₂₀ acting via D₂₀/D₁₀=C₂	80		D4:D20	320,400
D₂₀.₈D₄	8^th non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80		D20.8D4	320,403
C₄²⋊D₁₀	1^st semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80	4	C4^2:D10	320,448
M₄(2).₂₂D₁₀	5^th non-split extension by M₄(2) of D₁₀ acting via D₁₀/D₅=C₂	80	4	M4(2).22D10	320,450
C₄².₁₉₆D₁₀	16^th non-split extension by C₄² of D₁₀ acting via D₁₀/D₅=C₂	80	4	C4^2.196D10	320,451
M₄(2)⋊D₁₀	4^th semidirect product of M₄(2) and D₁₀ acting via D₁₀/C₅=C₂²	80	4	M4(2):D10	320,452
D₄.₉D₂₀	4^th non-split extension by D₄ of D₂₀ acting via D₂₀/D₁₀=C₂	80	4-	D4.9D20	320,453
D₄.₁₀D₂₀	5^th non-split extension by D₄ of D₂₀ acting via D₂₀/D₁₀=C₂	80	4	D4.10D20	320,454
D₅×C₈.C₄	Direct product of D₅ and C₈.C₄	80	4	D5xC8.C4	320,519
M₄(2).₂₅D₁₀	8^th non-split extension by M₄(2) of D₁₀ acting via D₁₀/D₅=C₂	80	4	M4(2).25D10	320,520
D₄₀⋊₁₆C₄	10^th semidirect product of D₄₀ and C₄ acting via C₄/C₂=C₂	80	4	D40:16C4	320,521
D₄₀⋊₁₃C₄	7^th semidirect product of D₄₀ and C₄ acting via C₄/C₂=C₂	80	4	D40:13C4	320,522
C₈.₂₁D₂₀	7^th non-split extension by C₈ of D₂₀ acting via D₂₀/D₁₀=C₂	80	4+	C8.21D20	320,524
C₈.₂₄D₂₀	10^th non-split extension by C₈ of D₂₀ acting via D₂₀/D₁₀=C₂	80	4	C8.24D20	320,525
D₅×M₅(2)	Direct product of D₅ and M₅(2)	80	4	D5xM5(2)	320,533
D₈₀⋊C₂	2^nd semidirect product of D₈₀ and C₂ acting faithfully	80	4+	D80:C2	320,535
D₅×D₁₆	Direct product of D₅ and D₁₆	80	4+	D5xD16	320,537
D₁₆⋊D₅	2^nd semidirect product of D₁₆ and D₅ acting via D₅/C₅=C₂	80	4	D16:D5	320,538
D₅×SD₃₂	Direct product of D₅ and SD₃₂	80	4	D5xSD32	320,540
C₁₆⋊D₁₀	3^rd semidirect product of C₁₆ and D₁₀ acting via D₁₀/C₅=C₂²	80	4+	C16:D10	320,541
C₂×D₂₀⋊₄C₄	Direct product of C₂ and D₂₀⋊₄C₄	80		C2xD20:4C4	320,554
C₂×C₂³.₁D₁₀	Direct product of C₂ and C₂³.₁D₁₀	80		C2xC2^3.1D10	320,581
C₂⁴.₄₈D₁₀	6^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/D₅=C₂	80		C2^4.48D10	320,582
C₄⋊C₄⋊₃₆D₁₀	2^nd semidirect product of C₄⋊C₄ and D₁₀ acting via D₁₀/C₁₀=C₂	80		C4:C4:36D10	320,628
C₄²⋊₄D₁₀	4^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80	4	C4^2:4D10	320,632
(C₂×D₂₀)⋊₂₅C₄	10^th semidirect product of C₂×D₂₀ and C₄ acting via C₄/C₂=C₂	80	4	(C2xD20):25C4	320,633
D₂₀⋊₁₆D₄	4^th semidirect product of D₂₀ and D₄ acting via D₄/C₂²=C₂	80		D20:16D4	320,663
D₂₀.₃₆D₄	6^th non-split extension by D₂₀ of D₄ acting via D₄/C₂²=C₂	80		D20.36D4	320,673
C₂²⋊C₄⋊D₁₀	4^th semidirect product of C₂²⋊C₄ and D₁₀ acting via D₁₀/C₅=C₂²	80	4	C2^2:C4:D10	320,680
C₄²⋊₅D₁₀	5^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80	4	C4^2:5D10	320,688
D₂₀.₁₄D₄	14^th non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	4	D20.14D4	320,689
D₂₀.₁₅D₄	15^th non-split extension by D₂₀ of D₄ acting via D₄/C₂=C₂²	80	4	D20.15D4	320,722
C₂³.Dic₁₀	6^th non-split extension by C₂³ of Dic₁₀ acting via Dic₁₀/C₁₀=C₂²	80	4	C2^3.Dic10	320,751
M₄(2).Dic₅	1^st non-split extension by M₄(2) of Dic₅ acting via Dic₅/C₁₀=C₂	80	4	M4(2).Dic5	320,752
D₁₀⋊₈M₄(2)	2^nd semidirect product of D₁₀ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	80		D10:8M4(2)	320,753
C₂×C₂₀.₄₆D₄	Direct product of C₂ and C₂₀.₄₆D₄	80		C2xC20.46D4	320,757
C₂³.₄₈D₂₀	19^th non-split extension by C₂³ of D₂₀ acting via D₂₀/D₁₀=C₂	80		C2^3.48D20	320,758
M₄(2).₃₁D₁₀	4^th non-split extension by M₄(2) of D₁₀ acting via D₁₀/C₁₀=C₂	80	4	M4(2).31D10	320,759
C₂×D₂₀⋊₇C₄	Direct product of C₂ and D₂₀⋊₇C₄	80		C2xD20:7C4	320,765
C₂³.₂₀D₂₀	13^rd non-split extension by C₂³ of D₂₀ acting via D₂₀/C₁₀=C₂²	80	4	C2^3.20D20	320,766
D₄.₃D₂₀	3^rd non-split extension by D₄ of D₂₀ acting via D₂₀/C₂₀=C₂	80	4	D4.3D20	320,768
D₄.₄D₂₀	4^th non-split extension by D₄ of D₂₀ acting via D₂₀/C₂₀=C₂	80	4+	D4.4D20	320,769
C₄₀.₉₃D₄	16^th non-split extension by C₄₀ of D₄ acting via D₄/C₂²=C₂	80	4	C40.93D4	320,771
C₄₀.₅₀D₄	50^th non-split extension by C₄₀ of D₄ acting via D₄/C₂=C₂²	80	4	C40.50D4	320,772
D₈.D₁₀	1^st non-split extension by D₈ of D₁₀ acting via D₁₀/C₁₀=C₂	80	4	D8.D10	320,774
D₂₀⋊D₄	6^th semidirect product of D₂₀ and D₄ acting via D₄/C₂=C₂²	80		D20:D4	320,783
C₄₀.₂₃D₄	23^rd non-split extension by C₄₀ of D₄ acting via D₄/C₂=C₂²	80	4	C40.23D4	320,787
D₁₀⋊₆SD₁₆	2^nd semidirect product of D₁₀ and SD₁₆ acting via SD₁₆/D₄=C₂	80		D10:6SD16	320,796
C₄₀.₄₄D₄	44^th non-split extension by C₄₀ of D₄ acting via D₄/C₂=C₂²	80	4	C40.44D4	320,804
D₈⋊D₁₀	2^nd semidirect product of D₈ and D₁₀ acting via D₁₀/C₁₀=C₂	80	4+	D8:D10	320,820
D₈⋊₅Dic₅	The semidirect product of D₈ and Dic₅ acting through Inn(D₈)	80	4	D8:5Dic5	320,823
D₈⋊₄Dic₅	4^th semidirect product of D₈ and Dic₅ acting via Dic₅/C₁₀=C₂	80	4	D8:4Dic5	320,824
M₄(2).D₁₀	12^nd non-split extension by M₄(2) of D₁₀ acting via D₁₀/C₅=C₂²	80	8+	M4(2).D10	320,826
M₄(2).₁₃D₁₀	13^rd non-split extension by M₄(2) of D₁₀ acting via D₁₀/C₅=C₂²	80	8-	M4(2).13D10	320,827
D₂₀.₃₈D₄	8^th non-split extension by D₂₀ of D₄ acting via D₄/C₂²=C₂	80	8-	D20.38D4	320,828
D₂₀.₃₉D₄	9^th non-split extension by D₂₀ of D₄ acting via D₄/C₂²=C₂	80	8+	D20.39D4	320,829
M₄(2).₁₅D₁₀	15^th non-split extension by M₄(2) of D₁₀ acting via D₁₀/C₅=C₂²	80	8+	M4(2).15D10	320,830
D₂₀.₄₀D₄	10^th non-split extension by D₂₀ of D₄ acting via D₄/C₂²=C₂	80	8-	D20.40D4	320,832
C₂⁴.₄Dic₅	2^nd non-split extension by C₂⁴ of Dic₅ acting via Dic₅/C₁₀=C₂	80		C2^4.4Dic5	320,834
(D₄×C₁₀)⋊₁₈C₄	2^nd semidirect product of D₄×C₁₀ and C₄ acting via C₄/C₂=C₂	80		(D4xC10):18C4	320,842
C₂×C₂₀.D₄	Direct product of C₂ and C₂₀.D₄	80		C2xC20.D4	320,843
(C₂×C₁₀)⋊₈D₈	2^nd semidirect product of C₂×C₁₀ and D₈ acting via D₈/D₄=C₂	80		(C2xC10):8D8	320,844
(C₅×D₄).₃₁D₄	1^st non-split extension by C₅×D₄ of D₄ acting via D₄/C₂²=C₂	80		(C5xD4).31D4	320,845
C₂×C₂³⋊Dic₅	Direct product of C₂ and C₂³⋊Dic₅	80		C2xC2^3:Dic5	320,846
C₂×D₄⋊₂Dic₅	Direct product of C₂ and D₄⋊₂Dic₅	80		C2xD4:2Dic5	320,862
(D₄×C₁₀)⋊₂₁C₄	5^th semidirect product of D₄×C₁₀ and C₄ acting via C₄/C₂=C₂	80	4	(D4xC10):21C4	320,863
(D₄×C₁₀).₂₉C₄	10^th non-split extension by D₄×C₁₀ of C₄ acting via C₄/C₂=C₂	80	4	(D4xC10).29C4	320,864
(D₄×C₁₀)⋊₂₂C₄	6^th semidirect product of D₄×C₁₀ and C₄ acting via C₄/C₂=C₂	80	4	(D4xC10):22C4	320,867
2₊¹⁺⁴.D₅	1^st non-split extension by 2₊¹⁺⁴ of D₅ acting via D₅/C₅=C₂	80	8-	ES+(2,2).D5	320,869
2₊¹⁺⁴.₂D₅	2^nd non-split extension by 2₊¹⁺⁴ of D₅ acting via D₅/C₅=C₂	80	8-	ES+(2,2).2D5	320,870
2_-¹⁺⁴⋊₂D₅	1^st semidirect product of 2_-¹⁺⁴ and D₅ acting via D₅/C₅=C₂	80	8+	ES-(2,2):2D5	320,872
2_-¹⁺⁴.₂D₅	The non-split extension by 2_-¹⁺⁴ of D₅ acting via D₅/C₅=C₂	80	8-	ES-(2,2).2D5	320,873
C₂⁵.₂D₅	1^st non-split extension by C₂⁵ of D₅ acting via D₅/C₅=C₂	80		C2^5.2D5	320,874
C₅×C₂⁴⋊₃C₄	Direct product of C₅ and C₂⁴⋊₃C₄	80		C5xC2^4:3C4	320,880
C₅×C₂⁴.₄C₄	Direct product of C₅ and C₂⁴.₄C₄	80		C5xC2^4.4C4	320,908
C₁₀×C₂³⋊C₄	Direct product of C₁₀ and C₂³⋊C₄	80		C10xC2^3:C4	320,910
C₅×C₂³.C₂³	Direct product of C₅ and C₂³.C₂³	80	4	C5xC2^3.C2^3	320,911
C₁₀×C₄.D₄	Direct product of C₁₀ and C₄.D₄	80		C10xC4.D4	320,912
C₅×M₄(2).₈C₂²	Direct product of C₅ and M₄(2).₈C₂²	80	4	C5xM4(2).8C2^2	320,914
C₅×C₂³.₃₇D₄	Direct product of C₅ and C₂³.₃₇D₄	80		C5xC2^3.37D4	320,919
C₁₀×C₄≀C₂	Direct product of C₁₀ and C₄≀C₂	80		C10xC4wrC2	320,921
C₅×C₄²⋊C₂²	Direct product of C₅ and C₄²⋊C₂²	80	4	C5xC4^2:C2^2	320,922
C₅×M₄(2).C₄	Direct product of C₅ and M₄(2).C₄	80	4	C5xM4(2).C4	320,931
C₅×C₈○D₈	Direct product of C₅ and C₈○D₈	80	2	C5xC8oD8	320,944
C₅×C₈.₂₆D₄	Direct product of C₅ and C₈.₂₆D₄	80	4	C5xC8.26D4	320,945
C₅×C₂²⋊D₈	Direct product of C₅ and C₂²⋊D₈	80		C5xC2^2:D8	320,948
C₅×C₂²⋊SD₁₆	Direct product of C₅ and C₂²⋊SD₁₆	80		C5xC2^2:SD16	320,951
C₅×D₄.₈D₄	Direct product of C₅ and D₄.₈D₄	80	4	C5xD4.8D4	320,955
C₅×D₄.₉D₄	Direct product of C₅ and D₄.₉D₄	80	4	C5xD4.9D4	320,956
C₅×D₄.₁₀D₄	Direct product of C₅ and D₄.₁₀D₄	80	4	C5xD4.10D4	320,957
C₅×C₂³.₇D₄	Direct product of C₅ and C₂³.₇D₄	80	4	C5xC2^3.7D4	320,959
C₅×D₄.₃D₄	Direct product of C₅ and D₄.₃D₄	80	4	C5xD4.3D4	320,972
C₅×D₄.₄D₄	Direct product of C₅ and D₄.₄D₄	80	4	C5xD4.4D4	320,973
C₅×C₁₆⋊C₂²	Direct product of C₅ and C₁₆⋊C₂²	80	4	C5xC16:C2^2	320,1010
C₄²×F₅	Direct product of C₄² and F₅	80		C4^2xF5	320,1023
C₄²⋊₄F₅	1^st semidirect product of C₄² and F₅ acting via F₅/D₅=C₂	80		C4^2:4F5	320,1024
C₄×C₄⋊F₅	Direct product of C₄ and C₄⋊F₅	80		C4xC4:F5	320,1025
C₄²⋊₈F₅	5^th semidirect product of C₄² and F₅ acting via F₅/D₅=C₂	80		C4^2:8F5	320,1026
C₄²⋊₉F₅	6^th semidirect product of C₄² and F₅ acting via F₅/D₅=C₂	80		C4^2:9F5	320,1027
C₄²⋊₅F₅	2^nd semidirect product of C₄² and F₅ acting via F₅/D₅=C₂	80		C4^2:5F5	320,1028
C₁₀.(C₄×D₄)	7^th non-split extension by C₁₀ of C₄×D₄ acting via C₄×D₄/D₄=C₄	80		C10.(C4xD4)	320,1038
C₄⋊C₄×F₅	Direct product of C₄⋊C₄ and F₅	80		C4:C4xF5	320,1048
C₄⋊C₄⋊₅F₅	3^rd semidirect product of C₄⋊C₄ and F₅ acting via F₅/D₅=C₂	80		C4:C4:5F5	320,1049
C₂₀⋊(C₄⋊C₄)	The semidirect product of C₂₀ and C₄⋊C₄ acting via C₄⋊C₄/C₂=C₂×C₄	80		C20:(C4:C4)	320,1050
D₅⋊M₅(2)	The semidirect product of D₅ and M₅(2) acting via M₅(2)/C₂×C₈=C₂	80	4	D5:M5(2)	320,1053
C₂×C₈×F₅	Direct product of C₂×C₈ and F₅	80		C2xC8xF5	320,1054
C₂×C₈⋊F₅	Direct product of C₂ and C₈⋊F₅	80		C2xC8:F5	320,1055
C₂₀.₁₂C₄²	5^th non-split extension by C₂₀ of C₄² acting via C₄²/C₄=C₄	80	4	C20.12C4^2	320,1056
C₂×C₄₀⋊C₄	Direct product of C₂ and C₄₀⋊C₄	80		C2xC40:C4	320,1057
C₂×D₅.D₈	Direct product of C₂ and D₅.D₈	80		C2xD5.D8	320,1058
(C₂×C₈)⋊₆F₅	4^th semidirect product of C₂×C₈ and F₅ acting via F₅/D₅=C₂	80	4	(C2xC8):6F5	320,1059
(C₈×D₅).C₄	6^th non-split extension by C₈×D₅ of C₄ acting via C₄/C₂=C₂	80	4	(C8xD5).C4	320,1062
M₄(2)⋊₅F₅	The semidirect product of M₄(2) and F₅ acting through Inn(M₄(2))	80	8	M4(2):5F5	320,1066
M₄(2).₁F₅	1^st non-split extension by M₄(2) of F₅ acting via F₅/D₅=C₂	80	8	M4(2).1F5	320,1067
D₈⋊₅F₅	The semidirect product of D₈ and F₅ acting through Inn(D₈)	80	8-	D8:5F5	320,1070
D₈⋊F₅	4^th semidirect product of D₈ and F₅ acting via F₅/D₅=C₂	80	8-	D8:F5	320,1071
SD₁₆⋊₃F₅	The semidirect product of SD₁₆ and F₅ acting through Inn(SD₁₆)	80	8	SD16:3F5	320,1074
SD₁₆⋊₂F₅	2^nd semidirect product of SD₁₆ and F₅ acting via F₅/D₅=C₂	80	8	SD16:2F5	320,1075
Q₁₆×F₅	Direct product of Q₁₆ and F₅	80	8-	Q16xF5	320,1076
Dic₂₀⋊C₄	3^rd semidirect product of Dic₂₀ and C₄ acting faithfully	80	8-	Dic20:C4	320,1077
Q₁₆⋊₅F₅	The semidirect product of Q₁₆ and F₅ acting through Inn(Q₁₆)	80	8+	Q16:5F5	320,1078
Q₁₆⋊F₅	4^th semidirect product of Q₁₆ and F₅ acting via F₅/D₅=C₂	80	8+	Q16:F5	320,1079
C₂×D₁₀.D₄	Direct product of C₂ and D₁₀.D₄	80		C2xD10.D4	320,1082
C₂³⋊F₅⋊₅C₂	The semidirect product of C₂³⋊F₅ and C₂ acting through Inn(C₂³⋊F₅)	80	4	C2^3:F5:5C2	320,1083
D₁₀.₁₁M₄(2)	7^th non-split extension by D₁₀ of M₄(2) acting via M₄(2)/C₂×C₄=C₂	80		D10.11M4(2)	320,1091
D₁₀⋊₉M₄(2)	3^rd semidirect product of D₁₀ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	80		D10:9M4(2)	320,1093
D₁₀⋊₁₀M₄(2)	4^th semidirect product of D₁₀ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	80		D10:10M4(2)	320,1094
(C₄×D₅).D₄	54^th non-split extension by C₄×D₅ of D₄ acting via D₄/C₂=C₂²	80	4	(C4xD5).D4	320,1099
C₂×D₁₀.₃Q₈	Direct product of C₂ and D₁₀.₃Q₈	80		C2xD10.3Q8	320,1100
C₄×C₂²⋊F₅	Direct product of C₄ and C₂²⋊F₅	80		C4xC2^2:F5	320,1101
(C₂²×C₄)⋊₇F₅	3^rd semidirect product of C₂²×C₄ and F₅ acting via F₅/D₅=C₂	80		(C2^2xC4):7F5	320,1102
D₁₀⋊₆(C₄⋊C₄)	5^th semidirect product of D₁₀ and C₄⋊C₄ acting via C₄⋊C₄/C₂×C₄=C₂	80		D10:6(C4:C4)	320,1103
C₂×D₂₀⋊C₄	Direct product of C₂ and D₂₀⋊C₄	80		C2xD20:C4	320,1104
C₂×D₄⋊F₅	Direct product of C₂ and D₄⋊F₅	80		C2xD4:F5	320,1106
(C₂×D₄)⋊₆F₅	4^th semidirect product of C₂×D₄ and F₅ acting via F₅/D₅=C₂	80	8-	(C2xD4):6F5	320,1107
(C₂×D₄)⋊₈F₅	6^th semidirect product of C₂×D₄ and F₅ acting via F₅/D₅=C₂	80	8-	(C2xD4):8F5	320,1109
(C₂×D₄).₉F₅	6^th non-split extension by C₂×D₄ of F₅ acting via F₅/D₅=C₂	80	8-	(C2xD4).9F5	320,1115
C₂.(D₄×F₅)	25^th central stem extension by C₂ of D₄×F₅	80		C2.(D4xF5)	320,1118
C₂×Q₈⋊F₅	Direct product of C₂ and Q₈⋊F₅	80		C2xQ8:F5	320,1119
(C₂×Q₈)⋊₄F₅	2^nd semidirect product of C₂×Q₈ and F₅ acting via F₅/D₅=C₂	80	8-	(C2xQ8):4F5	320,1120
C₂×Q₈⋊₂F₅	Direct product of C₂ and Q₈⋊₂F₅	80		C2xQ8:2F5	320,1121
(C₂×Q₈)⋊₆F₅	4^th semidirect product of C₂×Q₈ and F₅ acting via F₅/D₅=C₂	80	8+	(C2xQ8):6F5	320,1122
(C₂×Q₈)⋊₇F₅	5^th semidirect product of C₂×Q₈ and F₅ acting via F₅/D₅=C₂	80	8+	(C2xQ8):7F5	320,1123
(C₂×Q₈).₇F₅	4^th non-split extension by C₂×Q₈ of F₅ acting via F₅/D₅=C₂	80	8-	(C2xQ8).7F5	320,1127
(C₂×F₅)⋊Q₈	The semidirect product of C₂×F₅ and Q₈ acting via Q₈/C₄=C₂	80		(C2xF5):Q8	320,1128
C₄○D₂₀⋊C₄	3^rd semidirect product of C₄○D₂₀ and C₄ acting faithfully	80	8	C4oD20:C4	320,1132
D₄⋊F₅⋊C₂	6^th semidirect product of D₄⋊F₅ and C₂ acting faithfully	80	8	D4:F5:C2	320,1133
C₂×C₂³⋊F₅	Direct product of C₂ and C₂³⋊F₅	80		C2xC2^3:F5	320,1134
C₂⁴.₄F₅	2^nd non-split extension by C₂⁴ of F₅ acting via F₅/D₅=C₂	80		C2^4.4F5	320,1136
C₂×C₂³.F₅	Direct product of C₂ and C₂³.F₅	80		C2xC2^3.F5	320,1137
C₂³⋊₂Dic₁₀	2^nd semidirect product of C₂³ and Dic₁₀ acting via Dic₁₀/C₁₀=C₂²	80		C2^3:2Dic10	320,1155
C₂×D₅×C₂²⋊C₄	Direct product of C₂, D₅ and C₂²⋊C₄	80		C2xD5xC2^2:C4	320,1156
C₂⁴.₂₄D₁₀	24^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.24D10	320,1158
C₂×C₂²⋊D₂₀	Direct product of C₂ and C₂²⋊D₂₀	80		C2xC2^2:D20	320,1159
C₂⁴.₂₇D₁₀	27^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.27D10	320,1162
C₂³⋊₃D₂₀	2^nd semidirect product of C₂³ and D₂₀ acting via D₂₀/C₁₀=C₂²	80		C2^3:3D20	320,1165
C₂⁴.₃₀D₁₀	30^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.30D10	320,1166
C₂⁴.₃₁D₁₀	31^st non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.31D10	320,1167
D₅×C₄²⋊C₂	Direct product of D₅ and C₄²⋊C₂	80		D5xC4^2:C2	320,1192
C₄²⋊₇D₁₀	7^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:7D10	320,1193
C₄²⋊₈D₁₀	8^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:8D10	320,1196
C₄²⋊₉D₁₀	9^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:9D10	320,1197
C₄²⋊₁₀D₁₀	10^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:10D10	320,1199
C₄×D₄×D₅	Direct product of C₄, D₄ and D₅	80		C4xD4xD5	320,1216
C₄²⋊₁₁D₁₀	11^st semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:11D10	320,1217
C₄²⋊₁₂D₁₀	12^nd semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:12D10	320,1219
D₄×D₂₀	Direct product of D₄ and D₂₀	80		D4xD20	320,1221
D₂₀⋊₂₃D₄	1^st semidirect product of D₂₀ and D₄ acting through Inn(D₂₀)	80		D20:23D4	320,1222
D₄⋊₅D₂₀	1^st semidirect product of D₄ and D₂₀ acting through Inn(D₄)	80		D4:5D20	320,1226
C₄²⋊₁₆D₁₀	16^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:16D10	320,1228
C₄²⋊₁₇D₁₀	17^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:17D10	320,1232
C₂⁴.₅₆D₁₀	14^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/D₅=C₂	80		C2^4.56D10	320,1258
C₂⁴.₃₂D₁₀	32^nd non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.32D10	320,1259
C₂⁴⋊₃D₁₀	2^nd semidirect product of C₂⁴ and D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4:3D10	320,1261
C₂⁴⋊₄D₁₀	3^rd semidirect product of C₂⁴ and D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4:4D10	320,1262
C₂⁴.₃₃D₁₀	33^rd non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.33D10	320,1263
C₂⁴.₃₄D₁₀	34^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.34D10	320,1264
C₂⁴.₃₅D₁₀	35^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.35D10	320,1265
C₂⁴⋊₅D₁₀	4^th semidirect product of C₂⁴ and D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4:5D10	320,1266
C₂⁴.₃₆D₁₀	36^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.36D10	320,1267
D₅×C₄⋊D₄	Direct product of D₅ and C₄⋊D₄	80		D5xC4:D4	320,1276
C₁₀.₃₇2₊¹⁺⁴	37^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.37ES+(2,2)	320,1277
C₄⋊C₄⋊₂₁D₁₀	4^th semidirect product of C₄⋊C₄ and D₁₀ acting via D₁₀/D₅=C₂	80		C4:C4:21D10	320,1278
C₁₀.₃₈2₊¹⁺⁴	38^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.38ES+(2,2)	320,1279
D₂₀⋊₁₉D₄	7^th semidirect product of D₂₀ and D₄ acting via D₄/C₂²=C₂	80		D20:19D4	320,1281
C₁₀.₄₀2₊¹⁺⁴	40^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.40ES+(2,2)	320,1282
D₂₀⋊₂₀D₄	8^th semidirect product of D₂₀ and D₄ acting via D₄/C₂²=C₂	80		D20:20D4	320,1284
C₁₀.₄₂2₊¹⁺⁴	42^nd non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.42ES+(2,2)	320,1285
C₁₀.₄₆2₊¹⁺⁴	46^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.46ES+(2,2)	320,1289
C₁₀.₄₈2₊¹⁺⁴	48^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.48ES+(2,2)	320,1292
D₅×C₂²⋊Q₈	Direct product of D₅ and C₂²⋊Q₈	80		D5xC2^2:Q8	320,1298
C₄⋊C₄⋊₂₆D₁₀	9^th semidirect product of C₄⋊C₄ and D₁₀ acting via D₁₀/D₅=C₂	80		C4:C4:26D10	320,1299
D₂₀⋊₂₁D₄	9^th semidirect product of D₂₀ and D₄ acting via D₄/C₂²=C₂	80		D20:21D4	320,1302
C₁₀.₅₁2₊¹⁺⁴	51^st non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.51ES+(2,2)	320,1306
C₁₀.₅₃2₊¹⁺⁴	53^rd non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.53ES+(2,2)	320,1309
C₁₀.₅₆2₊¹⁺⁴	56^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.56ES+(2,2)	320,1316
D₅×C₂².D₄	Direct product of D₅ and C₂².D₄	80		D5xC2^2.D4	320,1324
C₁₀.₁₂₀2₊¹⁺⁴	29^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	80		C10.120ES+(2,2)	320,1325
C₁₀.₁₂₁2₊¹⁺⁴	30^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	80		C10.121ES+(2,2)	320,1326
C₄⋊C₄⋊₂₈D₁₀	11^st semidirect product of C₄⋊C₄ and D₁₀ acting via D₁₀/D₅=C₂	80		C4:C4:28D10	320,1328
C₁₀.₆₁2₊¹⁺⁴	61^st non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.61ES+(2,2)	320,1329
C₁₀.₁₂₂2₊¹⁺⁴	31^st non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	80		C10.122ES+(2,2)	320,1330
C₁₀.₆₂2₊¹⁺⁴	62^nd non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.62ES+(2,2)	320,1331
C₁₀.₆₈2₊¹⁺⁴	68^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	80		C10.68ES+(2,2)	320,1338
D₅×C₄.₄D₄	Direct product of D₅ and C₄.₄D₄	80		D5xC4.4D4	320,1345
C₄²⋊₁₈D₁₀	18^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:18D10	320,1346
D₂₀⋊₁₀D₄	3^rd semidirect product of D₂₀ and D₄ acting via D₄/C₄=C₂	80		D20:10D4	320,1348
C₄²⋊₂₀D₁₀	20^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:20D10	320,1350
C₄²⋊₂₁D₁₀	21^st semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:21D10	320,1351
C₄²⋊₂₂D₁₀	22^nd semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:22D10	320,1355
D₅×C₄²⋊₂C₂	Direct product of D₅ and C₄²⋊₂C₂	80		D5xC4^2:2C2	320,1375
C₄²⋊₂₃D₁₀	23^rd semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:23D10	320,1376
C₄²⋊₂₄D₁₀	24^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:24D10	320,1377
C₄²⋊₂₅D₁₀	25^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:25D10	320,1383
D₅×C₄⋊₁D₄	Direct product of D₅ and C₄⋊₁D₄	80		D5xC4:1D4	320,1386
C₄²⋊₂₆D₁₀	26^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:26D10	320,1387
D₂₀⋊₁₁D₄	4^th semidirect product of D₂₀ and D₄ acting via D₄/C₄=C₂	80		D20:11D4	320,1389
C₄²⋊₂₈D₁₀	28^th semidirect product of C₄² and D₁₀ acting via D₁₀/C₅=C₂²	80		C4^2:28D10	320,1392
C₂×D₅×M₄(2)	Direct product of C₂, D₅ and M₄(2)	80		C2xD5xM4(2)	320,1415
C₄₀.₄₇C₂³	40^th non-split extension by C₄₀ of C₂³ acting via C₂³/C₂=C₂²	80	4	C40.47C2^3	320,1417
C₂×C₈⋊D₁₀	Direct product of C₂ and C₈⋊D₁₀	80		C2xC8:D10	320,1418
C₄₀.₉C₂³	2^nd non-split extension by C₄₀ of C₂³ acting via C₂³/C₂=C₂²	80	4	C40.9C2^3	320,1420
D₅×C₈○D₄	Direct product of D₅ and C₈○D₄	80	4	D5xC8oD4	320,1421
C₂₀.₇₂C₂⁴	19^th non-split extension by C₂₀ of C₂⁴ acting via C₂⁴/C₂³=C₂	80	4	C20.72C2^4	320,1422
D₄.₁₁D₂₀	1^st non-split extension by D₄ of D₂₀ acting through Inn(D₄)	80	4	D4.11D20	320,1423
D₄.₁₂D₂₀	2^nd non-split extension by D₄ of D₂₀ acting through Inn(D₄)	80	4+	D4.12D20	320,1424
C₂×D₅×D₈	Direct product of C₂, D₅ and D₈	80		C2xD5xD8	320,1426
C₂×D₈⋊D₅	Direct product of C₂ and D₈⋊D₅	80		C2xD8:D5	320,1427
D₈⋊₁₃D₁₀	2^nd semidirect product of D₈ and D₁₀ acting through Inn(D₈)	80	4	D8:13D10	320,1429
C₂×D₅×SD₁₆	Direct product of C₂, D₅ and SD₁₆	80		C2xD5xSD16	320,1430
C₂×D₄₀⋊C₂	Direct product of C₂ and D₄₀⋊C₂	80		C2xD40:C2	320,1431
D₂₀.₂₉D₄	12^nd non-split extension by D₂₀ of D₄ acting via D₄/C₄=C₂	80	4	D20.29D4	320,1434
D₅×C₄○D₈	Direct product of D₅ and C₄○D₈	80	4	D5xC4oD8	320,1439
Q₁₆⋊D₁₀	4^th semidirect product of Q₁₆ and D₁₀ acting via D₁₀/C₁₀=C₂	80	4	Q16:D10	320,1440
D₈⋊₁₅D₁₀	4^th semidirect product of D₈ and D₁₀ acting through Inn(D₈)	80	4+	D8:15D10	320,1441
D₈⋊₁₁D₁₀	5^th semidirect product of D₈ and D₁₀ acting via D₁₀/C₁₀=C₂	80	4	D8:11D10	320,1442
SD₁₆⋊D₁₀	2^nd semidirect product of SD₁₆ and D₁₀ acting via D₁₀/D₅=C₂	80	8-	SD16:D10	320,1445
D₈⋊₅D₁₀	5^th semidirect product of D₈ and D₁₀ acting via D₁₀/D₅=C₂	80	8+	D8:5D10	320,1446
D₈⋊₆D₁₀	6^th semidirect product of D₈ and D₁₀ acting via D₁₀/D₅=C₂	80	8-	D8:6D10	320,1447
D₅×C₈.C₂²	Direct product of D₅ and C₈.C₂²	80	8-	D5xC8.C2^2	320,1448
D₄₀⋊C₂²	3^rd semidirect product of D₄₀ and C₂² acting faithfully	80	8+	D40:C2^2	320,1449
C₄₀.C₂³	6^th non-split extension by C₄₀ of C₂³ acting faithfully	80	8+	C40.C2^3	320,1450
C₂⁴.₇₂D₁₀	12^nd non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₁₀=C₂	80		C2^4.72D10	320,1463
C₂×D₄.D₁₀	Direct product of C₂ and D₄.D₁₀	80		C2xD4.D10	320,1465
C₂⁴.₃₈D₁₀	38^th non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.38D10	320,1470
C₂×C₂³⋊D₁₀	Direct product of C₂ and C₂³⋊D₁₀	80		C2xC2^3:D10	320,1471
D₄×C₅⋊D₄	Direct product of D₄ and C₅⋊D₄	80		D4xC5:D4	320,1473
C₂⁴⋊₈D₁₀	7^th semidirect product of C₂⁴ and D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4:8D10	320,1476
C₂⁴.₄₁D₁₀	41^st non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.41D10	320,1477
C₂⁴.₄₂D₁₀	42^nd non-split extension by C₂⁴ of D₁₀ acting via D₁₀/C₅=C₂²	80		C2^4.42D10	320,1478
C₂₀.₇₆C₂⁴	23^rd non-split extension by C₂₀ of C₂⁴ acting via C₂⁴/C₂³=C₂	80	4	C20.76C2^4	320,1491
C₂×D₄⋊D₁₀	Direct product of C₂ and D₄⋊D₁₀	80		C2xD4:D10	320,1492
C₂₀.C₂⁴	35^th non-split extension by C₂₀ of C₂⁴ acting via C₂⁴/C₂²=C₂²	80	4	C20.C2^4	320,1494
(C₂×C₂₀)⋊₁₅D₄	11^st semidirect product of C₂×C₂₀ and D₄ acting via D₄/C₂=C₂²	80		(C2xC20):15D4	320,1500
C₁₀.₁₄₅2₊¹⁺⁴	54^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	80		C10.145ES+(2,2)	320,1501
C₁₀.₁₄₆2₊¹⁺⁴	55^th non-split extension by C₁₀ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	80		C10.146ES+(2,2)	320,1502
D₂₀.₃₂C₂³	13^rd non-split extension by D₂₀ of C₂³ acting via C₂³/C₂²=C₂	80	8+	D20.32C2^3	320,1507
D₂₀.₃₃C₂³	14^th non-split extension by D₂₀ of C₂³ acting via C₂³/C₂²=C₂	80	8-	D20.33C2^3	320,1508
D₂₀.₃₄C₂³	15^th non-split extension by D₂₀ of C₂³ acting via C₂³/C₂²=C₂	80	8+	D20.34C2^3	320,1509
C₂×C₂⁴⋊₂D₅	Direct product of C₂ and C₂⁴⋊₂D₅	80		C2xC2^4:2D5	320,1512
C₅×C₂².₁₁C₂⁴	Direct product of C₅ and C₂².₁₁C₂⁴	80		C5xC2^2.11C2^4	320,1520
C₁₀×C₂²≀C₂	Direct product of C₁₀ and C₂²≀C₂	80		C10xC2^2wrC2	320,1523
C₅×C₂².₁₉C₂⁴	Direct product of C₅ and C₂².₁₉C₂⁴	80		C5xC2^2.19C2^4	320,1527
C₅×C₂³⋊₃D₄	Direct product of C₅ and C₂³⋊₃D₄	80		C5xC2^3:3D4	320,1536
C₅×C₂².₂₉C₂⁴	Direct product of C₅ and C₂².₂₉C₂⁴	80		C5xC2^2.29C2^4	320,1537
C₅×C₂².₃₂C₂⁴	Direct product of C₅ and C₂².₃₂C₂⁴	80		C5xC2^2.32C2^4	320,1540
C₅×C₂³⋊₂Q₈	Direct product of C₅ and C₂³⋊₂Q₈	80		C5xC2^3:2Q8	320,1545
C₅×D₄²	Direct product of C₅, D₄ and D₄	80		C5xD4^2	320,1547
C₅×D₄⋊₅D₄	Direct product of C₅ and D₄⋊₅D₄	80		C5xD4:5D4	320,1548
C₅×C₂².₄₅C₂⁴	Direct product of C₅ and C₂².₄₅C₂⁴	80		C5xC2^2.45C2^4	320,1553
C₅×C₂².₅₄C₂⁴	Direct product of C₅ and C₂².₅₄C₂⁴	80		C5xC2^2.54C2^4	320,1562
C₅×C₂⁴⋊C₂²	Direct product of C₅ and C₂⁴⋊C₂²	80		C5xC2^4:C2^2	320,1563
C₅×Q₈○M₄(2)	Direct product of C₅ and Q₈○M₄(2)	80	4	C5xQ8oM4(2)	320,1570
C₁₀×C₈⋊C₂²	Direct product of C₁₀ and C₈⋊C₂²	80		C10xC8:C2^2	320,1575
C₅×D₈⋊C₂²	Direct product of C₅ and D₈⋊C₂²	80	4	C5xD8:C2^2	320,1577
C₅×D₄○D₈	Direct product of C₅ and D₄○D₈	80	4	C5xD4oD8	320,1578
C₅×D₄○SD₁₆	Direct product of C₅ and D₄○SD₁₆	80	4	C5xD4oSD16	320,1579
C₂×D₅⋊M₄(2)	Direct product of C₂ and D₅⋊M₄(2)	80		C2xD5:M4(2)	320,1589
C₂²×C₄×F₅	Direct product of C₂²×C₄ and F₅	80		C2^2xC4xF5	320,1590
C₂²×C₄⋊F₅	Direct product of C₂² and C₄⋊F₅	80		C2^2xC4:F5	320,1591
C₂×D₁₀.C₂³	Direct product of C₂ and D₁₀.C₂³	80		C2xD10.C2^3	320,1592
Dic₅.C₂⁴	18^th non-split extension by Dic₅ of C₂⁴ acting via C₂⁴/C₂³=C₂	80	8-	Dic5.C2^4	320,1594
Dic₅.₂₀C₂⁴	20^th non-split extension by Dic₅ of C₂⁴ acting via C₂⁴/C₂³=C₂	80	8+	Dic5.20C2^4	320,1598
C₂×Q₈×F₅	Direct product of C₂, Q₈ and F₅	80		C2xQ8xF5	320,1599
D₅.2_-¹⁺⁴	The non-split extension by D₅ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	80	8-	D5.ES-(2,2)	320,1600
Dic₅.₂₁C₂⁴	21^st non-split extension by Dic₅ of C₂⁴ acting via C₂⁴/C₂³=C₂	80	8	Dic5.21C2^4	320,1601
Dic₅.₂₂C₂⁴	22^nd non-split extension by Dic₅ of C₂⁴ acting via C₂⁴/C₂³=C₂	80	8	Dic5.22C2^4	320,1602
C₂²×C₂²⋊F₅	Direct product of C₂² and C₂²⋊F₅	80		C2^2xC2^2:F5	320,1607
C₂²×D₄×D₅	Direct product of C₂², D₄ and D₅	80		C2^2xD4xD5	320,1612
C₂×D₄⋊₆D₁₀	Direct product of C₂ and D₄⋊₆D₁₀	80		C2xD4:6D10	320,1614
C₂×D₅×C₄○D₄	Direct product of C₂, D₅ and C₄○D₄	80		C2xD5xC4oD4	320,1618
C₂×D₄⋊₈D₁₀	Direct product of C₂ and D₄⋊₈D₁₀	80		C2xD4:8D10	320,1619
C₁₀.C₂⁵	14^th non-split extension by C₁₀ of C₂⁵ acting via C₂⁵/C₂⁴=C₂	80	4	C10.C2^5	320,1621
D₂₀.₃₇C₂³	18^th non-split extension by D₂₀ of C₂³ acting via C₂³/C₂²=C₂	80	8-	D20.37C2^3	320,1623
D₅×2_-¹⁺⁴	Direct product of D₅ and 2_-¹⁺⁴	80	8-	D5xES-(2,2)	320,1624
D₂₀.₃₉C₂³	20^th non-split extension by D₂₀ of C₂³ acting via C₂³/C₂²=C₂	80	8+	D20.39C2^3	320,1625
C₁₀×2₊¹⁺⁴	Direct product of C₁₀ and 2₊¹⁺⁴	80		C10xES+(2,2)	320,1632
C₅×C₂.C₂⁵	Direct product of C₅ and C₂.C₂⁵	80	4	C5xC2.C2^5	320,1634
C₂⁴×F₅	Direct product of C₂⁴ and F₅	80		C2^4xF5	320,1638

Groups of order 400

		d	ρ	Label	ID
C₅×C₅⋊₂C₁₆	Direct product of C₅ and C₅⋊₂C₁₆	80	2	C5xC5:2C16	400,49
C₅×C₅⋊C₁₆	Direct product of C₅ and C₅⋊C₁₆	80	4	C5xC5:C16	400,56
C₅²⋊₃C₁₆	2^nd semidirect product of C₅² and C₁₆ acting via C₁₆/C₄=C₄	80	4	C5^2:3C16	400,57
C₅²⋊₅C₁₆	4^th semidirect product of C₅² and C₁₆ acting via C₁₆/C₄=C₄	80	4	C5^2:5C16	400,59
D₅×C₅⋊₂C₈	Direct product of D₅ and C₅⋊₂C₈	80	4	D5xC5:2C8	400,60
C₂₀.₃₀D₁₀	4^th non-split extension by C₂₀ of D₁₀ acting via D₁₀/D₅=C₂	80	4	C20.30D10	400,62
C₅²⋊₂D₈	1^st semidirect product of C₅² and D₈ acting via D₈/C₄=C₂²	80	4	C5^2:2D8	400,64
D₂₀.D₅	2^nd non-split extension by D₂₀ of D₅ acting via D₅/C₅=C₂	80	4	D20.D5	400,66
C₅²⋊₃SD₁₆	2^nd semidirect product of C₅² and SD₁₆ acting via SD₁₆/C₄=C₂²	80	4-	C5^2:3SD16	400,67
C₅²⋊₂Q₁₆	1^st semidirect product of C₅² and Q₁₆ acting via Q₁₆/C₄=C₂²	80	4	C5^2:2Q16	400,69
C₅²⋊₃Q₁₆	2^nd semidirect product of C₅² and Q₁₆ acting via Q₁₆/C₄=C₂²	80	4-	C5^2:3Q16	400,70
Dic₅²	Direct product of Dic₅ and Dic₅	80		Dic5^2	400,71
D₁₀⋊Dic₅	1^st semidirect product of D₁₀ and Dic₅ acting via Dic₅/C₁₀=C₂	80		D10:Dic5	400,72
Dic₅⋊Dic₅	1^st semidirect product of Dic₅ and Dic₅ acting via Dic₅/C₁₀=C₂	80		Dic5:Dic5	400,74
C₁₀.Dic₁₀	2^nd non-split extension by C₁₀ of Dic₁₀ acting via Dic₁₀/Dic₅=C₂	80		C10.Dic10	400,75
D₅×C₄₀	Direct product of C₄₀ and D₅	80	2	D5xC40	400,76
C₅×C₈⋊D₅	Direct product of C₅ and C₈⋊D₅	80	2	C5xC8:D5	400,77
C₅×C₄₀⋊C₂	Direct product of C₅ and C₄₀⋊C₂	80	2	C5xC40:C2	400,78
C₅×D₄₀	Direct product of C₅ and D₄₀	80	2	C5xD40	400,79
C₅×Dic₂₀	Direct product of C₅ and Dic₂₀	80	2	C5xDic20	400,80
C₁₀×C₅⋊₂C₈	Direct product of C₁₀ and C₅⋊₂C₈	80		C10xC5:2C8	400,81
Dic₅×C₂₀	Direct product of C₂₀ and Dic₅	80		Dic5xC20	400,83
C₅×C₁₀.D₄	Direct product of C₅ and C₁₀.D₄	80		C5xC10.D4	400,84
C₅×C₄⋊Dic₅	Direct product of C₅ and C₄⋊Dic₅	80		C5xC4:Dic5	400,85
C₅×D₁₀⋊C₄	Direct product of C₅ and D₁₀⋊C₄	80		C5xD10:C4	400,86
C₅×Q₈⋊D₅	Direct product of C₅ and Q₈⋊D₅	80	4	C5xQ8:D5	400,89
C₅×C₅⋊Q₁₆	Direct product of C₅ and C₅⋊Q₁₆	80	4	C5xC5:Q16	400,90
C₅²⋊C₁₆	The semidirect product of C₅² and C₁₆ acting via C₁₆/C₂=C₈	80	8-	C5^2:C16	400,116
Dic₅×F₅	Direct product of Dic₅ and F₅	80	8-	Dic5xF5	400,117
D₅.Dic₁₀	The non-split extension by D₅ of Dic₁₀ acting via Dic₁₀/Dic₅=C₂	80	8-	D5.Dic10	400,119
D₅×C₅⋊C₈	Direct product of D₅ and C₅⋊C₈	80	8-	D5xC5:C8	400,120
D₁₀.F₅	1^st non-split extension by D₁₀ of F₅ acting via F₅/D₅=C₂	80	8-	D10.F5	400,122
D₁₀.₂F₅	2^nd non-split extension by D₁₀ of F₅ acting via F₅/D₅=C₂	80	8-	D10.2F5	400,127
C₅²⋊₄M₄(2)	3^rd semidirect product of C₅² and M₄(2) acting via M₄(2)/C₂=C₂×C₄	80	8-	C5^2:4M4(2)	400,128
C₅²⋊Q₁₆	The semidirect product of C₅² and Q₁₆ acting via Q₁₆/C₂=D₄	80	4-	C5^2:Q16	400,133
C₅×D₅⋊C₈	Direct product of C₅ and D₅⋊C₈	80	4	C5xD5:C8	400,135
C₅×C₄.F₅	Direct product of C₅ and C₄.F₅	80	4	C5xC4.F5	400,136
C₂₀×F₅	Direct product of C₂₀ and F₅	80	4	C20xF5	400,137
C₅×C₄⋊F₅	Direct product of C₅ and C₄⋊F₅	80	4	C5xC4:F5	400,138
C₁₀×C₅⋊C₈	Direct product of C₁₀ and C₅⋊C₈	80		C10xC5:C8	400,139
C₂₀.₁₄F₅	3^rd non-split extension by C₂₀ of F₅ acting via F₅/D₅=C₂	80	4	C20.14F5	400,142
C₂₀.₁₂F₅	1^st non-split extension by C₂₀ of F₅ acting via F₅/D₅=C₂	80	4	C20.12F5	400,143
C₄×D₅.D₅	Direct product of C₄ and D₅.D₅	80	4	C4xD5.D5	400,144
C₂₀⋊₅F₅	1^st semidirect product of C₂₀ and F₅ acting via F₅/D₅=C₂	80	4	C20:5F5	400,145
C₂×C₅²⋊₃C₈	Direct product of C₂ and C₅²⋊₃C₈	80		C2xC5^2:3C8	400,146
C₂×C₅²⋊₅C₈	Direct product of C₂ and C₅²⋊₅C₈	80		C2xC5^2:5C8	400,160
D₅×Dic₁₀	Direct product of D₅ and Dic₁₀	80	4-	D5xDic10	400,163
D₂₀⋊₅D₅	The semidirect product of D₂₀ and D₅ acting through Inn(D₂₀)	80	4-	D20:5D5	400,164
C₂×D₅×Dic₅	Direct product of C₂, D₅ and Dic₅	80		C2xD5xDic5	400,172
C₂×C₅²⋊₂D₄	Direct product of C₂ and C₅²⋊₂D₄	80		C2xC5^2:2D4	400,176
C₂×C₅²⋊₂Q₈	Direct product of C₂ and C₅²⋊₂Q₈	80		C2xC5^2:2Q8	400,178
C₁₀×Dic₁₀	Direct product of C₁₀ and Dic₁₀	80		C10xDic10	400,181
D₅×C₂×C₂₀	Direct product of C₂×C₂₀ and D₅	80		D5xC2xC20	400,182
C₁₀×D₂₀	Direct product of C₁₀ and D₂₀	80		C10xD20	400,183
C₅×Q₈×D₅	Direct product of C₅, Q₈ and D₅	80	4	C5xQ8xD5	400,187
C₅×Q₈⋊₂D₅	Direct product of C₅ and Q₈⋊₂D₅	80	4	C5xQ8:2D5	400,188
Dic₅×C₂×C₁₀	Direct product of C₂×C₁₀ and Dic₅	80		Dic5xC2xC10	400,189
F₅×C₂×C₁₀	Direct product of C₂×C₁₀ and F₅	80		F5xC2xC10	400,214
C₂²×D₅.D₅	Direct product of C₂² and D₅.D₅	80		C2^2xD5.D5	400,215
D₅×C₂²×C₁₀	Direct product of C₂²×C₁₀ and D₅	80		D5xC2^2xC10	400,219

Groups of order 480

		d	ρ	Label	ID
(C₄×C₂₀)⋊C₆	1^st semidirect product of C₄×C₂₀ and C₆ acting faithfully	80	6	(C4xC20):C6	480,263
C₅×C₄²⋊C₆	Direct product of C₅ and C₄²⋊C₆	80	6	C5xC4^2:C6	480,657
C₂×C₂.S₅	Direct product of C₂ and C₂.S₅	80		C2xC2.S5	480,950
Dic₅.₆S₄	1^st non-split extension by Dic₅ of S₄ acting through Inn(Dic₅)	80	4	Dic5.6S4	480,968
Dic₅.₇S₄	2^nd non-split extension by Dic₅ of S₄ acting through Inn(Dic₅)	80	4+	Dic5.7S4	480,969
GL₂(𝔽₃)⋊D₅	1^st semidirect product of GL₂(𝔽₃) and D₅ acting via D₅/C₅=C₂	80	4+	GL(2,3):D5	480,970
D₅×CSU₂(𝔽₃)	Direct product of D₅ and CSU₂(𝔽₃)	80	4-	D5xCSU(2,3)	480,971
D₁₀.₁S₄	1^st non-split extension by D₁₀ of S₄ acting via S₄/A₄=C₂	80	4-	D10.1S4	480,972
D₁₀.₂S₄	2^nd non-split extension by D₁₀ of S₄ acting via S₄/A₄=C₂	80	4	D10.2S4	480,973
C₁₀×GL₂(𝔽₃)	Direct product of C₁₀ and GL₂(𝔽₃)	80		C10xGL(2,3)	480,1017
C₅×Q₈.D₆	Direct product of C₅ and Q₈.D₆	80	4	C5xQ8.D6	480,1018
C₅×C₄.₆S₄	Direct product of C₅ and C₄.₆S₄	80	2	C5xC4.6S4	480,1020
C₅×C₄.₃S₄	Direct product of C₅ and C₄.₃S₄	80	4	C5xC4.3S4	480,1021
C₂×Q₈⋊D₁₅	Direct product of C₂ and Q₈⋊D₁₅	80		C2xQ8:D15	480,1028
Q₈.D₃₀	2^nd non-split extension by Q₈ of D₃₀ acting via D₃₀/C₁₀=S₃	80	4	Q8.D30	480,1029
C₂₀.₆S₄	6^th non-split extension by C₂₀ of S₄ acting via S₄/A₄=C₂	80	4	C20.6S4	480,1031
C₂₀.₃S₄	3^rd non-split extension by C₂₀ of S₄ acting via S₄/A₄=C₂	80	4+	C20.3S4	480,1032
C₂×D₅×SL₂(𝔽₃)	Direct product of C₂, D₅ and SL₂(𝔽₃)	80		C2xD5xSL(2,3)	480,1039
SL₂(𝔽₃).₁₁D₁₀	1^st non-split extension by SL₂(𝔽₃) of D₁₀ acting through Inn(SL₂(𝔽₃))	80	4	SL(2,3).11D10	480,1040
D₅×C₄.A₄	Direct product of D₅ and C₄.A₄	80	4	D5xC4.A4	480,1042
D₂₀.A₄	The non-split extension by D₂₀ of A₄ acting through Inn(D₂₀)	80	4-	D20.A4	480,1043
C₅×D₄.A₄	Direct product of C₅ and D₄.A₄	80	4	C5xD4.A4	480,1132

On 81 points

Groups of order 81

		d	ρ	Label	ID
C₈₁	Cyclic group	81	1	C81	81,1
C₉²	Abelian group of type [9,9]	81		C9^2	81,2
C₉⋊C₉	The semidirect product of C₉ and C₉ acting via C₉/C₃=C₃	81		C9:C9	81,4
C₃×C₂₇	Abelian group of type [3,27]	81		C3xC27	81,5
C₃²×C₉	Abelian group of type [3,3,9]	81		C3^2xC9	81,11
C₃⁴	Elementary abelian group of type [3,3,3,3]	81		C3^4	81,15

Groups of order 162

		d	ρ	Label	ID
D₈₁	Dihedral group	81	2+	D81	162,1
C₉⋊D₉	The semidirect product of C₉ and D₉ acting via D₉/C₉=C₂	81		C9:D9	162,16
C₂₇⋊S₃	The semidirect product of C₂₇ and S₃ acting via S₃/C₃=C₂	81		C27:S3	162,18
C₃²⋊₄D₉	2^nd semidirect product of C₃² and D₉ acting via D₉/C₉=C₂	81		C3^2:4D9	162,45
C₃⁴⋊C₂	4^th semidirect product of C₃⁴ and C₂ acting faithfully	81		C3^4:C2	162,54

Groups of order 243

		d	ρ	Label	ID
C₃².₂₄He₃	1^st central stem extension by C₃² of He₃	81		C3^2.24He3	243,3
C₃³.C₃²	2^nd non-split extension by C₃³ of C₃² acting faithfully	81		C3^3.C3^2	243,4
C₃³.₃C₃²	3^rd non-split extension by C₃³ of C₃² acting faithfully	81		C3^3.3C3^2	243,5
C₃².₂₇He₃	4^th central stem extension by C₃² of He₃	81		C3^2.27He3	243,6
C₃².₂₈He₃	5^th central stem extension by C₃² of He₃	81		C3^2.28He3	243,7
C₃².₂₉He₃	6^th central stem extension by C₃² of He₃	81		C3^2.29He3	243,8
C₃³.₇C₃²	7^th non-split extension by C₃³ of C₃² acting faithfully	81		C3^3.7C3^2	243,9
C₃²⋊C₂₇	The semidirect product of C₃² and C₂₇ acting via C₂₇/C₉=C₃	81		C3^2:C27	243,12
C₃².₁₉He₃	3^rd central extension by C₃² of He₃	81		C3^2.19He3	243,14
C₃².₂₀He₃	4^th central extension by C₃² of He₃	81		C3^2.20He3	243,15
He₃⋊C₉	The semidirect product of He₃ and C₉ acting via C₉/C₃=C₃	81		He3:C9	243,17
3_-¹⁺²⋊C₉	The semidirect product of 3_-¹⁺² and C₉ acting via C₉/C₃=C₃	81		ES-(3,1):C9	243,18
C₉.₅He₃	3^rd central extension by C₉ of He₃	81	3	C9.5He3	243,19
C₉.₆He₃	4^th central extension by C₉ of He₃	81	3	C9.6He3	243,20
C₈₁⋊C₃	The semidirect product of C₈₁ and C₃ acting faithfully	81	3	C81:C3	243,24
C₃×C₃²⋊C₉	Direct product of C₃ and C₃²⋊C₉	81		C3xC3^2:C9	243,32
C₉²⋊₃C₃	3^rd semidirect product of C₉² and C₃ acting faithfully	81		C9^2:3C3	243,34
C₉×He₃	Direct product of C₉ and He₃	81		C9xHe3	243,35
C₉×3_-¹⁺²	Direct product of C₉ and 3_-¹⁺²	81		C9xES-(3,1)	243,36
C₉⋊He₃	The semidirect product of C₉ and He₃ acting via He₃/C₃²=C₃	81		C9:He3	243,39
C₃².₂₃C₃³	4^th central stem extension by C₃² of C₃³	81		C3^2.23C3^3	243,40
C₉⋊3_-¹⁺²	The semidirect product of C₉ and 3_-¹⁺² acting via 3_-¹⁺²/C₃²=C₃	81		C9:ES-(3,1)	243,41
C₃³.₃₁C₃²	14^th non-split extension by C₃³ of C₃² acting via C₃²/C₃=C₃	81		C3^3.31C3^2	243,42
C₉²⋊₇C₃	7^th semidirect product of C₉² and C₃ acting faithfully	81		C9^2:7C3	243,43
C₉²⋊₄C₃	4^th semidirect product of C₉² and C₃ acting faithfully	81		C9^2:4C3	243,44
C₉²⋊₅C₃	5^th semidirect product of C₉² and C₃ acting faithfully	81		C9^2:5C3	243,45
C₉²⋊₈C₃	8^th semidirect product of C₉² and C₃ acting faithfully	81		C9^2:8C3	243,46
C₉²⋊₉C₃	9^th semidirect product of C₉² and C₃ acting faithfully	81		C9^2:9C3	243,47
C₃×C₂₇⋊C₃	Direct product of C₃ and C₂₇⋊C₃	81		C3xC27:C3	243,49
C₂₇○He₃	Central product of C₂₇ and He₃	81	3	C27oHe3	243,50
C₃×He₃.C₃	Direct product of C₃ and He₃.C₃	81		C3xHe3.C3	243,52
C₃×He₃⋊C₃	Direct product of C₃ and He₃⋊C₃	81		C3xHe3:C3	243,53
C₃×C₃.He₃	Direct product of C₃ and C₃.He₃	81		C3xC3.He3	243,54
C₃²×He₃	Direct product of C₃² and He₃	81		C3^2xHe3	243,62
C₃²×3_-¹⁺²	Direct product of C₃² and 3_-¹⁺²	81		C3^2xES-(3,1)	243,63
C₃×C₉○He₃	Direct product of C₃ and C₉○He₃	81		C3xC9oHe3	243,64

Groups of order 486

		d	ρ	Label	ID
C₃²⋊D₂₇	1^st semidirect product of C₃² and D₂₇ acting via D₂₇/C₉=S₃	81		C3^2:D27	486,17
He₃⋊C₁₈	The semidirect product of He₃ and C₁₈ acting via C₁₈/C₃=C₆	81		He3:C18	486,24
He₃⋊D₉	1^st semidirect product of He₃ and D₉ acting via D₉/C₃=S₃	81		He3:D9	486,25
He₃.C₁₈	1^st non-split extension by He₃ of C₁₈ acting via C₁₈/C₃=C₆	81	3	He3.C18	486,26
He₃.D₉	1^st non-split extension by He₃ of D₉ acting via D₉/C₃=S₃	81	6+	He3.D9	486,27
He₃.₂C₁₈	2^nd non-split extension by He₃ of C₁₈ acting via C₁₈/C₃=C₆	81	3	He3.2C18	486,28
He₃.₂D₉	2^nd non-split extension by He₃ of D₉ acting via D₉/C₃=S₃	81	6+	He3.2D9	486,29
C₈₁⋊C₆	The semidirect product of C₈₁ and C₆ acting faithfully	81	6+	C81:C6	486,34
(C₃×He₃)⋊S₃	2^nd semidirect product of C₃×He₃ and S₃ acting faithfully	81		(C3xHe3):S3	486,43
(C₃×He₃).S₃	4^th non-split extension by C₃×He₃ of S₃ acting faithfully	81		(C3xHe3).S3	486,44
C₃³.(C₃⋊S₃)	3^rd non-split extension by C₃³ of C₃⋊S₃ acting faithfully	81		C3^3.(C3:S3)	486,45
C₃²⋊C₉⋊₆S₃	6^th semidirect product of C₃²⋊C₉ and S₃ acting faithfully	81		C3^2:C9:6S3	486,46
C₃.(C₃³⋊S₃)	5^th non-split extension by C₃ of C₃³⋊S₃ acting via C₃³⋊S₃/C₃≀C₃=C₂	81		C3.(C3^3:S3)	486,47
C₃.(He₃⋊S₃)	3^rd non-split extension by C₃ of He₃⋊S₃ acting via He₃⋊S₃/He₃⋊C₃=C₂	81		C3.(He3:S3)	486,48
C₃²⋊C₉.₁₀S₃	10^th non-split extension by C₃²⋊C₉ of S₃ acting faithfully	81		C3^2:C9.10S3	486,49
(C₃×C₉)⋊₅D₉	5^th semidirect product of C₃×C₉ and D₉ acting via D₉/C₃=S₃	81		(C3xC9):5D9	486,53
(C₃×C₉)⋊₆D₉	6^th semidirect product of C₃×C₉ and D₉ acting via D₉/C₃=S₃	81		(C3xC9):6D9	486,54
He₃⋊₂D₉	2^nd semidirect product of He₃ and D₉ acting via D₉/C₃=S₃	81		He3:2D9	486,56
3_-¹⁺²⋊D₉	The semidirect product of 3_-¹⁺² and D₉ acting via D₉/C₃=S₃	81		ES-(3,1):D9	486,57
He₃.₃D₉	3^rd non-split extension by He₃ of D₉ acting via D₉/C₃=S₃	81	6+	He3.3D9	486,58
He₃.₄D₉	4^th non-split extension by He₃ of D₉ acting via D₉/C₃=S₃	81	6+	He3.4D9	486,59
C₃×He₃.C₆	Direct product of C₃ and He₃.C₆	81		C3xHe3.C6	486,118
C₃×He₃.₂C₆	Direct product of C₃ and He₃.₂C₆	81		C3xHe3.2C6	486,121
C₃³⋊D₉	5^th semidirect product of C₃³ and D₉ acting via D₉/C₃=S₃	81		C3^3:D9	486,137
C₉²⋊₃C₆	3^rd semidirect product of C₉² and C₆ acting faithfully	81		C9^2:3C6	486,141
He₃⋊₃D₉	1^st semidirect product of He₃ and D₉ acting via D₉/C₉=C₂	81		He3:3D9	486,142
C₉×He₃⋊C₂	Direct product of C₉ and He₃⋊C₂	81		C9xHe3:C2	486,143
C₉²⋊₉C₆	9^th semidirect product of C₉² and C₆ acting faithfully	81		C9^2:9C6	486,144
C₉⋊He₃⋊₂C₂	2^nd semidirect product of C₉⋊He₃ and C₂ acting faithfully	81		C9:He3:2C2	486,148
(C₃²×C₉)⋊C₆	12^nd semidirect product of C₃²×C₉ and C₆ acting faithfully	81		(C3^2xC9):C6	486,151
C₉²⋊₁₀C₆	10^th semidirect product of C₉² and C₆ acting faithfully	81		C9^2:10C6	486,154
C₉²⋊₄C₆	4^th semidirect product of C₉² and C₆ acting faithfully	81		C9^2:4C6	486,155
C₉²⋊₅C₆	5^th semidirect product of C₉² and C₆ acting faithfully	81		C9^2:5C6	486,157
C₉²⋊₁₁C₆	11^st semidirect product of C₉² and C₆ acting faithfully	81		C9^2:11C6	486,158
C₉²⋊₁₂C₆	12^nd semidirect product of C₉² and C₆ acting faithfully	81		C9^2:12C6	486,159
C₃³.₅D₉	5^th non-split extension by C₃³ of D₉ acting via D₉/C₃=S₃	81		C3^3.5D9	486,162
He₃.₅D₉	The non-split extension by He₃ of D₉ acting via D₉/C₉=C₂	81	6+	He3.5D9	486,163
He₃.₅C₁₈	The non-split extension by He₃ of C₁₈ acting via C₁₈/C₉=C₂	81	3	He3.5C18	486,164
C₃²⋊₄D₉⋊C₃	5^th semidirect product of C₃²⋊₄D₉ and C₃ acting faithfully	81		C3^2:4D9:C3	486,170
He₃⋊C₃⋊₃S₃	2^nd semidirect product of He₃⋊C₃ and S₃ acting via S₃/C₃=C₂	81		He3:C3:3S3	486,173
He₃.(C₃⋊S₃)	4^th non-split extension by He₃ of C₃⋊S₃ acting via C₃⋊S₃/C₃=S₃	81		He3.(C3:S3)	486,186
C₃⋊(He₃⋊S₃)	The semidirect product of C₃ and He₃⋊S₃ acting via He₃⋊S₃/He₃⋊C₃=C₂	81		C3:(He3:S3)	486,187
(C₃²×C₉).S₃	16^th non-split extension by C₃²×C₉ of S₃ acting faithfully	81		(C3^2xC9).S3	486,188
C₃²×He₃⋊C₂	Direct product of C₃² and He₃⋊C₂	81		C3^2xHe3:C2	486,230
C₃×He₃.₄C₆	Direct product of C₃ and He₃.₄C₆	81		C3xHe3.4C6	486,235
C₃⁴⋊₁₀C₆	10^th semidirect product of C₃⁴ and C₆ acting faithfully	81		C3^4:10C6	486,242
C₃⁴.₁₁S₃	11^st non-split extension by C₃⁴ of S₃ acting faithfully	81		C3^4.11S3	486,244
C₉○He₃⋊₃S₃	1^st semidirect product of C₉○He₃ and S₃ acting via S₃/C₃=C₂	81		C9oHe3:3S3	486,245

On 82 points

Groups of order 82

		d	ρ	Label	ID
C₈₂	Cyclic group	82	1	C82	82,2

Groups of order 164

		d	ρ	Label	ID
D₈₂	Dihedral group; = C₂×D₄₁	82	2+	D82	164,4

Groups of order 328

		d	ρ	Label	ID
C₂×C₄₁⋊C₄	Direct product of C₂ and C₄₁⋊C₄	82	4+	C2xC41:C4	328,13

Groups of order 410

		d	ρ	Label	ID
C₂×C₄₁⋊C₅	Direct product of C₂ and C₄₁⋊C₅	82	5	C2xC41:C5	410,2

On 83 points

Groups of order 83

		d	ρ	Label	ID
C₈₃	Cyclic group	83	1	C83	83,1

Groups of order 166

		d	ρ	Label	ID
D₈₃	Dihedral group	83	2+	D83	166,1

On 84 points

Groups of order 84

		d	ρ	Label	ID
C₇×Dic₃	Direct product of C₇ and Dic₃	84	2	C7xDic3	84,3
C₃×Dic₇	Direct product of C₃ and Dic₇	84	2	C3xDic7	84,4
Dic₂₁	Dicyclic group; = C₃ ⋊Dic₇	84	2-	Dic21	84,5
C₈₄	Cyclic group	84	1	C84	84,6
C₂×C₄₂	Abelian group of type [2,42]	84		C2xC42	84,15

Groups of order 168

		d	ρ	Label	ID
Dic₃×D₇	Direct product of Dic₃ and D₇	84	4-	Dic3xD7	168,12
S₃×Dic₇	Direct product of S₃ and Dic₇	84	4-	S3xDic7	168,13
D₂₁⋊C₄	The semidirect product of D₂₁ and C₄ acting via C₄/C₂=C₂	84	4+	D21:C4	168,14
C₂₁⋊D₄	1^st semidirect product of C₂₁ and D₄ acting via D₄/C₂=C₂²	84	4-	C21:D4	168,15
C₃⋊D₂₈	The semidirect product of C₃ and D₂₈ acting via D₂₈/D₁₄=C₂	84	4+	C3:D28	168,16
C₇⋊D₁₂	The semidirect product of C₇ and D₁₂ acting via D₁₂/D₆=C₂	84	4+	C7:D12	168,17
C₁₂×D₇	Direct product of C₁₂ and D₇	84	2	C12xD7	168,25
C₃×D₂₈	Direct product of C₃ and D₂₈	84	2	C3xD28	168,26
C₃×C₇⋊D₄	Direct product of C₃ and C₇⋊D₄	84	2	C3xC7:D4	168,28
S₃×C₂₈	Direct product of C₂₈ and S₃	84	2	S3xC28	168,30
C₇×D₁₂	Direct product of C₇ and D₁₂	84	2	C7xD12	168,31
C₇×C₃⋊D₄	Direct product of C₇ and C₃⋊D₄	84	2	C7xC3:D4	168,33
C₄×D₂₁	Direct product of C₄ and D₂₁	84	2	C4xD21	168,35
D₈₄	Dihedral group	84	2+	D84	168,36
C₂₁⋊₇D₄	1^st semidirect product of C₂₁ and D₄ acting via D₄/C₂²=C₂	84	2	C21:7D4	168,38
D₄×C₂₁	Direct product of C₂₁ and D₄	84	2	D4xC21	168,40
C₂×C₆×D₇	Direct product of C₂×C₆ and D₇	84		C2xC6xD7	168,54
S₃×C₂×C₁₄	Direct product of C₂×C₁₄ and S₃	84		S3xC2xC14	168,55
C₂²×D₂₁	Direct product of C₂² and D₂₁	84		C2^2xD21	168,56

Groups of order 252

		d	ρ	Label	ID
C₃×C₇⋊C₁₂	Direct product of C₃ and C₇⋊C₁₂	84	6	C3xC7:C12	252,16
Dic₃×C₇⋊C₃	Direct product of Dic₃ and C₇⋊C₃	84	6	Dic3xC7:C3	252,17
C₆.F₇	The non-split extension by C₆ of F₇ acting via F₇/C₇⋊C₃=C₂	84	6-	C6.F7	252,18
C₁₂×C₇⋊C₃	Direct product of C₁₂ and C₇⋊C₃	84	3	C12xC7:C3	252,19
Dic₃×C₂₁	Direct product of C₂₁ and Dic₃	84	2	Dic3xC21	252,21
C₃×Dic₂₁	Direct product of C₃ and Dic₂₁	84	2	C3xDic21	252,22
C₂×C₆×C₇⋊C₃	Direct product of C₂×C₆ and C₇⋊C₃	84		C2xC6xC7:C3	252,38
A₄×C₂₁	Direct product of C₂₁ and A₄	84	3	A4xC21	252,39
C₃×C₇⋊A₄	Direct product of C₃ and C₇⋊A₄	84	3	C3xC7:A4	252,40
S₃×C₄₂	Direct product of C₄₂ and S₃	84	2	S3xC42	252,42
C₆×D₂₁	Direct product of C₆ and D₂₁	84	2	C6xD21	252,43

Groups of order 336

		d	ρ	Label	ID
C₇×C₄²⋊C₃	Direct product of C₇ and C₄²⋊C₃	84	3	C7xC4^2:C3	336,56
C₄²⋊(C₇⋊C₃)	The semidirect product of C₄² and C₇⋊C₃ acting via C₇⋊C₃/C₇=C₃	84	3	C4^2:(C7:C3)	336,57
C₇×A₄⋊C₄	Direct product of C₇ and A₄⋊C₄	84	3	C7xA4:C4	336,117
A₄⋊Dic₇	The semidirect product of A₄ and Dic₇ acting via Dic₇/C₁₄=C₂	84	6-	A4:Dic7	336,120
A₄×Dic₇	Direct product of A₄ and Dic₇	84	6-	A4xDic7	336,133
Dic₇⋊A₄	The semidirect product of Dic₇ and A₄ acting via A₄/C₂²=C₃	84	6-	Dic7:A4	336,136
C₄×S₃×D₇	Direct product of C₄, S₃ and D₇	84	4	C4xS3xD7	336,147
D₇×D₁₂	Direct product of D₇ and D₁₂	84	4+	D7xD12	336,148
S₃×D₂₈	Direct product of S₃ and D₂₈	84	4+	S3xD28	336,149
C₂₈⋊D₆	2^nd semidirect product of C₂₈ and D₆ acting via D₆/C₃=C₂²	84	4	C28:D6	336,150
D₇×C₃⋊D₄	Direct product of D₇ and C₃⋊D₄	84	4	D7xC3:D4	336,161
S₃×C₇⋊D₄	Direct product of S₃ and C₇⋊D₄	84	4	S3xC7:D4	336,162
D₆⋊D₁₄	4^th semidirect product of D₆ and D₁₄ acting via D₁₄/D₇=C₂	84	4+	D6:D14	336,163
A₄×C₂₈	Direct product of C₂₈ and A₄	84	3	A4xC28	336,168
C₄×C₇⋊A₄	Direct product of C₄ and C₇⋊A₄	84	3	C4xC7:A4	336,171
C₃×D₄×D₇	Direct product of C₃, D₄ and D₇	84	4	C3xD4xD7	336,178
S₃×C₇×D₄	Direct product of C₇, S₃ and D₄	84	4	S3xC7xD4	336,188
D₄×D₂₁	Direct product of D₄ and D₂₁	84	4+	D4xD21	336,198
C₂²×S₃×D₇	Direct product of C₂², S₃ and D₇	84		C2^2xS3xD7	336,219
A₄×C₂×C₁₄	Direct product of C₂×C₁₄ and A₄	84		A4xC2xC14	336,221
C₂²×C₇⋊A₄	Direct product of C₂² and C₇⋊A₄	84		C2^2xC7:A4	336,222
C₇×C₂²⋊A₄	Direct product of C₇ and C₂²⋊A₄	84		C7xC2^2:A4	336,223
C₇⋊(C₂²⋊A₄)	The semidirect product of C₇ and C₂²⋊A₄ acting via C₂²⋊A₄/C₂⁴=C₃	84		C7:(C2^2:A4)	336,224

On 85 points

Groups of order 85

		d	ρ	Label	ID
C₈₅	Cyclic group	85	1	C85	85,1

Groups of order 170

		d	ρ	Label	ID
D₅×C₁₇	Direct product of C₁₇ and D₅	85	2	D5xC17	170,1
C₅×D₁₇	Direct product of C₅ and D₁₇	85	2	C5xD17	170,2
D₈₅	Dihedral group	85	2+	D85	170,3

Groups of order 340

		d	ρ	Label	ID
C₅×C₁₇⋊C₄	Direct product of C₅ and C₁₇⋊C₄	85	4	C5xC17:C4	340,5
C₈₅⋊C₄	3^rd semidirect product of C₈₅ and C₄ acting faithfully	85	4	C85:C4	340,6
C₁₇×F₅	Direct product of C₁₇ and F₅	85	4	C17xF5	340,7
C₁₇⋊₃F₅	The semidirect product of C₁₇ and F₅ acting via F₅/D₅=C₂	85	4	C17:3F5	340,8
C₁₇⋊F₅	1^st semidirect product of C₁₇ and F₅ acting via F₅/C₅=C₄	85	4+	C17:F5	340,9
C₈₅⋊₂C₄	2^nd semidirect product of C₈₅ and C₄ acting faithfully	85	4+	C85:2C4	340,10
D₅×D₁₇	Direct product of D₅ and D₁₇	85	4+	D5xD17	340,11

On 86 points

Groups of order 86

		d	ρ	Label	ID
C₈₆	Cyclic group	86	1	C86	86,2

Groups of order 172

		d	ρ	Label	ID
D₈₆	Dihedral group; = C₂×D₄₃	86	2+	D86	172,3

Groups of order 258

		d	ρ	Label	ID
C₂×C₄₃⋊C₃	Direct product of C₂ and C₄₃⋊C₃	86	3	C2xC43:C3	258,2

On 87 points

Groups of order 87

		d	ρ	Label	ID
C₈₇	Cyclic group	87	1	C87	87,1

Groups of order 174

		d	ρ	Label	ID
S₃×C₂₉	Direct product of C₂₉ and S₃	87	2	S3xC29	174,1
C₃×D₂₉	Direct product of C₃ and D₂₉	87	2	C3xD29	174,2
D₈₇	Dihedral group	87	2+	D87	174,3

Groups of order 348

		d	ρ	Label	ID
C₃×C₂₉⋊C₄	Direct product of C₃ and C₂₉⋊C₄	87	4	C3xC29:C4	348,5
C₈₇⋊C₄	1^st semidirect product of C₈₇ and C₄ acting faithfully	87	4	C87:C4	348,6
S₃×D₂₉	Direct product of S₃ and D₂₉	87	4+	S3xD29	348,7

On 88 points

Groups of order 88

		d	ρ	Label	ID
C₁₁⋊C₈	The semidirect product of C₁₁ and C₈ acting via C₈/C₄=C₂	88	2	C11:C8	88,1
C₈₈	Cyclic group	88	1	C88	88,2
Dic₂₂	Dicyclic group; = C₁₁ ⋊Q₈	88	2-	Dic22	88,3
C₂×Dic₁₁	Direct product of C₂ and Dic₁₁	88		C2xDic11	88,6
C₂×C₄₄	Abelian group of type [2,44]	88		C2xC44	88,8
Q₈×C₁₁	Direct product of C₁₁ and Q₈	88	2	Q8xC11	88,10
C₂²×C₂₂	Abelian group of type [2,2,22]	88		C2^2xC22	88,12

Groups of order 176

		d	ρ	Label	ID
C₈×D₁₁	Direct product of C₈ and D₁₁	88	2	C8xD11	176,3
C₈₈⋊C₂	4^th semidirect product of C₈₈ and C₂ acting faithfully	88	2	C88:C2	176,4
C₈⋊D₁₁	2^nd semidirect product of C₈ and D₁₁ acting via D₁₁/C₁₁=C₂	88	2	C8:D11	176,5
D₈₈	Dihedral group	88	2+	D88	176,6
C₄₄.C₄	1^st non-split extension by C₄₄ of C₄ acting via C₄/C₂=C₂	88	2	C44.C4	176,9
D₂₂⋊C₄	The semidirect product of D₂₂ and C₄ acting via C₄/C₂=C₂	88		D22:C4	176,13
D₄⋊D₁₁	The semidirect product of D₄ and D₁₁ acting via D₁₁/C₁₁=C₂	88	4+	D4:D11	176,14
D₄.D₁₁	The non-split extension by D₄ of D₁₁ acting via D₁₁/C₁₁=C₂	88	4-	D4.D11	176,15
Q₈⋊D₁₁	The semidirect product of Q₈ and D₁₁ acting via D₁₁/C₁₁=C₂	88	4+	Q8:D11	176,16
C₂³.D₁₁	The non-split extension by C₂³ of D₁₁ acting via D₁₁/C₁₁=C₂	88		C2^3.D11	176,18
C₁₁×C₂²⋊C₄	Direct product of C₁₁ and C₂²⋊C₄	88		C11xC2^2:C4	176,20
C₁₁×M₄(2)	Direct product of C₁₁ and M₄(2)	88	2	C11xM4(2)	176,23
C₁₁×D₈	Direct product of C₁₁ and D₈	88	2	C11xD8	176,24
C₁₁×SD₁₆	Direct product of C₁₁ and SD₁₆	88	2	C11xSD16	176,25
C₂×C₄×D₁₁	Direct product of C₂×C₄ and D₁₁	88		C2xC4xD11	176,28
C₂×D₄₄	Direct product of C₂ and D₄₄	88		C2xD44	176,29
D₄₄⋊₅C₂	The semidirect product of D₄₄ and C₂ acting through Inn(D₄₄)	88	2	D44:5C2	176,30
D₄⋊₂D₁₁	The semidirect product of D₄ and D₁₁ acting through Inn(D₄)	88	4-	D4:2D11	176,32
Q₈×D₁₁	Direct product of Q₈ and D₁₁	88	4-	Q8xD11	176,33
D₄₄⋊C₂	4^th semidirect product of D₄₄ and C₂ acting faithfully	88	4+	D44:C2	176,34
C₂×C₁₁⋊D₄	Direct product of C₂ and C₁₁⋊D₄	88		C2xC11:D4	176,36
D₄×C₂₂	Direct product of C₂₂ and D₄	88		D4xC22	176,38
C₁₁×C₄○D₄	Direct product of C₁₁ and C₄○D₄	88	2	C11xC4oD4	176,40
C₂³×D₁₁	Direct product of C₂³ and D₁₁	88		C2^3xD11	176,41

Groups of order 264

		d	ρ	Label	ID
C₁₁×SL₂(𝔽₃)	Direct product of C₁₁ and SL₂(𝔽₃)	88	2	C11xSL(2,3)	264,12

Groups of order 352

		d	ρ	Label	ID
D₄₄⋊₁C₄	1^st semidirect product of D₄₄ and C₄ acting via C₄/C₂=C₂	88	2	D44:1C4	352,11
C₂².₂D₄₄	1^st non-split extension by C₂² of D₄₄ acting via D₄₄/D₂₂=C₂	88	4	C2^2.2D44	352,12
C₄₄.₄₆D₄	3^rd non-split extension by C₄₄ of D₄ acting via D₄/C₂²=C₂	88	4+	C44.46D4	352,29
D₄₄⋊₄C₄	4^th semidirect product of D₄₄ and C₄ acting via C₄/C₂=C₂	88	4	D44:4C4	352,31
C₄₄.D₄	8^th non-split extension by C₄₄ of D₄ acting via D₄/C₂=C₂²	88	4	C44.D4	352,39
C₂³⋊Dic₁₁	The semidirect product of C₂³ and Dic₁₁ acting via Dic₁₁/C₁₁=C₄	88	4	C2^3:Dic11	352,40
C₄₄.₅₆D₄	13^rd non-split extension by C₄₄ of D₄ acting via D₄/C₂²=C₂	88	4	C44.56D4	352,43
C₁₁×C₂³⋊C₄	Direct product of C₁₁ and C₂³⋊C₄	88	4	C11xC2^3:C4	352,48
C₁₁×C₄.D₄	Direct product of C₁₁ and C₄.D₄	88	4	C11xC4.D4	352,49
C₁₁×C₄≀C₂	Direct product of C₁₁ and C₄≀C₂	88	2	C11xC4wrC2	352,53
C₂²⋊C₄×D₁₁	Direct product of C₂²⋊C₄ and D₁₁	88		C2^2:C4xD11	352,75
C₂²⋊D₄₄	The semidirect product of C₂² and D₄₄ acting via D₄₄/D₂₂=C₂	88		C2^2:D44	352,77
M₄(2)×D₁₁	Direct product of M₄(2) and D₁₁	88	4	M4(2)xD11	352,101
C₈⋊D₂₂	1^st semidirect product of C₈ and D₂₂ acting via D₂₂/C₁₁=C₂²	88	4+	C8:D22	352,103
D₈×D₁₁	Direct product of D₈ and D₁₁	88	4+	D8xD11	352,105
D₄⋊D₂₂	2^nd semidirect product of D₄ and D₂₂ acting via D₂₂/D₁₁=C₂	88	4	D4:D22	352,106
SD₁₆×D₁₁	Direct product of SD₁₆ and D₁₁	88	4	SD16xD11	352,108
D₈₈⋊C₂	6^th semidirect product of D₈₈ and C₂ acting faithfully	88	4+	D88:C2	352,109
D₄₄⋊₆C₂²	4^th semidirect product of D₄₄ and C₂² acting via C₂²/C₂=C₂	88	4	D44:6C2^2	352,127
C₂³⋊D₂₂	1^st semidirect product of C₂³ and D₂₂ acting via D₂₂/C₁₁=C₂²	88		C2^3:D22	352,132
Q₈⋊D₂₂	2^nd semidirect product of Q₈ and D₂₂ acting via D₂₂/C₂₂=C₂	88	4+	Q8:D22	352,144
C₂⁴⋊D₁₁	1^st semidirect product of C₂⁴ and D₁₁ acting via D₁₁/C₁₁=C₂	88		C2^4:D11	352,148
C₁₁×C₂²≀C₂	Direct product of C₁₁ and C₂²≀C₂	88		C11xC2^2wrC2	352,155
C₁₁×C₈⋊C₂²	Direct product of C₁₁ and C₈⋊C₂²	88	4	C11xC8:C2^2	352,171
C₂×D₄×D₁₁	Direct product of C₂, D₄ and D₁₁	88		C2xD4xD11	352,177
D₄⋊₆D₂₂	2^nd semidirect product of D₄ and D₂₂ acting through Inn(D₄)	88	4	D4:6D22	352,179
C₄○D₄×D₁₁	Direct product of C₄○D₄ and D₁₁	88	4	C4oD4xD11	352,183
D₄⋊₈D₂₂	4^th semidirect product of D₄ and D₂₂ acting through Inn(D₄)	88	4+	D4:8D22	352,184
C₁₁×2₊¹⁺⁴	Direct product of C₁₁ and 2₊¹⁺⁴	88	4	C11xES+(2,2)	352,192

Groups of order 440

		d	ρ	Label	ID
C₁₁⋊C₄₀	The semidirect product of C₁₁ and C₄₀ acting via C₄₀/C₄=C₁₀	88	10	C11:C40	440,1
C₈×C₁₁⋊C₅	Direct product of C₈ and C₁₁⋊C₅	88	5	C8xC11:C5	440,2
C₄.F₁₁	The non-split extension by C₄ of F₁₁ acting via F₁₁/C₁₁⋊C₅=C₂	88	10-	C4.F11	440,7
C₂×C₁₁⋊C₂₀	Direct product of C₂ and C₁₁⋊C₂₀	88		C2xC11:C20	440,10
C₂×C₄×C₁₁⋊C₅	Direct product of C₂×C₄ and C₁₁⋊C₅	88		C2xC4xC11:C5	440,12
Q₈×C₁₁⋊C₅	Direct product of Q₈ and C₁₁⋊C₅	88	10	Q8xC11:C5	440,14
C₂³×C₁₁⋊C₅	Direct product of C₂³ and C₁₁⋊C₅	88		C2^3xC11:C5	440,44

On 89 points

Groups of order 89

		d	ρ	Label	ID
C₈₉	Cyclic group	89	1	C89	89,1

Groups of order 178

		d	ρ	Label	ID
D₈₉	Dihedral group	89	2+	D89	178,1

Groups of order 356

		d	ρ	Label	ID
C₈₉⋊C₄	The semidirect product of C₈₉ and C₄ acting faithfully	89	4+	C89:C4	356,3

On 90 points

Groups of order 90

		d	ρ	Label	ID
C₉₀	Cyclic group	90	1	C90	90,4
C₃×C₃₀	Abelian group of type [3,30]	90		C3xC30	90,10

Groups of order 180

		d	ρ	Label	ID
C₅×C₃.A₄	Direct product of C₅ and C₃.A₄	90	3	C5xC3.A4	180,8
D₅×C₁₈	Direct product of C₁₈ and D₅	90	2	D5xC18	180,9
C₁₀×D₉	Direct product of C₁₀ and D₉	90	2	C10xD9	180,10
D₉₀	Dihedral group; = C₂×D₄₅	90	2+	D90	180,11
D₅×C₃×C₆	Direct product of C₃×C₆ and D₅	90		D5xC3xC6	180,32
C₁₀×C₃⋊S₃	Direct product of C₁₀ and C₃⋊S₃	90		C10xC3:S3	180,35
C₂×C₃⋊D₁₅	Direct product of C₂ and C₃⋊D₁₅	90		C2xC3:D15	180,36

Groups of order 270

		d	ρ	Label	ID
C₁₅×D₉	Direct product of C₁₅ and D₉	90	2	C15xD9	270,8
S₃×C₄₅	Direct product of C₄₅ and S₃	90	2	S3xC45	270,9
C₃×D₄₅	Direct product of C₃ and D₄₅	90	2	C3xD45	270,12
C₉×D₁₅	Direct product of C₉ and D₁₅	90	2	C9xD15	270,13
C₁₀×He₃	Direct product of C₁₀ and He₃	90	3	C10xHe3	270,21
C₁₀×3_-¹⁺²	Direct product of C₁₀ and 3_-¹⁺²	90	3	C10xES-(3,1)	270,22
S₃×C₃×C₁₅	Direct product of C₃×C₁₅ and S₃	90		S3xC3xC15	270,24
C₃²×D₁₅	Direct product of C₃² and D₁₅	90		C3^2xD15	270,25
C₁₅×C₃⋊S₃	Direct product of C₁₅ and C₃⋊S₃	90		C15xC3:S3	270,26
C₃×C₃⋊D₁₅	Direct product of C₃ and C₃⋊D₁₅	90		C3xC3:D15	270,27

Groups of order 360

		d	ρ	Label	ID
C₅×C₃.S₄	Direct product of C₅ and C₃.S₄	90	6	C5xC3.S4	360,40
C₂²⋊D₄₅	The semidirect product of C₂² and D₄₅ acting via D₄₅/C₁₅=S₃	90	6+	C2^2:D45	360,41
D₅×C₃.A₄	Direct product of D₅ and C₃.A₄	90	6	D5xC3.A4	360,42
C₁₈×F₅	Direct product of C₁₈ and F₅	90	4	C18xF5	360,43
C₂×C₉⋊F₅	Direct product of C₂ and C₉⋊F₅	90	4	C2xC9:F5	360,44
C₂×D₅×D₉	Direct product of C₂, D₅ and D₉	90	4+	C2xD5xD9	360,45
C₁₀×C₃.A₄	Direct product of C₁₀ and C₃.A₄	90	3	C10xC3.A4	360,46
C₃×C₆×F₅	Direct product of C₃×C₆ and F₅	90		C3xC6xF5	360,145
C₂×C₃²⋊₃F₅	Direct product of C₂ and C₃²⋊₃F₅	90		C2xC3^2:3F5	360,147
C₂×D₅×C₃⋊S₃	Direct product of C₂, D₅ and C₃⋊S₃	90		C2xD5xC3:S3	360,152
A₄×C₃₀	Direct product of C₃₀ and A₄	90	3	A4xC30	360,156

Groups of order 450

		d	ρ	Label	ID
C₂×C₅²⋊C₉	Direct product of C₂ and C₅²⋊C₉	90	3	C2xC5^2:C9	450,13
D₅×C₄₅	Direct product of C₄₅ and D₅	90	2	D5xC45	450,14
C₅×D₄₅	Direct product of C₅ and D₄₅	90	2	C5xD45	450,17
C₆×C₅²⋊C₃	Direct product of C₆ and C₅²⋊C₃	90	3	C6xC5^2:C3	450,25
D₅×C₃×C₁₅	Direct product of C₃×C₁₅ and D₅	90		D5xC3xC15	450,26
C₅×C₃⋊D₁₅	Direct product of C₅ and C₃⋊D₁₅	90		C5xC3:D15	450,32

On 91 points

Groups of order 91

		d	ρ	Label	ID
C₉₁	Cyclic group	91	1	C91	91,1

Groups of order 182

		d	ρ	Label	ID
C₁₃×D₇	Direct product of C₁₃ and D₇	91	2	C13xD7	182,1
C₇×D₁₃	Direct product of C₇ and D₁₃	91	2	C7xD13	182,2
D₉₁	Dihedral group	91	2+	D91	182,3

Groups of order 273

		d	ρ	Label	ID
C₁₃×C₇⋊C₃	Direct product of C₁₃ and C₇⋊C₃	91	3	C13xC7:C3	273,1
C₇×C₁₃⋊C₃	Direct product of C₇ and C₁₃⋊C₃	91	3	C7xC13:C3	273,2
C₉₁⋊C₃	3^rd semidirect product of C₉₁ and C₃ acting faithfully	91	3	C91:C3	273,3
C₉₁⋊₄C₃	4^th semidirect product of C₉₁ and C₃ acting faithfully	91	3	C91:4C3	273,4

Groups of order 364

		d	ρ	Label	ID
C₇×C₁₃⋊C₄	Direct product of C₇ and C₁₃⋊C₄	91	4	C7xC13:C4	364,5
C₉₁⋊C₄	1^st semidirect product of C₉₁ and C₄ acting faithfully	91	4	C91:C4	364,6
D₇×D₁₃	Direct product of D₇ and D₁₃	91	4+	D7xD13	364,7

On 92 points

Groups of order 92

		d	ρ	Label	ID
Dic₂₃	Dicyclic group; = C₂₃ ⋊C₄	92	2-	Dic23	92,1
C₉₂	Cyclic group	92	1	C92	92,2
C₂×C₄₆	Abelian group of type [2,46]	92		C2xC46	92,4

Groups of order 184

		d	ρ	Label	ID
C₄×D₂₃	Direct product of C₄ and D₂₃	92	2	C4xD23	184,4
D₉₂	Dihedral group	92	2+	D92	184,5
C₂₃⋊D₄	The semidirect product of C₂₃ and D₄ acting via D₄/C₂²=C₂	92	2	C23:D4	184,7
D₄×C₂₃	Direct product of C₂₃ and D₄	92	2	D4xC23	184,9
C₂²×D₂₃	Direct product of C₂² and D₂₃	92		C2^2xD23	184,11

Groups of order 276

		d	ρ	Label	ID
A₄×C₂₃	Direct product of C₂₃ and A₄	92	3	A4xC23	276,6

Groups of order 368

		d	ρ	Label	ID
D₄×D₂₃	Direct product of D₄ and D₂₃	92	4+	D4xD23	368,31

On 93 points

Groups of order 93

		d	ρ	Label	ID
C₉₃	Cyclic group	93	1	C93	93,2

Groups of order 186

		d	ρ	Label	ID
S₃×C₃₁	Direct product of C₃₁ and S₃	93	2	S3xC31	186,3
C₃×D₃₁	Direct product of C₃ and D₃₁	93	2	C3xD31	186,4
D₉₃	Dihedral group	93	2+	D93	186,5

Groups of order 279

		d	ρ	Label	ID
C₃×C₃₁⋊C₃	Direct product of C₃ and C₃₁⋊C₃	93	3	C3xC31:C3	279,3

Groups of order 372

		d	ρ	Label	ID
S₃×D₃₁	Direct product of S₃ and D₃₁	93	4+	S3xD31	372,8

Groups of order 465

		d	ρ	Label	ID
C₃×C₃₁⋊C₅	Direct product of C₃ and C₃₁⋊C₅	93	5	C3xC31:C5	465,2

On 94 points

Groups of order 94

		d	ρ	Label	ID
C₉₄	Cyclic group	94	1	C94	94,2

Groups of order 188

		d	ρ	Label	ID
D₉₄	Dihedral group; = C₂×D₄₇	94	2+	D94	188,3

On 95 points

Groups of order 95

		d	ρ	Label	ID
C₉₅	Cyclic group	95	1	C95	95,1

Groups of order 190

		d	ρ	Label	ID
D₅×C₁₉	Direct product of C₁₉ and D₅	95	2	D5xC19	190,1
C₅×D₁₉	Direct product of C₅ and D₁₉	95	2	C5xD19	190,2
D₉₅	Dihedral group	95	2+	D95	190,3

Groups of order 285

		d	ρ	Label	ID
C₅×C₁₉⋊C₃	Direct product of C₅ and C₁₉⋊C₃	95	3	C5xC19:C3	285,1

Groups of order 380

		d	ρ	Label	ID
C₁₉×F₅	Direct product of C₁₉ and F₅	95	4	C19xF5	380,5
C₁₉⋊F₅	The semidirect product of C₁₉ and F₅ acting via F₅/D₅=C₂	95	4	C19:F5	380,6
D₅×D₁₉	Direct product of D₅ and D₁₉	95	4+	D5xD19	380,7

On 96 points

Groups of order 96

		d	ρ	Label	ID
C₃⋊C₃₂	The semidirect product of C₃ and C₃₂ acting via C₃₂/C₁₆=C₂	96	2	C3:C32	96,1
C₉₆	Cyclic group	96	1	C96	96,2
Dic₂₄	Dicyclic group; = C₃ ⋊₁ Q₃₂	96	2-	Dic24	96,8
C₄×C₃⋊C₈	Direct product of C₄ and C₃⋊C₈	96		C4xC3:C8	96,9
C₄².S₃	1^st non-split extension by C₄² of S₃ acting via S₃/C₃=C₂	96		C4^2.S3	96,10
C₁₂⋊C₈	1^st semidirect product of C₁₂ and C₈ acting via C₈/C₄=C₂	96		C12:C8	96,11
C₆.Q₁₆	1^st non-split extension by C₆ of Q₁₆ acting via Q₁₆/Q₈=C₂	96		C6.Q16	96,14
C₁₂.Q₈	2^nd non-split extension by C₁₂ of Q₈ acting via Q₈/C₂=C₂²	96		C12.Q8	96,15
C₆.SD₁₆	2^nd non-split extension by C₆ of SD₁₆ acting via SD₁₆/D₄=C₂	96		C6.SD16	96,17
C₂×C₃⋊C₁₆	Direct product of C₂ and C₃⋊C₁₆	96		C2xC3:C16	96,18
C₈×Dic₃	Direct product of C₈ and Dic₃	96		C8xDic3	96,20
Dic₃⋊C₈	The semidirect product of Dic₃ and C₈ acting via C₈/C₄=C₂	96		Dic3:C8	96,21
C₂₄⋊C₄	5^th semidirect product of C₂₄ and C₄ acting via C₄/C₂=C₂	96		C24:C4	96,22
C₂.Dic₁₂	1^st central extension by C₂ of Dic₁₂	96		C2.Dic12	96,23
C₈⋊Dic₃	2^nd semidirect product of C₈ and Dic₃ acting via Dic₃/C₆=C₂	96		C8:Dic3	96,24
C₂₄⋊₁C₄	1^st semidirect product of C₂₄ and C₄ acting via C₄/C₂=C₂	96		C24:1C4	96,25
C₃⋊Q₃₂	The semidirect product of C₃ and Q₃₂ acting via Q₃₂/Q₁₆=C₂	96	4-	C3:Q32	96,36
C₆.C₄²	5^th non-split extension by C₆ of C₄² acting via C₄²/C₂×C₄=C₂	96		C6.C4^2	96,38
Q₈⋊₂Dic₃	1^st semidirect product of Q₈ and Dic₃ acting via Dic₃/C₆=C₂	96		Q8:2Dic3	96,42
C₃×C₂.C₄²	Direct product of C₃ and C₂.C₄²	96		C3xC2.C4^2	96,45
C₄×C₂₄	Abelian group of type [4,24]	96		C4xC24	96,46
C₃×C₈⋊C₄	Direct product of C₃ and C₈⋊C₄	96		C3xC8:C4	96,47
C₃×Q₈⋊C₄	Direct product of C₃ and Q₈⋊C₄	96		C3xQ8:C4	96,53
C₃×C₄⋊C₈	Direct product of C₃ and C₄⋊C₈	96		C3xC4:C8	96,55
C₃×C₄.Q₈	Direct product of C₃ and C₄.Q₈	96		C3xC4.Q8	96,56
C₃×C₂.D₈	Direct product of C₃ and C₂.D₈	96		C3xC2.D8	96,57
C₂×C₄₈	Abelian group of type [2,48]	96		C2xC48	96,59
C₃×Q₃₂	Direct product of C₃ and Q₃₂	96	2	C3xQ32	96,63
C₄×Dic₆	Direct product of C₄ and Dic₆	96		C4xDic6	96,75
C₁₂⋊₂Q₈	1^st semidirect product of C₁₂ and Q₈ acting via Q₈/C₄=C₂	96		C12:2Q8	96,76
C₁₂.₆Q₈	3^rd non-split extension by C₁₂ of Q₈ acting via Q₈/C₄=C₂	96		C12.6Q8	96,77
Dic₆⋊C₄	5^th semidirect product of Dic₆ and C₄ acting via C₄/C₂=C₂	96		Dic6:C4	96,94
C₁₂⋊Q₈	The semidirect product of C₁₂ and Q₈ acting via Q₈/C₂=C₂²	96		C12:Q8	96,95
Dic₃.Q₈	The non-split extension by Dic₃ of Q₈ acting via Q₈/C₄=C₂	96		Dic3.Q8	96,96
C₄.Dic₆	3^rd non-split extension by C₄ of Dic₆ acting via Dic₆/Dic₃=C₂	96		C4.Dic6	96,97
C₂×Dic₁₂	Direct product of C₂ and Dic₁₂	96		C2xDic12	96,112
C₂²×C₃⋊C₈	Direct product of C₂² and C₃⋊C₈	96		C2^2xC3:C8	96,127
C₂×C₄×Dic₃	Direct product of C₂×C₄ and Dic₃	96		C2xC4xDic3	96,129
C₂×Dic₃⋊C₄	Direct product of C₂ and Dic₃⋊C₄	96		C2xDic3:C4	96,130
C₂×C₄⋊Dic₃	Direct product of C₂ and C₄⋊Dic₃	96		C2xC4:Dic3	96,132
C₂×C₃⋊Q₁₆	Direct product of C₂ and C₃⋊Q₁₆	96		C2xC3:Q16	96,150
Dic₃⋊Q₈	2^nd semidirect product of Dic₃ and Q₈ acting via Q₈/C₄=C₂	96		Dic3:Q8	96,151
Q₈×Dic₃	Direct product of Q₈ and Dic₃	96		Q8xDic3	96,152
C₂×C₄×C₁₂	Abelian group of type [2,4,12]	96		C2xC4xC12	96,161
C₆×C₄⋊C₄	Direct product of C₆ and C₄⋊C₄	96		C6xC4:C4	96,163
Q₈×C₁₂	Direct product of C₁₂ and Q₈	96		Q8xC12	96,166
C₃×C₄².C₂	Direct product of C₃ and C₄².C₂	96		C3xC4^2.C2	96,172
C₃×C₄⋊Q₈	Direct product of C₃ and C₄⋊Q₈	96		C3xC4:Q8	96,175
C₂²×C₂₄	Abelian group of type [2,2,24]	96		C2^2xC24	96,176
C₆×Q₁₆	Direct product of C₆ and Q₁₆	96		C6xQ16	96,181
C₂²×Dic₆	Direct product of C₂² and Dic₆	96		C2^2xDic6	96,205
C₂³×Dic₃	Direct product of C₂³ and Dic₃	96		C2^3xDic3	96,218
C₂³×C₁₂	Abelian group of type [2,2,2,12]	96		C2^3xC12	96,220
Q₈×C₂×C₆	Direct product of C₂×C₆ and Q₈	96		Q8xC2xC6	96,222
C₂⁴×C₆	Abelian group of type [2,2,2,2,6]	96		C2^4xC6	96,231

Groups of order 192

		d	ρ	Label	ID
S₃×C₃₂	Direct product of C₃₂ and S₃	96	2	S3xC32	192,5
C₉₆⋊C₂	6^th semidirect product of C₉₆ and C₂ acting faithfully	96	2	C96:C2	192,6
D₉₆	Dihedral group	96	2+	D96	192,7
C₃₂⋊S₃	2^nd semidirect product of C₃₂ and S₃ acting via S₃/C₃=C₂	96	2	C32:S3	192,8
C₄.₁₇D₂₄	2^nd central extension by C₄ of D₂₄	96		C4.17D24	192,18
C₄².D₆	1^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.D6	192,23
(C₂×Dic₃)⋊C₈	The semidirect product of C₂×Dic₃ and C₈ acting via C₈/C₂=C₄	96		(C2xDic3):C8	192,28
D₁₂⋊₂C₈	2^nd semidirect product of D₁₂ and C₈ acting via C₈/C₄=C₂	96		D12:2C8	192,42
C₄.D₂₄	1^st non-split extension by C₄ of D₂₄ acting via D₂₄/D₁₂=C₂	96		C4.D24	192,44
C₆.D₁₆	2^nd non-split extension by C₆ of D₁₆ acting via D₁₆/D₈=C₂	96		C6.D16	192,50
C₂₄.₇Q₈	7^th non-split extension by C₂₄ of Q₈ acting via Q₈/C₂=C₂²	96	4	C24.7Q8	192,52
C₂₄.₈D₄	8^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96	4-	C24.8D4	192,55
Dic₁₂.C₄	3^rd non-split extension by Dic₁₂ of C₄ acting via C₄/C₂=C₂	96	4	Dic12.C4	192,56
C₃⋊M₆(2)	The semidirect product of C₃ and M₆(2) acting via M₆(2)/C₂×C₁₆=C₂	96	2	C3:M6(2)	192,58
C₄₈.C₄	1^st non-split extension by C₄₈ of C₄ acting via C₄/C₂=C₂	96	2	C48.C4	192,65
D₆⋊C₁₆	The semidirect product of D₆ and C₁₆ acting via C₁₆/C₈=C₂	96		D6:C16	192,66
D₁₂.C₈	1^st non-split extension by D₁₂ of C₈ acting via C₈/C₄=C₂	96	2	D12.C8	192,67
C₂.D₄₈	2^nd central extension by C₂ of D₄₈	96		C2.D48	192,68
D₂₄.₁C₄	1^st non-split extension by D₂₄ of C₄ acting via C₄/C₂=C₂	96	2	D24.1C4	192,69
Dic₆.C₈	2^nd non-split extension by Dic₆ of C₈ acting via C₈/C₄=C₂	96	4	Dic6.C8	192,74
C₁₂.₄D₈	4^th non-split extension by C₁₂ of D₈ acting via D₈/C₄=C₂²	96	4-	C12.4D8	192,76
C₃⋊D₃₂	The semidirect product of C₃ and D₃₂ acting via D₃₂/D₁₆=C₂	96	4+	C3:D32	192,78
D₁₆.S₃	The non-split extension by D₁₆ of S₃ acting via S₃/C₃=C₂	96	4-	D16.S3	192,79
C₃⋊SD₆₄	The semidirect product of C₃ and SD₆₄ acting via SD₆₄/Q₃₂=C₂	96	4+	C3:SD64	192,80
(C₂×C₁₂)⋊C₈	1^st semidirect product of C₂×C₁₂ and C₈ acting via C₈/C₂=C₄	96		(C2xC12):C8	192,87
C₁₂.(C₄⋊C₄)	7^th non-split extension by C₁₂ of C₄⋊C₄ acting via C₄⋊C₄/C₂²=C₂²	96		C12.(C4:C4)	192,89
C₁₂.₅₇D₈	11^st non-split extension by C₁₂ of D₈ acting via D₈/D₄=C₂	96		C12.57D8	192,93
C₄².₇D₆	7^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.7D6	192,99
C₁₂.₉D₈	9^th non-split extension by C₁₂ of D₈ acting via D₈/C₄=C₂²	96		C12.9D8	192,103
C₂₄.₉₈D₄	21^st non-split extension by C₂₄ of D₄ acting via D₄/C₂²=C₂	96		C24.98D4	192,108
C₁₂.₁₀C₄²	3^rd non-split extension by C₁₂ of C₄² acting via C₄²/C₂×C₄=C₂	96		C12.10C4^2	192,111
M₄(2)⋊Dic₃	2^nd semidirect product of M₄(2) and Dic₃ acting via Dic₃/C₆=C₂	96		M4(2):Dic3	192,113
C₁₂.₄C₄²	4^th non-split extension by C₁₂ of C₄² acting via C₄²/C₂²=C₂²	96		C12.4C4^2	192,117
C₂₄.₉₉D₄	22^nd non-split extension by C₂₄ of D₄ acting via D₄/C₂²=C₂	96	4	C24.99D4	192,120
D₈⋊₁Dic₃	1^st semidirect product of D₈ and Dic₃ acting via Dic₃/C₆=C₂	96		D8:1Dic3	192,121
Q₁₆.Dic₃	2^nd non-split extension by Q₁₆ of Dic₃ acting via Dic₃/C₆=C₂	96	4	Q16.Dic3	192,124
C₂₄.₄₁D₄	41^st non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96	4	C24.41D4	192,126
C₃×C₂².M₄(2)	Direct product of C₃ and C₂².M₄(2)	96		C3xC2^2.M4(2)	192,130
C₃×D₄⋊C₈	Direct product of C₃ and D₄⋊C₈	96		C3xD4:C8	192,131
C₃×C₄².C₂²	Direct product of C₃ and C₄².C₂²	96		C3xC4^2.C2^2	192,135
C₃×C₄.D₈	Direct product of C₃ and C₄.D₈	96		C3xC4.D8	192,137
C₃×C₄.C₄²	Direct product of C₃ and C₄.C₄²	96		C3xC4.C4^2	192,147
C₃×C₂².C₄²	Direct product of C₃ and C₂².C₄²	96		C3xC2^2.C4^2	192,149
C₃×C₂²⋊C₁₆	Direct product of C₃ and C₂²⋊C₁₆	96		C3xC2^2:C16	192,154
C₃×D₄.C₈	Direct product of C₃ and D₄.C₈	96	2	C3xD4.C8	192,156
C₃×C₂.D₁₆	Direct product of C₃ and C₂.D₁₆	96		C3xC2.D16	192,163
C₃×D₈.C₄	Direct product of C₃ and D₈.C₄	96	2	C3xD8.C4	192,165
C₃×C₈.₁₇D₄	Direct product of C₃ and C₈.₁₇D₄	96	4	C3xC8.17D4	192,168
C₃×C₈.₄Q₈	Direct product of C₃ and C₈.₄Q₈	96	2	C3xC8.4Q8	192,174
C₃×M₆(2)	Direct product of C₃ and M₆(2)	96	2	C3xM6(2)	192,176
C₃×D₃₂	Direct product of C₃ and D₃₂	96	2	C3xD32	192,177
C₃×SD₆₄	Direct product of C₃ and SD₆₄	96	2	C3xSD64	192,178
S₃×C₂.C₄²	Direct product of S₃ and C₂.C₄²	96		S3xC2.C4^2	192,222
C₂².₅₈(S₃×D₄)	9^th central extension by C₂² of S₃×D₄	96		C2^2.58(S3xD4)	192,223
(C₂×C₄)⋊₉D₁₂	1^st semidirect product of C₂×C₄ and D₁₂ acting via D₁₂/D₆=C₂	96		(C2xC4):9D12	192,224
D₆⋊C₄²	1^st semidirect product of D₆ and C₄² acting via C₄²/C₂×C₄=C₂	96		D6:C4^2	192,225
D₆⋊(C₄⋊C₄)	1^st semidirect product of D₆ and C₄⋊C₄ acting via C₄⋊C₄/C₂×C₄=C₂	96		D6:(C4:C4)	192,226
D₆⋊C₄⋊C₄	2^nd semidirect product of D₆⋊C₄ and C₄ acting via C₄/C₂=C₂	96		D6:C4:C4	192,227
D₆⋊C₄⋊₅C₄	5^th semidirect product of D₆⋊C₄ and C₄ acting via C₄/C₂=C₂	96		D6:C4:5C4	192,228
D₆⋊C₄⋊₃C₄	3^rd semidirect product of D₆⋊C₄ and C₄ acting via C₄/C₂=C₂	96		D6:C4:3C4	192,229
(C₂×C₁₂)⋊₅D₄	1^st semidirect product of C₂×C₁₂ and D₄ acting via D₄/C₂=C₂²	96		(C2xC12):5D4	192,230
C₆.C₂²≀C₂	5^th non-split extension by C₆ of C₂²≀C₂ acting via C₂²≀C₂/C₂²⋊C₄=C₂	96		C6.C2^2wrC2	192,231
(C₂²×S₃)⋊Q₈	1^st semidirect product of C₂²×S₃ and Q₈ acting via Q₈/C₂=C₂²	96		(C2^2xS3):Q8	192,232
(C₂×C₄).₂₁D₁₂	14^th non-split extension by C₂×C₄ of D₁₂ acting via D₁₂/C₆=C₂²	96		(C2xC4).21D12	192,233
C₆.(C₄⋊D₄)	7^th non-split extension by C₆ of C₄⋊D₄ acting via C₄⋊D₄/C₂²⋊C₄=C₂	96		C6.(C4:D4)	192,234
(C₂²×C₄).₃₇D₆	21^st non-split extension by C₂²×C₄ of D₆ acting via D₆/C₃=C₂²	96		(C2^2xC4).37D6	192,235
(C₂×C₁₂).₃₃D₄	7^th non-split extension by C₂×C₁₂ of D₄ acting via D₄/C₂=C₂²	96		(C2xC12).33D4	192,236
S₃×C₄×C₈	Direct product of C₄×C₈ and S₃	96		S3xC4xC8	192,243
C₄².₂₈₂D₆	5^th central extension by C₄² of D₆	96		C4^2.282D6	192,244
C₈×D₁₂	Direct product of C₈ and D₁₂	96		C8xD12	192,245
C₄×C₈⋊S₃	Direct product of C₄ and C₈⋊S₃	96		C4xC8:S3	192,246
C₈⋊₆D₁₂	3^rd semidirect product of C₈ and D₁₂ acting via D₁₂/C₁₂=C₂	96		C8:6D12	192,247
D₆.C₄²	2^nd non-split extension by D₆ of C₄² acting via C₄²/C₂×C₄=C₂	96		D6.C4^2	192,248
C₄².₂₄₃D₆	2^nd non-split extension by C₄² of D₆ acting via D₆/C₆=C₂	96		C4^2.243D6	192,249
C₄×C₂₄⋊C₂	Direct product of C₄ and C₂₄⋊C₂	96		C4xC24:C2	192,250
C₄×D₂₄	Direct product of C₄ and D₂₄	96		C4xD24	192,251
C₈⋊₅D₁₂	2^nd semidirect product of C₈ and D₁₂ acting via D₁₂/C₁₂=C₂	96		C8:5D12	192,252
C₄.₅D₂₄	5^th non-split extension by C₄ of D₂₄ acting via D₂₄/C₂₄=C₂	96		C4.5D24	192,253
C₁₂⋊₄D₈	1^st semidirect product of C₁₂ and D₈ acting via D₈/C₈=C₂	96		C12:4D8	192,254
C₈.₈D₁₂	4^th non-split extension by C₈ of D₁₂ acting via D₁₂/C₁₂=C₂	96		C8.8D12	192,255
C₄².₂₆₄D₆	23^rd non-split extension by C₄² of D₆ acting via D₆/C₆=C₂	96		C4^2.264D6	192,256
S₃×C₈⋊C₄	Direct product of S₃ and C₈⋊C₄	96		S3xC8:C4	192,263
C₄².₁₈₂D₆	2^nd non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.182D6	192,264
C₈⋊₉D₁₂	3^rd semidirect product of C₈ and D₁₂ acting via D₁₂/D₆=C₂	96		C8:9D12	192,265
Dic₃⋊₅M₄(2)	The semidirect product of Dic₃ and M₄(2) acting through Inn(Dic₃)	96		Dic3:5M4(2)	192,266
D₆.₄C₄²	4^th non-split extension by D₆ of C₄² acting via C₄²/C₂×C₄=C₂	96		D6.4C4^2	192,267
C₄².₁₈₅D₆	5^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.185D6	192,268
C₄².₁₆D₆	16^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.16D6	192,269
D₂₄⋊C₄	3^rd semidirect product of D₂₄ and C₄ acting via C₄/C₂=C₂	96		D24:C4	192,270
C₈⋊D₁₂	1^st semidirect product of C₈ and D₁₂ acting via D₁₂/C₆=C₂²	96		C8:D12	192,271
C₄².₁₉D₆	19^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.19D6	192,272
C₄².₂₀D₆	20^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.20D6	192,273
C₈.D₁₂	1^st non-split extension by C₈ of D₁₂ acting via D₁₂/C₆=C₂²	96		C8.D12	192,274
Dic₃.₅M₄(2)	1^st non-split extension by Dic₃ of M₄(2) acting through Inn(Dic₃)	96		Dic3.5M4(2)	192,277
Dic₃.M₄(2)	2^nd non-split extension by Dic₃ of M₄(2) acting via M₄(2)/C₂×C₄=C₂	96		Dic3.M4(2)	192,278
C₂₄⋊C₄⋊C₂	12^nd semidirect product of C₂₄⋊C₄ and C₂ acting faithfully	96		C24:C4:C2	192,279
C₂³.₃₉D₁₂	5^th non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	96		C2^3.39D12	192,280
C₂³.₄₀D₁₂	6^th non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	96		C2^3.40D12	192,281
C₂³.₁₅D₁₂	3^rd non-split extension by C₂³ of D₁₂ acting via D₁₂/C₆=C₂²	96		C2^3.15D12	192,282
C₃⋊D₄⋊C₈	The semidirect product of C₃⋊D₄ and C₈ acting via C₈/C₄=C₂	96		C3:D4:C8	192,284
D₆⋊C₈⋊C₂	23^rd semidirect product of D₆⋊C₈ and C₂ acting faithfully	96		D6:C8:C2	192,286
D₆⋊₂M₄(2)	2^nd semidirect product of D₆ and M₄(2) acting via M₄(2)/C₈=C₂	96		D6:2M4(2)	192,287
Dic₃⋊M₄(2)	1^st semidirect product of Dic₃ and M₄(2) acting via M₄(2)/C₈=C₂	96		Dic3:M4(2)	192,288
C₃⋊C₈⋊₂₆D₄	8^th semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂²=C₂	96		C3:C8:26D4	192,289
D₁₂.₃₂D₄	2^nd non-split extension by D₁₂ of D₄ acting via D₄/C₂²=C₂	96		D12.32D4	192,292
D₁₂⋊₁₄D₄	2^nd semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	96		D12:14D4	192,293
C₂³.₄₃D₁₂	9^th non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	96		C2^3.43D12	192,294
C₂².D₂₄	3^rd non-split extension by C₂² of D₂₄ acting via D₂₄/D₁₂=C₂	96		C2^2.D24	192,295
C₂³.₁₈D₁₂	6^th non-split extension by C₂³ of D₁₂ acting via D₁₂/C₆=C₂²	96		C2^3.18D12	192,296
Dic₆⋊₁₄D₄	2^nd semidirect product of Dic₆ and D₄ acting via D₄/C₂²=C₂	96		Dic6:14D4	192,297
Dic₆.₃₂D₄	2^nd non-split extension by Dic₆ of D₄ acting via D₄/C₂²=C₂	96		Dic6.32D4	192,298
D₁₂.₇D₄	7^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	96	8-	D12.7D4	192,314
Dic₃⋊₄D₈	1^st semidirect product of Dic₃ and D₈ acting through Inn(Dic₃)	96		Dic3:4D8	192,315
D₄.S₃⋊C₄	1^st semidirect product of D₄.S₃ and C₄ acting via C₄/C₂=C₂	96		D4.S3:C4	192,316
Dic₃⋊₆SD₁₆	1^st semidirect product of Dic₃ and SD₁₆ acting through Inn(Dic₃)	96		Dic3:6SD16	192,317
Dic₃.D₈	1^st non-split extension by Dic₃ of D₈ acting via D₈/D₄=C₂	96		Dic3.D8	192,318
Dic₃.SD₁₆	1^st non-split extension by Dic₃ of SD₁₆ acting via SD₁₆/C₈=C₂	96		Dic3.SD16	192,319
D₄⋊Dic₆	2^nd semidirect product of D₄ and Dic₆ acting via Dic₆/Dic₃=C₂	96		D4:Dic6	192,320
Dic₆⋊₂D₄	2^nd semidirect product of Dic₆ and D₄ acting via D₄/C₂=C₂²	96		Dic6:2D4	192,321
D₄.Dic₆	1^st non-split extension by D₄ of Dic₆ acting via Dic₆/Dic₃=C₂	96		D4.Dic6	192,322
C₄⋊C₄.D₆	5^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₃=C₂²	96		C4:C4.D6	192,323
C₁₂⋊Q₈⋊C₂	4^th semidirect product of C₁₂⋊Q₈ and C₂ acting faithfully	96		C12:Q8:C2	192,324
D₄.₂Dic₆	2^nd non-split extension by D₄ of Dic₆ acting via Dic₆/Dic₃=C₂	96		D4.2Dic6	192,325
Dic₆.D₄	8^th non-split extension by Dic₆ of D₄ acting via D₄/C₂=C₂²	96		Dic6.D4	192,326
(C₂×C₈).₂₀₀D₆	9^th non-split extension by C₂×C₈ of D₆ acting via D₆/S₃=C₂	96		(C2xC8).200D6	192,327
D₄⋊(C₄×S₃)	2^nd semidirect product of D₄ and C₄×S₃ acting via C₄×S₃/D₆=C₂	96		D4:(C4xS3)	192,330
D₄⋊₂S₃⋊C₄	2^nd semidirect product of D₄⋊₂S₃ and C₄ acting via C₄/C₂=C₂	96		D4:2S3:C4	192,331
D₆.D₈	1^st non-split extension by D₆ of D₈ acting via D₈/D₄=C₂	96		D6.D8	192,333
D₆⋊D₈	1^st semidirect product of D₆ and D₈ acting via D₈/C₈=C₂	96		D6:D8	192,334
D₆.SD₁₆	1^st non-split extension by D₆ of SD₁₆ acting via SD₁₆/Q₈=C₂	96		D6.SD16	192,336
D₆⋊SD₁₆	1^st semidirect product of D₆ and SD₁₆ acting via SD₁₆/C₈=C₂	96		D6:SD16	192,337
D₆⋊C₈⋊₁₁C₂	11^st semidirect product of D₆⋊C₈ and C₂ acting faithfully	96		D6:C8:11C2	192,338
C₃⋊C₈⋊₁D₄	1^st semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂=C₂²	96		C3:C8:1D4	192,339
D₄⋊₃D₁₂	2^nd semidirect product of D₄ and D₁₂ acting via D₁₂/D₆=C₂	96		D4:3D12	192,340
C₃⋊C₈⋊D₄	2^nd semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂=C₂²	96		C3:C8:D4	192,341
D₄.D₁₂	2^nd non-split extension by D₄ of D₁₂ acting via D₁₂/D₆=C₂	96		D4.D12	192,342
C₂₄⋊₁C₄⋊C₂	9^th semidirect product of C₂₄⋊₁C₄ and C₂ acting faithfully	96		C24:1C4:C2	192,343
D₄⋊S₃⋊C₄	2^nd semidirect product of D₄⋊S₃ and C₄ acting via C₄/C₂=C₂	96		D4:S3:C4	192,344
D₁₂⋊₃D₄	3^rd semidirect product of D₁₂ and D₄ acting via D₄/C₂=C₂²	96		D12:3D4	192,345
D₁₂.D₄	9^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	96		D12.D4	192,346
Dic₃⋊₇SD₁₆	2^nd semidirect product of Dic₃ and SD₁₆ acting through Inn(Dic₃)	96		Dic3:7SD16	192,347
(C₂×C₈).D₆	173^rd non-split extension by C₂×C₈ of D₆ acting via D₆/C₃=C₂²	96		(C2xC8).D6	192,353
Dic₆.₁₁D₄	11^st non-split extension by Dic₆ of D₄ acting via D₄/C₂=C₂²	96		Dic6.11D4	192,357
Q₈⋊C₄⋊S₃	1^st semidirect product of Q₈⋊C₄ and S₃ acting via S₃/C₃=C₂	96		Q8:C4:S3	192,359
S₃×Q₈⋊C₄	Direct product of S₃ and Q₈⋊C₄	96		S3xQ8:C4	192,360
(S₃×Q₈)⋊C₄	2^nd semidirect product of S₃×Q₈ and C₄ acting via C₄/C₂=C₂	96		(S3xQ8):C4	192,361
Q₈⋊₇(C₄×S₃)	2^nd semidirect product of Q₈ and C₄×S₃ acting via C₄×S₃/D₆=C₂	96		Q8:7(C4xS3)	192,362
C₄⋊C₄.₁₅₀D₆	23^rd non-split extension by C₄⋊C₄ of D₆ acting via D₆/S₃=C₂	96		C4:C4.150D6	192,363
D₆.₁SD₁₆	1^st non-split extension by D₆ of SD₁₆ acting via SD₁₆/D₄=C₂	96		D6.1SD16	192,364
Q₈⋊₃D₁₂	1^st semidirect product of Q₈ and D₁₂ acting via D₁₂/D₆=C₂	96		Q8:3D12	192,365
D₆⋊₂SD₁₆	2^nd semidirect product of D₆ and SD₁₆ acting via SD₁₆/C₈=C₂	96		D6:2SD16	192,366
Q₈.₁₁D₁₂	1^st non-split extension by Q₈ of D₁₂ acting via D₁₂/D₆=C₂	96		Q8.11D12	192,367
D₆⋊Q₁₆	1^st semidirect product of D₆ and Q₁₆ acting via Q₁₆/Q₈=C₂	96		D6:Q16	192,368
Q₈⋊₄D₁₂	2^nd semidirect product of Q₈ and D₁₂ acting via D₁₂/D₆=C₂	96		Q8:4D12	192,369
D₆.Q₁₆	1^st non-split extension by D₆ of Q₁₆ acting via Q₁₆/Q₈=C₂	96		D6.Q16	192,370
C₃⋊(C₈⋊D₄)	The semidirect product of C₃ and C₈⋊D₄ acting via C₈⋊D₄/Q₈⋊C₄=C₂	96		C3:(C8:D4)	192,371
D₆⋊₁Q₁₆	1^st semidirect product of D₆ and Q₁₆ acting via Q₁₆/C₈=C₂	96		D6:1Q16	192,372
D₆⋊C₈.C₂	4^th non-split extension by D₆⋊C₈ of C₂ acting faithfully	96		D6:C8.C2	192,373
C₈⋊Dic₃⋊C₂	15^th semidirect product of C₈⋊Dic₃ and C₂ acting faithfully	96		C8:Dic3:C2	192,374
C₃⋊C₈.D₄	1^st non-split extension by C₃⋊C₈ of D₄ acting via D₄/C₂=C₂²	96		C3:C8.D4	192,375
Q₈⋊₃(C₄×S₃)	2^nd semidirect product of Q₈ and C₄×S₃ acting via C₄×S₃/Dic₃=C₂	96		Q8:3(C4xS3)	192,376
Dic₃⋊SD₁₆	1^st semidirect product of Dic₃ and SD₁₆ acting via SD₁₆/D₄=C₂	96		Dic3:SD16	192,377
D₁₂.₁₂D₄	12^nd non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	96		D12.12D4	192,378
S₃×C₄⋊C₈	Direct product of S₃ and C₄⋊C₈	96		S3xC4:C8	192,391
C₄².₂₀₀D₆	20^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.200D6	192,392
D₁₂⋊C₈	3^rd semidirect product of D₁₂ and C₈ acting via C₈/C₄=C₂	96		D12:C8	192,393
C₄².₂₀₂D₆	22^nd non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.202D6	192,394
D₆⋊₃M₄(2)	3^rd semidirect product of D₆ and M₄(2) acting via M₄(2)/C₈=C₂	96		D6:3M4(2)	192,395
C₁₂⋊M₄(2)	1^st semidirect product of C₁₂ and M₄(2) acting via M₄(2)/C₄=C₂²	96		C12:M4(2)	192,396
C₁₂⋊₂M₄(2)	2^nd semidirect product of C₁₂ and M₄(2) acting via M₄(2)/C₄=C₂²	96		C12:2M4(2)	192,397
C₄².₃₀D₆	30^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.30D6	192,398
C₄².₃₁D₆	31^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.31D6	192,399
C₁₂⋊SD₁₆	1^st semidirect product of C₁₂ and SD₁₆ acting via SD₁₆/C₄=C₂²	96		C12:SD16	192,400
D₁₂⋊₃Q₈	1^st semidirect product of D₁₂ and Q₈ acting via Q₈/C₄=C₂	96		D12:3Q8	192,401
C₄⋊D₂₄	The semidirect product of C₄ and D₂₄ acting via D₂₄/D₁₂=C₂	96		C4:D24	192,402
D₁₂.₁₉D₄	2^nd non-split extension by D₁₂ of D₄ acting via D₄/C₄=C₂	96		D12.19D4	192,403
C₄².₃₆D₆	36^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.36D6	192,404
D₁₂⋊₄Q₈	2^nd semidirect product of D₁₂ and Q₈ acting via Q₈/C₄=C₂	96		D12:4Q8	192,405
D₁₂.₃Q₈	1^st non-split extension by D₁₂ of Q₈ acting via Q₈/C₄=C₂	96		D12.3Q8	192,406
Dic₆⋊₈D₄	1^st semidirect product of Dic₆ and D₄ acting via D₄/C₄=C₂	96		Dic6:8D4	192,407
Dic₃⋊₈SD₁₆	3^rd semidirect product of Dic₃ and SD₁₆ acting through Inn(Dic₃)	96		Dic3:8SD16	192,411
S₃×C₄.Q₈	Direct product of S₃ and C₄.Q₈	96		S3xC4.Q8	192,418
(S₃×C₈)⋊C₄	4^th semidirect product of S₃×C₈ and C₄ acting via C₄/C₂=C₂	96		(S3xC8):C4	192,419
C₈⋊(C₄×S₃)	3^rd semidirect product of C₈ and C₄×S₃ acting via C₄×S₃/C₆=C₂²	96		C8:(C4xS3)	192,420
D₆.₂SD₁₆	2^nd non-split extension by D₆ of SD₁₆ acting via SD₁₆/D₄=C₂	96		D6.2SD16	192,421
D₆.₄SD₁₆	2^nd non-split extension by D₆ of SD₁₆ acting via SD₁₆/Q₈=C₂	96		D6.4SD16	192,422
C₈⋊₈D₁₂	2^nd semidirect product of C₈ and D₁₂ acting via D₁₂/D₆=C₂	96		C8:8D12	192,423
C₂₄⋊₇D₄	7^th semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:7D4	192,424
C₄.Q₈⋊S₃	9^th semidirect product of C₄.Q₈ and S₃ acting via S₃/C₃=C₂	96		C4.Q8:S3	192,425
C₈.₂D₁₂	2^nd non-split extension by C₈ of D₁₂ acting via D₁₂/C₆=C₂²	96		C8.2D12	192,426
C₆.(C₄○D₈)	22^nd non-split extension by C₆ of C₄○D₈ acting via C₄○D₈/SD₁₆=C₂	96		C6.(C4oD8)	192,427
D₂₄⋊₉C₄	9^th semidirect product of D₂₄ and C₄ acting via C₄/C₂=C₂	96		D24:9C4	192,428
D₁₂⋊Q₈	1^st semidirect product of D₁₂ and Q₈ acting via Q₈/C₂=C₂²	96		D12:Q8	192,429
D₁₂.Q₈	1^st non-split extension by D₁₂ of Q₈ acting via Q₈/C₂=C₂²	96		D12.Q8	192,430
Dic₃⋊₅D₈	2^nd semidirect product of Dic₃ and D₈ acting through Inn(Dic₃)	96		Dic3:5D8	192,431
S₃×C₂.D₈	Direct product of S₃ and C₂.D₈	96		S3xC2.D8	192,438
C₈.₂₇(C₄×S₃)	4^th non-split extension by C₈ of C₄×S₃ acting via C₄×S₃/D₆=C₂	96		C8.27(C4xS3)	192,439
C₈⋊S₃⋊C₄	2^nd semidirect product of C₈⋊S₃ and C₄ acting via C₄/C₂=C₂	96		C8:S3:C4	192,440
D₆.₅D₈	2^nd non-split extension by D₆ of D₈ acting via D₈/D₄=C₂	96		D6.5D8	192,441
D₆⋊₂D₈	2^nd semidirect product of D₆ and D₈ acting via D₈/C₈=C₂	96		D6:2D8	192,442
D₆.₂Q₁₆	2^nd non-split extension by D₆ of Q₁₆ acting via Q₁₆/Q₈=C₂	96		D6.2Q16	192,443
C₂.D₈⋊S₃	5^th semidirect product of C₂.D₈ and S₃ acting via S₃/C₃=C₂	96		C2.D8:S3	192,444
C₈⋊₃D₁₂	3^rd semidirect product of C₈ and D₁₂ acting via D₁₂/C₆=C₂²	96		C8:3D12	192,445
D₆⋊₂Q₁₆	2^nd semidirect product of D₆ and Q₁₆ acting via Q₁₆/C₈=C₂	96		D6:2Q16	192,446
C₂.D₈⋊₇S₃	7^th semidirect product of C₂.D₈ and S₃ acting via S₃/C₃=C₂	96		C2.D8:7S3	192,447
C₂₄⋊C₂⋊C₄	3^rd semidirect product of C₂₄⋊C₂ and C₄ acting via C₄/C₂=C₂	96		C24:C2:C4	192,448
D₁₂⋊₂Q₈	2^nd semidirect product of D₁₂ and Q₈ acting via Q₈/C₂=C₂²	96		D12:2Q8	192,449
D₁₂.₂Q₈	2^nd non-split extension by D₁₂ of Q₈ acting via Q₈/C₂=C₂²	96		D12.2Q8	192,450
C₂₄.₁₈D₄	18^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96	4-	C24.18D4	192,455
S₃×C₂×C₁₆	Direct product of C₂×C₁₆ and S₃	96		S3xC2xC16	192,458
C₂×D₆.C₈	Direct product of C₂ and D₆.C₈	96		C2xD6.C8	192,459
D₁₂.₄C₈	The non-split extension by D₁₂ of C₈ acting through Inn(D₁₂)	96	2	D12.4C8	192,460
C₂×D₄₈	Direct product of C₂ and D₄₈	96		C2xD48	192,461
C₂×C₄₈⋊C₂	Direct product of C₂ and C₄₈⋊C₂	96		C2xC48:C2	192,462
D₄₈⋊₇C₂	The semidirect product of D₄₈ and C₂ acting through Inn(D₄₈)	96	2	D48:7C2	192,463
C₁₆.₁₂D₆	9^th non-split extension by C₁₆ of D₆ acting via D₆/S₃=C₂	96	4	C16.12D6	192,466
C₁₆.D₆	1^st non-split extension by C₁₆ of D₆ acting via D₆/C₃=C₂²	96	4-	C16.D6	192,468
D₁₆⋊₃S₃	The semidirect product of D₁₆ and S₃ acting through Inn(D₁₆)	96	4-	D16:3S3	192,471
SD₃₂⋊S₃	2^nd semidirect product of SD₃₂ and S₃ acting via S₃/C₃=C₂	96	4-	SD32:S3	192,474
D₆.₂D₈	2^nd non-split extension by D₆ of D₈ acting via D₈/C₈=C₂	96	4	D6.2D8	192,475
S₃×Q₃₂	Direct product of S₃ and Q₃₂	96	4-	S3xQ32	192,476
Q₃₂⋊S₃	2^nd semidirect product of Q₃₂ and S₃ acting via S₃/C₃=C₂	96	4	Q32:S3	192,477
D₄₈⋊₅C₂	5^th semidirect product of D₄₈ and C₂ acting faithfully	96	4+	D48:5C2	192,478
C₄×C₄.Dic₃	Direct product of C₄ and C₄.Dic₃	96		C4xC4.Dic3	192,481
C₁₂⋊₇M₄(2)	1^st semidirect product of C₁₂ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	96		C12:7M4(2)	192,483
C₄².₂₈₅D₆	8^th central extension by C₄² of D₆	96		C4^2.285D6	192,484
C₄².₂₇₀D₆	29^th non-split extension by C₄² of D₆ acting via D₆/C₆=C₂	96		C4^2.270D6	192,485
C₄×D₆⋊C₄	Direct product of C₄ and D₆⋊C₄	96		C4xD6:C4	192,497
(C₂×C₄)⋊₆D₁₂	1^st semidirect product of C₂×C₄ and D₁₂ acting via D₁₂/C₁₂=C₂	96		(C2xC4):6D12	192,498
(C₂×C₄²)⋊₃S₃	2^nd semidirect product of C₂×C₄² and S₃ acting via S₃/C₃=C₂	96		(C2xC4^2):3S3	192,499
Dic₃×C₂²⋊C₄	Direct product of Dic₃ and C₂²⋊C₄	96		Dic3xC2^2:C4	192,500
C₂⁴.₅₅D₆	2^nd non-split extension by C₂⁴ of D₆ acting via D₆/S₃=C₂	96		C2^4.55D6	192,501
C₂⁴.₅₆D₆	3^rd non-split extension by C₂⁴ of D₆ acting via D₆/S₃=C₂	96		C2^4.56D6	192,502
C₂⁴.₁₄D₆	3^rd non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.14D6	192,503
C₂⁴.₁₅D₆	4^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.15D6	192,504
C₂⁴.₅₇D₆	4^th non-split extension by C₂⁴ of D₆ acting via D₆/S₃=C₂	96		C2^4.57D6	192,505
C₂³⋊₂Dic₆	1^st semidirect product of C₂³ and Dic₆ acting via Dic₆/C₆=C₂²	96		C2^3:2Dic6	192,506
C₂⁴.₁₇D₆	6^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.17D6	192,507
C₂⁴.₁₈D₆	7^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.18D6	192,508
C₂⁴.₅₈D₆	5^th non-split extension by C₂⁴ of D₆ acting via D₆/S₃=C₂	96		C2^4.58D6	192,509
C₂⁴.₁₉D₆	8^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.19D6	192,510
C₂⁴.₂₀D₆	9^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.20D6	192,511
C₂⁴.₂₁D₆	10^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.21D6	192,512
C₂⁴.₂₃D₆	12^nd non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.23D6	192,515
C₂⁴.₂₄D₆	13^rd non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.24D6	192,516
C₂⁴.₆₀D₆	7^th non-split extension by C₂⁴ of D₆ acting via D₆/S₃=C₂	96		C2^4.60D6	192,517
C₂⁴.₂₅D₆	14^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.25D6	192,518
C₂³⋊₃D₁₂	1^st semidirect product of C₂³ and D₁₂ acting via D₁₂/C₆=C₂²	96		C2^3:3D12	192,519
C₂⁴.₂₇D₆	16^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.27D6	192,520
C₄⋊C₄.₂₂₅D₆	3^rd non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.225D6	192,523
C₂×C₆.D₈	Direct product of C₂ and C₆.D₈	96		C2xC6.D8	192,524
C₄○D₁₂⋊C₄	3^rd semidirect product of C₄○D₁₂ and C₄ acting via C₄/C₂=C₂	96		C4oD12:C4	192,525
(C₂×C₆).₄₀D₈	17^th non-split extension by C₂×C₆ of D₈ acting via D₈/D₄=C₂	96		(C2xC6).40D8	192,526
C₄⋊C₄.₂₂₈D₆	6^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.228D6	192,527
C₄⋊C₄.₂₃₀D₆	8^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.230D6	192,529
C₄⋊C₄.₂₃₁D₆	9^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.231D6	192,530
C₄⋊(D₆⋊C₄)	The semidirect product of C₄ and D₆⋊C₄ acting via D₆⋊C₄/C₂²×S₃=C₂	96		C4:(D6:C4)	192,546
(C₂×D₁₂)⋊₁₀C₄	6^th semidirect product of C₂×D₁₂ and C₄ acting via C₄/C₂=C₂	96		(C2xD12):10C4	192,547
D₆⋊C₄⋊₆C₄	6^th semidirect product of D₆⋊C₄ and C₄ acting via C₄/C₂=C₂	96		D6:C4:6C4	192,548
D₆⋊C₄⋊₇C₄	7^th semidirect product of D₆⋊C₄ and C₄ acting via C₄/C₂=C₂	96		D6:C4:7C4	192,549
(C₂×C₄)⋊₃D₁₂	2^nd semidirect product of C₂×C₄ and D₁₂ acting via D₁₂/C₆=C₂²	96		(C2xC4):3D12	192,550
(C₂×C₁₂).₂₈₉D₄	263^rd non-split extension by C₂×C₁₂ of D₄ acting via D₄/C₂=C₂²	96		(C2xC12).289D4	192,551
(C₂×C₁₂).₂₉₀D₄	264^th non-split extension by C₂×C₁₂ of D₄ acting via D₄/C₂=C₂²	96		(C2xC12).290D4	192,552
(C₂×C₁₂).₅₆D₄	30^th non-split extension by C₂×C₁₂ of D₄ acting via D₄/C₂=C₂²	96		(C2xC12).56D4	192,553
C₄⋊C₄.₂₃₂D₆	10^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.232D6	192,554
C₄⋊C₄.₂₃₃D₆	11^st non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.233D6	192,555
C₁₂.₅C₄²	5^th non-split extension by C₁₂ of C₄² acting via C₄²/C₂²=C₂²	96		C12.5C4^2	192,556
C₄⋊C₄.₂₃₄D₆	12^nd non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.234D6	192,557
C₄².₄₃D₆	43^rd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.43D6	192,558
C₄².₁₈₇D₆	7^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.187D6	192,559
C₄.(C₂×D₁₂)	14^th non-split extension by C₄ of C₂×D₁₂ acting via C₂×D₁₂/C₂²×S₃=C₂	96		C4.(C2xD12)	192,561
C₄⋊C₄.₂₃₆D₆	14^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.236D6	192,562
C₄⋊C₄.₂₃₇D₆	15^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/C₆=C₂	96		C4:C4.237D6	192,563
C₁₂.₅₀D₈	4^th non-split extension by C₁₂ of D₈ acting via D₈/D₄=C₂	96		C12.50D8	192,566
C₁₂.₃₈SD₁₆	4^th non-split extension by C₁₂ of SD₁₆ acting via SD₁₆/D₄=C₂	96		C12.38SD16	192,567
D₄.₃Dic₆	The non-split extension by D₄ of Dic₆ acting via Dic₆/C₁₂=C₂	96		D4.3Dic6	192,568
D₄×C₃⋊C₈	Direct product of D₄ and C₃⋊C₈	96		D4xC3:C8	192,569
C₄².₄₇D₆	47^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.47D6	192,570
C₁₂⋊₃M₄(2)	3^rd semidirect product of C₁₂ and M₄(2) acting via M₄(2)/C₄=C₂²	96		C12:3M4(2)	192,571
C₄×D₄⋊S₃	Direct product of C₄ and D₄⋊S₃	96		C4xD4:S3	192,572
C₄².₄₈D₆	48^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.48D6	192,573
C₁₂⋊₇D₈	1^st semidirect product of C₁₂ and D₈ acting via D₈/D₄=C₂	96		C12:7D8	192,574
D₄.₁D₁₂	1^st non-split extension by D₄ of D₁₂ acting via D₁₂/C₁₂=C₂	96		D4.1D12	192,575
C₄×D₄.S₃	Direct product of C₄ and D₄.S₃	96		C4xD4.S3	192,576
C₄².₅₁D₆	51^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.51D6	192,577
D₄.₂D₁₂	2^nd non-split extension by D₄ of D₁₂ acting via D₁₂/C₁₂=C₂	96		D4.2D12	192,578
C₄×Q₈⋊₂S₃	Direct product of C₄ and Q₈⋊₂S₃	96		C4xQ8:2S3	192,584
C₄².₅₆D₆	56^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.56D6	192,585
Q₈⋊₂D₁₂	The semidirect product of Q₈ and D₁₂ acting via D₁₂/C₁₂=C₂	96		Q8:2D12	192,586
Q₈.₆D₁₂	1^st non-split extension by Q₈ of D₁₂ acting via D₁₂/C₁₂=C₂	96		Q8.6D12	192,587
(C₂×C₆).D₈	8^th non-split extension by C₂×C₆ of D₈ acting via D₈/C₄=C₂²	96		(C2xC6).D8	192,592
C₄⋊D₄.S₃	3^rd non-split extension by C₄⋊D₄ of S₃ acting via S₃/C₃=C₂	96		C4:D4.S3	192,593
C₆.Q₁₆⋊C₂	35^th semidirect product of C₆.Q₁₆ and C₂ acting faithfully	96		C6.Q16:C2	192,594
D₁₂⋊₁₇D₄	5^th semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	96		D12:17D4	192,596
C₃⋊C₈⋊₂₂D₄	4^th semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂²=C₂	96		C3:C8:22D4	192,597
C₄⋊D₄⋊S₃	4^th semidirect product of C₄⋊D₄ and S₃ acting via S₃/C₃=C₂	96		C4:D4:S3	192,598
Dic₆⋊₁₇D₄	5^th semidirect product of Dic₆ and D₄ acting via D₄/C₂²=C₂	96		Dic6:17D4	192,599
C₃⋊C₈⋊₂₃D₄	5^th semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂²=C₂	96		C3:C8:23D4	192,600
C₃⋊C₈⋊₅D₄	5^th semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂=C₂²	96		C3:C8:5D4	192,601
(C₂×Q₈).₄₉D₆	25^th non-split extension by C₂×Q₈ of D₆ acting via D₆/C₃=C₂²	96		(C2xQ8).49D6	192,602
(C₂×C₆).Q₁₆	5^th non-split extension by C₂×C₆ of Q₁₆ acting via Q₁₆/C₄=C₂²	96		(C2xC6).Q16	192,603
(C₂×Q₈).₅₁D₆	27^th non-split extension by C₂×Q₈ of D₆ acting via D₆/C₃=C₂²	96		(C2xQ8).51D6	192,604
D₁₂.₃₇D₄	7^th non-split extension by D₁₂ of D₄ acting via D₄/C₂²=C₂	96		D12.37D4	192,606
C₃⋊C₈⋊₂₄D₄	6^th semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂²=C₂	96		C3:C8:24D4	192,607
C₃⋊C₈⋊₆D₄	6^th semidirect product of C₃⋊C₈ and D₄ acting via D₄/C₂=C₂²	96		C3:C8:6D4	192,608
Dic₆.₃₇D₄	7^th non-split extension by Dic₆ of D₄ acting via D₄/C₂²=C₂	96		Dic6.37D4	192,609
C₃⋊C₈.₂₉D₄	6^th non-split extension by C₃⋊C₈ of D₄ acting via D₄/C₂²=C₂	96		C3:C8.29D4	192,610
C₃⋊C₈.₆D₄	6^th non-split extension by C₃⋊C₈ of D₄ acting via D₄/C₂=C₂²	96		C3:C8.6D4	192,611
C₄².₆₁D₆	61^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.61D6	192,613
C₄².₆₂D₆	62^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.62D6	192,614
C₄².₂₁₃D₆	33^rd non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.213D6	192,615
D₁₂.₂₃D₄	6^th non-split extension by D₁₂ of D₄ acting via D₄/C₄=C₂	96		D12.23D4	192,616
C₄².₆₄D₆	64^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.64D6	192,617
C₄².₂₁₄D₆	34^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.214D6	192,618
C₄².₆₅D₆	65^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.65D6	192,619
D₁₂.₄Q₈	2^nd non-split extension by D₁₂ of Q₈ acting via Q₈/C₄=C₂	96		D12.4Q8	192,625
C₄².₇₀D₆	70^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.70D6	192,626
C₄².₂₁₆D₆	36^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.216D6	192,627
C₁₂.₁₆D₈	16^th non-split extension by C₁₂ of D₈ acting via D₈/C₄=C₂²	96		C12.16D8	192,629
C₄².₇₂D₆	72^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.72D6	192,630
C₁₂⋊₂D₈	2^nd semidirect product of C₁₂ and D₈ acting via D₈/C₄=C₂²	96		C12:2D8	192,631
C₁₂⋊D₈	3^rd semidirect product of C₁₂ and D₈ acting via D₈/C₄=C₂²	96		C12:D8	192,632
C₄².₇₄D₆	74^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.74D6	192,633
Dic₆⋊₉D₄	2^nd semidirect product of Dic₆ and D₄ acting via D₄/C₄=C₂	96		Dic6:9D4	192,634
C₁₂⋊₄SD₁₆	4^th semidirect product of C₁₂ and SD₁₆ acting via SD₁₆/C₄=C₂²	96		C12:4SD16	192,635
C₁₂⋊₅SD₁₆	5^th semidirect product of C₁₂ and SD₁₆ acting via SD₁₆/C₄=C₂²	96		C12:5SD16	192,642
D₁₂⋊₅Q₈	3^rd semidirect product of D₁₂ and Q₈ acting via Q₈/C₄=C₂	96		D12:5Q8	192,643
C₁₂⋊₆SD₁₆	6^th semidirect product of C₁₂ and SD₁₆ acting via SD₁₆/C₄=C₂²	96		C12:6SD16	192,644
C₄².₈₀D₆	80^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.80D6	192,645
D₁₂⋊₆Q₈	4^th semidirect product of D₁₂ and Q₈ acting via Q₈/C₄=C₂	96		D12:6Q8	192,646
C₁₂.D₈	19^th non-split extension by C₁₂ of D₈ acting via D₈/C₄=C₂²	96		C12.D8	192,647
C₄².₈₂D₆	82^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.82D6	192,648
C₂×C₁₂.C₈	Direct product of C₂ and C₁₂.C₈	96		C2xC12.C8	192,656
C₁₂.₁₂C₄²	5^th non-split extension by C₁₂ of C₄² acting via C₄²/C₂×C₄=C₂	96		C12.12C4^2	192,660
Dic₃⋊C₈⋊C₂	2^nd semidirect product of Dic₃⋊C₈ and C₂ acting faithfully	96		Dic3:C8:C2	192,661
C₂³.₂₇D₁₂	1^st non-split extension by C₂³ of D₁₂ acting via D₁₂/C₁₂=C₂	96		C2^3.27D12	192,665
C₂×C₂₄.C₄	Direct product of C₂ and C₂₄.C₄	96		C2xC24.C4	192,666
C₂×D₆⋊C₈	Direct product of C₂ and D₆⋊C₈	96		C2xD6:C8	192,667
C₈×C₃⋊D₄	Direct product of C₈ and C₃⋊D₄	96		C8xC3:D4	192,668
(C₂²×C₈)⋊₇S₃	3^rd semidirect product of C₂²×C₈ and S₃ acting via S₃/C₃=C₂	96		(C2^2xC8):7S3	192,669
C₂₄⋊₃₃D₄	5^th semidirect product of C₂₄ and D₄ acting via D₄/C₂²=C₂	96		C24:33D4	192,670
C₂×C₂.D₂₄	Direct product of C₂ and C₂.D₂₄	96		C2xC2.D24	192,671
C₂³.₂₈D₁₂	2^nd non-split extension by C₂³ of D₁₂ acting via D₁₂/C₁₂=C₂	96		C2^3.28D12	192,672
C₂₄⋊₃₀D₄	2^nd semidirect product of C₂₄ and D₄ acting via D₄/C₂²=C₂	96		C24:30D4	192,673
C₂₄⋊₂₉D₄	1^st semidirect product of C₂₄ and D₄ acting via D₄/C₂²=C₂	96		C24:29D4	192,674
C₂₄.₈₂D₄	5^th non-split extension by C₂₄ of D₄ acting via D₄/C₂²=C₂	96		C24.82D4	192,675
Dic₃×M₄(2)	Direct product of Dic₃ and M₄(2)	96		Dic3xM4(2)	192,676
Dic₃⋊₄M₄(2)	2^nd semidirect product of Dic₃ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	96		Dic3:4M4(2)	192,677
C₁₂.₈₈(C₂×Q₈)	20^th non-split extension by C₁₂ of C₂×Q₈ acting via C₂×Q₈/C₂×C₄=C₂	96		C12.88(C2xQ8)	192,678
C₂³.₅₁D₁₂	17^th non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	96		C2^3.51D12	192,679
C₂³.₅₂D₁₂	18^th non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	96		C2^3.52D12	192,680
C₁₂.₇C₄²	7^th non-split extension by C₁₂ of C₄² acting via C₄²/C₂²=C₂²	96		C12.7C4^2	192,681
C₂×C₁₂.₅₃D₄	Direct product of C₂ and C₁₂.₅₃D₄	96		C2xC12.53D4	192,682
C₂₄⋊D₄	20^th semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:D4	192,686
C₂₄⋊₂₁D₄	21^st semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:21D4	192,687
D₆⋊C₈⋊₄₀C₂	40^th semidirect product of D₆⋊C₈ and C₂ acting faithfully	96		D6:C8:40C2	192,688
C₂³.₅₄D₁₂	20^th non-split extension by C₂³ of D₁₂ acting via D₁₂/D₆=C₂	96		C2^3.54D12	192,692
C₂₄⋊₂D₄	2^nd semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:2D4	192,693
C₂₄⋊₃D₄	3^rd semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:3D4	192,694
C₂×C₁₂.₄₇D₄	Direct product of C₂ and C₁₂.₄₇D₄	96		C2xC12.47D4	192,695
C₂₄.₄D₄	4^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96		C24.4D4	192,696
C₂₄.₇₈C₂³	24^th non-split extension by C₂₄ of C₂³ acting via C₂³/C₂²=C₂	96	4	C24.78C2^3	192,699
Q₈.₁₀D₁₂	5^th non-split extension by Q₈ of D₁₂ acting via D₁₂/C₁₂=C₂	96	4-	Q8.10D12	192,702
C₂×C₃⋊D₁₆	Direct product of C₂ and C₃⋊D₁₆	96		C2xC3:D16	192,705
C₂×D₈.S₃	Direct product of C₂ and D₈.S₃	96		C2xD8.S3	192,707
Dic₃×D₈	Direct product of Dic₃ and D₈	96		Dic3xD8	192,708
Dic₃⋊D₈	2^nd semidirect product of Dic₃ and D₈ acting via D₈/D₄=C₂	96		Dic3:D8	192,709
C₂₄⋊₅D₄	5^th semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:5D4	192,710
D₈⋊Dic₃	3^rd semidirect product of D₈ and Dic₃ acting via Dic₃/C₆=C₂	96		D8:Dic3	192,711
(C₆×D₈).C₂	8^th non-split extension by C₆×D₈ of C₂ acting faithfully	96		(C6xD8).C2	192,712
C₂₄⋊₁₁D₄	11^st semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:11D4	192,713
C₂₄.₂₂D₄	22^nd non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96		C24.22D4	192,714
D₆⋊₃D₈	3^rd semidirect product of D₆ and D₈ acting via D₈/C₈=C₂	96		D6:3D8	192,716
Dic₆⋊D₄	6^th semidirect product of Dic₆ and D₄ acting via D₄/C₂=C₂²	96		Dic6:D4	192,717
C₂₄⋊₁₂D₄	12^nd semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:12D4	192,718
Dic₃×SD₁₆	Direct product of Dic₃ and SD₁₆	96		Dic3xSD16	192,720
Dic₃⋊₃SD₁₆	2^nd semidirect product of Dic₃ and SD₁₆ acting via SD₁₆/D₄=C₂	96		Dic3:3SD16	192,721
Dic₃⋊₅SD₁₆	2^nd semidirect product of Dic₃ and SD₁₆ acting via SD₁₆/Q₈=C₂	96		Dic3:5SD16	192,722
SD₁₆⋊Dic₃	1^st semidirect product of SD₁₆ and Dic₃ acting via Dic₃/C₆=C₂	96		SD16:Dic3	192,723
(C₃×D₄).D₄	8^th non-split extension by C₃×D₄ of D₄ acting via D₄/C₂=C₂²	96		(C3xD4).D4	192,724
(C₃×Q₈).D₄	6^th non-split extension by C₃×Q₈ of D₄ acting via D₄/C₂=C₂²	96		(C3xQ8).D4	192,725
C₂₄.₃₁D₄	31^st non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96		C24.31D4	192,726
C₂₄.₄₃D₄	43^rd non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96		C24.43D4	192,727
D₆⋊₈SD₁₆	2^nd semidirect product of D₆ and SD₁₆ acting via SD₁₆/Q₈=C₂	96		D6:8SD16	192,729
C₂₄⋊₁₄D₄	14^th semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:14D4	192,730
D₁₂⋊₇D₄	7^th semidirect product of D₁₂ and D₄ acting via D₄/C₂=C₂²	96		D12:7D4	192,731
Dic₆.₁₆D₄	16^th non-split extension by Dic₆ of D₄ acting via D₄/C₂=C₂²	96		Dic6.16D4	192,732
C₂₄⋊₈D₄	8^th semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:8D4	192,733
C₂₄⋊₁₅D₄	15^th semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:15D4	192,734
C₂₄⋊₉D₄	9^th semidirect product of C₂₄ and D₄ acting via D₄/C₂=C₂²	96		C24:9D4	192,735
C₂×C₈.₆D₆	Direct product of C₂ and C₈.₆D₆	96		C2xC8.6D6	192,737
C₂₄.₂₇C₂³	20^th non-split extension by C₂₄ of C₂³ acting via C₂³/C₂=C₂²	96	4	C24.27C2^3	192,738
(C₂×Q₁₆)⋊S₃	2^nd semidirect product of C₂×Q₁₆ and S₃ acting via S₃/C₃=C₂	96		(C2xQ16):S3	192,744
D₆⋊₅Q₁₆	2^nd semidirect product of D₆ and Q₁₆ acting via Q₁₆/Q₈=C₂	96		D6:5Q16	192,745
D₁₂.₁₇D₄	17^th non-split extension by D₁₂ of D₄ acting via D₄/C₂=C₂²	96		D12.17D4	192,746
D₆⋊₃Q₁₆	3^rd semidirect product of D₆ and Q₁₆ acting via Q₁₆/C₈=C₂	96		D6:3Q16	192,747
C₂₄.₃₆D₄	36^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96		C24.36D4	192,748
C₂₄.₃₇D₄	37^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96		C24.37D4	192,749
C₂₄.₂₈D₄	28^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96		C24.28D4	192,750
C₂₄.₂₉D₄	29^th non-split extension by C₂₄ of D₄ acting via D₄/C₂=C₂²	96	4	C24.29D4	192,751
Q₁₆.D₆	3^rd non-split extension by Q₁₆ of D₆ acting via D₆/C₆=C₂	96	4	Q16.D6	192,753
D₈.₉D₆	4^th non-split extension by D₈ of D₆ acting via D₆/C₆=C₂	96	4-	D8.9D6	192,754
M₄(2).₁₆D₆	16^th non-split extension by M₄(2) of D₆ acting via D₆/C₃=C₂²	96	8-	M4(2).16D6	192,763
C₂×C₁₂.₅₅D₄	Direct product of C₂ and C₁₂.₅₅D₄	96		C2xC12.55D4	192,765
C₄×C₆.D₄	Direct product of C₄ and C₆.D₄	96		C4xC6.D4	192,768
C₂⁴.₇₃D₆	2^nd non-split extension by C₂⁴ of D₆ acting via D₆/C₆=C₂	96		C2^4.73D6	192,769
C₂⁴.₇₄D₆	3^rd non-split extension by C₂⁴ of D₆ acting via D₆/C₆=C₂	96		C2^4.74D6	192,770
C₂⁴.₇₅D₆	4^th non-split extension by C₂⁴ of D₆ acting via D₆/C₆=C₂	96		C2^4.75D6	192,771
C₂⁴.₇₆D₆	5^th non-split extension by C₂⁴ of D₆ acting via D₆/C₆=C₂	96		C2^4.76D6	192,772
C₂×D₄⋊Dic₃	Direct product of C₂ and D₄⋊Dic₃	96		C2xD4:Dic3	192,773
C₂⁴.₂₉D₆	18^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.29D6	192,779
C₂⁴.₃₀D₆	19^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.30D6	192,780
C₂⁴.₃₁D₆	20^th non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.31D6	192,781
C₂⁴.₃₂D₆	21^st non-split extension by C₂⁴ of D₆ acting via D₆/C₃=C₂²	96		C2^4.32D6	192,782
(C₆×Q₈)⋊₆C₄	2^nd semidirect product of C₆×Q₈ and C₄ acting via C₄/C₂=C₂	96		(C6xQ8):6C4	192,784
C₂×C₁₂.₁₀D₄	Direct product of C₂ and C₁₂.₁₀D₄	96		C2xC12.10D4	192,785
(C₃×Q₈)⋊₁₃D₄	1^st semidirect product of C₃×Q₈ and D₄ acting via D₄/C₂²=C₂	96		(C3xQ8):13D4	192,786
(C₂×C₆)⋊₈Q₁₆	2^nd semidirect product of C₂×C₆ and Q₁₆ acting via Q₁₆/Q₈=C₂	96		(C2xC6):8Q16	192,787
(C₂²×Q₈)⋊₉S₃	2^nd semidirect product of C₂²×Q₈ and S₃ acting via S₃/C₃=C₂	96		(C2^2xQ8):9S3	192,790
C₄○D₄⋊₃Dic₃	1^st semidirect product of C₄○D₄ and Dic₃ acting via Dic₃/C₆=C₂	96		C4oD4:3Dic3	192,791
C₄○D₄⋊₄Dic₃	2^nd semidirect product of C₄○D₄ and Dic₃ acting via Dic₃/C₆=C₂	96		C4oD4:4Dic3	192,792
(C₆×D₄).₁₁C₄	5^th non-split extension by C₆×D₄ of C₄ acting via C₄/C₂=C₂	96		(C6xD4).11C4	192,793
(C₃×D₄)⋊₁₄D₄	2^nd semidirect product of C₃×D₄ and D₄ acting via D₄/C₂²=C₂	96		(C3xD4):14D4	192,797
(C₃×D₄).₃₂D₄	2^nd non-split extension by C₃×D₄ of D₄ acting via D₄/C₂²=C₂	96		(C3xD4).32D4	192,798
C₁₂×C₂²⋊C₄	Direct product of C₁₂ and C₂²⋊C₄	96		C12xC2^2:C4	192,810
C₃×C₂³.₇Q₈	Direct product of C₃ and C₂³.₇Q₈	96		C3xC2^3.7Q8	192,813
C₃×C₂³.₃₄D₄	Direct product of C₃ and C₂³.₃₄D₄	96		C3xC2^3.34D4	192,814
C₃×C₂³.₈Q₈	Direct product of C₃ and C₂³.₈Q₈	96		C3xC2^3.8Q8	192,818
C₃×C₂³.₂₃D₄	Direct product of C₃ and C₂³.₂₃D₄	96		C3xC2^3.23D4	192,819
C₃×C₂⁴.C₂²	Direct product of C₃ and C₂⁴.C₂²	96		C3xC2^4.C2^2	192,821
C₃×C₂⁴.₃C₂²	Direct product of C₃ and C₂⁴.₃C₂²	96		C3xC2^4.3C2^2	192,823
C₃×C₂³⋊₂D₄	Direct product of C₃ and C₂³⋊₂D₄	96		C3xC2^3:2D4	192,825
C₃×C₂³⋊Q₈	Direct product of C₃ and C₂³⋊Q₈	96		C3xC2^3:Q8	192,826
C₃×C₂³.₁₀D₄	Direct product of C₃ and C₂³.₁₀D₄	96		C3xC2^3.10D4	192,827
C₃×C₂³.Q₈	Direct product of C₃ and C₂³.Q₈	96		C3xC2^3.Q8	192,829
C₃×C₂³.₁₁D₄	Direct product of C₃ and C₂³.₁₁D₄	96		C3xC2^3.11D4	192,830
C₃×C₂³.₄Q₈	Direct product of C₃ and C₂³.₄Q₈	96		C3xC2^3.4Q8	192,832
C₁₂×M₄(2)	Direct product of C₁₂ and M₄(2)	96		C12xM4(2)	192,837
C₃×C₈○₂M₄(2)	Direct product of C₃ and C₈○₂M₄(2)	96		C3xC8o2M4(2)	192,838
C₆×C₂²⋊C₈	Direct product of C₆ and C₂²⋊C₈	96		C6xC2^2:C8	192,839
C₃×(C₂²×C₈)⋊C₂	Direct product of C₃ and (C₂²×C₈)⋊C₂	96		C3x(C2^2xC8):C2	192,841
C₆×C₄.₁₀D₄	Direct product of C₆ and C₄.₁₀D₄	96		C6xC4.10D4	192,845
C₆×D₄⋊C₄	Direct product of C₆ and D₄⋊C₄	96		C6xD4:C4	192,847
C₃×C₂³.₂₄D₄	Direct product of C₃ and C₂³.₂₄D₄	96		C3xC2^3.24D4	192,849
C₃×C₂³.₃₆D₄	Direct product of C₃ and C₂³.₃₆D₄	96		C3xC2^3.36D4	192,850
C₃×C₂³.₃₈D₄	Direct product of C₃ and C₂³.₃₈D₄	96		C3xC2^3.38D4	192,852
C₃×C₄⋊M₄(2)	Direct product of C₃ and C₄⋊M₄(2)	96		C3xC4:M4(2)	192,856
C₃×C₄².₆C₂²	Direct product of C₃ and C₄².₆C₂²	96		C3xC4^2.6C2^2	192,857
C₃×C₂³.₂₅D₄	Direct product of C₃ and C₂³.₂₅D₄	96		C3xC2^3.25D4	192,860
C₃×M₄(2)⋊C₄	Direct product of C₃ and M₄(2)⋊C₄	96		C3xM4(2):C4	192,861
C₆×C₈.C₄	Direct product of C₆ and C₈.C₄	96		C6xC8.C4	192,862
C₃×C₄².₁₂C₄	Direct product of C₃ and C₄².₁₂C₄	96		C3xC4^2.12C4	192,864
C₃×C₄².₆C₄	Direct product of C₃ and C₄².₆C₄	96		C3xC4^2.6C4	192,865
C₃×C₄².₇C₂²	Direct product of C₃ and C₄².₇C₂²	96		C3xC4^2.7C2^2	192,866
D₄×C₂₄	Direct product of C₂₄ and D₄	96		D4xC24	192,867
C₃×C₈⋊₉D₄	Direct product of C₃ and C₈⋊₉D₄	96		C3xC8:9D4	192,868
C₃×C₈⋊₆D₄	Direct product of C₃ and C₈⋊₆D₄	96		C3xC8:6D4	192,869
C₁₂×D₈	Direct product of C₁₂ and D₈	96		C12xD8	192,870
C₁₂×SD₁₆	Direct product of C₁₂ and SD₁₆	96		C12xSD16	192,871
C₃×SD₁₆⋊C₄	Direct product of C₃ and SD₁₆⋊C₄	96		C3xSD16:C4	192,873
C₃×D₈⋊C₄	Direct product of C₃ and D₈⋊C₄	96		C3xD8:C4	192,875
C₃×Q₈⋊D₄	Direct product of C₃ and Q₈⋊D₄	96		C3xQ8:D4	192,881
C₃×D₄⋊D₄	Direct product of C₃ and D₄⋊D₄	96		C3xD4:D4	192,882
C₃×C₂²⋊Q₁₆	Direct product of C₃ and C₂²⋊Q₁₆	96		C3xC2^2:Q16	192,884
C₃×D₄.₇D₄	Direct product of C₃ and D₄.₇D₄	96		C3xD4.7D4	192,885
C₃×C₄⋊D₈	Direct product of C₃ and C₄⋊D₈	96		C3xC4:D8	192,892
C₃×C₄⋊SD₁₆	Direct product of C₃ and C₄⋊SD₁₆	96		C3xC4:SD16	192,893
C₃×D₄.D₄	Direct product of C₃ and D₄.D₄	96		C3xD4.D4	192,894
C₃×D₄.₂D₄	Direct product of C₃ and D₄.₂D₄	96		C3xD4.2D4	192,896
C₃×Q₈.D₄	Direct product of C₃ and Q₈.D₄	96		C3xQ8.D4	192,897
C₃×C₈⋊₈D₄	Direct product of C₃ and C₈⋊₈D₄	96		C3xC8:8D4	192,898
C₃×C₈⋊₇D₄	Direct product of C₃ and C₈⋊₇D₄	96		C3xC8:7D4	192,899
C₃×C₈.₁₈D₄	Direct product of C₃ and C₈.₁₈D₄	96		C3xC8.18D4	192,900
C₃×C₈⋊D₄	Direct product of C₃ and C₈⋊D₄	96		C3xC8:D4	192,901
C₃×C₈⋊₂D₄	Direct product of C₃ and C₈⋊₂D₄	96		C3xC8:2D4	192,902
C₃×C₈.D₄	Direct product of C₃ and C₈.D₄	96		C3xC8.D4	192,903
C₃×D₄.₅D₄	Direct product of C₃ and D₄.₅D₄	96	4	C3xD4.5D4	192,906
C₃×D₄⋊Q₈	Direct product of C₃ and D₄⋊Q₈	96		C3xD4:Q8	192,907
C₃×D₄⋊₂Q₈	Direct product of C₃ and D₄⋊₂Q₈	96		C3xD4:2Q8	192,909
C₃×D₄.Q₈	Direct product of C₃ and D₄.Q₈	96		C3xD4.Q8	192,911
C₃×C₂².D₈	Direct product of C₃ and C₂².D₈	96		C3xC2^2.D8	192,913
C₃×C₂³.₄₆D₄	Direct product of C₃ and C₂³.₄₆D₄	96		C3xC2^3.46D4	192,914
C₃×C₂³.₁₉D₄	Direct product of C₃ and C₂³.₁₉D₄	96		C3xC2^3.19D4	192,915
C₃×C₂³.₄₇D₄	Direct product of C₃ and C₂³.₄₇D₄	96		C3xC2^3.47D4	192,916
C₃×C₂³.₄₈D₄	Direct product of C₃ and C₂³.₄₈D₄	96		C3xC2^3.48D4	192,917
C₃×C₂³.₂₀D₄	Direct product of C₃ and C₂³.₂₀D₄	96		C3xC2^3.20D4	192,918
C₃×C₄.₄D₈	Direct product of C₃ and C₄.₄D₈	96		C3xC4.4D8	192,919
C₃×C₄².₇₈C₂²	Direct product of C₃ and C₄².₇₈C₂²	96		C3xC4^2.78C2^2	192,921
C₃×C₄².₂₈C₂²	Direct product of C₃ and C₄².₂₈C₂²	96		C3xC4^2.28C2^2	192,922
C₃×C₄².₂₉C₂²	Direct product of C₃ and C₄².₂₉C₂²	96		C3xC4^2.29C2^2	192,923
C₃×C₈⋊₅D₄	Direct product of C₃ and C₈⋊₅D₄	96		C3xC8:5D4	192,925
C₃×C₈⋊₄D₄	Direct product of C₃ and C₈⋊₄D₄	96		C3xC8:4D4	192,926
C₃×C₈.₁₂D₄	Direct product of C₃ and C₈.₁₂D₄	96		C3xC8.12D4	192,928
C₃×C₈⋊₃D₄	Direct product of C₃ and C₈⋊₃D₄	96		C3xC8:3D4	192,929
C₃×C₈.₂D₄	Direct product of C₃ and C₈.₂D₄	96		C3xC8.2D4	192,930
C₆×M₅(2)	Direct product of C₆ and M₅(2)	96		C6xM5(2)	192,936
C₃×D₄○C₁₆	Direct product of C₃ and D₄○C₁₆	96	2	C3xD4oC16	192,937
C₆×D₁₆	Direct product of C₆ and D₁₆	96		C6xD16	192,938
C₆×SD₃₂	Direct product of C₆ and SD₃₂	96		C6xSD32	192,939
C₃×C₄○D₁₆	Direct product of C₃ and C₄○D₁₆	96	2	C3xC4oD16	192,941
C₃×Q₃₂⋊C₂	Direct product of C₃ and Q₃₂⋊C₂	96	4	C3xQ32:C2	192,943
C₄².₂₇₄D₆	33^rd non-split extension by C₄² of D₆ acting via D₆/C₆=C₂	96		C4^2.274D6	192,1029
S₃×C₂×C₄²	Direct product of C₂×C₄² and S₃	96		S3xC2xC4^2	192,1030
C₂×C₄²⋊₂S₃	Direct product of C₂ and C₄²⋊₂S₃	96		C2xC4^2:2S3	192,1031
C₂×C₄×D₁₂	Direct product of C₂×C₄ and D₁₂	96		C2xC4xD12	192,1032
C₄×C₄○D₁₂	Direct product of C₄ and C₄○D₁₂	96		C4xC4oD12	192,1033
C₂×C₄⋊D₁₂	Direct product of C₂ and C₄⋊D₁₂	96		C2xC4:D12	192,1034
C₂×C₄²⋊₇S₃	Direct product of C₂ and C₄²⋊₇S₃	96		C2xC4^2:7S3	192,1035
C₄².₂₇₆D₆	35^th non-split extension by C₄² of D₆ acting via D₆/C₆=C₂	96		C4^2.276D6	192,1036
C₂×C₄²⋊₃S₃	Direct product of C₂ and C₄²⋊₃S₃	96		C2xC4^2:3S3	192,1037
C₄².₂₇₇D₆	36^th non-split extension by C₄² of D₆ acting via D₆/C₆=C₂	96		C4^2.277D6	192,1038
C₂×C₂³.₁₆D₆	Direct product of C₂ and C₂³.₁₆D₆	96		C2xC2^3.16D6	192,1039
C₂×Dic₃.D₄	Direct product of C₂ and Dic₃.D₄	96		C2xDic3.D4	192,1040
C₂×C₂³.₈D₆	Direct product of C₂ and C₂³.₈D₆	96		C2xC2^3.8D6	192,1041
C₂×Dic₃⋊₄D₄	Direct product of C₂ and Dic₃⋊₄D₄	96		C2xDic3:4D4	192,1044
C₂×C₂³.₉D₆	Direct product of C₂ and C₂³.₉D₆	96		C2xC2^3.9D6	192,1047
C₂×Dic₃⋊D₄	Direct product of C₂ and Dic₃⋊D₄	96		C2xDic3:D4	192,1048
C₂×C₂³.₁₁D₆	Direct product of C₂ and C₂³.₁₁D₆	96		C2xC2^3.11D6	192,1050
C₂×C₂³.₂₁D₆	Direct product of C₂ and C₂³.₂₁D₆	96		C2xC2^3.21D6	192,1051
C₆.₇2₊¹⁺⁴	7^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.7ES+(2,2)	192,1059
C₂×S₃×C₄⋊C₄	Direct product of C₂, S₃ and C₄⋊C₄	96		C2xS3xC4:C4	192,1060
C₂×C₄⋊C₄⋊₇S₃	Direct product of C₂ and C₄⋊C₄⋊₇S₃	96		C2xC4:C4:7S3	192,1061
C₂×Dic₃⋊₅D₄	Direct product of C₂ and Dic₃⋊₅D₄	96		C2xDic3:5D4	192,1062
C₆.₈2₊¹⁺⁴	8^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.8ES+(2,2)	192,1063
C₂×D₆.D₄	Direct product of C₂ and D₆.D₄	96		C2xD6.D4	192,1064
C₂×C₁₂⋊D₄	Direct product of C₂ and C₁₂⋊D₄	96		C2xC12:D4	192,1065
C₆.2_-¹⁺⁴	3^rd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.ES-(2,2)	192,1066
C₂×D₆⋊Q₈	Direct product of C₂ and D₆⋊Q₈	96		C2xD6:Q8	192,1067
C₂×C₄.D₁₂	Direct product of C₂ and C₄.D₁₂	96		C2xC4.D12	192,1068
C₆.2₊¹⁺⁴	9^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.ES+(2,2)	192,1069
C₆.₁₀2₊¹⁺⁴	10^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.10ES+(2,2)	192,1070
C₂×C₄⋊C₄⋊S₃	Direct product of C₂ and C₄⋊C₄⋊S₃	96		C2xC4:C4:S3	192,1071
C₆.₅2_-¹⁺⁴	5^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.5ES-(2,2)	192,1072
C₆.₁₁2₊¹⁺⁴	11^st non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.11ES+(2,2)	192,1073
C₆.₆2_-¹⁺⁴	6^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.6ES-(2,2)	192,1074
C₄².₈₇D₆	87^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.87D6	192,1075
C₄².₈₈D₆	88^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.88D6	192,1076
C₄².₈₉D₆	89^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.89D6	192,1077
C₄².₉₀D₆	90^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.90D6	192,1078
C₄².₁₈₈D₆	8^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.188D6	192,1081
C₄².₉₁D₆	91^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.91D6	192,1082
C₄².₉₂D₆	92^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.92D6	192,1085
C₄².₉₃D₆	93^rd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.93D6	192,1087
C₄².₉₄D₆	94^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.94D6	192,1088
C₄².₉₅D₆	95^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.95D6	192,1089
C₄².₉₆D₆	96^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.96D6	192,1090
C₄².₉₇D₆	97^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.97D6	192,1091
C₄².₉₈D₆	98^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.98D6	192,1092
C₄².₉₉D₆	99^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.99D6	192,1093
C₄².₁₀₀D₆	100^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.100D6	192,1094
C₄×D₄⋊₂S₃	Direct product of C₄ and D₄⋊₂S₃	96		C4xD4:2S3	192,1095
D₄×Dic₆	Direct product of D₄ and Dic₆	96		D4xDic6	192,1096
C₄².₁₀₂D₆	102^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.102D6	192,1097
D₄⋊₅Dic₆	1^st semidirect product of D₄ and Dic₆ acting through Inn(D₄)	96		D4:5Dic6	192,1098
C₄².₁₀₄D₆	104^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.104D6	192,1099
C₄².₁₀₅D₆	105^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.105D6	192,1100
C₄².₁₀₆D₆	106^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.106D6	192,1101
D₄⋊₆Dic₆	2^nd semidirect product of D₄ and Dic₆ acting through Inn(D₄)	96		D4:6Dic6	192,1102
C₄².₁₀₈D₆	108^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.108D6	192,1105
C₄².₂₂₈D₆	48^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.228D6	192,1107
D₁₂⋊₂₄D₄	2^nd semidirect product of D₁₂ and D₄ acting through Inn(D₁₂)	96		D12:24D4	192,1110
Dic₆⋊₂₃D₄	1^st semidirect product of Dic₆ and D₄ acting through Inn(Dic₆)	96		Dic6:23D4	192,1111
Dic₆⋊₂₄D₄	2^nd semidirect product of Dic₆ and D₄ acting through Inn(Dic₆)	96		Dic6:24D4	192,1112
D₄⋊₆D₁₂	2^nd semidirect product of D₄ and D₁₂ acting through Inn(D₄)	96		D4:6D12	192,1114
C₄².₂₂₉D₆	49^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.229D6	192,1116
C₄².₁₁₃D₆	113^rd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.113D6	192,1117
C₄².₁₁₄D₆	114^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.114D6	192,1118
C₄².₁₁₅D₆	115^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.115D6	192,1120
C₄².₁₁₆D₆	116^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.116D6	192,1121
C₄².₁₁₇D₆	117^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.117D6	192,1122
C₄².₁₁₈D₆	118^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.118D6	192,1123
C₄².₁₁₉D₆	119^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.119D6	192,1124
C₄².₁₂₂D₆	122^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.122D6	192,1127
C₄×S₃×Q₈	Direct product of C₄, S₃ and Q₈	96		C4xS3xQ8	192,1130
C₄².₁₂₅D₆	125^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.125D6	192,1131
C₄×Q₈⋊₃S₃	Direct product of C₄ and Q₈⋊₃S₃	96		C4xQ8:3S3	192,1132
C₄².₁₂₆D₆	126^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.126D6	192,1133
Q₈×D₁₂	Direct product of Q₈ and D₁₂	96		Q8xD12	192,1134
Q₈⋊₆D₁₂	1^st semidirect product of Q₈ and D₁₂ acting through Inn(Q₈)	96		Q8:6D12	192,1135
Q₈⋊₇D₁₂	2^nd semidirect product of Q₈ and D₁₂ acting through Inn(Q₈)	96		Q8:7D12	192,1136
C₄².₂₃₂D₆	52^nd non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.232D6	192,1137
D₁₂⋊₁₀Q₈	The semidirect product of D₁₂ and Q₈ acting through Inn(D₁₂)	96		D12:10Q8	192,1138
C₄².₁₃₁D₆	131^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.131D6	192,1139
C₄².₁₃₂D₆	132^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.132D6	192,1140
C₄².₁₃₃D₆	133^rd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.133D6	192,1141
C₄².₁₃₄D₆	134^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.134D6	192,1142
C₄².₁₃₅D₆	135^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.135D6	192,1143
C₄².₁₃₆D₆	136^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.136D6	192,1144
C₁₂⋊(C₄○D₄)	2^nd semidirect product of C₁₂ and C₄○D₄ acting via C₄○D₄/C₂²=C₂²	96		C12:(C4oD4)	192,1155
C₆.₃₂2₊¹⁺⁴	32^nd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.32ES+(2,2)	192,1156
Dic₆⋊₁₉D₄	7^th semidirect product of Dic₆ and D₄ acting via D₄/C₂²=C₂	96		Dic6:19D4	192,1157
Dic₆⋊₂₀D₄	8^th semidirect product of Dic₆ and D₄ acting via D₄/C₂²=C₂	96		Dic6:20D4	192,1158
C₄⋊C₄.₁₇₈D₆	51^st non-split extension by C₄⋊C₄ of D₆ acting via D₆/S₃=C₂	96		C4:C4.178D6	192,1159
C₆.₃₄2₊¹⁺⁴	34^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.34ES+(2,2)	192,1160
C₆.₇₀2_-¹⁺⁴	25^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.70ES-(2,2)	192,1161
C₆.₇₁2_-¹⁺⁴	26^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.71ES-(2,2)	192,1162
C₆.₇₂2_-¹⁺⁴	27^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.72ES-(2,2)	192,1167
C₆.₇₃2_-¹⁺⁴	28^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.73ES-(2,2)	192,1170
C₆.₄₃2₊¹⁺⁴	43^rd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.43ES+(2,2)	192,1173
C₆.₄₄2₊¹⁺⁴	44^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.44ES+(2,2)	192,1174
C₆.₄₅2₊¹⁺⁴	45^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.45ES+(2,2)	192,1175
C₆.₁₁₅2₊¹⁺⁴	24^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	96		C6.115ES+(2,2)	192,1177
C₆.₄₇2₊¹⁺⁴	47^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.47ES+(2,2)	192,1178
C₆.₄₉2₊¹⁺⁴	49^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.49ES+(2,2)	192,1180
(Q₈×Dic₃)⋊C₂	10^th semidirect product of Q₈×Dic₃ and C₂ acting faithfully	96		(Q8xDic3):C2	192,1181
C₆.₇₅2_-¹⁺⁴	30^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.75ES-(2,2)	192,1182
C₄⋊C₄.₁₈₇D₆	60^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/S₃=C₂	96		C4:C4.187D6	192,1183
C₆.₁₅2_-¹⁺⁴	15^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.15ES-(2,2)	192,1184
C₆.₁₆2_-¹⁺⁴	16^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.16ES-(2,2)	192,1187
C₆.₁₇2_-¹⁺⁴	17^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.17ES-(2,2)	192,1188
D₁₂⋊₂₂D₄	10^th semidirect product of D₁₂ and D₄ acting via D₄/C₂²=C₂	96		D12:22D4	192,1190
Dic₆⋊₂₁D₄	9^th semidirect product of Dic₆ and D₄ acting via D₄/C₂²=C₂	96		Dic6:21D4	192,1191
Dic₆⋊₂₂D₄	10^th semidirect product of Dic₆ and D₄ acting via D₄/C₂²=C₂	96		Dic6:22D4	192,1192
C₆.₁₁₈2₊¹⁺⁴	27^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	96		C6.118ES+(2,2)	192,1194
C₆.₅₂2₊¹⁺⁴	52^nd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.52ES+(2,2)	192,1195
C₆.₂₀2_-¹⁺⁴	20^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.20ES-(2,2)	192,1197
C₆.₂₁2_-¹⁺⁴	21^st non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.21ES-(2,2)	192,1198
C₆.₂₂2_-¹⁺⁴	22^nd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.22ES-(2,2)	192,1199
C₆.₂₃2_-¹⁺⁴	23^rd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.23ES-(2,2)	192,1200
C₆.₇₇2_-¹⁺⁴	32^nd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.77ES-(2,2)	192,1201
C₆.₂₄2_-¹⁺⁴	24^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.24ES-(2,2)	192,1202
C₆.₇₈2_-¹⁺⁴	33^rd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.78ES-(2,2)	192,1204
C₆.₂₅2_-¹⁺⁴	25^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.25ES-(2,2)	192,1205
C₆.₅₉2₊¹⁺⁴	59^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.59ES+(2,2)	192,1206
C₆.₇₉2_-¹⁺⁴	34^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.79ES-(2,2)	192,1207
C₄⋊C₄.₁₉₇D₆	70^th non-split extension by C₄⋊C₄ of D₆ acting via D₆/S₃=C₂	96		C4:C4.197D6	192,1208
C₆.₈₀2_-¹⁺⁴	35^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.80ES-(2,2)	192,1209
C₆.₈₁2_-¹⁺⁴	36^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.81ES-(2,2)	192,1210
C₆.₈₂2_-¹⁺⁴	37^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.82ES-(2,2)	192,1214
C₆.₆₃2₊¹⁺⁴	63^rd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.63ES+(2,2)	192,1219
C₆.₆₄2₊¹⁺⁴	64^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.64ES+(2,2)	192,1220
C₆.₆₅2₊¹⁺⁴	65^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.65ES+(2,2)	192,1221
C₆.₆₆2₊¹⁺⁴	66^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.66ES+(2,2)	192,1222
C₆.₆₇2₊¹⁺⁴	67^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.67ES+(2,2)	192,1223
C₆.₈₅2_-¹⁺⁴	40^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.85ES-(2,2)	192,1224
C₆.₆₉2₊¹⁺⁴	69^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	96		C6.69ES+(2,2)	192,1226
C₄².₂₃₃D₆	53^rd non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.233D6	192,1227
C₄².₁₃₇D₆	137^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.137D6	192,1228
C₄².₁₃₈D₆	138^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.138D6	192,1229
C₄².₁₃₉D₆	139^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.139D6	192,1230
C₄².₁₄₀D₆	140^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.140D6	192,1231
C₄².₁₄₁D₆	141^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.141D6	192,1234
Dic₆⋊₁₀D₄	3^rd semidirect product of Dic₆ and D₄ acting via D₄/C₄=C₂	96		Dic6:10D4	192,1236
C₄².₂₃₄D₆	54^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.234D6	192,1239
C₄².₁₄₃D₆	143^rd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.143D6	192,1240
C₄².₁₄₄D₆	144^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.144D6	192,1241
C₄².₁₄₅D₆	145^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.145D6	192,1243
S₃×C₄².C₂	Direct product of S₃ and C₄².C₂	96		S3xC4^2.C2	192,1246
C₄².₂₃₆D₆	56^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.236D6	192,1247
C₄².₁₄₈D₆	148^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.148D6	192,1248
D₁₂⋊₇Q₈	5^th semidirect product of D₁₂ and Q₈ acting via Q₈/C₄=C₂	96		D12:7Q8	192,1249
C₄².₂₃₇D₆	57^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.237D6	192,1250
C₄².₁₅₀D₆	150^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.150D6	192,1251
C₄².₁₅₁D₆	151^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.151D6	192,1252
C₄².₁₅₂D₆	152^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.152D6	192,1253
C₄².₁₅₃D₆	153^rd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.153D6	192,1254
C₄².₁₅₄D₆	154^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.154D6	192,1255
C₄².₁₅₅D₆	155^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.155D6	192,1256
C₄².₁₅₆D₆	156^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.156D6	192,1257
C₄².₁₅₇D₆	157^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.157D6	192,1258
C₄².₁₅₈D₆	158^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.158D6	192,1259
C₄².₁₅₉D₆	159^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.159D6	192,1260
C₄².₁₆₀D₆	160^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.160D6	192,1261
C₄².₁₈₉D₆	9^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.189D6	192,1265
C₄².₁₆₁D₆	161^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.161D6	192,1266
C₄².₁₆₂D₆	162^nd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.162D6	192,1267
C₄².₁₆₃D₆	163^rd non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.163D6	192,1268
C₄².₁₆₄D₆	164^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.164D6	192,1269
C₄².₁₆₅D₆	165^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.165D6	192,1271
C₄².₁₆₆D₆	166^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.166D6	192,1272
C₄².₂₃₈D₆	58^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.238D6	192,1275
Dic₆⋊₁₁D₄	4^th semidirect product of Dic₆ and D₄ acting via D₄/C₄=C₂	96		Dic6:11D4	192,1277
C₄².₁₆₈D₆	168^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.168D6	192,1278
S₃×C₄⋊Q₈	Direct product of S₃ and C₄⋊Q₈	96		S3xC4:Q8	192,1282
C₄².₁₇₁D₆	171^st non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.171D6	192,1283
C₄².₂₄₀D₆	60^th non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.240D6	192,1284
D₁₂⋊₁₂D₄	5^th semidirect product of D₁₂ and D₄ acting via D₄/C₄=C₂	96		D12:12D4	192,1285
D₁₂⋊₈Q₈	6^th semidirect product of D₁₂ and Q₈ acting via Q₈/C₄=C₂	96		D12:8Q8	192,1286
C₄².₂₄₁D₆	61^st non-split extension by C₄² of D₆ acting via D₆/S₃=C₂	96		C4^2.241D6	192,1287
C₄².₁₇₄D₆	174^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.174D6	192,1288
D₁₂⋊₉Q₈	7^th semidirect product of D₁₂ and Q₈ acting via Q₈/C₄=C₂	96		D12:9Q8	192,1289
C₄².₁₇₆D₆	176^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.176D6	192,1290
C₄².₁₇₇D₆	177^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.177D6	192,1291
C₄².₁₇₈D₆	178^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.178D6	192,1292
C₄².₁₇₉D₆	179^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.179D6	192,1293
C₄².₁₈₀D₆	180^th non-split extension by C₄² of D₆ acting via D₆/C₃=C₂²	96		C4^2.180D6	192,1294
S₃×C₂²×C₈	Direct product of C₂²×C₈ and S₃	96		S3xC2^2xC8	192,1295
C₂²×C₈⋊S₃	Direct product of C₂² and C₈⋊S₃	96		C2^2xC8:S3	192,1296
C₂×C₈○D₁₂	Direct product of C₂ and C₈○D₁₂	96		C2xC8oD12	192,1297
C₂²×C₂₄⋊C₂	Direct product of C₂² and C₂₄⋊C₂	96		C2^2xC24:C2	192,1298
C₂²×D₂₄	Direct product of C₂² and D₂₄	96		C2^2xD24	192,1299
C₂×C₄○D₂₄	Direct product of C₂ and C₄○D₂₄	96		C2xC4oD24	192,1300
C₂×D₁₂.C₄	Direct product of C₂ and D₁₂.C₄	96		C2xD12.C4	192,1303
C₂×C₈.D₆	Direct product of C₂ and C₈.D₆	96		C2xC8.D6	192,1306
D₄.₁₃D₁₂	3^rd non-split extension by D₄ of D₁₂ acting through Inn(D₄)	96	4-	D4.13D12	192,1312
C₂×D₈⋊₃S₃	Direct product of C₂ and D₈⋊₃S₃	96		C2xD8:3S3	192,1315
C₂×D₄.D₆	Direct product of C₂ and D₄.D₆	96		C2xD4.D6	192,1319
C₂×Q₈.₇D₆	Direct product of C₂ and Q₈.₇D₆	96		C2xQ8.7D6	192,1320
C₂×S₃×Q₁₆	Direct product of C₂, S₃ and Q₁₆	96		C2xS3xQ16	192,1322
C₂×Q₁₆⋊S₃	Direct product of C₂ and Q₁₆⋊S₃	96		C2xQ16:S3	192,1323
C₂×D₂₄⋊C₂	Direct product of C₂ and D₂₄⋊C₂	96		C2xD24:C2	192,1324
D₁₂.₃₀D₄	13^rd non-split extension by D₁₂ of D₄ acting via D₄/C₄=C₂	96	4	D12.30D4	192,1325
D₈.₁₀D₆	The non-split extension by D₈ of D₆ acting through Inn(D₈)	96	4-	D8.10D6	192,1330
SD₁₆.D₆	The non-split extension by SD₁₆ of D₆ acting via D₆/S₃=C₂	96	8-	SD16.D6	192,1338
C₂²×C₄.Dic₃	Direct product of C₂² and C₄.Dic₃	96		C2^2xC4.Dic3	192,1340
C₂×C₁₂.₄₈D₄	Direct product of C₂ and C₁₂.₄₈D₄	96		C2xC12.48D4	192,1343
C₂×C₂³.₂₆D₆	Direct product of C₂ and C₂³.₂₆D₆	96		C2xC2^3.26D6	192,1345
C₂²×D₆⋊C₄	Direct product of C₂² and D₆⋊C₄	96		C2^2xD6:C4	192,1346
C₂×C₄×C₃⋊D₄	Direct product of C₂×C₄ and C₃⋊D₄	96		C2xC4xC3:D4	192,1347
C₂×C₂³.₂₈D₆	Direct product of C₂ and C₂³.₂₈D₆	96		C2xC2^3.28D6	192,1348
C₂×C₁₂⋊₇D₄	Direct product of C₂ and C₁₂⋊₇D₄	96		C2xC12:7D4	192,1349
C₂²×D₄⋊S₃	Direct product of C₂² and D₄⋊S₃	96		C2^2xD4:S3	192,1351
C₂²×D₄.S₃	Direct product of C₂² and D₄.S₃	96		C2^2xD4.S3	192,1353
C₂×D₄×Dic₃	Direct product of C₂, D₄ and Dic₃	96		C2xD4xDic3	192,1354
C₂×C₂³.₂₃D₆	Direct product of C₂ and C₂³.₂₃D₆	96		C2xC2^3.23D6	192,1355
C₂×C₂³.₁₂D₆	Direct product of C₂ and C₂³.₁₂D₆	96		C2xC2^3.12D6	192,1356
C₂×D₆⋊₃D₄	Direct product of C₂ and D₆⋊₃D₄	96		C2xD6:3D4	192,1359
C₂×C₂³.₁₄D₆	Direct product of C₂ and C₂³.₁₄D₆	96		C2xC2^3.14D6	192,1361
C₂×C₁₂⋊₃D₄	Direct product of C₂ and C₁₂⋊₃D₄	96		C2xC12:3D4	192,1362
C₂²×Q₈⋊₂S₃	Direct product of C₂² and Q₈⋊₂S₃	96		C2^2xQ8:2S3	192,1366
C₂×Q₈.₁₁D₆	Direct product of C₂ and Q₈.₁₁D₆	96		C2xQ8.11D6	192,1367
C₆.₄₂2_-¹⁺⁴	42^nd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.42ES-(2,2)	192,1371
C₂×D₆⋊₃Q₈	Direct product of C₂ and D₆⋊₃Q₈	96		C2xD6:3Q8	192,1372
C₂×C₁₂.₂₃D₄	Direct product of C₂ and C₁₂.₂₃D₄	96		C2xC12.23D4	192,1373
Q₈×C₃⋊D₄	Direct product of Q₈ and C₃⋊D₄	96		Q8xC3:D4	192,1374
C₆.₄₄2_-¹⁺⁴	44^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.44ES-(2,2)	192,1375
C₆.₄₅2_-¹⁺⁴	45^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₂×Q₈=C₂	96		C6.45ES-(2,2)	192,1376
C₂×D₄.Dic₃	Direct product of C₂ and D₄.Dic₃	96		C2xD4.Dic3	192,1377
C₂×Q₈.₁₃D₆	Direct product of C₂ and Q₈.₁₃D₆	96		C2xQ8.13D6	192,1380
C₂×Q₈.₁₄D₆	Direct product of C₂ and Q₈.₁₄D₆	96		C2xQ8.14D6	192,1382
C₆.₁₀₄2_-¹⁺⁴	59^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.104ES-(2,2)	192,1383
C₆.₁₀₅2_-¹⁺⁴	60^th non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.105ES-(2,2)	192,1384
Dic₃×C₄○D₄	Direct product of Dic₃ and C₄○D₄	96		Dic3xC4oD4	192,1385
C₆.₁₄₄2₊¹⁺⁴	53^rd non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	96		C6.144ES+(2,2)	192,1386
C₆.₁₀₇2_-¹⁺⁴	62^nd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.107ES-(2,2)	192,1390
(C₂×C₁₂)⋊₁₇D₄	13^rd semidirect product of C₂×C₁₂ and D₄ acting via D₄/C₂=C₂²	96		(C2xC12):17D4	192,1391
C₆.₁₀₈2_-¹⁺⁴	63^rd non-split extension by C₆ of 2_-¹⁺⁴ acting via 2_-¹⁺⁴/C₄○D₄=C₂	96		C6.108ES-(2,2)	192,1392
C₆.₁₄₈2₊¹⁺⁴	57^th non-split extension by C₆ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	96		C6.148ES+(2,2)	192,1393
D₁₂.₃₅C₂³	16^th non-split extension by D₁₂ of C₂³ acting via C₂³/C₂²=C₂	96	8-	D12.35C2^3	192,1397
C₂²×C₆.D₄	Direct product of C₂² and C₆.D₄	96		C2^2xC6.D4	192,1398
C₂×C₆×C₂²⋊C₄	Direct product of C₂×C₆ and C₂²⋊C₄	96		C2xC6xC2^2:C4	192,1401
C₆×C₄²⋊C₂	Direct product of C₆ and C₄²⋊C₂	96		C6xC4^2:C2	192,1403
D₄×C₂×C₁₂	Direct product of C₂×C₁₂ and D₄	96		D4xC2xC12	192,1404
C₁₂×C₄○D₄	Direct product of C₁₂ and C₄○D₄	96		C12xC4oD4	192,1406
C₃×C₂³.₃₂C₂³	Direct product of C₃ and C₂³.₃₂C₂³	96		C3xC2^3.32C2^3	192,1408
C₃×C₂³.₃₃C₂³	Direct product of C₃ and C₂³.₃₃C₂³	96		C3xC2^3.33C2^3	192,1409
C₆×C₄⋊D₄	Direct product of C₆ and C₄⋊D₄	96		C6xC4:D4	192,1411
C₆×C₂²⋊Q₈	Direct product of C₆ and C₂²⋊Q₈	96		C6xC2^2:Q8	192,1412
C₆×C₂².D₄	Direct product of C₆ and C₂².D₄	96		C6xC2^2.D4	192,1413
C₆×C₄.₄D₄	Direct product of C₆ and C₄.₄D₄	96		C6xC4.4D4	192,1415
C₆×C₄²⋊₂C₂	Direct product of C₆ and C₄²⋊₂C₂	96		C6xC4^2:2C2	192,1417
C₃×C₂³.₃₆C₂³	Direct product of C₃ and C₂³.₃₆C₂³	96		C3xC2^3.36C2^3	192,1418
C₆×C₄⋊₁D₄	Direct product of C₆ and C₄⋊₁D₄	96		C6xC4:1D4	192,1419
C₃×C₂².₂₆C₂⁴	Direct product of C₃ and C₂².₂₆C₂⁴	96		C3xC2^2.26C2^4	192,1421
C₃×C₂³.₃₇C₂³	Direct product of C₃ and C₂³.₃₇C₂³	96		C3xC2^3.37C2^3	192,1422
C₃×C₂³.₃₈C₂³	Direct product of C₃ and C₂³.₃₈C₂³	96		C3xC2^3.38C2^3	192,1425
C₃×C₂².₃₁C₂⁴	Direct product of C₃ and C₂².₃₁C₂⁴	96		C3xC2^2.31C2^4	192,1426
C₃×C₂².₃₃C₂⁴	Direct product of C₃ and C₂².₃₃C₂⁴	96		C3xC2^2.33C2^4	192,1428
C₃×C₂².₃₄C₂⁴	Direct product of C₃ and C₂².₃₄C₂⁴	96		C3xC2^2.34C2^4	192,1429
C₃×C₂².₃₅C₂⁴	Direct product of C₃ and C₂².₃₅C₂⁴	96		C3xC2^2.35C2^4	192,1430
C₃×C₂².₃₆C₂⁴	Direct product of C₃ and C₂².₃₆C₂⁴	96		C3xC2^2.36C2^4	192,1431
C₃×C₂³.₄₁C₂³	Direct product of C₃ and C₂³.₄₁C₂³	96		C3xC2^3.41C2^3	192,1433
C₃×D₄⋊₆D₄	Direct product of C₃ and D₄⋊₆D₄	96		C3xD4:6D4	192,1436
C₃×Q₈⋊₅D₄	Direct product of C₃ and Q₈⋊₅D₄	96		C3xQ8:5D4	192,1437
C₃×D₄×Q₈	Direct product of C₃, D₄ and Q₈	96		C3xD4xQ8	192,1438
C₃×Q₈⋊₆D₄	Direct product of C₃ and Q₈⋊₆D₄	96		C3xQ8:6D4	192,1439
C₃×C₂².₄₆C₂⁴	Direct product of C₃ and C₂².₄₆C₂⁴	96		C3xC2^2.46C2^4	192,1441
C₃×C₂².₄₇C₂⁴	Direct product of C₃ and C₂².₄₇C₂⁴	96		C3xC2^2.47C2^4	192,1442
C₃×D₄⋊₃Q₈	Direct product of C₃ and D₄⋊₃Q₈	96		C3xD4:3Q8	192,1443
C₃×C₂².₄₉C₂⁴	Direct product of C₃ and C₂².₄₉C₂⁴	96		C3xC2^2.49C2^4	192,1444
C₃×C₂².₅₀C₂⁴	Direct product of C₃ and C₂².₅₀C₂⁴	96		C3xC2^2.50C2^4	192,1445
C₃×C₂².₅₃C₂⁴	Direct product of C₃ and C₂².₅₃C₂⁴	96		C3xC2^2.53C2^4	192,1448
C₃×C₂².₅₆C₂⁴	Direct product of C₃ and C₂².₅₆C₂⁴	96		C3xC2^2.56C2^4	192,1451
C₃×C₂².₅₇C₂⁴	Direct product of C₃ and C₂².₅₇C₂⁴	96		C3xC2^2.57C2^4	192,1452
C₂×C₆×M₄(2)	Direct product of C₂×C₆ and M₄(2)	96		C2xC6xM4(2)	192,1455
C₆×C₈○D₄	Direct product of C₆ and C₈○D₄	96		C6xC8oD4	192,1456
C₂×C₆×D₈	Direct product of C₂×C₆ and D₈	96		C2xC6xD8	192,1458
C₂×C₆×SD₁₆	Direct product of C₂×C₆ and SD₁₆	96		C2xC6xSD16	192,1459
C₆×C₄○D₈	Direct product of C₆ and C₄○D₈	96		C6xC4oD8	192,1461
C₆×C₈.C₂²	Direct product of C₆ and C₈.C₂²	96		C6xC8.C2^2	192,1463
C₃×Q₈○D₈	Direct product of C₃ and Q₈○D₈	96	4	C3xQ8oD8	192,1467
S₃×C₂³×C₄	Direct product of C₂³×C₄ and S₃	96		S3xC2^3xC4	192,1511
C₂³×D₁₂	Direct product of C₂³ and D₁₂	96		C2^3xD12	192,1512
C₂²×C₄○D₁₂	Direct product of C₂² and C₄○D₁₂	96		C2^2xC4oD12	192,1513
C₂²×D₄⋊₂S₃	Direct product of C₂² and D₄⋊₂S₃	96		C2^2xD4:2S3	192,1515
C₂²×S₃×Q₈	Direct product of C₂², S₃ and Q₈	96		C2^2xS3xQ8	192,1517
C₂²×Q₈⋊₃S₃	Direct product of C₂² and Q₈⋊₃S₃	96		C2^2xQ8:3S3	192,1518
C₂×Q₈.₁₅D₆	Direct product of C₂ and Q₈.₁₅D₆	96		C2xQ8.15D6	192,1519
C₂×Q₈○D₁₂	Direct product of C₂ and Q₈○D₁₂	96		C2xQ8oD12	192,1522
C₂³×C₃⋊D₄	Direct product of C₂³ and C₃⋊D₄	96		C2^3xC3:D4	192,1529
D₄×C₂²×C₆	Direct product of C₂²×C₆ and D₄	96		D4xC2^2xC6	192,1531
C₂×C₆×C₄○D₄	Direct product of C₂×C₆ and C₄○D₄	96		C2xC6xC4oD4	192,1533
C₆×2_-¹⁺⁴	Direct product of C₆ and 2_-¹⁺⁴	96		C6xES-(2,2)	192,1535
S₃×C₂⁵	Direct product of C₂⁵ and S₃	96		S3xC2^5	192,1542

Groups of order 288

		d	ρ	Label	ID
C₃×C₃⋊C₃₂	Direct product of C₃ and C₃⋊C₃₂	96	2	C3xC3:C32	288,64
C₃²⋊₂C₃₂	The semidirect product of C₃² and C₃₂ acting via C₃₂/C₈=C₄	96	4	C3^2:2C32	288,188
S₃×C₃⋊C₁₆	Direct product of S₃ and C₃⋊C₁₆	96	4	S3xC3:C16	288,189
C₂₄.₆₁D₆	14^th non-split extension by C₂₄ of D₆ acting via D₆/S₃=C₂	96	4	C24.61D6	288,191
C₃²⋊₂D₁₆	1^st semidirect product of C₃² and D₁₆ acting via D₁₆/C₈=C₂²	96	4	C3^2:2D16	288,193
D₂₄.S₃	2^nd non-split extension by D₂₄ of S₃ acting via S₃/C₃=C₂	96	4	D24.S3	288,195
C₃²⋊₃SD₃₂	2^nd semidirect product of C₃² and SD₃₂ acting via SD₃₂/C₈=C₂²	96	4-	C3^2:3SD32	288,196
C₃²⋊₂Q₃₂	1^st semidirect product of C₃² and Q₃₂ acting via Q₃₂/C₈=C₂²	96	4	C3^2:2Q32	288,198
C₃²⋊₃Q₃₂	2^nd semidirect product of C₃² and Q₃₂ acting via Q₃₂/C₈=C₂²	96	4-	C3^2:3Q32	288,199
Dic₃×C₃⋊C₈	Direct product of Dic₃ and C₃⋊C₈	96		Dic3xC3:C8	288,200
C₆.(S₃×C₈)	3^rd non-split extension by C₆ of S₃×C₈ acting via S₃×C₈/C₃⋊C₈=C₂	96		C6.(S3xC8)	288,201
C₃⋊C₈⋊Dic₃	3^rd semidirect product of C₃⋊C₈ and Dic₃ acting via Dic₃/C₆=C₂	96		C3:C8:Dic3	288,202
C₂.Dic₃²	2^nd central stem extension by C₂ of Dic₃²	96		C2.Dic3^2	288,203
C₁₂.₇₇D₁₂	8^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	96		C12.77D12	288,204
D₁₂⋊₃Dic₃	3^rd semidirect product of D₁₂ and Dic₃ acting via Dic₃/C₆=C₂	96		D12:3Dic3	288,210
C₆.₁₆D₂₄	5^th non-split extension by C₆ of D₂₄ acting via D₂₄/D₁₂=C₂	96		C6.16D24	288,211
Dic₆⋊Dic₃	3^rd semidirect product of Dic₆ and Dic₃ acting via Dic₃/C₆=C₂	96		Dic6:Dic3	288,213
C₆.Dic₁₂	1^st non-split extension by C₆ of Dic₁₂ acting via Dic₁₂/Dic₆=C₂	96		C6.Dic12	288,214
C₁₂.₇₃D₁₂	4^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	96		C12.73D12	288,215
C₁₂.₈₁D₁₂	12^nd non-split extension by C₁₂ of D₁₂ acting via D₁₂/D₆=C₂	96		C12.81D12	288,219
C₁₂.₁₅Dic₆	2^nd non-split extension by C₁₂ of Dic₆ acting via Dic₆/Dic₃=C₂	96		C12.15Dic6	288,220
C₁₂.Dic₆	5^th non-split extension by C₁₂ of Dic₆ acting via Dic₆/C₆=C₂²	96		C12.Dic6	288,221
C₁₂.₆Dic₆	6^th non-split extension by C₁₂ of Dic₆ acting via Dic₆/C₆=C₂²	96		C12.6Dic6	288,222
C₆.₁₈D₂₄	7^th non-split extension by C₆ of D₂₄ acting via D₂₄/D₁₂=C₂	96		C6.18D24	288,223
C₁₂.₈Dic₆	8^th non-split extension by C₁₂ of Dic₆ acting via Dic₆/C₆=C₂²	96		C12.8Dic6	288,224
C₆².₆Q₈	3^rd non-split extension by C₆² of Q₈ acting via Q₈/C₂=C₂²	96		C6^2.6Q8	288,227
S₃×C₄₈	Direct product of C₄₈ and S₃	96	2	S3xC48	288,231
C₃×D₆.C₈	Direct product of C₃ and D₆.C₈	96	2	C3xD6.C8	288,232
C₃×D₄₈	Direct product of C₃ and D₄₈	96	2	C3xD48	288,233
C₃×C₄₈⋊C₂	Direct product of C₃ and C₄₈⋊C₂	96	2	C3xC48:C2	288,234
C₃×Dic₂₄	Direct product of C₃ and Dic₂₄	96	2	C3xDic24	288,235
C₁₂×C₃⋊C₈	Direct product of C₁₂ and C₃⋊C₈	96		C12xC3:C8	288,236
C₃×C₄².S₃	Direct product of C₃ and C₄².S₃	96		C3xC4^2.S3	288,237
C₃×C₁₂⋊C₈	Direct product of C₃ and C₁₂⋊C₈	96		C3xC12:C8	288,238
C₃×C₆.Q₁₆	Direct product of C₃ and C₆.Q₁₆	96		C3xC6.Q16	288,241
C₃×C₁₂.Q₈	Direct product of C₃ and C₁₂.Q₈	96		C3xC12.Q8	288,242
C₃×C₆.D₈	Direct product of C₃ and C₆.D₈	96		C3xC6.D8	288,243
C₃×C₆.SD₁₆	Direct product of C₃ and C₆.SD₁₆	96		C3xC6.SD16	288,244
C₆×C₃⋊C₁₆	Direct product of C₆ and C₃⋊C₁₆	96		C6xC3:C16	288,245
Dic₃×C₂₄	Direct product of C₂₄ and Dic₃	96		Dic3xC24	288,247
C₃×Dic₃⋊C₈	Direct product of C₃ and Dic₃⋊C₈	96		C3xDic3:C8	288,248
C₃×C₂₄⋊C₄	Direct product of C₃ and C₂₄⋊C₄	96		C3xC24:C4	288,249
C₃×C₂.Dic₁₂	Direct product of C₃ and C₂.Dic₁₂	96		C3xC2.Dic12	288,250
C₃×C₈⋊Dic₃	Direct product of C₃ and C₈⋊Dic₃	96		C3xC8:Dic3	288,251
C₃×C₂₄⋊₁C₄	Direct product of C₃ and C₂₄⋊₁C₄	96		C3xC24:1C4	288,252
C₃×D₆⋊C₈	Direct product of C₃ and D₆⋊C₈	96		C3xD6:C8	288,254
C₃×C₂.D₂₄	Direct product of C₃ and C₂.D₂₄	96		C3xC2.D24	288,255
C₃×C₈.₆D₆	Direct product of C₃ and C₈.₆D₆	96	4	C3xC8.6D6	288,262
C₃×C₃⋊Q₃₂	Direct product of C₃ and C₃⋊Q₃₂	96	4	C3xC3:Q32	288,263
C₃×C₆.C₄²	Direct product of C₃ and C₆.C₄²	96		C3xC6.C4^2	288,265
C₃×Q₈⋊₂Dic₃	Direct product of C₃ and Q₈⋊₂Dic₃	96		C3xQ8:2Dic3	288,269
C₃²⋊C₃₂	The semidirect product of C₃² and C₃₂ acting via C₃₂/C₄=C₈	96	8	C3^2:C32	288,373
C₃²⋊Q₃₂	The semidirect product of C₃² and Q₃₂ acting via Q₃₂/C₄=D₄	96	8-	C3^2:Q32	288,384
C₆².₄D₄	4^th non-split extension by C₆² of D₄ acting faithfully	96		C6^2.4D4	288,388
C₆².₆D₄	6^th non-split extension by C₆² of D₄ acting faithfully	96		C6^2.6D4	288,390
C₆².₇D₄	7^th non-split extension by C₆² of D₄ acting faithfully	96		C6^2.7D4	288,391
C₃×Q₈⋊Dic₃	Direct product of C₃ and Q₈⋊Dic₃	96		C3xQ8:Dic3	288,399
C₆.GL₂(𝔽₃)	3^rd non-split extension by C₆ of GL₂(𝔽₃) acting via GL₂(𝔽₃)/SL₂(𝔽₃)=C₂	96		C6.GL(2,3)	288,403
Dic₃×SL₂(𝔽₃)	Direct product of Dic₃ and SL₂(𝔽₃)	96		Dic3xSL(2,3)	288,409
SL₂(𝔽₃).Dic₃	The non-split extension by SL₂(𝔽₃) of Dic₃ acting through Inn(SL₂(𝔽₃))	96	4	SL(2,3).Dic3	288,410
C₂×C₃²⋊₂C₁₆	Direct product of C₂ and C₃²⋊₂C₁₆	96		C2xC3^2:2C16	288,420
C₄×C₃²⋊₂C₈	Direct product of C₄ and C₃²⋊₂C₈	96		C4xC3^2:2C8	288,423
(C₃×C₁₂)⋊₄C₈	2^nd semidirect product of C₃×C₁₂ and C₈ acting via C₈/C₂=C₄	96		(C3xC12):4C8	288,424
C₃²⋊₂C₈⋊C₄	6^th semidirect product of C₃²⋊₂C₈ and C₄ acting via C₄/C₂=C₂	96		C3^2:2C8:C4	288,425
C₃²⋊₅(C₄⋊C₈)	2^nd semidirect product of C₃² and C₄⋊C₈ acting via C₄⋊C₈/C₂×C₄=C₄	96		C3^2:5(C4:C8)	288,427
S₃×Dic₁₂	Direct product of S₃ and Dic₁₂	96	4-	S3xDic12	288,447
C₂₄.₃D₆	3^rd non-split extension by C₂₄ of D₆ acting via D₆/C₃=C₂²	96	4-	C24.3D6	288,448
D₂₄⋊₇S₃	The semidirect product of D₂₄ and S₃ acting through Inn(D₂₄)	96	4-	D24:7S3	288,455
C₂×S₃×C₃⋊C₈	Direct product of C₂, S₃ and C₃⋊C₈	96		C2xS3xC3:C8	288,460
C₂×D₆.Dic₃	Direct product of C₂ and D₆.Dic₃	96		C2xD6.Dic3	288,467
C₂×C₃²⋊₂D₈	Direct product of C₂ and C₃²⋊₂D₈	96		C2xC3^2:2D8	288,469
C₂×Dic₆⋊S₃	Direct product of C₂ and Dic₆⋊S₃	96		C2xDic6:S3	288,474
C₂×D₁₂.S₃	Direct product of C₂ and D₁₂.S₃	96		C2xD12.S3	288,476
C₂×C₃²⋊₂Q₁₆	Direct product of C₂ and C₃²⋊₂Q₁₆	96		C2xC3^2:2Q16	288,482
C₂×C₃²⋊₃Q₁₆	Direct product of C₂ and C₃²⋊₃Q₁₆	96		C2xC3^2:3Q16	288,483
Dic₃⋊₅Dic₆	1^st semidirect product of Dic₃ and Dic₆ acting through Inn(Dic₃)	96		Dic3:5Dic6	288,485
C₆².₈C₂³	3^rd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.8C2^3	288,486
C₆².₉C₂³	4^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.9C2^3	288,487
C₆².₁₀C₂³	5^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.10C2^3	288,488
C₆².₁₁C₂³	6^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.11C2^3	288,489
Dic₃×Dic₆	Direct product of Dic₃ and Dic₆	96		Dic3xDic6	288,490
C₆².₁₃C₂³	8^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.13C2^3	288,491
Dic₃⋊₆Dic₆	2^nd semidirect product of Dic₃ and Dic₆ acting through Inn(Dic₃)	96		Dic3:6Dic6	288,492
Dic₃.Dic₆	1^st non-split extension by Dic₃ of Dic₆ acting via Dic₆/Dic₃=C₂	96		Dic3.Dic6	288,493
C₆².₁₆C₂³	11^st non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.16C2^3	288,494
C₆².₁₇C₂³	12^nd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.17C2^3	288,495
D₆⋊Dic₆	1^st semidirect product of D₆ and Dic₆ acting via Dic₆/C₁₂=C₂	96		D6:Dic6	288,499
C₆².₂₅C₂³	20^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.25C2^3	288,503
D₆⋊₆Dic₆	2^nd semidirect product of D₆ and Dic₆ acting via Dic₆/C₁₂=C₂	96		D6:6Dic6	288,504
D₆⋊₇Dic₆	3^rd semidirect product of D₆ and Dic₆ acting via Dic₆/C₁₂=C₂	96		D6:7Dic6	288,505
C₆².₂₈C₂³	23^rd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.28C2^3	288,506
C₆².₂₉C₂³	24^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.29C2^3	288,507
C₁₂.₂₇D₁₂	27^th non-split extension by C₁₂ of D₁₂ acting via D₁₂/C₆=C₂²	96		C12.27D12	288,508
C₆².₃₁C₂³	26^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.31C2^3	288,509
C₆².₃₂C₂³	27^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.32C2^3	288,510
C₆².₃₃C₂³	28^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.33C2^3	288,511
Dic₃⋊Dic₆	1^st semidirect product of Dic₃ and Dic₆ acting via Dic₆/C₁₂=C₂	96		Dic3:Dic6	288,514
C₆².₃₇C₂³	32^nd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.37C2^3	288,515
C₆².₃₉C₂³	34^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.39C2^3	288,517
C₆².₄₀C₂³	35^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.40C2^3	288,518
C₆².₄₂C₂³	37^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.42C2^3	288,520
C₆².₄₃C₂³	38^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.43C2^3	288,521
C₄×S₃×Dic₃	Direct product of C₄, S₃ and Dic₃	96		C4xS3xDic3	288,523
S₃×Dic₃⋊C₄	Direct product of S₃ and Dic₃⋊C₄	96		S3xDic3:C4	288,524
C₆².₄₇C₂³	42^nd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.47C2^3	288,525
C₆².₄₈C₂³	43^rd non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.48C2^3	288,526
C₆².₄₉C₂³	44^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.49C2^3	288,527
C₆².₅₄C₂³	49^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.54C2^3	288,532
C₆².₅₅C₂³	50^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.55C2^3	288,533
D₆⋊₁Dic₆	1^st semidirect product of D₆ and Dic₆ acting via Dic₆/Dic₃=C₂	96		D6:1Dic6	288,535
S₃×C₄⋊Dic₃	Direct product of S₃ and C₄⋊Dic₃	96		S3xC4:Dic3	288,537
D₆.₉D₁₂	6^th non-split extension by D₆ of D₁₂ acting via D₁₂/D₆=C₂	96		D6.9D12	288,539
Dic₃×D₁₂	Direct product of Dic₃ and D₁₂	96		Dic3xD12	288,540
D₆⋊₂Dic₆	2^nd semidirect product of D₆ and Dic₆ acting via Dic₆/Dic₃=C₂	96		D6:2Dic6	288,541
D₆⋊₃Dic₆	3^rd semidirect product of D₆ and Dic₆ acting via Dic₆/Dic₃=C₂	96		D6:3Dic6	288,544
D₁₂⋊Dic₃	5^th semidirect product of D₁₂ and Dic₃ acting via Dic₃/C₆=C₂	96		D12:Dic3	288,546
D₆⋊₄Dic₆	4^th semidirect product of D₆ and Dic₆ acting via Dic₆/Dic₃=C₂	96		D6:4Dic6	288,547
C₄×D₆⋊S₃	Direct product of C₄ and D₆⋊S₃	96		C4xD6:S3	288,549
C₆².₇₂C₂³	67^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.72C2^3	288,550
C₆².₇₅C₂³	70^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.75C2^3	288,553
D₆⋊₂D₁₂	2^nd semidirect product of D₆ and D₁₂ acting via D₁₂/C₁₂=C₂	96		D6:2D12	288,556
C₆².₈₃C₂³	78^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.83C2^3	288,561
C₆².₈₄C₂³	79^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.84C2^3	288,562
C₆².₈₅C₂³	80^th non-split extension by C₆² of C₂³ acting via C₂³/C₂=C₂²	96		C6^2.85C2^3	288,563
C₄×C₃²⋊₂Q₈	Direct product of C₄ and C₃²⋊₂Q₈	96		C4xC3^2:2Q8	288,565
C₁₂⋊₃Dic₆	1^st semidirect product of C₁₂ and Dic₆ acting via Dic₆/Dic₃=C₂	96		C12:3Dic6	288,566
C₁₂⋊Dic₆	1^st semidirect product of C₁₂ and Dic₆ acting via Dic₆/C₆=C₂²	96		C12:Dic6	288,567
S₃×C₃⋊Q₁₆	Direct product of S₃ and C₃⋊Q₁₆	96	8-	S3xC3:Q16	288,590
D₁₂.₁₁D₆	11^st non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	96	8-	D12.11D6	288,591
D₁₂.₂₄D₆	9^th non-split extension by D₁₂ of D₆ acting via D₆/S₃=C₂	96	8-	D12.24D6	288,594
D₁₂.₁₂D₆	12^nd non-split extension by D₁₂ of D₆ acting via D₆/C₃=C₂²	96	8-	D12.12D6	288,595
C₂×Dic₃²	Direct product of C₂, Dic₃ and Dic₃	96		C2xDic3^2	288,602
C₂×D₆⋊Dic₃	Direct product of C₂ and D₆⋊Dic₃	96		C2xD6:Dic3	288,608
C₂×Dic₃⋊Dic₃	Direct product of C₂ and Dic₃⋊Dic₃	96		C2xDic3:Dic3	288,613
C₂×C₆².C₂²	Direct product of C₂ and C₆².C₂²	96		C2xC6^2.C2^2	288,615
C₁₂×SL₂(𝔽₃)	Direct product of C₁₂ and SL₂(𝔽₃)	96		C12xSL(2,3)	288,633
C₃×C₈.A₄	Direct product of C₃ and C₈.A₄	96	2	C3xC8.A4	288,638
C₁₂×Dic₆	Direct product of C₁₂ and Dic₆	96		C12xDic6	288,639
C₃×C₁₂⋊₂Q₈	Direct product of C₃ and C₁₂⋊₂Q₈	96		C3xC12:2Q8	288,640
C₃×C₁₂.₆Q₈	Direct product of C₃ and C₁₂.₆Q₈	96		C3xC12.6Q8	288,641
S₃×C₄×C₁₂	Direct product of C₄×C₁₂ and S₃	96		S3xC4xC12	288,642
C₃×C₄²⋊₂S₃	Direct product of C₃ and C₄²⋊₂S₃	96		C3xC4^2:2S3	288,643
C₁₂×D₁₂	Direct product of C₁₂ and D₁₂	96		C12xD12	288,644
C₃×C₄⋊D₁₂	Direct product of C₃ and C₄⋊D₁₂	96		C3xC4:D12	288,645
C₃×C₄²⋊₇S₃	Direct product of C₃ and C₄²⋊₇S₃	96		C3xC4^2:7S3	288,646
C₃×C₄²⋊₃S₃	Direct product of C₃ and C₄²⋊₃S₃	96		C3xC4^2:3S3	288,647
C₃×Dic₆⋊C₄	Direct product of C₃ and Dic₆⋊C₄	96		C3xDic6:C4	288,658
C₃×C₁₂⋊Q₈	Direct product of C₃ and C₁₂⋊Q₈	96		C3xC12:Q8	288,659
C₃×Dic₃.Q₈	Direct product of C₃ and Dic₃.Q₈	96		C3xDic3.Q8	288,660
C₃×C₄.Dic₆	Direct product of C₃ and C₄.Dic₆	96		C3xC4.Dic6	288,661
C₃×S₃×C₄⋊C₄	Direct product of C₃, S₃ and C₄⋊C₄	96		C3xS3xC4:C4	288,662
C₃×C₄⋊C₄⋊₇S₃	Direct product of C₃ and C₄⋊C₄⋊₇S₃	96		C3xC4:C4:7S3	288,663
C₃×Dic₃⋊₅D₄	Direct product of C₃ and Dic₃⋊₅D₄	96		C3xDic3:5D4	288,664
C₃×D₆.D₄	Direct product of C₃ and D₆.D₄	96		C3xD6.D4	288,665
C₃×C₁₂⋊D₄	Direct product of C₃ and C₁₂⋊D₄	96		C3xC12:D4	288,666
C₃×D₆⋊Q₈	Direct product of C₃ and D₆⋊Q₈	96		C3xD6:Q8	288,667
C₃×C₄.D₁₂	Direct product of C₃ and C₄.D₁₂	96		C3xC4.D12	288,668
C₃×C₄⋊C₄⋊S₃	Direct product of C₃ and C₄⋊C₄⋊S₃	96		C3xC4:C4:S3	288,669
S₃×C₂×C₂₄	Direct product of C₂×C₂₄ and S₃	96		S3xC2xC24	288,670
C₆×C₈⋊S₃	Direct product of C₆ and C₈⋊S₃	96		C6xC8:S3	288,671
C₆×C₂₄⋊C₂	Direct product of C₆ and C₂₄⋊C₂	96		C6xC24:C2	288,673
C₆×D₂₄	Direct product of C₆ and D₂₄	96		C6xD24	288,674
C₆×Dic₁₂	Direct product of C₆ and Dic₁₂	96		C6xDic12	288,676
C₃×S₃×Q₁₆	Direct product of C₃, S₃ and Q₁₆	96	4	C3xS3xQ16	288,688
C₃×Q₁₆⋊S₃	Direct product of C₃ and Q₁₆⋊S₃	96	4	C3xQ16:S3	288,689
C₃×D₂₄⋊C₂	Direct product of C₃ and D₂₄⋊C₂	96	4	C3xD24:C2	288,690
C₂×C₆×C₃⋊C₈	Direct product of C₂×C₆ and C₃⋊C₈	96		C2xC6xC3:C8	288,691
Dic₃×C₂×C₁₂	Direct product of C₂×C₁₂ and Dic₃	96		Dic3xC2xC12	288,693
C₆×Dic₃⋊C₄	Direct product of C₆ and Dic₃⋊C₄	96		C6xDic3:C4	288,694
C₆×C₄⋊Dic₃	Direct product of C₆ and C₄⋊Dic₃	96		C6xC4:Dic3	288,696
C₆×D₆⋊C₄	Direct product of C₆ and D₆⋊C₄	96		C6xD6:C4	288,698
C₆×Q₈⋊₂S₃	Direct product of C₆ and Q₈⋊₂S₃	96		C6xQ8:2S3	288,712
C₆×C₃⋊Q₁₆	Direct product of C₆ and C₃⋊Q₁₆	96		C6xC3:Q16	288,714
C₃×Dic₃⋊Q₈	Direct product of C₃ and Dic₃⋊Q₈	96		C3xDic3:Q8	288,715
C₃×Q₈×Dic₃	Direct product of C₃, Q₈ and Dic₃	96		C3xQ8xDic3	288,716
C₃×D₆⋊₃Q₈	Direct product of C₃ and D₆⋊₃Q₈	96		C3xD6:3Q8	288,717
C₃×C₁₂.₂₃D₄	Direct product of C₃ and C₁₂.₂₃D₄	96		C3xC12.23D4	288,718
CSU₂(𝔽₃)⋊S₃	1^st semidirect product of CSU₂(𝔽₃) and S₃ acting via S₃/C₃=C₂	96	4	CSU(2,3):S3	288,844
C₂×C₂.F₉	Direct product of C₂ and C₂.F₉	96		C2xC2.F9	288,865
C₂×C₃²⋊Q₁₆	Direct product of C₂ and C₃²⋊Q₁₆	96		C2xC3^2:Q16	288,888
C₆×CSU₂(𝔽₃)	Direct product of C₆ and CSU₂(𝔽₃)	96		C6xCSU(2,3)	288,899
C₃×C₄.S₄	Direct product of C₃ and C₄.S₄	96	4	C3xC4.S4	288,902
C₂×C₆.₅S₄	Direct product of C₂ and C₆.₅S₄	96		C2xC6.5S4	288,910
C₁₂.₆S₄	6^th non-split extension by C₁₂ of S₄ acting via S₄/A₄=C₂	96	4-	C12.6S4	288,913
C₂×Dic₃.A₄	Direct product of C₂ and Dic₃.A₄	96		C2xDic3.A4	288,921
C₂²×C₃²⋊₂C₈	Direct product of C₂² and C₃²⋊₂C₈	96		C2^2xC3^2:2C8	288,939
C₂×S₃×Dic₆	Direct product of C₂, S₃ and Dic₆	96		C2xS3xDic6	288,942
C₂×D₁₂⋊₅S₃	Direct product of C₂ and D₁₂⋊₅S₃	96		C2xD12:5S3	288,943
C₂²×S₃×Dic₃	Direct product of C₂², S₃ and Dic₃	96		C2^2xS3xDic3	288,969
C₂²×D₆⋊S₃	Direct product of C₂² and D₆⋊S₃	96		C2^2xD6:S3	288,973
C₂²×C₃²⋊₂Q₈	Direct product of C₂² and C₃²⋊₂Q₈	96		C2^2xC3^2:2Q8	288,975
C₂×C₆×SL₂(𝔽₃)	Direct product of C₂×C₆ and SL₂(𝔽₃)	96		C2xC6xSL(2,3)	288,981
C₆×C₄.A₄	Direct product of C₆ and C₄.A₄	96		C6xC4.A4	288,983
C₂×C₆×Dic₆	Direct product of C₂×C₆ and Dic₆	96		C2xC6xDic6	288,988
S₃×C₂²×C₁₂	Direct product of C₂²×C₁₂ and S₃	96		S3xC2^2xC12	288,989
C₂×C₆×D₁₂	Direct product of C₂×C₆ and D₁₂	96		C2xC6xD12	288,990
S₃×C₆×Q₈	Direct product of C₆, S₃ and Q₈	96		S3xC6xQ8	288,995
C₆×Q₈⋊₃S₃	Direct product of C₆ and Q₈⋊₃S₃	96		C6xQ8:3S3	288,996
Dic₃×C₂²×C₆	Direct product of C₂²×C₆ and Dic₃	96		Dic3xC2^2xC6	288,1001
S₃×C₂³×C₆	Direct product of C₂³×C₆ and S₃	96		S3xC2^3xC6	288,1043

Groups of order 480

		d	ρ	Label	ID
C₂².₂S₅	1^st central extension by C₂² of S₅	96		C2^2.2S5	480,219
C₄×SL₂(𝔽₅)	Direct product of C₄ and SL₂(𝔽₅)	96		C4xSL(2,5)	480,222
C₂×CSU₂(𝔽₅)	Direct product of C₂ and CSU₂(𝔽₅)	96		C2xCSU(2,5)	480,949
C₂²×SL₂(𝔽₅)	Direct product of C₂² and SL₂(𝔽₅)	96		C2^2xSL(2,5)	480,960
C₃×2_-¹⁺⁴⋊C₅	Direct product of C₃ and 2_-¹⁺⁴⋊C₅	96	4	C3xES-(2,2):C5	480,1046

On 97 points

Groups of order 97

		d	ρ	Label	ID
C₉₇	Cyclic group	97	1	C97	97,1

Groups of order 194

		d	ρ	Label	ID
D₉₇	Dihedral group	97	2+	D97	194,1

Groups of order 291

		d	ρ	Label	ID
C₉₇⋊C₃	The semidirect product of C₉₇ and C₃ acting faithfully	97	3	C97:C3	291,1

Groups of order 388

		d	ρ	Label	ID
C₉₇⋊C₄	The semidirect product of C₉₇ and C₄ acting faithfully	97	4+	C97:C4	388,3

On 98 points

Groups of order 98

		d	ρ	Label	ID
C₉₈	Cyclic group	98	1	C98	98,2
C₇×C₁₄	Abelian group of type [7,14]	98		C7xC14	98,5

Groups of order 196

		d	ρ	Label	ID
D₉₈	Dihedral group; = C₂×D₄₉	98	2+	D98	196,3
C₂×C₇⋊D₇	Direct product of C₂ and C₇⋊D₇	98		C2xC7:D7	196,11

Groups of order 294

		d	ρ	Label	ID
C₂×C₄₉⋊C₃	Direct product of C₂ and C₄₉⋊C₃	98	3	C2xC49:C3	294,2
C₂×C₇²⋊C₃	Direct product of C₂ and C₇²⋊C₃	98		C2xC7^2:C3	294,16

Groups of order 392

		d	ρ	Label	ID
C₇.F₈	The central extension by C₇ of F₈	98	7	C7.F8	392,11

On 99 points

Groups of order 99

		d	ρ	Label	ID
C₉₉	Cyclic group	99	1	C99	99,1
C₃×C₃₃	Abelian group of type [3,33]	99		C3xC33	99,2

Groups of order 198

		d	ρ	Label	ID
C₁₁×D₉	Direct product of C₁₁ and D₉	99	2	C11xD9	198,1
C₉×D₁₁	Direct product of C₉ and D₁₁	99	2	C9xD11	198,2
D₉₉	Dihedral group	99	2+	D99	198,3
C₃²×D₁₁	Direct product of C₃² and D₁₁	99		C3^2xD11	198,5
C₁₁×C₃⋊S₃	Direct product of C₁₁ and C₃⋊S₃	99		C11xC3:S3	198,8
C₃⋊D₃₃	The semidirect product of C₃ and D₃₃ acting via D₃₃/C₃₃=C₂	99		C3:D33	198,9

Groups of order 297

		d	ρ	Label	ID
C₁₁×He₃	Direct product of C₁₁ and He₃	99	3	C11xHe3	297,3
C₁₁×3_-¹⁺²	Direct product of C₁₁ and 3_-¹⁺²	99	3	C11xES-(3,1)	297,4

Groups of order 396

		d	ρ	Label	ID
D₉×D₁₁	Direct product of D₉ and D₁₁	99	4+	D9xD11	396,5
C₃⋊S₃×D₁₁	Direct product of C₃⋊S₃ and D₁₁	99		C3:S3xD11	396,20

Groups of order 495

		d	ρ	Label	ID
C₉×C₁₁⋊C₅	Direct product of C₉ and C₁₁⋊C₅	99	5	C9xC11:C5	495,1
C₃²×C₁₁⋊C₅	Direct product of C₃² and C₁₁⋊C₅	99		C3^2xC11:C5	495,3

On 100 points

Groups of order 100

		d	ρ	Label	ID
Dic₂₅	Dicyclic group; = C₂₅ ⋊₂ C₄	100	2-	Dic25	100,1
C₁₀₀	Cyclic group	100	1	C100	100,2
C₂×C₅₀	Abelian group of type [2,50]	100		C2xC50	100,5
C₅²⋊₆C₄	2^nd semidirect product of C₅² and C₄ acting via C₄/C₂=C₂	100		C5^2:6C4	100,7
C₅×C₂₀	Abelian group of type [5,20]	100		C5xC20	100,8
C₁₀²	Abelian group of type [10,10]	100		C10^2	100,16

Groups of order 200

		d	ρ	Label	ID
C₄×D₂₅	Direct product of C₄ and D₂₅	100	2	C4xD25	200,5
D₁₀₀	Dihedral group	100	2+	D100	200,6
C₂₅⋊D₄	The semidirect product of C₂₅ and D₄ acting via D₄/C₂²=C₂	100	2	C25:D4	200,8
D₄×C₂₅	Direct product of C₂₅ and D₄	100	2	D4xC25	200,10
C₂²×D₂₅	Direct product of C₂² and D₂₅	100		C2^2xD25	200,13
C₄×C₅⋊D₅	Direct product of C₄ and C₅⋊D₅	100		C4xC5:D5	200,33
C₂₀⋊D₅	1^st semidirect product of C₂₀ and D₅ acting via D₅/C₅=C₂	100		C20:D5	200,34
C₅²⋊₇D₄	2^nd semidirect product of C₅² and D₄ acting via D₄/C₂²=C₂	100		C5^2:7D4	200,36
D₄×C₅²	Direct product of C₅² and D₄	100		D4xC5^2	200,38
C₂²×C₅⋊D₅	Direct product of C₂² and C₅⋊D₅	100		C2^2xC5:D5	200,51

Groups of order 300

		d	ρ	Label	ID
A₄×C₂₅	Direct product of C₂₅ and A₄	100	3	A4xC25	300,8
A₄×C₅²	Direct product of C₅² and A₄	100		A4xC5^2	300,42

Groups of order 400

		d	ρ	Label	ID
C₄×C₂₅⋊C₄	Direct product of C₄ and C₂₅⋊C₄	100	4	C4xC25:C4	400,30
C₁₀₀⋊C₄	1^st semidirect product of C₁₀₀ and C₄ acting faithfully	100	4	C100:C4	400,31
D₂₅.D₄	The non-split extension by D₂₅ of D₄ acting via D₄/C₂²=C₂	100	4+	D25.D4	400,34
D₄×D₂₅	Direct product of D₄ and D₂₅	100	4+	D4xD25	400,39
C₂²×C₂₅⋊C₄	Direct product of C₂² and C₂₅⋊C₄	100		C2^2xC25:C4	400,53
C₄×C₅⋊F₅	Direct product of C₄ and C₅⋊F₅	100		C4xC5:F5	400,151
C₂₀⋊F₅	1^st semidirect product of C₂₀ and F₅ acting via F₅/C₅=C₄	100		C20:F5	400,152
C₁₀²⋊C₄	3^rd semidirect product of C₁₀² and C₄ acting faithfully	100		C10^2:C4	400,155
D₄×C₅⋊D₅	Direct product of D₄ and C₅⋊D₅	100		D4xC5:D5	400,195
C₂²×C₅⋊F₅	Direct product of C₂² and C₅⋊F₅	100		C2^2xC5:F5	400,216

Groups of order 500

		d	ρ	Label	ID
C₅×Dic₂₅	Direct product of C₅ and Dic₂₅	100	2	C5xDic25	500,6
Dic₅×C₂₅	Direct product of C₂₅ and Dic₅	100	2	Dic5xC25	500,7
He₅⋊₅C₄	1^st semidirect product of He₅ and C₄ acting via C₄/C₂=C₂	100	10-	He5:5C4	500,8
C₅₀.C₁₀	The non-split extension by C₅₀ of C₁₀ acting faithfully	100	10-	C50.C10	500,9
He₅⋊₆C₄	2^nd semidirect product of He₅ and C₄ acting via C₄/C₂=C₂	100	5	He5:6C4	500,11
C₄×He₅	Direct product of C₄ and He₅	100	5	C4xHe5	500,13
C₄×5_-¹⁺²	Direct product of C₄ and 5_-¹⁺²	100	5	C4xES-(5,1)	500,14
F₅×C₂₅	Direct product of C₂₅ and F₅	100	4	F5xC25	500,15
C₅×C₂₅⋊C₄	Direct product of C₅ and C₂₅⋊C₄	100	4	C5xC25:C4	500,16
D₅.D₂₅	The non-split extension by D₅ of D₂₅ acting via D₂₅/C₂₅=C₂	100	4	D5.D25	500,19
D₂₅.D₅	The non-split extension by D₂₅ of D₅ acting via D₅/C₅=C₂	100	4	D25.D5	500,20
C₁₀×D₂₅	Direct product of C₁₀ and D₂₅	100	2	C10xD25	500,28
D₅×C₅₀	Direct product of C₅₀ and D₅	100	2	D5xC50	500,29
C₂²×He₅	Direct product of C₂² and He₅	100		C2^2xHe5	500,35
C₂²×5_-¹⁺²	Direct product of C₂² and 5_-¹⁺²	100		C2^2xES-(5,1)	500,36
Dic₅×C₅²	Direct product of C₅² and Dic₅	100		Dic5xC5^2	500,37
C₅×C₅²⋊₆C₄	Direct product of C₅ and C₅²⋊₆C₄	100		C5xC5^2:6C4	500,38
F₅×C₅²	Direct product of C₅² and F₅	100		F5xC5^2	500,41
C₅×C₅⋊F₅	Direct product of C₅ and C₅⋊F₅	100		C5xC5:F5	500,43
C₅³⋊C₄	5^th semidirect product of C₅³ and C₄ acting faithfully	100		C5^3:C4	500,45
C₅³⋊₇C₄	7^th semidirect product of C₅³ and C₄ acting faithfully	100		C5^3:7C4	500,47
D₅×C₅×C₁₀	Direct product of C₅×C₁₀ and D₅	100		D5xC5xC10	500,53
C₁₀×C₅⋊D₅	Direct product of C₁₀ and C₅⋊D₅	100		C10xC5:D5	500,54

On 101 points

Groups of order 101

		d	ρ	Label	ID
C₁₀₁	Cyclic group	101	1	C101	101,1

Groups of order 202

		d	ρ	Label	ID
D₁₀₁	Dihedral group	101	2+	D101	202,1

Groups of order 404

		d	ρ	Label	ID
C₁₀₁⋊C₄	The semidirect product of C₁₀₁ and C₄ acting faithfully	101	4+	C101:C4	404,3

On 102 points

Groups of order 102

		d	ρ	Label	ID
C₁₀₂	Cyclic group	102	1	C102	102,4

Groups of order 204

		d	ρ	Label	ID
C₆×D₁₇	Direct product of C₆ and D₁₇	102	2	C6xD17	204,9
S₃×C₃₄	Direct product of C₃₄ and S₃	102	2	S3xC34	204,10
D₁₀₂	Dihedral group; = C₂×D₅₁	102	2+	D102	204,11

Groups of order 306

		d	ρ	Label	ID
S₃×C₅₁	Direct product of C₅₁ and S₃	102	2	S3xC51	306,6
C₃×D₅₁	Direct product of C₃ and D₅₁	102	2	C3xD51	306,7

Groups of order 408

		d	ρ	Label	ID
C₆×C₁₇⋊C₄	Direct product of C₆ and C₁₇⋊C₄	102	4	C6xC17:C4	408,39
C₂×C₅₁⋊C₄	Direct product of C₂ and C₅₁⋊C₄	102	4	C2xC51:C4	408,40
C₂×S₃×D₁₇	Direct product of C₂, S₃ and D₁₇	102	4+	C2xS3xD17	408,41
A₄×C₃₄	Direct product of C₃₄ and A₄	102	3	A4xC34	408,42

On 103 points

Groups of order 103

		d	ρ	Label	ID
C₁₀₃	Cyclic group	103	1	C103	103,1

Groups of order 206

		d	ρ	Label	ID
D₁₀₃	Dihedral group	103	2+	D103	206,1

Groups of order 309

		d	ρ	Label	ID
C₁₀₃⋊C₃	The semidirect product of C₁₀₃ and C₃ acting faithfully	103	3	C103:C3	309,1

On 104 points

Groups of order 104

		d	ρ	Label	ID
C₁₃⋊₂C₈	The semidirect product of C₁₃ and C₈ acting via C₈/C₄=C₂	104	2	C13:2C8	104,1
C₁₀₄	Cyclic group	104	1	C104	104,2
C₁₃⋊C₈	The semidirect product of C₁₃ and C₈ acting via C₈/C₂=C₄	104	4-	C13:C8	104,3
Dic₂₆	Dicyclic group; = C₁₃ ⋊Q₈	104	2-	Dic26	104,4
C₂×Dic₁₃	Direct product of C₂ and Dic₁₃	104		C2xDic13	104,7
C₂×C₅₂	Abelian group of type [2,52]	104		C2xC52	104,9
Q₈×C₁₃	Direct product of C₁₃ and Q₈	104	2	Q8xC13	104,11
C₂²×C₂₆	Abelian group of type [2,2,26]	104		C2^2xC26	104,14

Groups of order 208

		d	ρ	Label	ID
C₈×D₁₃	Direct product of C₈ and D₁₃	104	2	C8xD13	208,4
C₈⋊D₁₃	3^rd semidirect product of C₈ and D₁₃ acting via D₁₃/C₁₃=C₂	104	2	C8:D13	208,5
C₁₀₄⋊C₂	2^nd semidirect product of C₁₀₄ and C₂ acting faithfully	104	2	C104:C2	208,6
D₁₀₄	Dihedral group	104	2+	D104	208,7
C₅₂.₄C₄	1^st non-split extension by C₅₂ of C₄ acting via C₄/C₂=C₂	104	2	C52.4C4	208,10
D₂₆⋊C₄	1^st semidirect product of D₂₆ and C₄ acting via C₄/C₂=C₂	104		D26:C4	208,14
D₄⋊D₁₃	The semidirect product of D₄ and D₁₃ acting via D₁₃/C₁₃=C₂	104	4+	D4:D13	208,15
D₄.D₁₃	The non-split extension by D₄ of D₁₃ acting via D₁₃/C₁₃=C₂	104	4-	D4.D13	208,16
Q₈⋊D₁₃	The semidirect product of Q₈ and D₁₃ acting via D₁₃/C₁₃=C₂	104	4+	Q8:D13	208,17
C₂³.D₁₃	The non-split extension by C₂³ of D₁₃ acting via D₁₃/C₁₃=C₂	104		C2^3.D13	208,19
C₁₃×C₂²⋊C₄	Direct product of C₁₃ and C₂²⋊C₄	104		C13xC2^2:C4	208,21
C₁₃×M₄(2)	Direct product of C₁₃ and M₄(2)	104	2	C13xM4(2)	208,24
C₁₃×D₈	Direct product of C₁₃ and D₈	104	2	C13xD8	208,25
C₁₃×SD₁₆	Direct product of C₁₃ and SD₁₆	104	2	C13xSD16	208,26
D₁₃⋊C₈	The semidirect product of D₁₃ and C₈ acting via C₈/C₄=C₂	104	4	D13:C8	208,28
C₅₂.C₄	1^st non-split extension by C₅₂ of C₄ acting faithfully	104	4	C52.C4	208,29
C₁₃⋊M₄(2)	The semidirect product of C₁₃ and M₄(2) acting via M₄(2)/C₂²=C₄	104	4-	C13:M4(2)	208,33
C₂×C₄×D₁₃	Direct product of C₂×C₄ and D₁₃	104		C2xC4xD13	208,36
C₂×D₅₂	Direct product of C₂ and D₅₂	104		C2xD52	208,37
D₅₂⋊₅C₂	The semidirect product of D₅₂ and C₂ acting through Inn(D₅₂)	104	2	D52:5C2	208,38
D₄⋊₂D₁₃	The semidirect product of D₄ and D₁₃ acting through Inn(D₄)	104	4-	D4:2D13	208,40
Q₈×D₁₃	Direct product of Q₈ and D₁₃	104	4-	Q8xD13	208,41
D₅₂⋊C₂	4^th semidirect product of D₅₂ and C₂ acting faithfully	104	4+	D52:C2	208,42
C₂×C₁₃⋊D₄	Direct product of C₂ and C₁₃⋊D₄	104		C2xC13:D4	208,44
D₄×C₂₆	Direct product of C₂₆ and D₄	104		D4xC26	208,46
C₁₃×C₄○D₄	Direct product of C₁₃ and C₄○D₄	104	2	C13xC4oD4	208,48
C₂³×D₁₃	Direct product of C₂³ and D₁₃	104		C2^3xD13	208,50

Groups of order 312

		d	ρ	Label	ID
C₁₃⋊₂C₂₄	The semidirect product of C₁₃ and C₂₄ acting via C₂₄/C₄=C₆	104	6	C13:2C24	312,1
C₈×C₁₃⋊C₃	Direct product of C₈ and C₁₃⋊C₃	104	3	C8xC13:C3	312,2
C₁₃⋊C₂₄	The semidirect product of C₁₃ and C₂₄ acting via C₂₄/C₂=C₁₂	104	12-	C13:C24	312,7
Dic₂₆⋊C₃	The semidirect product of Dic₂₆ and C₃ acting faithfully	104	6-	Dic26:C3	312,8
C₂×C₂₆.C₆	Direct product of C₂ and C₂₆.C₆	104		C2xC26.C6	312,11
C₂×C₄×C₁₃⋊C₃	Direct product of C₂×C₄ and C₁₃⋊C₃	104		C2xC4xC13:C3	312,22
Q₈×C₁₃⋊C₃	Direct product of Q₈ and C₁₃⋊C₃	104	6	Q8xC13:C3	312,24
C₁₃×SL₂(𝔽₃)	Direct product of C₁₃ and SL₂(𝔽₃)	104	2	C13xSL(2,3)	312,25
C₂₆.A₄	The non-split extension by C₂₆ of A₄ acting via A₄/C₂²=C₃	104	6	C26.A4	312,26
C₂³×C₁₃⋊C₃	Direct product of C₂³ and C₁₃⋊C₃	104		C2^3xC13:C3	312,55

Groups of order 416

		d	ρ	Label	ID
D₅₂⋊₄C₄	1^st semidirect product of D₅₂ and C₄ acting via C₄/C₂=C₂	104	2	D52:4C4	416,12
C₂².₂D₅₂	1^st non-split extension by C₂² of D₅₂ acting via D₅₂/D₂₆=C₂	104	4	C2^2.2D52	416,13
C₅₂.₄₆D₄	3^rd non-split extension by C₅₂ of D₄ acting via D₄/C₂²=C₂	104	4+	C52.46D4	416,30
D₅₂⋊₇C₄	4^th semidirect product of D₅₂ and C₄ acting via C₄/C₂=C₂	104	4	D52:7C4	416,32
C₅₂.D₄	8^th non-split extension by C₅₂ of D₄ acting via D₄/C₂=C₂²	104	4	C52.D4	416,40
C₂³⋊Dic₁₃	The semidirect product of C₂³ and Dic₁₃ acting via Dic₁₃/C₁₃=C₄	104	4	C2^3:Dic13	416,41
C₅₂.₅₆D₄	13^rd non-split extension by C₅₂ of D₄ acting via D₄/C₂²=C₂	104	4	C52.56D4	416,44
C₁₃×C₂³⋊C₄	Direct product of C₁₃ and C₂³⋊C₄	104	4	C13xC2^3:C4	416,49
C₁₃×C₄.D₄	Direct product of C₁₃ and C₄.D₄	104	4	C13xC4.D4	416,50
C₁₃×C₄≀C₂	Direct product of C₁₃ and C₄≀C₂	104	2	C13xC4wrC2	416,54
C₈×C₁₃⋊C₄	Direct product of C₈ and C₁₃⋊C₄	104	4	C8xC13:C4	416,66
C₁₀₄⋊C₄	4^th semidirect product of C₁₀₄ and C₄ acting faithfully	104	4	C104:C4	416,67
D₂₆.₈D₄	4^th non-split extension by D₂₆ of D₄ acting via D₄/C₄=C₂	104	4	D26.8D4	416,68
D₁₃.D₈	The non-split extension by D₁₃ of D₈ acting via D₈/C₈=C₂	104	4	D13.D8	416,69
D₂₆.D₄	1^st non-split extension by D₂₆ of D₄ acting via D₄/C₂=C₂²	104	4+	D26.D4	416,74
D₂₆.Q₈	3^rd non-split extension by D₂₆ of Q₈ acting via Q₈/C₄=C₂	104		D26.Q8	416,81
D₅₂⋊₁C₄	1^st semidirect product of D₅₂ and C₄ acting faithfully	104	8+	D52:1C4	416,82
Dic₂₆⋊C₄	1^st semidirect product of Dic₂₆ and C₄ acting faithfully	104	8-	Dic26:C4	416,83
D₁₃.Q₁₆	The non-split extension by D₁₃ of Q₁₆ acting via Q₁₆/Q₈=C₂	104	8-	D13.Q16	416,84
D₅₂⋊C₄	2^nd semidirect product of D₅₂ and C₄ acting faithfully	104	8+	D52:C4	416,85
D₂₆.₄D₄	4^th non-split extension by D₂₆ of D₄ acting via D₄/C₂=C₂²	104	4	D26.4D4	416,86
Dic₁₃.₄D₄	4^th non-split extension by Dic₁₃ of D₄ acting via D₄/C₂=C₂²	104	4	Dic13.4D4	416,88
C₂²⋊C₄×D₁₃	Direct product of C₂²⋊C₄ and D₁₃	104		C2^2:C4xD13	416,101
C₂²⋊D₅₂	The semidirect product of C₂² and D₅₂ acting via D₅₂/D₂₆=C₂	104		C2^2:D52	416,103
M₄(2)×D₁₃	Direct product of M₄(2) and D₁₃	104	4	M4(2)xD13	416,127
C₈⋊D₂₆	1^st semidirect product of C₈ and D₂₆ acting via D₂₆/C₁₃=C₂²	104	4+	C8:D26	416,129
D₈×D₁₃	Direct product of D₈ and D₁₃	104	4+	D8xD13	416,131
D₈⋊D₁₃	2^nd semidirect product of D₈ and D₁₃ acting via D₁₃/C₁₃=C₂	104	4	D8:D13	416,132
SD₁₆×D₁₃	Direct product of SD₁₆ and D₁₃	104	4	SD16xD13	416,134
Q₈⋊D₂₆	2^nd semidirect product of Q₈ and D₂₆ acting via D₂₆/D₁₃=C₂	104	4+	Q8:D26	416,135
D₅₂⋊₆C₂²	4^th semidirect product of D₅₂ and C₂² acting via C₂²/C₂=C₂	104	4	D52:6C2^2	416,153
C₂³⋊D₂₆	1^st semidirect product of C₂³ and D₂₆ acting via D₂₆/C₁₃=C₂²	104		C2^3:D26	416,158
D₄⋊D₂₆	2^nd semidirect product of D₄ and D₂₆ acting via D₂₆/C₂₆=C₂	104	4+	D4:D26	416,170
C₂⁴⋊D₁₃	1^st semidirect product of C₂⁴ and D₁₃ acting via D₁₃/C₁₃=C₂	104		C2^4:D13	416,174
C₁₃×C₂²≀C₂	Direct product of C₁₃ and C₂²≀C₂	104		C13xC2^2wrC2	416,181
C₁₃×C₈⋊C₂²	Direct product of C₁₃ and C₈⋊C₂²	104	4	C13xC8:C2^2	416,197
D₁₃⋊M₄(2)	The semidirect product of D₁₃ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	104	4	D13:M4(2)	416,201
C₂×C₄×C₁₃⋊C₄	Direct product of C₂×C₄ and C₁₃⋊C₄	104		C2xC4xC13:C4	416,202
C₂×C₅₂⋊C₄	Direct product of C₂ and C₅₂⋊C₄	104		C2xC52:C4	416,203
D₂₆.C₂³	11^st non-split extension by D₂₆ of C₂³ acting via C₂³/C₂²=C₂	104	4	D26.C2^3	416,204
Q₈×C₁₃⋊C₄	Direct product of Q₈ and C₁₃⋊C₄	104	8-	Q8xC13:C4	416,208
C₂×D₁₃.D₄	Direct product of C₂ and D₁₃.D₄	104		C2xD13.D4	416,211
C₂×D₄×D₁₃	Direct product of C₂, D₄ and D₁₃	104		C2xD4xD13	416,216
D₄⋊₆D₂₆	2^nd semidirect product of D₄ and D₂₆ acting through Inn(D₄)	104	4	D4:6D26	416,218
C₄○D₄×D₁₃	Direct product of C₄○D₄ and D₁₃	104	4	C4oD4xD13	416,222
D₄⋊₈D₂₆	4^th semidirect product of D₄ and D₂₆ acting through Inn(D₄)	104	4+	D4:8D26	416,223
C₁₃×2₊¹⁺⁴	Direct product of C₁₃ and 2₊¹⁺⁴	104	4	C13xES+(2,2)	416,231
C₂³×C₁₃⋊C₄	Direct product of C₂³ and C₁₃⋊C₄	104		C2^3xC13:C4	416,233

On 105 points

Groups of order 105

		d	ρ	Label	ID
C₁₀₅	Cyclic group	105	1	C105	105,2

Groups of order 210

		d	ρ	Label	ID
D₇×C₁₅	Direct product of C₁₅ and D₇	105	2	D7xC15	210,5
D₅×C₂₁	Direct product of C₂₁ and D₅	105	2	D5xC21	210,6
C₃×D₃₅	Direct product of C₃ and D₃₅	105	2	C3xD35	210,7
S₃×C₃₅	Direct product of C₃₅ and S₃	105	2	S3xC35	210,8
C₅×D₂₁	Direct product of C₅ and D₂₁	105	2	C5xD21	210,9
C₇×D₁₅	Direct product of C₇ and D₁₅	105	2	C7xD15	210,10
D₁₀₅	Dihedral group	105	2+	D105	210,11

Groups of order 315

		d	ρ	Label	ID
C₁₅×C₇⋊C₃	Direct product of C₁₅ and C₇⋊C₃	105	3	C15xC7:C3	315,3

Groups of order 420

		d	ρ	Label	ID
F₅×C₂₁	Direct product of C₂₁ and F₅	105	4	F5xC21	420,20
C₃×C₇⋊F₅	Direct product of C₃ and C₇⋊F₅	105	4	C3xC7:F5	420,21
C₇×C₃⋊F₅	Direct product of C₇ and C₃⋊F₅	105	4	C7xC3:F5	420,22
C₅⋊Dic₂₁	The semidirect product of C₅ and Dic₂₁ acting via Dic₂₁/C₂₁=C₄	105	4	C5:Dic21	420,23
C₃×D₅×D₇	Direct product of C₃, D₅ and D₇	105	4	C3xD5xD7	420,24
C₅×S₃×D₇	Direct product of C₅, S₃ and D₇	105	4	C5xS3xD7	420,25
D₇×D₁₅	Direct product of D₇ and D₁₅	105	4+	D7xD15	420,26
S₃×C₇×D₅	Direct product of C₇, S₃ and D₅	105	4	S3xC7xD5	420,27
D₅×D₂₁	Direct product of D₅ and D₂₁	105	4+	D5xD21	420,28
S₃×D₃₅	Direct product of S₃ and D₃₅	105	4+	S3xD35	420,29
D₁₅⋊D₇	The semidirect product of D₁₅ and D₇ acting via D₇/C₇=C₂	105	4	D15:D7	420,30

On 106 points

Groups of order 106

		d	ρ	Label	ID
C₁₀₆	Cyclic group	106	1	C106	106,2

Groups of order 212

		d	ρ	Label	ID
D₁₀₆	Dihedral group; = C₂×D₅₃	106	2+	D106	212,4

Groups of order 424

		d	ρ	Label	ID
C₂×C₅₃⋊C₄	Direct product of C₂ and C₅₃⋊C₄	106	4+	C2xC53:C4	424,12

On 107 points

Groups of order 107

		d	ρ	Label	ID
C₁₀₇	Cyclic group	107	1	C107	107,1

Groups of order 214

		d	ρ	Label	ID
D₁₀₇	Dihedral group	107	2+	D107	214,1

On 108 points

Groups of order 108

		d	ρ	Label	ID
Dic₂₇	Dicyclic group; = C₂₇ ⋊C₄	108	2-	Dic27	108,1
C₁₀₈	Cyclic group	108	1	C108	108,2
C₂×C₅₄	Abelian group of type [2,54]	108		C2xC54	108,5
C₉⋊Dic₃	The semidirect product of C₉ and Dic₃ acting via Dic₃/C₆=C₂	108		C9:Dic3	108,10
C₃×C₃₆	Abelian group of type [3,36]	108		C3xC36	108,12
C₆×C₁₈	Abelian group of type [6,18]	108		C6xC18	108,29
C₃³⋊₅C₄	3^rd semidirect product of C₃³ and C₄ acting via C₄/C₂=C₂	108		C3^3:5C4	108,34
C₃²×C₁₂	Abelian group of type [3,3,12]	108		C3^2xC12	108,35
C₃×C₆²	Abelian group of type [3,6,6]	108		C3xC6^2	108,45

Groups of order 216

		d	ρ	Label	ID
C₄×D₂₇	Direct product of C₄ and D₂₇	108	2	C4xD27	216,5
D₁₀₈	Dihedral group	108	2+	D108	216,6
C₂₇⋊D₄	The semidirect product of C₂₇ and D₄ acting via D₄/C₂²=C₂	108	2	C27:D4	216,8
D₄×C₂₇	Direct product of C₂₇ and D₄	108	2	D4xC27	216,10
C₂²×D₂₇	Direct product of C₂² and D₂₇	108		C2^2xD27	216,23
C₄×C₉⋊S₃	Direct product of C₄ and C₉⋊S₃	108		C4xC9:S3	216,64
C₃₆⋊S₃	1^st semidirect product of C₃₆ and S₃ acting via S₃/C₃=C₂	108		C36:S3	216,65
C₆.D₁₈	11^st non-split extension by C₆ of D₁₈ acting via D₁₈/C₁₈=C₂	108		C6.D18	216,70
D₄×C₃×C₉	Direct product of C₃×C₉ and D₄	108		D4xC3xC9	216,76
C₂²×C₉⋊S₃	Direct product of C₂² and C₉⋊S₃	108		C2^2xC9:S3	216,112
C₄×C₃³⋊C₂	Direct product of C₄ and C₃³⋊C₂	108		C4xC3^3:C2	216,146
C₃³⋊₁₂D₄	3^rd semidirect product of C₃³ and D₄ acting via D₄/C₄=C₂	108		C3^3:12D4	216,147
C₃³⋊₁₅D₄	3^rd semidirect product of C₃³ and D₄ acting via D₄/C₂²=C₂	108		C3^3:15D4	216,149
D₄×C₃³	Direct product of C₃³ and D₄	108		D4xC3^3	216,151
C₂²×C₃³⋊C₂	Direct product of C₂² and C₃³⋊C₂	108		C2^2xC3^3:C2	216,176

Groups of order 324

		d	ρ	Label	ID
C₃²⋊Dic₉	1^st semidirect product of C₃² and Dic₉ acting via Dic₉/C₆=S₃	108		C3^2:Dic9	324,8
C₃×Dic₂₇	Direct product of C₃ and Dic₂₇	108	2	C3xDic27	324,10
Dic₃×C₂₇	Direct product of C₂₇ and Dic₃	108	2	Dic3xC27	324,11
C₂₇⋊C₁₂	The semidirect product of C₂₇ and C₁₂ acting via C₁₂/C₂=C₆	108	6-	C27:C12	324,12
He₃.C₁₂	1^st non-split extension by He₃ of C₁₂ acting via C₁₂/C₂=C₆	108	3	He3.C12	324,15
He₃.Dic₃	1^st non-split extension by He₃ of Dic₃ acting via Dic₃/C₂=S₃	108	6-	He3.Dic3	324,16
He₃.₂C₁₂	2^nd non-split extension by He₃ of C₁₂ acting via C₁₂/C₂=C₆	108	3	He3.2C12	324,17
He₃.₂Dic₃	2^nd non-split extension by He₃ of Dic₃ acting via Dic₃/C₂=S₃	108	6-	He3.2Dic3	324,18
He₃.₃Dic₃	3^rd non-split extension by He₃ of Dic₃ acting via Dic₃/C₂=S₃	108	6-	He3.3Dic3	324,23
He₃⋊Dic₃	3^rd semidirect product of He₃ and Dic₃ acting via Dic₃/C₂=S₃	108	6-	He3:Dic3	324,24
3_-¹⁺².Dic₃	The non-split extension by 3_-¹⁺² of Dic₃ acting via Dic₃/C₂=S₃	108	6-	ES-(3,1).Dic3	324,25
C₄×C₃²⋊C₉	Direct product of C₄ and C₃²⋊C₉	108		C4xC3^2:C9	324,27
C₄×C₂₇⋊C₃	Direct product of C₄ and C₂₇⋊C₃	108	3	C4xC27:C3	324,30
C₄×He₃.C₃	Direct product of C₄ and He₃.C₃	108	3	C4xHe3.C3	324,32
C₄×He₃⋊C₃	Direct product of C₄ and He₃⋊C₃	108	3	C4xHe3:C3	324,33
C₄×C₃.He₃	Direct product of C₄ and C₃.He₃	108	3	C4xC3.He3	324,34
A₄×C₂₇	Direct product of C₂₇ and A₄	108	3	A4xC27	324,42
C₂₇⋊A₄	The semidirect product of C₂₇ and A₄ acting via A₄/C₂²=C₃	108	3	C27:A4	324,43
C₆².₁₆C₃²	7^th non-split extension by C₆² of C₃² acting via C₃²/C₃=C₃	108		C6^2.16C3^2	324,52
C₆×D₂₇	Direct product of C₆ and D₂₇	108	2	C6xD27	324,65
S₃×C₅₄	Direct product of C₅₄ and S₃	108	2	S3xC54	324,66
C₂²×C₃²⋊C₉	Direct product of C₂² and C₃²⋊C₉	108		C2^2xC3^2:C9	324,82
C₂²×C₂₇⋊C₃	Direct product of C₂² and C₂₇⋊C₃	108		C2^2xC27:C3	324,85
C₂²×He₃.C₃	Direct product of C₂² and He₃.C₃	108		C2^2xHe3.C3	324,87
C₂²×He₃⋊C₃	Direct product of C₂² and He₃⋊C₃	108		C2^2xHe3:C3	324,88
C₂²×C₃.He₃	Direct product of C₂² and C₃.He₃	108		C2^2xC3.He3	324,89
C₃²×Dic₉	Direct product of C₃² and Dic₉	108		C3^2xDic9	324,90
Dic₃×C₃×C₉	Direct product of C₃×C₉ and Dic₃	108		Dic3xC3xC9	324,91
C₃×C₉⋊Dic₃	Direct product of C₃ and C₉⋊Dic₃	108		C3xC9:Dic3	324,96
C₉×C₃⋊Dic₃	Direct product of C₉ and C₃⋊Dic₃	108		C9xC3:Dic3	324,97
C₃³⋊₄C₁₂	4^th semidirect product of C₃³ and C₁₂ acting via C₁₂/C₂=C₆	108		C3^3:4C12	324,98
C₃×He₃⋊₃C₄	Direct product of C₃ and He₃⋊₃C₄	108		C3xHe3:3C4	324,99
C₃³.Dic₃	4^th non-split extension by C₃³ of Dic₃ acting via Dic₃/C₂=S₃	108		C3^3.Dic3	324,100
He₃.₄Dic₃	The non-split extension by He₃ of Dic₃ acting via Dic₃/C₆=C₂	108	6-	He3.4Dic3	324,101
He₃.₅C₁₂	The non-split extension by He₃ of C₁₂ acting via C₁₂/C₆=C₂	108	3	He3.5C12	324,102
C₁₂×He₃	Direct product of C₁₂ and He₃	108		C12xHe3	324,106
C₁₂×3_-¹⁺²	Direct product of C₁₂ and 3_-¹⁺²	108		C12xES-(3,1)	324,107
C₄×C₉○He₃	Direct product of C₄ and C₉○He₃	108	3	C4xC9oHe3	324,108
A₄×C₃×C₉	Direct product of C₃×C₉ and A₄	108		A4xC3xC9	324,126
C₃×C₉⋊A₄	Direct product of C₃ and C₉⋊A₄	108		C3xC9:A4	324,127
D₉×C₃×C₆	Direct product of C₃×C₆ and D₉	108		D9xC3xC6	324,136
S₃×C₃×C₁₈	Direct product of C₃×C₁₈ and S₃	108		S3xC3xC18	324,137
C₆×C₉⋊S₃	Direct product of C₆ and C₉⋊S₃	108		C6xC9:S3	324,142
C₁₈×C₃⋊S₃	Direct product of C₁₈ and C₃⋊S₃	108		C18xC3:S3	324,143
C₂×C₆×He₃	Direct product of C₂×C₆ and He₃	108		C2xC6xHe3	324,152
C₂×C₆×3_-¹⁺²	Direct product of C₂×C₆ and 3_-¹⁺²	108		C2xC6xES-(3,1)	324,153
C₂²×C₉○He₃	Direct product of C₂² and C₉○He₃	108		C2^2xC9oHe3	324,154
Dic₃×C₃³	Direct product of C₃³ and Dic₃	108		Dic3xC3^3	324,155
C₃×C₃³⋊₅C₄	Direct product of C₃ and C₃³⋊₅C₄	108		C3xC3^3:5C4	324,157
A₄×C₃³	Direct product of C₃³ and A₄	108		A4xC3^3	324,171
S₃×C₃²×C₆	Direct product of C₃²×C₆ and S₃	108		S3xC3^2xC6	324,172
C₆×C₃³⋊C₂	Direct product of C₆ and C₃³⋊C₂	108		C6xC3^3:C2	324,174

Groups of order 432

		d	ρ	Label	ID
C₄²⋊C₂₇	The semidirect product of C₄² and C₂₇ acting via C₂₇/C₉=C₃	108	3	C4^2:C27	432,3
C₁₈.S₄	3^rd non-split extension by C₁₈ of S₄ acting via S₄/A₄=C₂	108	6-	C18.S4	432,39
C₄×C₉.A₄	Direct product of C₄ and C₉.A₄	108	3	C4xC9.A4	432,40
D₄×D₂₇	Direct product of D₄ and D₂₇	108	4+	D4xD27	432,47
C₉×C₄²⋊C₃	Direct product of C₉ and C₄²⋊C₃	108	3	C9xC4^2:C3	432,99
C₄²⋊3_-¹⁺²	The semidirect product of C₄² and 3_-¹⁺² acting via 3_-¹⁺²/C₉=C₃	108	3	C4^2:ES-(3,1)	432,100
C₃×C₄²⋊C₉	Direct product of C₃ and C₄²⋊C₉	108		C3xC4^2:C9	432,101
C₂²×C₉.A₄	Direct product of C₂² and C₉.A₄	108		C2^2xC9.A4	432,225
C₂⁴⋊C₂₇	2^nd semidirect product of C₂⁴ and C₂₇ acting via C₂₇/C₉=C₃	108		C2^4:C27	432,226
C₉×A₄⋊C₄	Direct product of C₉ and A₄⋊C₄	108	3	C9xA4:C4	432,242
A₄⋊Dic₉	The semidirect product of A₄ and Dic₉ acting via Dic₉/C₁₈=C₂	108	6-	A4:Dic9	432,254
C₆².₁₀Dic₃	10^th non-split extension by C₆² of Dic₃ acting via Dic₃/C₂=S₃	108		C6^2.10Dic3	432,259
Dic₉⋊A₄	The semidirect product of Dic₉ and A₄ acting via A₄/C₂²=C₃	108	6-	Dic9:A4	432,265
A₄×Dic₉	Direct product of A₄ and Dic₉	108	6-	A4xDic9	432,266
A₄×C₃₆	Direct product of C₃₆ and A₄	108	3	A4xC36	432,325
C₄×C₉⋊A₄	Direct product of C₄ and C₉⋊A₄	108	3	C4xC9:A4	432,326
C₁₂×C₃.A₄	Direct product of C₁₂ and C₃.A₄	108		C12xC3.A4	432,331
D₄×C₉⋊S₃	Direct product of D₄ and C₉⋊S₃	108		D4xC9:S3	432,388
C₃²×C₄²⋊C₃	Direct product of C₃² and C₄²⋊C₃	108		C3^2xC4^2:C3	432,463
A₄×C₂×C₁₈	Direct product of C₂×C₁₈ and A₄	108		A4xC2xC18	432,546
C₂²×C₉⋊A₄	Direct product of C₂² and C₉⋊A₄	108		C2^2xC9:A4	432,547
C₂×C₆×C₃.A₄	Direct product of C₂×C₆ and C₃.A₄	108		C2xC6xC3.A4	432,548
C₉×C₂²⋊A₄	Direct product of C₉ and C₂²⋊A₄	108		C9xC2^2:A4	432,551
C₂⁴⋊₄3_-¹⁺²	2^nd semidirect product of C₂⁴ and 3_-¹⁺² acting via 3_-¹⁺²/C₉=C₃	108		C2^4:4ES-(3,1)	432,552
C₃×C₂⁴⋊C₉	Direct product of C₃ and C₂⁴⋊C₉	108		C3xC2^4:C9	432,553
C₃²×A₄⋊C₄	Direct product of C₃² and A₄⋊C₄	108		C3^2xA4:C4	432,615
C₆²⋊₁₀Dic₃	9^th semidirect product of C₆² and Dic₃ acting via Dic₃/C₂=S₃	108		C6^2:10Dic3	432,621
A₄×C₃⋊Dic₃	Direct product of A₄ and C₃⋊Dic₃	108		A4xC3:Dic3	432,627
A₄×C₃×C₁₂	Direct product of C₃×C₁₂ and A₄	108		A4xC3xC12	432,697
D₄×C₃³⋊C₂	Direct product of D₄ and C₃³⋊C₂	108		D4xC3^3:C2	432,724
A₄×C₆²	Direct product of C₆² and A₄	108		A4xC6^2	432,770
C₃²×C₂²⋊A₄	Direct product of C₃² and C₂²⋊A₄	108		C3^2xC2^2:A4	432,771

On 109 points

Groups of order 109

		d	ρ	Label	ID
C₁₀₉	Cyclic group	109	1	C109	109,1

Groups of order 218

		d	ρ	Label	ID
D₁₀₉	Dihedral group	109	2+	D109	218,1

Groups of order 327

		d	ρ	Label	ID
C₁₀₉⋊C₃	The semidirect product of C₁₀₉ and C₃ acting faithfully	109	3	C109:C3	327,1

Groups of order 436

		d	ρ	Label	ID
C₁₀₉⋊C₄	The semidirect product of C₁₀₉ and C₄ acting faithfully	109	4+	C109:C4	436,3

On 110 points

Groups of order 110

		d	ρ	Label	ID
C₁₁₀	Cyclic group	110	1	C110	110,6

Groups of order 220

		d	ρ	Label	ID
C₁₀×D₁₁	Direct product of C₁₀ and D₁₁	110	2	C10xD11	220,12
D₅×C₂₂	Direct product of C₂₂ and D₅	110	2	D5xC22	220,13
D₁₁₀	Dihedral group; = C₂×D₅₅	110	2+	D110	220,14

Groups of order 440

		d	ρ	Label	ID
F₅×C₂₂	Direct product of C₂₂ and F₅	110	4	F5xC22	440,45
C₂×C₁₁⋊F₅	Direct product of C₂ and C₁₁⋊F₅	110	4	C2xC11:F5	440,46
C₂×D₅×D₁₁	Direct product of C₂, D₅ and D₁₁	110	4+	C2xD5xD11	440,47

On 111 points

Groups of order 111

		d	ρ	Label	ID
C₁₁₁	Cyclic group	111	1	C111	111,2

Groups of order 222

		d	ρ	Label	ID
S₃×C₃₇	Direct product of C₃₇ and S₃	111	2	S3xC37	222,3
C₃×D₃₇	Direct product of C₃ and D₃₇	111	2	C3xD37	222,4
D₁₁₁	Dihedral group	111	2+	D111	222,5

Groups of order 333

		d	ρ	Label	ID
C₃×C₃₇⋊C₃	Direct product of C₃ and C₃₇⋊C₃	111	3	C3xC37:C3	333,4

Groups of order 444

		d	ρ	Label	ID
C₃×C₃₇⋊C₄	Direct product of C₃ and C₃₇⋊C₄	111	4	C3xC37:C4	444,9
C₃₇⋊Dic₃	The semidirect product of C₃₇ and Dic₃ acting via Dic₃/C₃=C₄	111	4	C37:Dic3	444,10
S₃×D₃₇	Direct product of S₃ and D₃₇	111	4+	S3xD37	444,11

On 112 points

Groups of order 112

		d	ρ	Label	ID
C₇⋊C₁₆	The semidirect product of C₇ and C₁₆ acting via C₁₆/C₈=C₂	112	2	C7:C16	112,1
C₁₁₂	Cyclic group	112	1	C112	112,2
Dic₂₈	Dicyclic group; = C₇ ⋊₁ Q₁₆	112	2-	Dic28	112,7
C₂×C₇⋊C₈	Direct product of C₂ and C₇⋊C₈	112		C2xC7:C8	112,8
C₄×Dic₇	Direct product of C₄ and Dic₇	112		C4xDic7	112,10
Dic₇⋊C₄	The semidirect product of Dic₇ and C₄ acting via C₄/C₂=C₂	112		Dic7:C4	112,11
C₄⋊Dic₇	The semidirect product of C₄ and Dic₇ acting via Dic₇/C₁₄=C₂	112		C4:Dic7	112,12
C₇⋊Q₁₆	The semidirect product of C₇ and Q₁₆ acting via Q₁₆/Q₈=C₂	112	4-	C7:Q16	112,17
C₄×C₂₈	Abelian group of type [4,28]	112		C4xC28	112,19
C₇×C₄⋊C₄	Direct product of C₇ and C₄⋊C₄	112		C7xC4:C4	112,21
C₂×C₅₆	Abelian group of type [2,56]	112		C2xC56	112,22
C₇×Q₁₆	Direct product of C₇ and Q₁₆	112	2	C7xQ16	112,26
C₂×Dic₁₄	Direct product of C₂ and Dic₁₄	112		C2xDic14	112,27
C₂²×Dic₇	Direct product of C₂² and Dic₇	112		C2^2xDic7	112,35
C₂²×C₂₈	Abelian group of type [2,2,28]	112		C2^2xC28	112,37
Q₈×C₁₄	Direct product of C₁₄ and Q₈	112		Q8xC14	112,39
C₂³×C₁₄	Abelian group of type [2,2,2,14]	112		C2^3xC14	112,43

Groups of order 224

		d	ρ	Label	ID
D₇×C₁₆	Direct product of C₁₆ and D₇	112	2	D7xC16	224,3
C₁₆⋊D₇	3^rd semidirect product of C₁₆ and D₇ acting via D₇/C₇=C₂	112	2	C16:D7	224,4
D₁₁₂	Dihedral group	112	2+	D112	224,5
C₁₁₂⋊C₂	2^nd semidirect product of C₁₁₂ and C₂ acting faithfully	112	2	C112:C2	224,6
C₁₄.D₈	2^nd non-split extension by C₁₄ of D₈ acting via D₈/D₄=C₂	112		C14.D8	224,15
C₂₈.C₈	1^st non-split extension by C₂₈ of C₈ acting via C₈/C₄=C₂	112	2	C28.C8	224,18
C₅₆.C₄	1^st non-split extension by C₅₆ of C₄ acting via C₄/C₂=C₂	112	2	C56.C4	224,25
D₁₄⋊C₈	The semidirect product of D₁₄ and C₈ acting via C₈/C₄=C₂	112		D14:C8	224,26
C₂.D₅₆	2^nd central extension by C₂ of D₅₆	112		C2.D56	224,27
C₂₈.₅₃D₄	10^th non-split extension by C₂₈ of D₄ acting via D₄/C₂²=C₂	112	4	C28.53D4	224,28
C₄.₁₂D₂₈	4^th non-split extension by C₄ of D₂₈ acting via D₂₈/D₁₄=C₂	112	4-	C4.12D28	224,30
C₇⋊D₁₆	The semidirect product of C₇ and D₁₆ acting via D₁₆/D₈=C₂	112	4+	C7:D16	224,32
D₈.D₇	The non-split extension by D₈ of D₇ acting via D₇/C₇=C₂	112	4-	D8.D7	224,33
C₇⋊SD₃₂	The semidirect product of C₇ and SD₃₂ acting via SD₃₂/Q₁₆=C₂	112	4+	C7:SD32	224,34
C₂₈.₅₅D₄	12^nd non-split extension by C₂₈ of D₄ acting via D₄/C₂²=C₂	112		C28.55D4	224,36
D₄⋊Dic₇	1^st semidirect product of D₄ and Dic₇ acting via Dic₇/C₁₄=C₂	112		D4:Dic7	224,38
C₂₈.₁₀D₄	10^th non-split extension by C₂₈ of D₄ acting via D₄/C₂=C₂²	112	4	C28.10D4	224,42
C₇×C₂²⋊C₈	Direct product of C₇ and C₂²⋊C₈	112		C7xC2^2:C8	224,47
C₇×C₄.₁₀D₄	Direct product of C₇ and C₄.₁₀D₄	112	4	C7xC4.10D4	224,50
C₇×D₄⋊C₄	Direct product of C₇ and D₄⋊C₄	112		C7xD4:C4	224,51
C₇×C₈.C₄	Direct product of C₇ and C₈.C₄	112	2	C7xC8.C4	224,57
C₇×M₅(2)	Direct product of C₇ and M₅(2)	112	2	C7xM5(2)	224,59
C₇×D₁₆	Direct product of C₇ and D₁₆	112	2	C7xD16	224,60
C₇×SD₃₂	Direct product of C₇ and SD₃₂	112	2	C7xSD32	224,61
D₇×C₄²	Direct product of C₄² and D₇	112		D7xC4^2	224,66
C₄²⋊D₇	1^st semidirect product of C₄² and D₇ acting via D₇/C₇=C₂	112		C4^2:D7	224,67
C₄×D₂₈	Direct product of C₄ and D₂₈	112		C4xD28	224,68
C₂₈⋊₄D₄	1^st semidirect product of C₂₈ and D₄ acting via D₄/C₄=C₂	112		C28:4D4	224,69
C₄.D₂₈	5^th non-split extension by C₄ of D₂₈ acting via D₂₈/C₂₈=C₂	112		C4.D28	224,70
C₄²⋊₂D₇	2^nd semidirect product of C₄² and D₇ acting via D₇/C₇=C₂	112		C4^2:2D7	224,71
C₂³.₁₁D₁₄	1^st non-split extension by C₂³ of D₁₄ acting via D₁₄/D₇=C₂	112		C2^3.11D14	224,72
C₂²⋊Dic₁₄	The semidirect product of C₂² and Dic₁₄ acting via Dic₁₄/Dic₇=C₂	112		C2^2:Dic14	224,73
C₂³.D₁₄	3^rd non-split extension by C₂³ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^3.D14	224,74
Dic₇⋊₄D₄	1^st semidirect product of Dic₇ and D₄ acting through Inn(Dic₇)	112		Dic7:4D4	224,76
D₁₄.D₄	1^st non-split extension by D₁₄ of D₄ acting via D₄/C₂²=C₂	112		D14.D4	224,78
D₁₄⋊D₄	1^st semidirect product of D₁₄ and D₄ acting via D₄/C₄=C₂	112		D14:D4	224,79
Dic₇.D₄	1^st non-split extension by Dic₇ of D₄ acting via D₄/C₄=C₂	112		Dic7.D4	224,80
C₂².D₂₈	3^rd non-split extension by C₂² of D₂₈ acting via D₂₈/D₁₄=C₂	112		C2^2.D28	224,81
D₇×C₄⋊C₄	Direct product of D₇ and C₄⋊C₄	112		D7xC4:C4	224,86
C₄⋊C₄⋊₇D₇	1^st semidirect product of C₄⋊C₄ and D₇ acting through Inn(C₄⋊C₄)	112		C4:C4:7D7	224,87
D₂₈⋊C₄	5^th semidirect product of D₂₈ and C₄ acting via C₄/C₂=C₂	112		D28:C4	224,88
D₁₄.₅D₄	2^nd non-split extension by D₁₄ of D₄ acting via D₄/C₂²=C₂	112		D14.5D4	224,89
C₄⋊D₂₈	The semidirect product of C₄ and D₂₈ acting via D₂₈/D₁₄=C₂	112		C4:D28	224,90
D₁₄⋊Q₈	1^st semidirect product of D₁₄ and Q₈ acting via Q₈/C₄=C₂	112		D14:Q8	224,91
D₁₄⋊₂Q₈	2^nd semidirect product of D₁₄ and Q₈ acting via Q₈/C₄=C₂	112		D14:2Q8	224,92
C₄⋊C₄⋊D₇	6^th semidirect product of C₄⋊C₄ and D₇ acting via D₇/C₇=C₂	112		C4:C4:D7	224,93
D₇×C₂×C₈	Direct product of C₂×C₈ and D₇	112		D7xC2xC8	224,94
C₂×C₈⋊D₇	Direct product of C₂ and C₈⋊D₇	112		C2xC8:D7	224,95
D₂₈.₂C₄	The non-split extension by D₂₈ of C₄ acting through Inn(D₂₈)	112	2	D28.2C4	224,96
C₂×C₅₆⋊C₂	Direct product of C₂ and C₅₆⋊C₂	112		C2xC56:C2	224,97
C₂×D₅₆	Direct product of C₂ and D₅₆	112		C2xD56	224,98
D₅₆⋊₇C₂	The semidirect product of D₅₆ and C₂ acting through Inn(D₅₆)	112	2	D56:7C2	224,99
D₂₈.C₄	The non-split extension by D₂₈ of C₄ acting via C₄/C₂=C₂	112	4	D28.C4	224,102
C₈.D₁₄	1^st non-split extension by C₈ of D₁₄ acting via D₁₄/C₇=C₂²	112	4-	C8.D14	224,104
D₈⋊₃D₇	The semidirect product of D₈ and D₇ acting through Inn(D₈)	112	4-	D8:3D7	224,107
SD₁₆⋊D₇	2^nd semidirect product of SD₁₆ and D₇ acting via D₇/C₇=C₂	112	4-	SD16:D7	224,110
SD₁₆⋊₃D₇	The semidirect product of SD₁₆ and D₇ acting through Inn(SD₁₆)	112	4	SD16:3D7	224,111
D₇×Q₁₆	Direct product of D₇ and Q₁₆	112	4-	D7xQ16	224,112
Q₁₆⋊D₇	2^nd semidirect product of Q₁₆ and D₇ acting via D₇/C₇=C₂	112	4	Q16:D7	224,113
Q₈.D₁₄	5^th non-split extension by Q₈ of D₁₄ acting via D₁₄/D₇=C₂	112	4+	Q8.D14	224,114
C₂×C₄.Dic₇	Direct product of C₂ and C₄.Dic₇	112		C2xC4.Dic7	224,116
C₂₈.₄₈D₄	5^th non-split extension by C₂₈ of D₄ acting via D₄/C₂²=C₂	112		C28.48D4	224,119
C₂³.₂₁D₁₄	2^nd non-split extension by C₂³ of D₁₄ acting via D₁₄/C₁₄=C₂	112		C2^3.21D14	224,121
C₂×D₁₄⋊C₄	Direct product of C₂ and D₁₄⋊C₄	112		C2xD14:C4	224,122
C₄×C₇⋊D₄	Direct product of C₄ and C₇⋊D₄	112		C4xC7:D4	224,123
C₂³.₂₃D₁₄	4^th non-split extension by C₂³ of D₁₄ acting via D₁₄/C₁₄=C₂	112		C2^3.23D14	224,124
C₂₈⋊₇D₄	1^st semidirect product of C₂₈ and D₄ acting via D₄/C₂²=C₂	112		C28:7D4	224,125
C₂×D₄⋊D₇	Direct product of C₂ and D₄⋊D₇	112		C2xD4:D7	224,126
C₂×D₄.D₇	Direct product of C₂ and D₄.D₇	112		C2xD4.D7	224,128
D₄×Dic₇	Direct product of D₄ and Dic₇	112		D4xDic7	224,129
C₂³.₁₈D₁₄	8^th non-split extension by C₂³ of D₁₄ acting via D₁₄/D₇=C₂	112		C2^3.18D14	224,130
C₂₈.₁₇D₄	17^th non-split extension by C₂₈ of D₄ acting via D₄/C₂=C₂²	112		C28.17D4	224,131
C₂₈⋊₂D₄	2^nd semidirect product of C₂₈ and D₄ acting via D₄/C₂=C₂²	112		C28:2D4	224,133
Dic₇⋊D₄	2^nd semidirect product of Dic₇ and D₄ acting via D₄/C₂²=C₂	112		Dic7:D4	224,134
C₂₈⋊D₄	3^rd semidirect product of C₂₈ and D₄ acting via D₄/C₂=C₂²	112		C28:D4	224,135
C₂×Q₈⋊D₇	Direct product of C₂ and Q₈⋊D₇	112		C2xQ8:D7	224,136
C₂₈.C₂³	15^th non-split extension by C₂₈ of C₂³ acting via C₂³/C₂=C₂²	112	4	C28.C2^3	224,137
D₁₄⋊₃Q₈	3^rd semidirect product of D₁₄ and Q₈ acting via Q₈/C₄=C₂	112		D14:3Q8	224,141
C₂₈.₂₃D₄	23^rd non-split extension by C₂₈ of D₄ acting via D₄/C₂=C₂²	112		C28.23D4	224,142
Q₈.Dic₇	The non-split extension by Q₈ of Dic₇ acting through Inn(Q₈)	112	4	Q8.Dic7	224,143
D₄.₈D₁₄	3^rd non-split extension by D₄ of D₁₄ acting via D₁₄/C₁₄=C₂	112	4	D4.8D14	224,145
D₄.₉D₁₄	4^th non-split extension by D₄ of D₁₄ acting via D₁₄/C₁₄=C₂	112	4-	D4.9D14	224,146
C₂×C₂³.D₇	Direct product of C₂ and C₂³.D₇	112		C2xC2^3.D7	224,147
C₁₄×C₂²⋊C₄	Direct product of C₁₄ and C₂²⋊C₄	112		C14xC2^2:C4	224,150
C₇×C₄²⋊C₂	Direct product of C₇ and C₄²⋊C₂	112		C7xC4^2:C2	224,152
D₄×C₂₈	Direct product of C₂₈ and D₄	112		D4xC28	224,153
C₇×C₄⋊D₄	Direct product of C₇ and C₄⋊D₄	112		C7xC4:D4	224,156
C₇×C₂²⋊Q₈	Direct product of C₇ and C₂²⋊Q₈	112		C7xC2^2:Q8	224,157
C₇×C₂².D₄	Direct product of C₇ and C₂².D₄	112		C7xC2^2.D4	224,158
C₇×C₄.₄D₄	Direct product of C₇ and C₄.₄D₄	112		C7xC4.4D4	224,159
C₇×C₄²⋊₂C₂	Direct product of C₇ and C₄²⋊₂C₂	112		C7xC4^2:2C2	224,161
C₇×C₄⋊₁D₄	Direct product of C₇ and C₄⋊₁D₄	112		C7xC4:1D4	224,162
C₁₄×M₄(2)	Direct product of C₁₄ and M₄(2)	112		C14xM4(2)	224,165
C₇×C₈○D₄	Direct product of C₇ and C₈○D₄	112	2	C7xC8oD4	224,166
C₁₄×D₈	Direct product of C₁₄ and D₈	112		C14xD8	224,167
C₁₄×SD₁₆	Direct product of C₁₄ and SD₁₆	112		C14xSD16	224,168
C₇×C₄○D₈	Direct product of C₇ and C₄○D₈	112	2	C7xC4oD8	224,170
C₇×C₈.C₂²	Direct product of C₇ and C₈.C₂²	112	4	C7xC8.C2^2	224,172
D₇×C₂²×C₄	Direct product of C₂²×C₄ and D₇	112		D7xC2^2xC4	224,175
C₂²×D₂₈	Direct product of C₂² and D₂₈	112		C2^2xD28	224,176
C₂×C₄○D₂₈	Direct product of C₂ and C₄○D₂₈	112		C2xC4oD28	224,177
C₂×D₄⋊₂D₇	Direct product of C₂ and D₄⋊₂D₇	112		C2xD4:2D7	224,179
C₂×Q₈×D₇	Direct product of C₂, Q₈ and D₇	112		C2xQ8xD7	224,181
C₂×Q₈⋊₂D₇	Direct product of C₂ and Q₈⋊₂D₇	112		C2xQ8:2D7	224,182
Q₈.₁₀D₁₄	1^st non-split extension by Q₈ of D₁₄ acting through Inn(Q₈)	112	4	Q8.10D14	224,183
D₄.₁₀D₁₄	The non-split extension by D₄ of D₁₄ acting through Inn(D₄)	112	4-	D4.10D14	224,186
C₂²×C₇⋊D₄	Direct product of C₂² and C₇⋊D₄	112		C2^2xC7:D4	224,188
D₄×C₂×C₁₄	Direct product of C₂×C₁₄ and D₄	112		D4xC2xC14	224,190
C₁₄×C₄○D₄	Direct product of C₁₄ and C₄○D₄	112		C14xC4oD4	224,192
C₇×2_-¹⁺⁴	Direct product of C₇ and 2_-¹⁺⁴	112	4	C7xES-(2,2)	224,194
D₇×C₂⁴	Direct product of C₂⁴ and D₇	112		D7xC2^4	224,196

Groups of order 336

		d	ρ	Label	ID
C₇⋊C₄₈	The semidirect product of C₇ and C₄₈ acting via C₄₈/C₈=C₆	112	6	C7:C48	336,1
C₁₆×C₇⋊C₃	Direct product of C₁₆ and C₇⋊C₃	112	3	C16xC7:C3	336,2
C₈.F₇	The non-split extension by C₈ of F₇ acting via F₇/C₇⋊C₃=C₂	112	6-	C8.F7	336,11
C₂×C₇⋊C₂₄	Direct product of C₂ and C₇⋊C₂₄	112		C2xC7:C24	336,12
C₄×C₇⋊C₁₂	Direct product of C₄ and C₇⋊C₁₂	112		C4xC7:C12	336,14
Dic₇⋊C₁₂	The semidirect product of Dic₇ and C₁₂ acting via C₁₂/C₂=C₆	112		Dic7:C12	336,15
C₂₈⋊C₁₂	1^st semidirect product of C₂₈ and C₁₂ acting via C₁₂/C₂=C₆	112		C28:C12	336,16
Q₈.₂F₇	The non-split extension by Q₈ of F₇ acting via F₇/C₇⋊C₃=C₂	112	12-	Q8.2F7	336,21
C₄²×C₇⋊C₃	Direct product of C₄² and C₇⋊C₃	112		C4^2xC7:C3	336,48
C₄⋊C₄×C₇⋊C₃	Direct product of C₄⋊C₄ and C₇⋊C₃	112		C4:C4xC7:C3	336,50
C₂×C₈×C₇⋊C₃	Direct product of C₂×C₈ and C₇⋊C₃	112		C2xC8xC7:C3	336,51
Q₁₆×C₇⋊C₃	Direct product of Q₁₆ and C₇⋊C₃	112	6	Q16xC7:C3	336,55
C₇×CSU₂(𝔽₃)	Direct product of C₇ and CSU₂(𝔽₃)	112	2	C7xCSU(2,3)	336,115
Q₈.D₂₁	The non-split extension by Q₈ of D₂₁ acting via D₂₁/C₇=S₃	112	4-	Q8.D21	336,118
C₂×C₄.F₇	Direct product of C₂ and C₄.F₇	112		C2xC4.F7	336,121
C₂²×C₇⋊C₁₂	Direct product of C₂² and C₇⋊C₁₂	112		C2^2xC7:C12	336,129
Dic₇.₂A₄	The non-split extension by Dic₇ of A₄ acting through Inn(Dic₇)	112	4+	Dic7.2A4	336,131
Q₈.F₇	The non-split extension by Q₈ of F₇ acting via F₇/D₇=C₃	112	12+	Q8.F7	336,134
C₂²×C₄×C₇⋊C₃	Direct product of C₂²×C₄ and C₇⋊C₃	112		C2^2xC4xC7:C3	336,164
C₂×Q₈×C₇⋊C₃	Direct product of C₂, Q₈ and C₇⋊C₃	112		C2xQ8xC7:C3	336,166
C₁₄×SL₂(𝔽₃)	Direct product of C₁₄ and SL₂(𝔽₃)	112		C14xSL(2,3)	336,169
C₇×C₄.A₄	Direct product of C₇ and C₄.A₄	112	2	C7xC4.A4	336,170
C₂×C₁₄.A₄	Direct product of C₂ and C₁₄.A₄	112		C2xC14.A4	336,172
C₂₈.A₄	The non-split extension by C₂₈ of A₄ acting via A₄/C₂²=C₃	112	6	C28.A4	336,173
C₂⁴×C₇⋊C₃	Direct product of C₂⁴ and C₇⋊C₃	112		C2^4xC7:C3	336,220

Groups of order 448

		d	ρ	Label	ID
C₁₄.C₄≀C₂	1^st non-split extension by C₁₄ of C₄≀C₂ acting via C₄≀C₂/C₄²=C₂	112		C14.C4wrC2	448,8
C₄⋊Dic₇⋊C₄	2^nd semidirect product of C₄⋊Dic₇ and C₄ acting faithfully	112		C4:Dic7:C4	448,9
C₅₆.₁₆Q₈	6^th non-split extension by C₅₆ of Q₈ acting via Q₈/C₄=C₂	112	2	C56.16Q8	448,20
C₂₈.₁₅C₄²	8^th non-split extension by C₂₈ of C₄² acting via C₄²/C₂×C₄=C₂	112	4	C28.15C4^2	448,23
C₂³.₃₀D₂₈	1^st non-split extension by C₂³ of D₂₈ acting via D₂₈/D₁₄=C₂	112		C2^3.30D28	448,24
(C₂²×D₇)⋊C₈	The semidirect product of C₂²×D₇ and C₈ acting via C₈/C₂=C₄	112		(C2^2xD7):C8	448,25
C₂².₂D₅₆	1^st non-split extension by C₂² of D₅₆ acting via D₅₆/D₂₈=C₂	112		C2^2.2D56	448,27
(C₂×C₂₈).D₄	2^nd non-split extension by C₂×C₂₈ of D₄ acting faithfully	112	8-	(C2xC28).D4	448,29
C₂³.D₂₈	1^st non-split extension by C₂³ of D₂₈ acting via D₂₈/C₇=D₄	112	8-	C2^3.D28	448,30
C₂³.₄D₂₈	4^th non-split extension by C₂³ of D₂₈ acting via D₂₈/C₇=D₄	112	8-	C2^3.4D28	448,33
(C₂×C₄).D₂₈	3^rd non-split extension by C₂×C₄ of D₂₈ acting via D₂₈/C₇=D₄	112	8+	(C2xC4).D28	448,34
(C₂×Q₈).D₁₄	2^nd non-split extension by C₂×Q₈ of D₁₄ acting via D₁₄/C₇=C₂²	112	8-	(C2xQ8).D14	448,35
C₅₆.Q₈	5^th non-split extension by C₅₆ of Q₈ acting via Q₈/C₂=C₂²	112	4	C56.Q8	448,44
D₅₆⋊₈C₄	8^th semidirect product of D₅₆ and C₄ acting via C₄/C₂=C₂	112	4	D56:8C4	448,45
C₈.Dic₁₄	2^nd non-split extension by C₈ of Dic₁₄ acting via Dic₁₄/C₁₄=C₂²	112	4	C8.Dic14	448,51
D₅₆.C₄	4^th non-split extension by D₅₆ of C₄ acting via C₄/C₂=C₂	112	4+	D56.C4	448,52
C₅₆.₉Q₈	9^th non-split extension by C₅₆ of Q₈ acting via Q₈/C₂=C₂²	112	4	C56.9Q8	448,68
C₁₁₂⋊C₄	2^nd semidirect product of C₁₁₂ and C₄ acting faithfully	112	4	C112:C4	448,69
C₁₆⋊Dic₇	1^st semidirect product of C₁₆ and Dic₇ acting via Dic₇/C₇=C₄	112	4	C16:Dic7	448,70
M₅(2)⋊D₇	3^rd semidirect product of M₅(2) and D₇ acting via D₇/C₇=C₂	112	4	M5(2):D7	448,71
C₂₈.₃D₈	3^rd non-split extension by C₂₈ of D₈ acting via D₈/C₄=C₂²	112	4+	C28.3D8	448,73
D₅₆⋊₂C₄	2^nd semidirect product of D₅₆ and C₄ acting via C₄/C₂=C₂	112	4	D56:2C4	448,75
C₂₈.₈C₄²	1^st non-split extension by C₂₈ of C₄² acting via C₄²/C₂×C₄=C₂	112		C28.8C4^2	448,80
C₂⁴.Dic₇	1^st non-split extension by C₂⁴ of Dic₇ acting via Dic₇/C₇=C₄	112		C2^4.Dic7	448,82
C₂⁴.D₁₄	1^st non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.D14	448,83
C₂⁴.₂D₁₄	2^nd non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.2D14	448,84
C₄²⋊Dic₇	1^st semidirect product of C₄² and Dic₇ acting via Dic₇/C₇=C₄	112	4	C4^2:Dic7	448,88
C₂₈.₂C₄²	2^nd non-split extension by C₂₈ of C₄² acting via C₄²/C₂²=C₂²	112		C28.2C4^2	448,89
(C₂×C₂₈).Q₈	8^th non-split extension by C₂×C₂₈ of Q₈ acting via Q₈/C₂=C₂²	112	4	(C2xC28).Q8	448,90
(D₄×C₁₄)⋊C₄	1^st semidirect product of D₄×C₁₄ and C₄ acting faithfully	112		(D4xC14):C4	448,94
C₄⋊C₄⋊Dic₇	2^nd semidirect product of C₄⋊C₄ and Dic₇ acting via Dic₇/C₇=C₄	112		C4:C4:Dic7	448,95
(C₂²×C₂₈)⋊C₄	2^nd semidirect product of C₂²×C₂₈ and C₄ acting faithfully	112	4	(C2^2xC28):C4	448,96
C₄²⋊₂Dic₇	2^nd semidirect product of C₄² and Dic₇ acting via Dic₇/C₇=C₄	112	4	C4^2:2Dic7	448,98
C₄².Dic₇	2^nd non-split extension by C₄² of Dic₇ acting via Dic₇/C₇=C₄	112	4	C4^2.Dic7	448,99
C₄².₃Dic₇	3^rd non-split extension by C₄² of Dic₇ acting via Dic₇/C₇=C₄	112	4	C4^2.3Dic7	448,105
C₅₆.D₄	48^th non-split extension by C₅₆ of D₄ acting via D₄/C₂=C₂²	112	4	C56.D4	448,110
C₂₈.₃C₄²	3^rd non-split extension by C₂₈ of C₄² acting via C₄²/C₂²=C₂²	112		C28.3C4^2	448,112
(C₂×C₅₆)⋊C₄	1^st semidirect product of C₂×C₅₆ and C₄ acting faithfully	112	4	(C2xC56):C4	448,113
C₂³.₉D₂₈	2^nd non-split extension by C₂³ of D₂₈ acting via D₂₈/C₁₄=C₂²	112	4	C2^3.9D28	448,114
M₄(2)⋊₄Dic₇	4^th semidirect product of M₄(2) and Dic₇ acting via Dic₇/C₁₄=C₂	112	4	M4(2):4Dic7	448,116
C₂₈.₂₁C₄²	14^th non-split extension by C₂₈ of C₄² acting via C₄²/C₂×C₄=C₂	112	4	C28.21C4^2	448,117
D₈.Dic₇	2^nd non-split extension by D₈ of Dic₇ acting via Dic₇/C₁₄=C₂	112	4	D8.Dic7	448,120
D₈⋊₂Dic₇	2^nd semidirect product of D₈ and Dic₇ acting via Dic₇/C₁₄=C₂	112	4	D8:2Dic7	448,123
C₇×C₂³⋊C₈	Direct product of C₇ and C₂³⋊C₈	112		C7xC2^3:C8	448,127
C₇×C₂².SD₁₆	Direct product of C₇ and C₂².SD₁₆	112		C7xC2^2.SD16	448,131
C₇×C₂³.₃₁D₄	Direct product of C₇ and C₂³.₃₁D₄	112		C7xC2^3.31D4	448,132
C₇×C₄.₉C₄²	Direct product of C₇ and C₄.₉C₄²	112	4	C7xC4.9C4^2	448,141
C₇×C₄.₁₀C₄²	Direct product of C₇ and C₄.₁₀C₄²	112	4	C7xC4.10C4^2	448,142
C₇×C₄²⋊₆C₄	Direct product of C₇ and C₄²⋊₆C₄	112		C7xC4^2:6C4	448,143
C₇×C₂³.₉D₄	Direct product of C₇ and C₂³.₉D₄	112		C7xC2^3.9D4	448,146
C₇×M₄(2)⋊₄C₄	Direct product of C₇ and M₄(2)⋊₄C₄	112	4	C7xM4(2):4C4	448,148
C₇×C₁₆⋊C₄	Direct product of C₇ and C₁₆⋊C₄	112	4	C7xC16:C4	448,151
C₇×C₂³.C₈	Direct product of C₇ and C₂³.C₈	112	4	C7xC2^3.C8	448,153
C₇×C₂³.D₄	Direct product of C₇ and C₂³.D₄	112	4	C7xC2^3.D4	448,156
C₇×C₄²⋊₃C₄	Direct product of C₇ and C₄²⋊₃C₄	112	4	C7xC4^2:3C4	448,158
C₇×C₄².C₄	Direct product of C₇ and C₄².C₄	112	4	C7xC4^2.C4	448,159
C₇×C₄².₃C₄	Direct product of C₇ and C₄².₃C₄	112	4	C7xC4^2.3C4	448,160
C₇×D₈⋊₂C₄	Direct product of C₇ and D₈⋊₂C₄	112	4	C7xD8:2C4	448,164
C₇×M₅(2)⋊C₂	Direct product of C₇ and M₅(2)⋊C₂	112	4	C7xM5(2):C2	448,165
C₇×C₈.C₈	Direct product of C₇ and C₈.C₈	112	2	C7xC8.C8	448,168
C₇×C₈.Q₈	Direct product of C₇ and C₈.Q₈	112	4	C7xC8.Q8	448,169
D₅₆⋊₁₁C₄	The semidirect product of D₅₆ and C₄ acting through Inn(D₅₆)	112	2	D56:11C4	448,234
D₅₆⋊₄C₄	4^th semidirect product of D₅₆ and C₄ acting via C₄/C₂=C₂	112	4	D56:4C4	448,251
D₇×C₂²⋊C₈	Direct product of D₇ and C₂²⋊C₈	112		D7xC2^2:C8	448,258
D₁₄⋊M₄(2)	1^st semidirect product of D₁₄ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	112		D14:M4(2)	448,260
D₂₈.₃₁D₄	1^st non-split extension by D₂₈ of D₄ acting via D₄/C₂²=C₂	112		D28.31D4	448,265
D₂₈⋊₁₃D₄	1^st semidirect product of D₂₈ and D₄ acting via D₄/C₂²=C₂	112		D28:13D4	448,266
C₂³⋊C₄⋊₅D₇	The semidirect product of C₂³⋊C₄ and D₇ acting through Inn(C₂³⋊C₄)	112	8-	C2^3:C4:5D7	448,274
C₂³.₅D₂₈	5^th non-split extension by C₂³ of D₂₈ acting via D₂₈/C₇=D₄	112	8-	C2^3.5D28	448,276
M₄(2).₁₉D₁₄	2^nd non-split extension by M₄(2) of D₁₄ acting via D₁₄/D₇=C₂	112	8-	M4(2).19D14	448,279
D₂₈.₁D₄	1^st non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	8-	D28.1D4	448,280
D₂₈.₂D₄	2^nd non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	8-	D28.2D4	448,282
D₂₈.₃D₄	3^rd non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	8+	D28.3D4	448,283
D₇×C₄.₁₀D₄	Direct product of D₇ and C₄.₁₀D₄	112	8-	D7xC4.10D4	448,284
M₄(2).₂₁D₁₄	4^th non-split extension by M₄(2) of D₁₄ acting via D₁₄/D₇=C₂	112	8+	M4(2).21D14	448,285
D₂₈.₄D₄	4^th non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	8-	D28.4D4	448,286
D₂₈.₅D₄	5^th non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	8+	D28.5D4	448,287
D₂₈.₆D₄	6^th non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	8+	D28.6D4	448,288
D₇×D₄⋊C₄	Direct product of D₇ and D₄⋊C₄	112		D7xD4:C4	448,303
(D₄×D₇)⋊C₄	2^nd semidirect product of D₄×D₇ and C₄ acting via C₄/C₂=C₂	112		(D4xD7):C4	448,304
D₄⋊D₂₈	1^st semidirect product of D₄ and D₂₈ acting via D₂₈/D₁₄=C₂	112		D4:D28	448,307
D₄.₆D₂₈	1^st non-split extension by D₄ of D₂₈ acting via D₂₈/D₁₄=C₂	112		D4.6D28	448,310
C₄²⋊D₁₄	1^st semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112	4	C4^2:D14	448,355
M₄(2).₂₂D₁₄	5^th non-split extension by M₄(2) of D₁₄ acting via D₁₄/D₇=C₂	112	4	M4(2).22D14	448,357
C₄².₁₉₆D₁₄	16^th non-split extension by C₄² of D₁₄ acting via D₁₄/D₇=C₂	112	4	C4^2.196D14	448,358
M₄(2)⋊D₁₄	4^th semidirect product of M₄(2) and D₁₄ acting via D₁₄/C₇=C₂²	112	4	M4(2):D14	448,359
D₄.₉D₂₈	4^th non-split extension by D₄ of D₂₈ acting via D₂₈/D₁₄=C₂	112	4-	D4.9D28	448,360
D₄.₁₀D₂₈	5^th non-split extension by D₄ of D₂₈ acting via D₂₈/D₁₄=C₂	112	4	D4.10D28	448,361
D₇×C₈.C₄	Direct product of D₇ and C₈.C₄	112	4	D7xC8.C4	448,426
M₄(2).₂₅D₁₄	8^th non-split extension by M₄(2) of D₁₄ acting via D₁₄/D₇=C₂	112	4	M4(2).25D14	448,427
D₅₆⋊₁₀C₄	10^th semidirect product of D₅₆ and C₄ acting via C₄/C₂=C₂	112	4	D56:10C4	448,428
D₅₆⋊₇C₄	7^th semidirect product of D₅₆ and C₄ acting via C₄/C₂=C₂	112	4	D56:7C4	448,429
C₈.₂₁D₂₈	7^th non-split extension by C₈ of D₂₈ acting via D₂₈/D₁₄=C₂	112	4+	C8.21D28	448,431
C₈.₂₄D₂₈	10^th non-split extension by C₈ of D₂₈ acting via D₂₈/D₁₄=C₂	112	4	C8.24D28	448,432
D₇×M₅(2)	Direct product of D₇ and M₅(2)	112	4	D7xM5(2)	448,440
C₁₆⋊D₁₄	1^st semidirect product of C₁₆ and D₁₄ acting via D₁₄/C₇=C₂²	112	4+	C16:D14	448,442
D₇×D₁₆	Direct product of D₇ and D₁₆	112	4+	D7xD16	448,444
D₈⋊D₁₄	2^nd semidirect product of D₈ and D₁₄ acting via D₁₄/D₇=C₂	112	4	D8:D14	448,445
D₇×SD₃₂	Direct product of D₇ and SD₃₂	112	4	D7xSD32	448,447
D₁₁₂⋊C₂	6^th semidirect product of D₁₁₂ and C₂ acting faithfully	112	4+	D112:C2	448,448
C₂×Dic₁₄⋊C₄	Direct product of C₂ and Dic₁₄⋊C₄	112		C2xDic14:C4	448,461
C₂×C₂³.₁D₁₄	Direct product of C₂ and C₂³.₁D₁₄	112		C2xC2^3.1D14	448,488
C₂³.₄₄D₂₈	15^th non-split extension by C₂³ of D₂₈ acting via D₂₈/D₁₄=C₂	112		C2^3.44D28	448,489
C₄⋊C₄⋊₃₆D₁₄	2^nd semidirect product of C₄⋊C₄ and D₁₄ acting via D₁₄/C₁₄=C₂	112		C4:C4:36D14	448,535
C₄²⋊₄D₁₄	4^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112	4	C4^2:4D14	448,539
(C₂×D₂₈)⋊₁₃C₄	9^th semidirect product of C₂×D₂₈ and C₄ acting via C₄/C₂=C₂	112	4	(C2xD28):13C4	448,540
D₂₈⋊₁₆D₄	4^th semidirect product of D₂₈ and D₄ acting via D₄/C₂²=C₂	112		D28:16D4	448,570
D₂₈.₃₆D₄	6^th non-split extension by D₂₈ of D₄ acting via D₄/C₂²=C₂	112		D28.36D4	448,580
C₂²⋊C₄⋊D₁₄	4^th semidirect product of C₂²⋊C₄ and D₁₄ acting via D₁₄/C₇=C₂²	112	4	C2^2:C4:D14	448,587
C₄²⋊₅D₁₄	5^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112	4	C4^2:5D14	448,595
D₂₈.₁₄D₄	14^th non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	4	D28.14D4	448,596
D₂₈.₁₅D₄	15^th non-split extension by D₂₈ of D₄ acting via D₄/C₂=C₂²	112	4	D28.15D4	448,629
C₂³.Dic₁₄	6^th non-split extension by C₂³ of Dic₁₄ acting via Dic₁₄/C₁₄=C₂²	112	4	C2^3.Dic14	448,658
M₄(2).Dic₇	1^st non-split extension by M₄(2) of Dic₇ acting via Dic₇/C₁₄=C₂	112	4	M4(2).Dic7	448,659
D₁₄⋊₆M₄(2)	2^nd semidirect product of D₁₄ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	112		D14:6M4(2)	448,660
C₂×C₂₈.₄₆D₄	Direct product of C₂ and C₂₈.₄₆D₄	112		C2xC28.46D4	448,664
C₂³.₄₈D₂₈	19^th non-split extension by C₂³ of D₂₈ acting via D₂₈/D₁₄=C₂	112		C2^3.48D28	448,665
M₄(2).₃₁D₁₄	4^th non-split extension by M₄(2) of D₁₄ acting via D₁₄/C₁₄=C₂	112	4	M4(2).31D14	448,666
C₂×D₂₈⋊₄C₄	Direct product of C₂ and D₂₈⋊₄C₄	112		C2xD28:4C4	448,672
C₂³.₂₀D₂₈	13^rd non-split extension by C₂³ of D₂₈ acting via D₂₈/C₁₄=C₂²	112	4	C2^3.20D28	448,673
D₄.₃D₂₈	3^rd non-split extension by D₄ of D₂₈ acting via D₂₈/C₂₈=C₂	112	4	D4.3D28	448,675
D₄.₄D₂₈	4^th non-split extension by D₄ of D₂₈ acting via D₂₈/C₂₈=C₂	112	4+	D4.4D28	448,676
C₅₆.₉₃D₄	16^th non-split extension by C₅₆ of D₄ acting via D₄/C₂²=C₂	112	4	C56.93D4	448,678
C₅₆.₅₀D₄	50^th non-split extension by C₅₆ of D₄ acting via D₄/C₂=C₂²	112	4	C56.50D4	448,679
D₈.D₁₄	1^st non-split extension by D₈ of D₁₄ acting via D₁₄/C₁₄=C₂	112	4	D8.D14	448,681
D₂₈⋊D₄	6^th semidirect product of D₂₈ and D₄ acting via D₄/C₂=C₂²	112		D28:D4	448,690
C₅₆.₂₃D₄	23^rd non-split extension by C₅₆ of D₄ acting via D₄/C₂=C₂²	112	4	C56.23D4	448,694
D₁₄⋊₆SD₁₆	2^nd semidirect product of D₁₄ and SD₁₆ acting via SD₁₆/D₄=C₂	112		D14:6SD16	448,703
C₅₆.₄₄D₄	44^th non-split extension by C₅₆ of D₄ acting via D₄/C₂=C₂²	112	4	C56.44D4	448,711
Q₁₆⋊D₁₄	2^nd semidirect product of Q₁₆ and D₁₄ acting via D₁₄/C₁₄=C₂	112	4+	Q16:D14	448,727
D₈⋊₅Dic₇	The semidirect product of D₈ and Dic₇ acting through Inn(D₈)	112	4	D8:5Dic7	448,730
D₈⋊₄Dic₇	4^th semidirect product of D₈ and Dic₇ acting via Dic₇/C₁₄=C₂	112	4	D8:4Dic7	448,731
M₄(2).D₁₄	12^nd non-split extension by M₄(2) of D₁₄ acting via D₁₄/C₇=C₂²	112	8+	M4(2).D14	448,733
M₄(2).₁₃D₁₄	13^rd non-split extension by M₄(2) of D₁₄ acting via D₁₄/C₇=C₂²	112	8-	M4(2).13D14	448,734
D₂₈.₃₈D₄	8^th non-split extension by D₂₈ of D₄ acting via D₄/C₂²=C₂	112	8-	D28.38D4	448,735
D₂₈.₃₉D₄	9^th non-split extension by D₂₈ of D₄ acting via D₄/C₂²=C₂	112	8+	D28.39D4	448,736
M₄(2).₁₅D₁₄	15^th non-split extension by M₄(2) of D₁₄ acting via D₁₄/C₇=C₂²	112	8+	M4(2).15D14	448,737
D₂₈.₄₀D₄	10^th non-split extension by D₂₈ of D₄ acting via D₄/C₂²=C₂	112	8-	D28.40D4	448,739
C₂⁴.₄Dic₇	2^nd non-split extension by C₂⁴ of Dic₇ acting via Dic₇/C₁₄=C₂	112		C2^4.4Dic7	448,741
(D₄×C₁₄)⋊₆C₄	2^nd semidirect product of D₄×C₁₄ and C₄ acting via C₄/C₂=C₂	112		(D4xC14):6C4	448,749
C₂×C₂₈.D₄	Direct product of C₂ and C₂₈.D₄	112		C2xC28.D4	448,750
(C₂×C₁₄)⋊₈D₈	2^nd semidirect product of C₂×C₁₄ and D₈ acting via D₈/D₄=C₂	112		(C2xC14):8D8	448,751
(C₇×D₄).₃₁D₄	1^st non-split extension by C₇×D₄ of D₄ acting via D₄/C₂²=C₂	112		(C7xD4).31D4	448,752
C₂×C₂³⋊Dic₇	Direct product of C₂ and C₂³⋊Dic₇	112		C2xC2^3:Dic7	448,753
C₂×D₄⋊₂Dic₇	Direct product of C₂ and D₄⋊₂Dic₇	112		C2xD4:2Dic7	448,769
(D₄×C₁₄)⋊₉C₄	5^th semidirect product of D₄×C₁₄ and C₄ acting via C₄/C₂=C₂	112	4	(D4xC14):9C4	448,770
(D₄×C₁₄).₁₆C₄	10^th non-split extension by D₄×C₁₄ of C₄ acting via C₄/C₂=C₂	112	4	(D4xC14).16C4	448,771
(D₄×C₁₄)⋊₁₀C₄	6^th semidirect product of D₄×C₁₄ and C₄ acting via C₄/C₂=C₂	112	4	(D4xC14):10C4	448,774
2₊¹⁺⁴.D₇	1^st non-split extension by 2₊¹⁺⁴ of D₇ acting via D₇/C₇=C₂	112	8-	ES+(2,2).D7	448,776
2₊¹⁺⁴.₂D₇	2^nd non-split extension by 2₊¹⁺⁴ of D₇ acting via D₇/C₇=C₂	112	8-	ES+(2,2).2D7	448,777
2_-¹⁺⁴⋊D₇	1^st semidirect product of 2_-¹⁺⁴ and D₇ acting via D₇/C₇=C₂	112	8+	ES-(2,2):D7	448,779
2_-¹⁺⁴.D₇	The non-split extension by 2_-¹⁺⁴ of D₇ acting via D₇/C₇=C₂	112	8-	ES-(2,2).D7	448,780
C₂⁵.D₇	1^st non-split extension by C₂⁵ of D₇ acting via D₇/C₇=C₂	112		C2^5.D7	448,781
C₇×C₂⁴⋊₃C₄	Direct product of C₇ and C₂⁴⋊₃C₄	112		C7xC2^4:3C4	448,787
C₇×C₂⁴.₄C₄	Direct product of C₇ and C₂⁴.₄C₄	112		C7xC2^4.4C4	448,815
C₁₄×C₂³⋊C₄	Direct product of C₁₄ and C₂³⋊C₄	112		C14xC2^3:C4	448,817
C₇×C₂³.C₂³	Direct product of C₇ and C₂³.C₂³	112	4	C7xC2^3.C2^3	448,818
C₁₄×C₄.D₄	Direct product of C₁₄ and C₄.D₄	112		C14xC4.D4	448,819
C₇×M₄(2).₈C₂²	Direct product of C₇ and M₄(2).₈C₂²	112	4	C7xM4(2).8C2^2	448,821
C₇×C₂³.₃₇D₄	Direct product of C₇ and C₂³.₃₇D₄	112		C7xC2^3.37D4	448,826
C₁₄×C₄≀C₂	Direct product of C₁₄ and C₄≀C₂	112		C14xC4wrC2	448,828
C₇×C₄²⋊C₂²	Direct product of C₇ and C₄²⋊C₂²	112	4	C7xC4^2:C2^2	448,829
C₇×M₄(2).C₄	Direct product of C₇ and M₄(2).C₄	112	4	C7xM4(2).C4	448,838
C₇×C₈○D₈	Direct product of C₇ and C₈○D₈	112	2	C7xC8oD8	448,851
C₇×C₈.₂₆D₄	Direct product of C₇ and C₈.₂₆D₄	112	4	C7xC8.26D4	448,852
C₇×C₂²⋊D₈	Direct product of C₇ and C₂²⋊D₈	112		C7xC2^2:D8	448,855
C₇×C₂²⋊SD₁₆	Direct product of C₇ and C₂²⋊SD₁₆	112		C7xC2^2:SD16	448,858
C₇×D₄.₈D₄	Direct product of C₇ and D₄.₈D₄	112	4	C7xD4.8D4	448,862
C₇×D₄.₉D₄	Direct product of C₇ and D₄.₉D₄	112	4	C7xD4.9D4	448,863
C₇×D₄.₁₀D₄	Direct product of C₇ and D₄.₁₀D₄	112	4	C7xD4.10D4	448,864
C₇×C₂³.₇D₄	Direct product of C₇ and C₂³.₇D₄	112	4	C7xC2^3.7D4	448,866
C₇×D₄.₃D₄	Direct product of C₇ and D₄.₃D₄	112	4	C7xD4.3D4	448,879
C₇×D₄.₄D₄	Direct product of C₇ and D₄.₄D₄	112	4	C7xD4.4D4	448,880
C₇×C₁₆⋊C₂²	Direct product of C₇ and C₁₆⋊C₂²	112	4	C7xC16:C2^2	448,917
C₂³⋊₂Dic₁₄	2^nd semidirect product of C₂³ and Dic₁₄ acting via Dic₁₄/C₁₄=C₂²	112		C2^3:2Dic14	448,936
C₂×D₇×C₂²⋊C₄	Direct product of C₂, D₇ and C₂²⋊C₄	112		C2xD7xC2^2:C4	448,937
C₂⁴.₂₄D₁₄	24^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.24D14	448,939
C₂×C₂²⋊D₂₈	Direct product of C₂ and C₂²⋊D₂₈	112		C2xC2^2:D28	448,940
C₂⁴.₂₇D₁₄	27^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.27D14	448,943
C₂³⋊₃D₂₈	2^nd semidirect product of C₂³ and D₂₈ acting via D₂₈/C₁₄=C₂²	112		C2^3:3D28	448,946
C₂⁴.₃₀D₁₄	30^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.30D14	448,947
C₂⁴.₃₁D₁₄	31^st non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.31D14	448,948
D₇×C₄²⋊C₂	Direct product of D₇ and C₄²⋊C₂	112		D7xC4^2:C2	448,973
C₄²⋊₇D₁₄	7^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:7D14	448,974
C₄²⋊₈D₁₄	8^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:8D14	448,977
C₄²⋊₉D₁₄	9^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:9D14	448,978
C₄²⋊₁₀D₁₄	10^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:10D14	448,980
C₄×D₄×D₇	Direct product of C₄, D₄ and D₇	112		C4xD4xD7	448,997
C₄²⋊₁₁D₁₄	11^st semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:11D14	448,998
C₄²⋊₁₂D₁₄	12^nd semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:12D14	448,1000
D₄×D₂₈	Direct product of D₄ and D₂₈	112		D4xD28	448,1002
D₂₈⋊₂₃D₄	1^st semidirect product of D₂₈ and D₄ acting through Inn(D₂₈)	112		D28:23D4	448,1003
D₄⋊₅D₂₈	1^st semidirect product of D₄ and D₂₈ acting through Inn(D₄)	112		D4:5D28	448,1007
C₄²⋊₁₆D₁₄	16^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:16D14	448,1009
C₄²⋊₁₇D₁₄	17^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:17D14	448,1013
C₂⁴.₅₆D₁₄	14^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/D₇=C₂	112		C2^4.56D14	448,1039
C₂⁴.₃₂D₁₄	32^nd non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.32D14	448,1040
C₂⁴⋊₂D₁₄	2^nd semidirect product of C₂⁴ and D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4:2D14	448,1042
C₂⁴⋊₃D₁₄	3^rd semidirect product of C₂⁴ and D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4:3D14	448,1043
C₂⁴.₃₃D₁₄	33^rd non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.33D14	448,1044
C₂⁴.₃₄D₁₄	34^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.34D14	448,1045
C₂⁴.₃₅D₁₄	35^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.35D14	448,1046
C₂⁴⋊₄D₁₄	4^th semidirect product of C₂⁴ and D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4:4D14	448,1047
C₂⁴.₃₆D₁₄	36^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.36D14	448,1048
D₇×C₄⋊D₄	Direct product of D₇ and C₄⋊D₄	112		D7xC4:D4	448,1057
C₁₄.₃₇2₊¹⁺⁴	37^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.37ES+(2,2)	448,1058
C₄⋊C₄⋊₂₁D₁₄	4^th semidirect product of C₄⋊C₄ and D₁₄ acting via D₁₄/D₇=C₂	112		C4:C4:21D14	448,1059
C₁₄.₃₈2₊¹⁺⁴	38^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.38ES+(2,2)	448,1060
D₂₈⋊₁₉D₄	7^th semidirect product of D₂₈ and D₄ acting via D₄/C₂²=C₂	112		D28:19D4	448,1062
C₁₄.₄₀2₊¹⁺⁴	40^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.40ES+(2,2)	448,1063
D₂₈⋊₂₀D₄	8^th semidirect product of D₂₈ and D₄ acting via D₄/C₂²=C₂	112		D28:20D4	448,1065
C₁₄.₄₂2₊¹⁺⁴	42^nd non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.42ES+(2,2)	448,1066
C₁₄.₄₆2₊¹⁺⁴	46^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.46ES+(2,2)	448,1070
C₁₄.₄₈2₊¹⁺⁴	48^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.48ES+(2,2)	448,1073
D₇×C₂²⋊Q₈	Direct product of D₇ and C₂²⋊Q₈	112		D7xC2^2:Q8	448,1079
C₄⋊C₄⋊₂₆D₁₄	9^th semidirect product of C₄⋊C₄ and D₁₄ acting via D₁₄/D₇=C₂	112		C4:C4:26D14	448,1080
D₂₈⋊₂₁D₄	9^th semidirect product of D₂₈ and D₄ acting via D₄/C₂²=C₂	112		D28:21D4	448,1083
C₁₄.₅₁2₊¹⁺⁴	51^st non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.51ES+(2,2)	448,1087
C₁₄.₅₃2₊¹⁺⁴	53^rd non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.53ES+(2,2)	448,1090
C₁₄.₅₆2₊¹⁺⁴	56^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.56ES+(2,2)	448,1097
D₇×C₂².D₄	Direct product of D₇ and C₂².D₄	112		D7xC2^2.D4	448,1105
C₁₄.₁₂₀2₊¹⁺⁴	29^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	112		C14.120ES+(2,2)	448,1106
C₁₄.₁₂₁2₊¹⁺⁴	30^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	112		C14.121ES+(2,2)	448,1107
C₄⋊C₄⋊₂₈D₁₄	11^st semidirect product of C₄⋊C₄ and D₁₄ acting via D₁₄/D₇=C₂	112		C4:C4:28D14	448,1109
C₁₄.₆₁2₊¹⁺⁴	61^st non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.61ES+(2,2)	448,1110
C₁₄.₁₂₂2₊¹⁺⁴	31^st non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	112		C14.122ES+(2,2)	448,1111
C₁₄.₆₂2₊¹⁺⁴	62^nd non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.62ES+(2,2)	448,1112
C₁₄.₆₈2₊¹⁺⁴	68^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂×D₄=C₂	112		C14.68ES+(2,2)	448,1119
D₇×C₄.₄D₄	Direct product of D₇ and C₄.₄D₄	112		D7xC4.4D4	448,1126
C₄²⋊₁₈D₁₄	18^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:18D14	448,1127
D₂₈⋊₁₀D₄	3^rd semidirect product of D₂₈ and D₄ acting via D₄/C₄=C₂	112		D28:10D4	448,1129
C₄²⋊₂₀D₁₄	20^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:20D14	448,1131
C₄²⋊₂₁D₁₄	21^st semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:21D14	448,1132
C₄²⋊₂₂D₁₄	22^nd semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:22D14	448,1136
D₇×C₄²⋊₂C₂	Direct product of D₇ and C₄²⋊₂C₂	112		D7xC4^2:2C2	448,1156
C₄²⋊₂₃D₁₄	23^rd semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:23D14	448,1157
C₄²⋊₂₄D₁₄	24^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:24D14	448,1158
C₄²⋊₂₅D₁₄	25^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:25D14	448,1164
D₇×C₄⋊₁D₄	Direct product of D₇ and C₄⋊₁D₄	112		D7xC4:1D4	448,1167
C₄²⋊₂₆D₁₄	26^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:26D14	448,1168
D₂₈⋊₁₁D₄	4^th semidirect product of D₂₈ and D₄ acting via D₄/C₄=C₂	112		D28:11D4	448,1170
C₄²⋊₂₈D₁₄	28^th semidirect product of C₄² and D₁₄ acting via D₁₄/C₇=C₂²	112		C4^2:28D14	448,1173
C₂×D₇×M₄(2)	Direct product of C₂, D₇ and M₄(2)	112		C2xD7xM4(2)	448,1196
C₂₈.₇₀C₂⁴	17^th non-split extension by C₂₈ of C₂⁴ acting via C₂⁴/C₂³=C₂	112	4	C28.70C2^4	448,1198
C₂×C₈⋊D₁₄	Direct product of C₂ and C₈⋊D₁₄	112		C2xC8:D14	448,1199
C₅₆.₉C₂³	2^nd non-split extension by C₅₆ of C₂³ acting via C₂³/C₂=C₂²	112	4	C56.9C2^3	448,1201
D₇×C₈○D₄	Direct product of D₇ and C₈○D₄	112	4	D7xC8oD4	448,1202
C₅₆.₄₉C₂³	42^nd non-split extension by C₅₆ of C₂³ acting via C₂³/C₂=C₂²	112	4	C56.49C2^3	448,1203
D₄.₁₁D₂₈	1^st non-split extension by D₄ of D₂₈ acting through Inn(D₄)	112	4	D4.11D28	448,1204
D₄.₁₂D₂₈	2^nd non-split extension by D₄ of D₂₈ acting through Inn(D₄)	112	4+	D4.12D28	448,1205
C₂×D₇×D₈	Direct product of C₂, D₇ and D₈	112		C2xD7xD8	448,1207
C₂×D₈⋊D₇	Direct product of C₂ and D₈⋊D₇	112		C2xD8:D7	448,1208
D₈⋊₁₃D₁₄	2^nd semidirect product of D₈ and D₁₄ acting through Inn(D₈)	112	4	D8:13D14	448,1210
C₂×D₇×SD₁₆	Direct product of C₂, D₇ and SD₁₆	112		C2xD7xSD16	448,1211
C₂×D₅₆⋊C₂	Direct product of C₂ and D₅₆⋊C₂	112		C2xD56:C2	448,1212
D₂₈.₂₉D₄	12^nd non-split extension by D₂₈ of D₄ acting via D₄/C₄=C₂	112	4	D28.29D4	448,1215
D₇×C₄○D₈	Direct product of D₇ and C₄○D₈	112	4	D7xC4oD8	448,1220
D₈⋊₁₀D₁₄	4^th semidirect product of D₈ and D₁₄ acting via D₁₄/C₁₄=C₂	112	4	D8:10D14	448,1221
D₈⋊₁₅D₁₄	4^th semidirect product of D₈ and D₁₄ acting through Inn(D₈)	112	4+	D8:15D14	448,1222
D₈⋊₁₁D₁₄	5^th semidirect product of D₈ and D₁₄ acting via D₁₄/C₁₄=C₂	112	4	D8:11D14	448,1223
SD₁₆⋊D₁₄	2^nd semidirect product of SD₁₆ and D₁₄ acting via D₁₄/D₇=C₂	112	8-	SD16:D14	448,1226
D₈⋊₅D₁₄	5^th semidirect product of D₈ and D₁₄ acting via D₁₄/D₇=C₂	112	8+	D8:5D14	448,1227
D₈⋊₆D₁₄	6^th semidirect product of D₈ and D₁₄ acting via D₁₄/D₇=C₂	112	8-	D8:6D14	448,1228
D₇×C₈.C₂²	Direct product of D₇ and C₈.C₂²	112	8-	D7xC8.C2^2	448,1229
D₅₆⋊C₂²	3^rd semidirect product of D₅₆ and C₂² acting faithfully	112	8+	D56:C2^2	448,1230
C₅₆.C₂³	6^th non-split extension by C₅₆ of C₂³ acting faithfully	112	8+	C56.C2^3	448,1231
C₂⁴.₇₂D₁₄	12^nd non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₁₄=C₂	112		C2^4.72D14	448,1244
C₂×D₄.D₁₄	Direct product of C₂ and D₄.D₁₄	112		C2xD4.D14	448,1246
C₂⁴.₃₈D₁₄	38^th non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.38D14	448,1251
C₂×C₂³⋊D₁₄	Direct product of C₂ and C₂³⋊D₁₄	112		C2xC2^3:D14	448,1252
D₄×C₇⋊D₄	Direct product of D₄ and C₇⋊D₄	112		D4xC7:D4	448,1254
C₂⁴⋊₇D₁₄	7^th semidirect product of C₂⁴ and D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4:7D14	448,1257
C₂⁴.₄₁D₁₄	41^st non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.41D14	448,1258
C₂⁴.₄₂D₁₄	42^nd non-split extension by C₂⁴ of D₁₄ acting via D₁₄/C₇=C₂²	112		C2^4.42D14	448,1259
C₂₈.₇₆C₂⁴	23^rd non-split extension by C₂₈ of C₂⁴ acting via C₂⁴/C₂³=C₂	112	4	C28.76C2^4	448,1272
C₂×D₄⋊D₁₄	Direct product of C₂ and D₄⋊D₁₄	112		C2xD4:D14	448,1273
C₂₈.C₂⁴	35^th non-split extension by C₂₈ of C₂⁴ acting via C₂⁴/C₂²=C₂²	112	4	C28.C2^4	448,1275
(C₂×C₂₈)⋊₁₅D₄	11^st semidirect product of C₂×C₂₈ and D₄ acting via D₄/C₂=C₂²	112		(C2xC28):15D4	448,1281
C₁₄.₁₄₅2₊¹⁺⁴	54^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	112		C14.145ES+(2,2)	448,1282
C₁₄.₁₄₆2₊¹⁺⁴	55^th non-split extension by C₁₄ of 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₄○D₄=C₂	112		C14.146ES+(2,2)	448,1283
D₂₈.₃₂C₂³	13^rd non-split extension by D₂₈ of C₂³ acting via C₂³/C₂²=C₂	112	8+	D28.32C2^3	448,1288
D₂₈.₃₃C₂³	14^th non-split extension by D₂₈ of C₂³ acting via C₂³/C₂²=C₂	112	8-	D28.33C2^3	448,1289
D₂₈.₃₄C₂³	15^th non-split extension by D₂₈ of C₂³ acting via C₂³/C₂²=C₂	112	8+	D28.34C2^3	448,1290
C₂×C₂⁴⋊D₇	Direct product of C₂ and C₂⁴⋊D₇	112		C2xC2^4:D7	448,1293
C₇×C₂².₁₁C₂⁴	Direct product of C₇ and C₂².₁₁C₂⁴	112		C7xC2^2.11C2^4	448,1301
C₁₄×C₂²≀C₂	Direct product of C₁₄ and C₂²≀C₂	112		C14xC2^2wrC2	448,1304
C₇×C₂².₁₉C₂⁴	Direct product of C₇ and C₂².₁₉C₂⁴	112		C7xC2^2.19C2^4	448,1308
C₇×C₂³⋊₃D₄	Direct product of C₇ and C₂³⋊₃D₄	112		C7xC2^3:3D4	448,1317
C₇×C₂².₂₉C₂⁴	Direct product of C₇ and C₂².₂₉C₂⁴	112		C7xC2^2.29C2^4	448,1318
C₇×C₂².₃₂C₂⁴	Direct product of C₇ and C₂².₃₂C₂⁴	112		C7xC2^2.32C2^4	448,1321
C₇×C₂³⋊₂Q₈	Direct product of C₇ and C₂³⋊₂Q₈	112		C7xC2^3:2Q8	448,1326
C₇×D₄²	Direct product of C₇, D₄ and D₄	112		C7xD4^2	448,1328
C₇×D₄⋊₅D₄	Direct product of C₇ and D₄⋊₅D₄	112		C7xD4:5D4	448,1329
C₇×C₂².₄₅C₂⁴	Direct product of C₇ and C₂².₄₅C₂⁴	112		C7xC2^2.45C2^4	448,1334
C₇×C₂².₅₄C₂⁴	Direct product of C₇ and C₂².₅₄C₂⁴	112		C7xC2^2.54C2^4	448,1343
C₇×C₂⁴⋊C₂²	Direct product of C₇ and C₂⁴⋊C₂²	112		C7xC2^4:C2^2	448,1344
C₇×Q₈○M₄(2)	Direct product of C₇ and Q₈○M₄(2)	112	4	C7xQ8oM4(2)	448,1351
C₁₄×C₈⋊C₂²	Direct product of C₁₄ and C₈⋊C₂²	112		C14xC8:C2^2	448,1356
C₇×D₈⋊C₂²	Direct product of C₇ and D₈⋊C₂²	112	4	C7xD8:C2^2	448,1358
C₇×D₄○D₈	Direct product of C₇ and D₄○D₈	112	4	C7xD4oD8	448,1359
C₇×D₄○SD₁₆	Direct product of C₇ and D₄○SD₁₆	112	4	C7xD4oSD16	448,1360
C₂²×D₄×D₇	Direct product of C₂², D₄ and D₇	112		C2^2xD4xD7	448,1369
C₂×D₄⋊₆D₁₄	Direct product of C₂ and D₄⋊₆D₁₄	112		C2xD4:6D14	448,1371
C₂×D₇×C₄○D₄	Direct product of C₂, D₇ and C₄○D₄	112		C2xD7xC4oD4	448,1375
C₂×D₄⋊₈D₁₄	Direct product of C₂ and D₄⋊₈D₁₄	112		C2xD4:8D14	448,1376
C₁₄.C₂⁵	14^th non-split extension by C₁₄ of C₂⁵ acting via C₂⁵/C₂⁴=C₂	112	4	C14.C2^5	448,1378
D₁₄.C₂⁴	9^th non-split extension by D₁₄ of C₂⁴ acting via C₂⁴/C₂³=C₂	112	8-	D14.C2^4	448,1380
D₇×2_-¹⁺⁴	Direct product of D₇ and 2_-¹⁺⁴	112	8-	D7xES-(2,2)	448,1381
D₂₈.₃₉C₂³	20^th non-split extension by D₂₈ of C₂³ acting via C₂³/C₂²=C₂	112	8+	D28.39C2^3	448,1382
C₁₄×2₊¹⁺⁴	Direct product of C₁₄ and 2₊¹⁺⁴	112		C14xES+(2,2)	448,1389
C₇×C₂.C₂⁵	Direct product of C₇ and C₂.C₂⁵	112	4	C7xC2.C2^5	448,1391

On 113 points

Groups of order 113

		d	ρ	Label	ID
C₁₁₃	Cyclic group	113	1	C113	113,1

Groups of order 226

		d	ρ	Label	ID
D₁₁₃	Dihedral group	113	2+	D113	226,1

Groups of order 452

		d	ρ	Label	ID
C₁₁₃⋊C₄	The semidirect product of C₁₁₃ and C₄ acting faithfully	113	4+	C113:C4	452,3

On 114 points

Groups of order 114

		d	ρ	Label	ID
C₁₁₄	Cyclic group	114	1	C114	114,6

Groups of order 228

		d	ρ	Label	ID
C₆×D₁₉	Direct product of C₆ and D₁₉	114	2	C6xD19	228,12
S₃×C₃₈	Direct product of C₃₈ and S₃	114	2	S3xC38	228,13
D₁₁₄	Dihedral group; = C₂×D₅₇	114	2+	D114	228,14

Groups of order 342

		d	ρ	Label	ID
C₆×C₁₉⋊C₃	Direct product of C₆ and C₁₉⋊C₃	114	3	C6xC19:C3	342,12
S₃×C₅₇	Direct product of C₅₇ and S₃	114	2	S3xC57	342,14
C₃×D₅₇	Direct product of C₃ and D₅₇	114	2	C3xD57	342,15

Groups of order 456

		d	ρ	Label	ID
C₂×S₃×D₁₉	Direct product of C₂, S₃ and D₁₉	114	4+	C2xS3xD19	456,47
A₄×C₃₈	Direct product of C₃₈ and A₄	114	3	A4xC38	456,49
C₂×C₁₉⋊A₄	Direct product of C₂ and C₁₉⋊A₄	114	3	C2xC19:A4	456,50

On 115 points

Groups of order 115

		d	ρ	Label	ID
C₁₁₅	Cyclic group	115	1	C115	115,1

Groups of order 230

		d	ρ	Label	ID
D₅×C₂₃	Direct product of C₂₃ and D₅	115	2	D5xC23	230,1
C₅×D₂₃	Direct product of C₅ and D₂₃	115	2	C5xD23	230,2
D₁₁₅	Dihedral group	115	2+	D115	230,3

Groups of order 460

		d	ρ	Label	ID
F₅×C₂₃	Direct product of C₂₃ and F₅	115	4	F5xC23	460,5
C₂₃⋊F₅	The semidirect product of C₂₃ and F₅ acting via F₅/D₅=C₂	115	4	C23:F5	460,6
D₅×D₂₃	Direct product of D₅ and D₂₃	115	4+	D5xD23	460,7

On 116 points

Groups of order 116

		d	ρ	Label	ID
Dic₂₉	Dicyclic group; = C₂₉ ⋊₂ C₄	116	2-	Dic29	116,1
C₁₁₆	Cyclic group	116	1	C116	116,2
C₂×C₅₈	Abelian group of type [2,58]	116		C2xC58	116,5

Groups of order 232

		d	ρ	Label	ID
C₄×D₂₉	Direct product of C₄ and D₂₉	116	2	C4xD29	232,5
D₁₁₆	Dihedral group	116	2+	D116	232,6
C₂₉⋊D₄	The semidirect product of C₂₉ and D₄ acting via D₄/C₂²=C₂	116	2	C29:D4	232,8
D₄×C₂₉	Direct product of C₂₉ and D₄	116	2	D4xC29	232,10
C₂²×D₂₉	Direct product of C₂² and D₂₉	116		C2^2xD29	232,13

Groups of order 348

		d	ρ	Label	ID
A₄×C₂₉	Direct product of C₂₉ and A₄	116	3	A4xC29	348,8

Groups of order 464

		d	ρ	Label	ID
C₄×C₂₉⋊C₄	Direct product of C₄ and C₂₉⋊C₄	116	4	C4xC29:C4	464,30
C₁₁₆⋊C₄	1^st semidirect product of C₁₁₆ and C₄ acting faithfully	116	4	C116:C4	464,31
D₂₉.D₄	The non-split extension by D₂₉ of D₄ acting via D₄/C₂²=C₂	116	4+	D29.D4	464,34
D₄×D₂₉	Direct product of D₄ and D₂₉	116	4+	D4xD29	464,39
C₂²×C₂₉⋊C₄	Direct product of C₂² and C₂₉⋊C₄	116		C2^2xC29:C4	464,49

On 117 points

Groups of order 117

		d	ρ	Label	ID
C₁₃⋊C₉	The semidirect product of C₁₃ and C₉ acting via C₉/C₃=C₃	117	3	C13:C9	117,1
C₁₁₇	Cyclic group	117	1	C117	117,2
C₃×C₃₉	Abelian group of type [3,39]	117		C3xC39	117,4

Groups of order 234

		d	ρ	Label	ID
C₁₃⋊C₁₈	The semidirect product of C₁₃ and C₁₈ acting via C₁₈/C₃=C₆	117	6	C13:C18	234,1
C₁₃×D₉	Direct product of C₁₃ and D₉	117	2	C13xD9	234,3
C₉×D₁₃	Direct product of C₉ and D₁₃	117	2	C9xD13	234,4
D₁₁₇	Dihedral group	117	2+	D117	234,5
C₃²×D₁₃	Direct product of C₃² and D₁₃	117		C3^2xD13	234,11
C₁₃×C₃⋊S₃	Direct product of C₁₃ and C₃⋊S₃	117		C13xC3:S3	234,14
C₃⋊D₃₉	The semidirect product of C₃ and D₃₉ acting via D₃₉/C₃₉=C₂	117		C3:D39	234,15

Groups of order 351

		d	ρ	Label	ID
C₉×C₁₃⋊C₃	Direct product of C₉ and C₁₃⋊C₃	117	3	C9xC13:C3	351,3
C₁₁₇⋊C₃	2^nd semidirect product of C₁₁₇ and C₃ acting faithfully	117	3	C117:C3	351,4
C₁₁₇⋊₃C₃	3^rd semidirect product of C₁₁₇ and C₃ acting faithfully	117	3	C117:3C3	351,5
C₃₉.C₃²	5^th non-split extension by C₃₉ of C₃² acting via C₃²/C₃=C₃	117	3	C39.C3^2	351,7
C₁₃⋊He₃	The semidirect product of C₁₃ and He₃ acting via He₃/C₃²=C₃	117	3	C13:He3	351,8
C₁₃×He₃	Direct product of C₁₃ and He₃	117	3	C13xHe3	351,10
C₁₃×3_-¹⁺²	Direct product of C₁₃ and 3_-¹⁺²	117	3	C13xES-(3,1)	351,11
C₃²×C₁₃⋊C₃	Direct product of C₃² and C₁₃⋊C₃	117		C3^2xC13:C3	351,13

Groups of order 468

		d	ρ	Label	ID
C₁₃⋊C₃₆	The semidirect product of C₁₃ and C₃₆ acting via C₃₆/C₃=C₁₂	117	12	C13:C36	468,7
C₉×C₁₃⋊C₄	Direct product of C₉ and C₁₃⋊C₄	117	4	C9xC13:C4	468,9
C₁₃⋊Dic₉	The semidirect product of C₁₃ and Dic₉ acting via Dic₉/C₉=C₄	117	4	C13:Dic9	468,10
D₉×D₁₃	Direct product of D₉ and D₁₃	117	4+	D9xD13	468,11
C₃²×C₁₃⋊C₄	Direct product of C₃² and C₁₃⋊C₄	117		C3^2xC13:C4	468,36
C₃₉⋊Dic₃	1^st semidirect product of C₃₉ and Dic₃ acting via Dic₃/C₃=C₄	117		C39:Dic3	468,38
C₃⋊S₃×D₁₃	Direct product of C₃⋊S₃ and D₁₃	117		C3:S3xD13	468,43

On 118 points

Groups of order 118

		d	ρ	Label	ID
C₁₁₈	Cyclic group	118	1	C118	118,2

Groups of order 236

		d	ρ	Label	ID
D₁₁₈	Dihedral group; = C₂×D₅₉	118	2+	D118	236,3

On 119 points

Groups of order 119

		d	ρ	Label	ID
C₁₁₉	Cyclic group	119	1	C119	119,1

Groups of order 238

		d	ρ	Label	ID
D₇×C₁₇	Direct product of C₁₇ and D₇	119	2	D7xC17	238,1
C₇×D₁₇	Direct product of C₇ and D₁₇	119	2	C7xD17	238,2
D₁₁₉	Dihedral group	119	2+	D119	238,3

Groups of order 357

		d	ρ	Label	ID
C₁₇×C₇⋊C₃	Direct product of C₁₇ and C₇⋊C₃	119	3	C17xC7:C3	357,1

Groups of order 476

		d	ρ	Label	ID
C₇×C₁₇⋊C₄	Direct product of C₇ and C₁₇⋊C₄	119	4	C7xC17:C4	476,5
C₁₇⋊Dic₇	The semidirect product of C₁₇ and Dic₇ acting via Dic₇/C₇=C₄	119	4	C17:Dic7	476,6
D₇×D₁₇	Direct product of D₇ and D₁₇	119	4+	D7xD17	476,7

On 120 points

Groups of order 120

		d	ρ	Label	ID
C₅×C₃⋊C₈	Direct product of C₅ and C₃⋊C₈	120	2	C5xC3:C8	120,1
C₃×C₅⋊₂C₈	Direct product of C₃ and C₅⋊₂C₈	120	2	C3xC5:2C8	120,2
C₁₅⋊₃C₈	1^st semidirect product of C₁₅ and C₈ acting via C₈/C₄=C₂	120	2	C15:3C8	120,3
C₁₂₀	Cyclic group	120	1	C120	120,4
C₃×C₅⋊C₈	Direct product of C₃ and C₅⋊C₈	120	4	C3xC5:C8	120,6
C₁₅⋊C₈	1^st semidirect product of C₁₅ and C₈ acting via C₈/C₂=C₄	120	4	C15:C8	120,7
C₁₅⋊Q₈	The semidirect product of C₁₅ and Q₈ acting via Q₈/C₂=C₂²	120	4-	C15:Q8	120,14
C₃×Dic₁₀	Direct product of C₃ and Dic₁₀	120	2	C3xDic10	120,16
C₆×Dic₅	Direct product of C₆ and Dic₅	120		C6xDic5	120,19
C₅×Dic₆	Direct product of C₅ and Dic₆	120	2	C5xDic6	120,21
C₁₀×Dic₃	Direct product of C₁₀ and Dic₃	120		C10xDic3	120,24
Dic₃₀	Dicyclic group; = C₁₅ ⋊₂ Q₈	120	2-	Dic30	120,26
C₂×Dic₁₅	Direct product of C₂ and Dic₁₅	120		C2xDic15	120,29
C₂×C₆₀	Abelian group of type [2,60]	120		C2xC60	120,31
Q₈×C₁₅	Direct product of C₁₅ and Q₈	120	2	Q8xC15	120,33
C₂²×C₃₀	Abelian group of type [2,2,30]	120		C2^2xC30	120,47

Groups of order 240

		d	ρ	Label	ID
D₅×C₃⋊C₈	Direct product of D₅ and C₃⋊C₈	120	4	D5xC3:C8	240,7
S₃×C₅⋊₂C₈	Direct product of S₃ and C₅⋊₂C₈	120	4	S3xC5:2C8	240,8
D₁₅⋊₂C₈	The semidirect product of D₁₅ and C₈ acting via C₈/C₄=C₂	120	4	D15:2C8	240,9
C₂₀.₃₂D₆	11^st non-split extension by C₂₀ of D₆ acting via D₆/S₃=C₂	120	4	C20.32D6	240,10
D₆.Dic₅	The non-split extension by D₆ of Dic₅ acting via Dic₅/C₁₀=C₂	120	4	D6.Dic5	240,11
D₃₀.₅C₄	3^rd non-split extension by D₃₀ of C₄ acting via C₄/C₂=C₂	120	4	D30.5C4	240,12
C₁₅⋊D₈	1^st semidirect product of C₁₅ and D₈ acting via D₈/C₄=C₂²	120	4	C15:D8	240,13
C₃⋊D₄₀	The semidirect product of C₃ and D₄₀ acting via D₄₀/D₂₀=C₂	120	4+	C3:D40	240,14
C₅⋊D₂₄	The semidirect product of C₅ and D₂₄ acting via D₂₄/D₁₂=C₂	120	4+	C5:D24	240,15
C₃₀.D₄	4^th non-split extension by C₃₀ of D₄ acting via D₄/C₂=C₂²	120	4	C30.D4	240,16
C₂₀.D₆	4^th non-split extension by C₂₀ of D₆ acting via D₆/C₃=C₂²	120	4	C20.D6	240,17
C₆.D₂₀	2^nd non-split extension by C₆ of D₂₀ acting via D₂₀/D₁₀=C₂	120	4-	C6.D20	240,18
C₁₅⋊SD₁₆	4^th semidirect product of C₁₅ and SD₁₆ acting via SD₁₆/C₄=C₂²	120	4+	C15:SD16	240,19
D₁₂.D₅	1^st non-split extension by D₁₂ of D₅ acting via D₅/C₅=C₂	120	4-	D12.D5	240,20
Dic₆⋊D₅	1^st semidirect product of Dic₆ and D₅ acting via D₅/C₅=C₂	120	4+	Dic6:D5	240,21
D₁₀⋊Dic₃	1^st semidirect product of D₁₀ and Dic₃ acting via Dic₃/C₆=C₂	120		D10:Dic3	240,26
D₆⋊Dic₅	The semidirect product of D₆ and Dic₅ acting via Dic₅/C₁₀=C₂	120		D6:Dic5	240,27
D₃₀⋊₄C₄	2^nd semidirect product of D₃₀ and C₄ acting via C₄/C₂=C₂	120		D30:4C4	240,28
D₅×C₂₄	Direct product of C₂₄ and D₅	120	2	D5xC24	240,33
C₃×C₈⋊D₅	Direct product of C₃ and C₈⋊D₅	120	2	C3xC8:D5	240,34
C₃×C₄₀⋊C₂	Direct product of C₃ and C₄₀⋊C₂	120	2	C3xC40:C2	240,35
C₃×D₄₀	Direct product of C₃ and D₄₀	120	2	C3xD40	240,36
C₃×C₄.Dic₅	Direct product of C₃ and C₄.Dic₅	120	2	C3xC4.Dic5	240,39
C₃×D₁₀⋊C₄	Direct product of C₃ and D₁₀⋊C₄	120		C3xD10:C4	240,43
C₃×D₄⋊D₅	Direct product of C₃ and D₄⋊D₅	120	4	C3xD4:D5	240,44
C₃×D₄.D₅	Direct product of C₃ and D₄.D₅	120	4	C3xD4.D5	240,45
C₃×Q₈⋊D₅	Direct product of C₃ and Q₈⋊D₅	120	4	C3xQ8:D5	240,46
C₃×C₂³.D₅	Direct product of C₃ and C₂³.D₅	120		C3xC2^3.D5	240,48
S₃×C₄₀	Direct product of C₄₀ and S₃	120	2	S3xC40	240,49
C₅×C₈⋊S₃	Direct product of C₅ and C₈⋊S₃	120	2	C5xC8:S3	240,50
C₅×C₂₄⋊C₂	Direct product of C₅ and C₂₄⋊C₂	120	2	C5xC24:C2	240,51
C₅×D₂₄	Direct product of C₅ and D₂₄	120	2	C5xD24	240,52
C₅×C₄.Dic₃	Direct product of C₅ and C₄.Dic₃	120	2	C5xC4.Dic3	240,55
C₅×D₆⋊C₄	Direct product of C₅ and D₆⋊C₄	120		C5xD6:C4	240,59
C₅×D₄⋊S₃	Direct product of C₅ and D₄⋊S₃	120	4	C5xD4:S3	240,60
C₅×D₄.S₃	Direct product of C₅ and D₄.S₃	120	4	C5xD4.S3	240,61
C₅×Q₈⋊₂S₃	Direct product of C₅ and Q₈⋊₂S₃	120	4	C5xQ8:2S3	240,62
C₅×C₆.D₄	Direct product of C₅ and C₆.D₄	120		C5xC6.D4	240,64
C₈×D₁₅	Direct product of C₈ and D₁₅	120	2	C8xD15	240,65
C₄₀⋊S₃	4^th semidirect product of C₄₀ and S₃ acting via S₃/C₃=C₂	120	2	C40:S3	240,66
C₂₄⋊D₅	2^nd semidirect product of C₂₄ and D₅ acting via D₅/C₅=C₂	120	2	C24:D5	240,67
D₁₂₀	Dihedral group	120	2+	D120	240,68
C₆₀.₇C₄	1^st non-split extension by C₆₀ of C₄ acting via C₄/C₂=C₂	120	2	C60.7C4	240,71
D₃₀⋊₃C₄	1^st semidirect product of D₃₀ and C₄ acting via C₄/C₂=C₂	120		D30:3C4	240,75
D₄⋊D₁₅	The semidirect product of D₄ and D₁₅ acting via D₁₅/C₁₅=C₂	120	4+	D4:D15	240,76
D₄.D₁₅	The non-split extension by D₄ of D₁₅ acting via D₁₅/C₁₅=C₂	120	4-	D4.D15	240,77
Q₈⋊₂D₁₅	The semidirect product of Q₈ and D₁₅ acting via D₁₅/C₁₅=C₂	120	4+	Q8:2D15	240,78
C₃₀.₃₈D₄	7^th non-split extension by C₃₀ of D₄ acting via D₄/C₂²=C₂	120		C30.38D4	240,80
C₁₅×C₂²⋊C₄	Direct product of C₁₅ and C₂²⋊C₄	120		C15xC2^2:C4	240,82
C₁₅×M₄(2)	Direct product of C₁₅ and M₄(2)	120	2	C15xM4(2)	240,85
C₁₅×D₈	Direct product of C₁₅ and D₈	120	2	C15xD8	240,86
C₁₅×SD₁₆	Direct product of C₁₅ and SD₁₆	120	2	C15xSD16	240,87
S₃×C₅⋊C₈	Direct product of S₃ and C₅⋊C₈	120	8-	S3xC5:C8	240,98
D₁₅⋊C₈	The semidirect product of D₁₅ and C₈ acting via C₈/C₂=C₄	120	8+	D15:C8	240,99
D₆.F₅	The non-split extension by D₆ of F₅ acting via F₅/D₅=C₂	120	8-	D6.F5	240,100
Dic₃.F₅	The non-split extension by Dic₃ of F₅ acting via F₅/D₅=C₂	120	8+	Dic3.F5	240,101
C₃×D₅⋊C₈	Direct product of C₃ and D₅⋊C₈	120	4	C3xD5:C8	240,111
C₃×C₄.F₅	Direct product of C₃ and C₄.F₅	120	4	C3xC4.F5	240,112
C₃×C₂².F₅	Direct product of C₃ and C₂².F₅	120	4	C3xC2^2.F5	240,116
C₆₀.C₄	3^rd non-split extension by C₆₀ of C₄ acting faithfully	120	4	C60.C4	240,118
C₁₂.F₅	1^st non-split extension by C₁₂ of F₅ acting via F₅/D₅=C₂	120	4	C12.F5	240,119
C₁₅⋊₈M₄(2)	1^st semidirect product of C₁₅ and M₄(2) acting via M₄(2)/C₂²=C₄	120	4	C15:8M4(2)	240,123
D₅×Dic₆	Direct product of D₅ and Dic₆	120	4-	D5xDic6	240,125
D₂₀⋊₅S₃	The semidirect product of D₂₀ and S₃ acting through Inn(D₂₀)	120	4-	D20:5S3	240,126
D₂₀⋊S₃	3^rd semidirect product of D₂₀ and S₃ acting via S₃/C₃=C₂	120	4	D20:S3	240,127
S₃×Dic₁₀	Direct product of S₃ and Dic₁₀	120	4-	S3xDic10	240,128
D₁₂⋊D₅	3^rd semidirect product of D₁₂ and D₅ acting via D₅/C₅=C₂	120	4	D12:D5	240,129
D₆₀⋊C₂	6^th semidirect product of D₆₀ and C₂ acting faithfully	120	4+	D60:C2	240,130
D₁₅⋊Q₈	The semidirect product of D₁₅ and Q₈ acting via Q₈/C₄=C₂	120	4	D15:Q8	240,131
D₆.D₁₀	3^rd non-split extension by D₆ of D₁₀ acting via D₁₀/C₁₀=C₂	120	4	D6.D10	240,132
D₁₂⋊₅D₅	The semidirect product of D₁₂ and D₅ acting through Inn(D₁₂)	120	4-	D12:5D5	240,133
C₁₂.₂₈D₁₀	7^th non-split extension by C₁₂ of D₁₀ acting via D₁₀/D₅=C₂	120	4+	C12.28D10	240,134
C₂×D₅×Dic₃	Direct product of C₂, D₅ and Dic₃	120		C2xD5xDic3	240,139
Dic₅.D₆	5^th non-split extension by Dic₅ of D₆ acting via D₆/S₃=C₂	120	4	Dic5.D6	240,140
C₃₀.C₂³	17^th non-split extension by C₃₀ of C₂³ acting via C₂³/C₂=C₂²	120	4-	C30.C2^3	240,141
C₂×S₃×Dic₅	Direct product of C₂, S₃ and Dic₅	120		C2xS3xDic5	240,142
Dic₃.D₁₀	6^th non-split extension by Dic₃ of D₁₀ acting via D₁₀/D₅=C₂	120	4	Dic3.D10	240,143
C₂×D₃₀.C₂	Direct product of C₂ and D₃₀.C₂	120		C2xD30.C2	240,144
C₂×C₁₅⋊D₄	Direct product of C₂ and C₁₅⋊D₄	120		C2xC15:D4	240,145
C₂×C₃⋊D₂₀	Direct product of C₂ and C₃⋊D₂₀	120		C2xC3:D20	240,146
C₂×C₅⋊D₁₂	Direct product of C₂ and C₅⋊D₁₂	120		C2xC5:D12	240,147
D₅×C₂×C₁₂	Direct product of C₂×C₁₂ and D₅	120		D5xC2xC12	240,156
C₆×D₂₀	Direct product of C₆ and D₂₀	120		C6xD20	240,157
C₃×C₄○D₂₀	Direct product of C₃ and C₄○D₂₀	120	2	C3xC4oD20	240,158
C₃×D₄⋊₂D₅	Direct product of C₃ and D₄⋊₂D₅	120	4	C3xD4:2D5	240,160
C₃×Q₈×D₅	Direct product of C₃, Q₈ and D₅	120	4	C3xQ8xD5	240,161
C₃×Q₈⋊₂D₅	Direct product of C₃ and Q₈⋊₂D₅	120	4	C3xQ8:2D5	240,162
C₆×C₅⋊D₄	Direct product of C₆ and C₅⋊D₄	120		C6xC5:D4	240,164
S₃×C₂×C₂₀	Direct product of C₂×C₂₀ and S₃	120		S3xC2xC20	240,166
C₁₀×D₁₂	Direct product of C₁₀ and D₁₂	120		C10xD12	240,167
C₅×C₄○D₁₂	Direct product of C₅ and C₄○D₁₂	120	2	C5xC4oD12	240,168
C₅×D₄⋊₂S₃	Direct product of C₅ and D₄⋊₂S₃	120	4	C5xD4:2S3	240,170
C₅×S₃×Q₈	Direct product of C₅, S₃ and Q₈	120	4	C5xS3xQ8	240,171
C₅×Q₈⋊₃S₃	Direct product of C₅ and Q₈⋊₃S₃	120	4	C5xQ8:3S3	240,172
C₁₀×C₃⋊D₄	Direct product of C₁₀ and C₃⋊D₄	120		C10xC3:D4	240,174
C₂×C₄×D₁₅	Direct product of C₂×C₄ and D₁₅	120		C2xC4xD15	240,176
C₂×D₆₀	Direct product of C₂ and D₆₀	120		C2xD60	240,177
D₆₀⋊₁₁C₂	The semidirect product of D₆₀ and C₂ acting through Inn(D₆₀)	120	2	D60:11C2	240,178
D₄⋊₂D₁₅	The semidirect product of D₄ and D₁₅ acting through Inn(D₄)	120	4-	D4:2D15	240,180
Q₈×D₁₅	Direct product of Q₈ and D₁₅	120	4-	Q8xD15	240,181
Q₈⋊₃D₁₅	The semidirect product of Q₈ and D₁₅ acting through Inn(Q₈)	120	4+	Q8:3D15	240,182
C₂×C₁₅⋊₇D₄	Direct product of C₂ and C₁₅⋊₇D₄	120		C2xC15:7D4	240,184
D₄×C₃₀	Direct product of C₃₀ and D₄	120		D4xC30	240,186
C₁₅×C₄○D₄	Direct product of C₁₅ and C₄○D₄	120	2	C15xC4oD4	240,188
D₅×C₂²×C₆	Direct product of C₂²×C₆ and D₅	120		D5xC2^2xC6	240,205
S₃×C₂²×C₁₀	Direct product of C₂²×C₁₀ and S₃	120		S3xC2^2xC10	240,206
C₂³×D₁₅	Direct product of C₂³ and D₁₅	120		C2^3xD15	240,207

Groups of order 360

		d	ρ	Label	ID
C₁₅×C₃⋊C₈	Direct product of C₁₅ and C₃⋊C₈	120	2	C15xC3:C8	360,34
C₃×C₁₅⋊₃C₈	Direct product of C₃ and C₁₅⋊₃C₈	120	2	C3xC15:3C8	360,35
C₃×C₁₅⋊C₈	Direct product of C₃ and C₁₅⋊C₈	120	4	C3xC15:C8	360,53
C₅×C₃²⋊₂C₈	Direct product of C₅ and C₃²⋊₂C₈	120	4	C5xC3^2:2C8	360,55
(C₃×C₁₅)⋊₉C₈	6^th semidirect product of C₃×C₁₅ and C₈ acting via C₈/C₂=C₄	120	4	(C3xC15):9C8	360,56
(C₃×C₆).F₅	The non-split extension by C₃×C₆ of F₅ acting via F₅/C₅=C₄	120	4-	(C3xC6).F5	360,57
C₃×S₃×Dic₅	Direct product of C₃, S₃ and Dic₅	120	4	C3xS3xDic5	360,59
C₃×D₃₀.C₂	Direct product of C₃ and D₃₀.C₂	120	4	C3xD30.C2	360,60
C₃×C₅⋊D₁₂	Direct product of C₃ and C₅⋊D₁₂	120	4	C3xC5:D12	360,63
C₃×C₁₅⋊Q₈	Direct product of C₃ and C₁₅⋊Q₈	120	4	C3xC15:Q8	360,64
C₅×S₃×Dic₃	Direct product of C₅, S₃ and Dic₃	120	4	C5xS3xDic3	360,72
C₅×D₆⋊S₃	Direct product of C₅ and D₆⋊S₃	120	4	C5xD6:S3	360,74
C₅×C₃²⋊₂Q₈	Direct product of C₅ and C₃²⋊₂Q₈	120	4	C5xC3^2:2Q8	360,76
Dic₃×D₁₅	Direct product of Dic₃ and D₁₅	120	4-	Dic3xD15	360,77
S₃×Dic₁₅	Direct product of S₃ and Dic₁₅	120	4-	S3xDic15	360,78
D₆⋊D₁₅	1^st semidirect product of D₆ and D₁₅ acting via D₁₅/C₁₅=C₂	120	4-	D6:D15	360,80
C₃⋊Dic₃₀	The semidirect product of C₃ and Dic₃₀ acting via Dic₃₀/Dic₁₅=C₂	120	4-	C3:Dic30	360,83
D₃₀.S₃	The non-split extension by D₃₀ of S₃ acting via S₃/C₃=C₂	120	4	D30.S3	360,84
C₃²⋊₃D₂₀	2^nd semidirect product of C₃² and D₂₀ acting via D₂₀/C₁₀=C₂²	120	4	C3^2:3D20	360,87
C₃²⋊₃Dic₁₀	2^nd semidirect product of C₃² and Dic₁₀ acting via Dic₁₀/C₁₀=C₂²	120	4	C3^2:3Dic10	360,88
C₁₅×SL₂(𝔽₃)	Direct product of C₁₅ and SL₂(𝔽₃)	120	2	C15xSL(2,3)	360,89
C₁₅×Dic₆	Direct product of C₁₅ and Dic₆	120	2	C15xDic6	360,95
S₃×C₆₀	Direct product of C₆₀ and S₃	120	2	S3xC60	360,96
C₁₅×D₁₂	Direct product of C₁₅ and D₁₂	120	2	C15xD12	360,97
Dic₃×C₃₀	Direct product of C₃₀ and Dic₃	120		Dic3xC30	360,98
C₃×Dic₃₀	Direct product of C₃ and Dic₃₀	120	2	C3xDic30	360,100
C₁₂×D₁₅	Direct product of C₁₂ and D₁₅	120	2	C12xD15	360,101
C₃×D₆₀	Direct product of C₃ and D₆₀	120	2	C3xD60	360,102
C₆×Dic₁₅	Direct product of C₆ and Dic₁₅	120		C6xDic15	360,103
S₃×C₂×C₃₀	Direct product of C₂×C₃₀ and S₃	120		S3xC2xC30	360,158
C₂×C₆×D₁₅	Direct product of C₂×C₆ and D₁₅	120		C2xC6xD15	360,159

Groups of order 480

		d	ρ	Label	ID
C₆₀.₂₈D₄	28^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4	C60.28D4	480,34
C₂₀.₅D₁₂	5^th non-split extension by C₂₀ of D₁₂ acting via D₁₂/C₆=C₂²	120	4	C20.5D12	480,35
C₆₀.₂₉D₄	29^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4+	C60.29D4	480,36
C₆₀.₉₆D₄	96^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4	C60.96D4	480,52
C₆₀.₉₇D₄	97^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4	C60.97D4	480,53
C₆₀.₉₈D₄	98^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4	C60.98D4	480,54
C₆₀.₉₉D₄	99^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4	C60.99D4	480,55
D₆₀⋊₁₃C₄	7^th semidirect product of D₆₀ and C₄ acting via C₄/C₂=C₂	120	4	D60:13C4	480,56
D₆₀⋊₁₆C₄	10^th semidirect product of D₆₀ and C₄ acting via C₄/C₂=C₂	120	4	D60:16C4	480,57
(C₂×C₆).D₂₀	2^nd non-split extension by C₂×C₆ of D₂₀ acting via D₂₀/C₁₀=C₂²	120	4	(C2xC6).D20	480,71
C₁₅⋊₈(C₂³⋊C₄)	2^nd semidirect product of C₁₅ and C₂³⋊C₄ acting via C₂³⋊C₄/C₂³=C₂²	120	4	C15:8(C2^3:C4)	480,72
C₁₅⋊₉(C₂³⋊C₄)	3^rd semidirect product of C₁₅ and C₂³⋊C₄ acting via C₂³⋊C₄/C₂³=C₂²	120	4	C15:9(C2^3:C4)	480,73
C₃×D₂₀⋊₄C₄	Direct product of C₃ and D₂₀⋊₄C₄	120	2	C3xD20:4C4	480,83
C₃×C₂³.₁D₁₀	Direct product of C₃ and C₂³.₁D₁₀	120	4	C3xC2^3.1D10	480,84
C₃×C₂₀.₄₆D₄	Direct product of C₃ and C₂₀.₄₆D₄	120	4	C3xC20.46D4	480,101
C₃×D₂₀⋊₇C₄	Direct product of C₃ and D₂₀⋊₇C₄	120	4	C3xD20:7C4	480,103
C₃×C₂₀.D₄	Direct product of C₃ and C₂₀.D₄	120	4	C3xC20.D4	480,111
C₃×C₂³⋊Dic₅	Direct product of C₃ and C₂³⋊Dic₅	120	4	C3xC2^3:Dic5	480,112
C₃×D₄⋊₂Dic₅	Direct product of C₃ and D₄⋊₂Dic₅	120	4	C3xD4:2Dic5	480,115
C₅×C₄²⋊₄S₃	Direct product of C₅ and C₄²⋊₄S₃	120	2	C5xC4^2:4S3	480,124
C₅×C₂³.₆D₆	Direct product of C₅ and C₂³.₆D₆	120	4	C5xC2^3.6D6	480,125
C₅×C₁₂.₄₆D₄	Direct product of C₅ and C₁₂.₄₆D₄	120	4	C5xC12.46D4	480,142
C₅×D₁₂⋊C₄	Direct product of C₅ and D₁₂⋊C₄	120	4	C5xD12:C4	480,144
C₅×C₁₂.D₄	Direct product of C₅ and C₁₂.D₄	120	4	C5xC12.D4	480,152
C₅×C₂³.₇D₆	Direct product of C₅ and C₂³.₇D₆	120	4	C5xC2^3.7D6	480,153
C₅×Q₈⋊₃Dic₃	Direct product of C₅ and Q₈⋊₃Dic₃	120	4	C5xQ8:3Dic3	480,156
D₆₀⋊₇C₄	1^st semidirect product of D₆₀ and C₄ acting via C₄/C₂=C₂	120	2	D60:7C4	480,165
C₂³.₆D₃₀	1^st non-split extension by C₂³ of D₃₀ acting via D₃₀/C₁₅=C₂²	120	4	C2^3.6D30	480,166
M₄(2)⋊D₁₅	3^rd semidirect product of M₄(2) and D₁₅ acting via D₁₅/C₁₅=C₂	120	4+	M4(2):D15	480,183
D₆₀⋊₁₀C₄	4^th semidirect product of D₆₀ and C₄ acting via C₄/C₂=C₂	120	4	D60:10C4	480,185
C₆₀.₈D₄	8^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4	C60.8D4	480,193
C₂³.₇D₃₀	2^nd non-split extension by C₂³ of D₃₀ acting via D₃₀/C₁₅=C₂²	120	4	C2^3.7D30	480,194
Q₈⋊₃Dic₁₅	2^nd semidirect product of Q₈ and Dic₁₅ acting via Dic₁₅/C₃₀=C₂	120	4	Q8:3Dic15	480,197
C₁₅×C₂³⋊C₄	Direct product of C₁₅ and C₂³⋊C₄	120	4	C15xC2^3:C4	480,202
C₁₅×C₄.D₄	Direct product of C₁₅ and C₄.D₄	120	4	C15xC4.D4	480,203
C₁₅×C₄≀C₂	Direct product of C₁₅ and C₄≀C₂	120	2	C15xC4wrC2	480,207
F₅×C₃⋊C₈	Direct product of F₅ and C₃⋊C₈	120	8	F5xC3:C8	480,223
C₃₀.C₄²	2^nd non-split extension by C₃₀ of C₄² acting via C₄²/C₂=C₂×C₄	120	8	C30.C4^2	480,224
C₃₀.₃C₄²	3^rd non-split extension by C₃₀ of C₄² acting via C₄²/C₂=C₂×C₄	120	8	C30.3C4^2	480,225
C₃₀.₄C₄²	4^th non-split extension by C₃₀ of C₄² acting via C₄²/C₂=C₂×C₄	120	8	C30.4C4^2	480,226
D₆₀⋊C₄	1^st semidirect product of D₆₀ and C₄ acting faithfully	120	8+	D60:C4	480,227
D₁₂⋊F₅	1^st semidirect product of D₁₂ and F₅ acting via F₅/D₅=C₂	120	8+	D12:F5	480,228
Dic₆⋊F₅	3^rd semidirect product of Dic₆ and F₅ acting via F₅/D₅=C₂	120	8-	Dic6:F5	480,229
Dic₃₀⋊C₄	4^th semidirect product of Dic₃₀ and C₄ acting faithfully	120	8-	Dic30:C4	480,230
D₁₂⋊₄F₅	4^th semidirect product of D₁₂ and F₅ acting via F₅/D₅=C₂	120	8-	D12:4F5	480,231
D₁₂⋊₂F₅	2^nd semidirect product of D₁₂ and F₅ acting via F₅/D₅=C₂	120	8-	D12:2F5	480,232
D₆₀⋊₂C₄	2^nd semidirect product of D₆₀ and C₄ acting faithfully	120	8+	D60:2C4	480,233
D₆₀⋊₅C₄	5^th semidirect product of D₆₀ and C₄ acting faithfully	120	8+	D60:5C4	480,234
Dic₅.Dic₆	3^rd non-split extension by Dic₅ of Dic₆ acting via Dic₆/Dic₃=C₂	120	8	Dic5.Dic6	480,235
Dic₅.₄Dic₆	4^th non-split extension by Dic₅ of Dic₆ acting via Dic₆/Dic₃=C₂	120	8	Dic5.4Dic6	480,236
D₁₀.₂₀D₁₂	9^th non-split extension by D₁₀ of D₁₂ acting via D₁₂/D₆=C₂	120		D10.20D12	480,243
D₁₀.D₁₂	3^rd non-split extension by D₁₀ of D₁₂ acting via D₁₂/C₆=C₂²	120	8-	D10.D12	480,248
D₁₀.₄D₁₂	4^th non-split extension by D₁₀ of D₁₂ acting via D₁₂/C₆=C₂²	120	8+	D10.4D12	480,249
Dic₅.D₁₂	3^rd non-split extension by Dic₅ of D₁₂ acting via D₁₂/C₆=C₂²	120	8+	Dic5.D12	480,250
C₅×A₄⋊C₈	Direct product of C₅ and A₄⋊C₈	120	3	C5xA4:C8	480,255
C₅×U₂(𝔽₃)	Direct product of C₅ and U₂(𝔽₃)	120	2	C5xU(2,3)	480,257
C₂₀.S₄	4^th non-split extension by C₂₀ of S₄ acting via S₄/A₄=C₂	120	6	C20.S4	480,259
C₅⋊₂U₂(𝔽₃)	The semidirect product of C₅ and U₂(𝔽₃) acting via U₂(𝔽₃)/C₄.A₄=C₂	120	4	C5:2U(2,3)	480,261
A₄×C₅⋊₂C₈	Direct product of A₄ and C₅⋊₂C₈	120	6	A4xC5:2C8	480,265
F₅×C₂₄	Direct product of C₂₄ and F₅	120	4	F5xC24	480,271
C₃×C₈⋊F₅	Direct product of C₃ and C₈⋊F₅	120	4	C3xC8:F5	480,272
C₃×C₄₀⋊C₄	Direct product of C₃ and C₄₀⋊C₄	120	4	C3xC40:C4	480,273
C₃×D₅.D₈	Direct product of C₃ and D₅.D₈	120	4	C3xD5.D8	480,274
C₃×D₁₀.D₄	Direct product of C₃ and D₁₀.D₄	120	4	C3xD10.D4	480,279
C₃×D₁₀.₃Q₈	Direct product of C₃ and D₁₀.₃Q₈	120		C3xD10.3Q8	480,286
C₃×D₂₀⋊C₄	Direct product of C₃ and D₂₀⋊C₄	120	8	C3xD20:C4	480,287
C₃×D₄⋊F₅	Direct product of C₃ and D₄⋊F₅	120	8	C3xD4:F5	480,288
C₃×Q₈⋊F₅	Direct product of C₃ and Q₈⋊F₅	120	8	C3xQ8:F5	480,289
C₃×Q₈⋊₂F₅	Direct product of C₃ and Q₈⋊₂F₅	120	8	C3xQ8:2F5	480,290
C₃×C₂³⋊F₅	Direct product of C₃ and C₂³⋊F₅	120	4	C3xC2^3:F5	480,291
C₃×C₂³.F₅	Direct product of C₃ and C₂³.F₅	120	4	C3xC2^3.F5	480,293
C₈×C₃⋊F₅	Direct product of C₈ and C₃⋊F₅	120	4	C8xC3:F5	480,296
C₂₄⋊F₅	5^th semidirect product of C₂₄ and F₅ acting via F₅/D₅=C₂	120	4	C24:F5	480,297
C₁₂₀⋊C₄	2^nd semidirect product of C₁₂₀ and C₄ acting faithfully	120	4	C120:C4	480,298
D₅.D₂₄	The non-split extension by D₅ of D₂₄ acting via D₂₄/C₂₄=C₂	120	4	D5.D24	480,299
(C₂×C₆₀)⋊C₄	2^nd semidirect product of C₂×C₆₀ and C₄ acting faithfully	120	4	(C2xC60):C4	480,304
D₁₀.₁₀D₁₂	6^th non-split extension by D₁₀ of D₁₂ acting via D₁₂/C₁₂=C₂	120		D10.10D12	480,311
D₂₀⋊Dic₃	1^st semidirect product of D₂₀ and Dic₃ acting via Dic₃/C₃=C₄	120	8	D20:Dic3	480,312
Dic₁₀⋊Dic₃	1^st semidirect product of Dic₁₀ and Dic₃ acting via Dic₃/C₃=C₄	120	8	Dic10:Dic3	480,313
Dic₁₀⋊₂Dic₃	2^nd semidirect product of Dic₁₀ and Dic₃ acting via Dic₃/C₃=C₄	120	8	Dic10:2Dic3	480,314
D₂₀⋊₂Dic₃	2^nd semidirect product of D₂₀ and Dic₃ acting via Dic₃/C₃=C₄	120	8	D20:2Dic3	480,315
C₃⋊(C₂³⋊F₅)	The semidirect product of C₃ and C₂³⋊F₅ acting via C₂³⋊F₅/C₂×C₅⋊D₄=C₂	120	4	C3:(C2^3:F5)	480,316
C₅⋊(C₁₂.D₄)	The semidirect product of C₅ and C₁₂.D₄ acting via C₁₂.D₄/C₂²×C₆=C₄	120	4	C5:(C12.D4)	480,318
S₃×C₈×D₅	Direct product of C₈, S₃ and D₅	120	4	S3xC8xD5	480,319
D₅×C₈⋊S₃	Direct product of D₅ and C₈⋊S₃	120	4	D5xC8:S3	480,320
S₃×C₈⋊D₅	Direct product of S₃ and C₈⋊D₅	120	4	S3xC8:D5	480,321
C₄₀⋊D₆	17^th semidirect product of C₄₀ and D₆ acting via D₆/C₃=C₂²	120	4	C40:D6	480,322
D₅×C₂₄⋊C₂	Direct product of D₅ and C₂₄⋊C₂	120	4	D5xC24:C2	480,323
D₅×D₂₄	Direct product of D₅ and D₂₄	120	4+	D5xD24	480,324
C₂₄⋊D₁₀	1^st semidirect product of C₂₄ and D₁₀ acting via D₁₀/C₅=C₂²	120	4+	C24:D10	480,325
D₂₄⋊D₅	2^nd semidirect product of D₂₄ and D₅ acting via D₅/C₅=C₂	120	4	D24:D5	480,326
S₃×C₄₀⋊C₂	Direct product of S₃ and C₄₀⋊C₂	120	4	S3xC40:C2	480,327
S₃×D₄₀	Direct product of S₃ and D₄₀	120	4+	S3xD40	480,328
C₄₀⋊₁D₆	1^st semidirect product of C₄₀ and D₆ acting via D₆/C₃=C₂²	120	4+	C40:1D6	480,329
D₄₀⋊S₃	2^nd semidirect product of D₄₀ and S₃ acting via S₃/C₃=C₂	120	4	D40:S3	480,330
C₄₀⋊₁₄D₆	14^th semidirect product of C₄₀ and D₆ acting via D₆/C₃=C₂²	120	4	C40:14D6	480,331
C₄₀⋊₅D₆	5^th semidirect product of C₄₀ and D₆ acting via D₆/C₃=C₂²	120	4	C40:5D6	480,332
D₂₄⋊₆D₅	6^th semidirect product of D₂₄ and D₅ acting via D₅/C₅=C₂	120	4	D24:6D5	480,333
C₄₀⋊₈D₆	8^th semidirect product of C₄₀ and D₆ acting via D₆/C₃=C₂²	120	4	C40:8D6	480,334
D₅×C₄.Dic₃	Direct product of D₅ and C₄.Dic₃	120	4	D5xC4.Dic3	480,358
S₃×C₄.Dic₅	Direct product of S₃ and C₄.Dic₅	120	4	S3xC4.Dic5	480,363
D₁₅⋊₄M₄(2)	The semidirect product of D₁₅ and M₄(2) acting via M₄(2)/C₂×C₄=C₂	120	4	D15:4M4(2)	480,368
C₆₀.₃₆D₄	36^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4	C60.36D4	480,374
D₂₀⋊₂₁D₆	4^th semidirect product of D₂₀ and D₆ acting via D₆/C₆=C₂	120	4	D20:21D6	480,375
D₂₀⋊₁₉D₆	2^nd semidirect product of D₂₀ and D₆ acting via D₆/C₆=C₂	120	4+	D20:19D6	480,377
D₆₀⋊₃₆C₂²	17^th semidirect product of D₆₀ and C₂² acting via C₂²/C₂=C₂	120	4	D60:36C2^2	480,380
C₆₀.₃₈D₄	38^th non-split extension by C₆₀ of D₄ acting via D₄/C₂=C₂²	120	4+	C60.38D4	480,381
D₆₀⋊₃₀C₂²	11^st semidirect product of D₆₀ and C₂² acting via C₂²/C₂=C₂	120	4	D60:30C2^2	480,388
D₅×D₆⋊C₄	Direct product of D₅ and D₆⋊C₄	120		D5xD6:C4	480,547
S₃×D₁₀⋊C₄	Direct product of S₃ and D₁₀⋊C₄	120		S3xD10:C4	480,548
D₃₀.₂₇D₄	11^st non-split extension by D₃₀ of D₄ acting via D₄/C₄=C₂	120		D30.27D4	480,549
D₆⋊₄D₂₀	1^st semidirect product of D₆ and D₂₀ acting via D₂₀/D₁₀=C₂	120		D6:4D20	480,550
D₃₀⋊₄D₄	4^th semidirect product of D₃₀ and D₄ acting via D₄/C₂=C₂²	120		D30:4D4	480,551
D₃₀⋊₅D₄	5^th semidirect product of D₃₀ and D₄ acting via D₄/C₂=C₂²	120		D30:5D4	480,552
D₅×D₄⋊S₃	Direct product of D₅ and D₄⋊S₃	120	8+	D5xD4:S3	480,553
Dic₁₀⋊₃D₆	3^rd semidirect product of Dic₁₀ and D₆ acting via D₆/C₃=C₂²	120	8+	Dic10:3D6	480,554
S₃×D₄⋊D₅	Direct product of S₃ and D₄⋊D₅	120	8+	S3xD4:D5	480,555
D₆₀.C₂²	2^nd non-split extension by D₆₀ of C₂² acting faithfully	120	8+	D60.C2^2	480,556
D₁₅⋊D₈	The semidirect product of D₁₅ and D₈ acting via D₈/D₄=C₂	120	8+	D15:D8	480,557
D₃₀.₈D₄	8^th non-split extension by D₃₀ of D₄ acting via D₄/C₂=C₂²	120	8-	D30.8D4	480,558
D₅×D₄.S₃	Direct product of D₅ and D₄.S₃	120	8-	D5xD4.S3	480,559
S₃×D₄.D₅	Direct product of S₃ and D₄.D₅	120	8-	S3xD4.D5	480,561
Dic₁₀⋊D₆	4^th semidirect product of Dic₁₀ and D₆ acting via D₆/C₃=C₂²	120	8+	Dic10:D6	480,563
D₁₂⋊₁₀D₁₀	4^th semidirect product of D₁₂ and D₁₀ acting via D₁₀/D₅=C₂	120	8-	D12:10D10	480,565
D₂₀.₉D₆	9^th non-split extension by D₂₀ of D₆ acting via D₆/C₃=C₂²	120	8+	D20.9D6	480,567
D₂₀⋊₁₀D₆	4^th semidirect product of D₂₀ and D₆ acting via D₆/S₃=C₂	120	8-	D20:10D6	480,570
D₁₂.₉D₁₀	9^th non-split extension by D₁₂ of D₁₀ acting via D₁₀/C₅=C₂²	120	8+	D12.9D10	480,572
Dic₆⋊D₁₀	5^th semidirect product of Dic₆ and D₁₀ acting via D₁₀/C₅=C₂²	120	8+	Dic6:D10	480,574
D₁₂⋊₅D₁₀	5^th semidirect product of D₁₂ and D₁₀ acting via D₁₀/C₅=C₂²	120	8+	D12:5D10	480,576
D₅×Q₈⋊₂S₃	Direct product of D₅ and Q₈⋊₂S₃	120	8+	D5xQ8:2S3	480,577
D₂₀⋊D₆	6^th semidirect product of D₂₀ and D₆ acting via D₆/C₃=C₂²	120	8+	D20:D6	480,578
S₃×Q₈⋊D₅	Direct product of S₃ and Q₈⋊D₅	120	8+	S3xQ8:D5	480,579
D₁₂⋊D₁₀	6^th semidirect product of D₁₂ and D₁₀ acting via D₁₀/C₅=C₂²	120	8+	D12:D10	480,580
D₁₅⋊SD₁₆	The semidirect product of D₁₅ and SD₁₆ acting via SD₁₆/Q₈=C₂	120	8-	D15:SD16	480,581
D₆₀⋊C₂²	6^th semidirect product of D₆₀ and C₂² acting faithfully	120	8+	D60:C2^2	480,582
D₅×C₆.D₄	Direct product of D₅ and C₆.D₄	120		D5xC6.D4	480,623
S₃×C₂³.D₅	Direct product of S₃ and C₂³.D₅	120		S3xC2^3.D5	480,630
D₃₀.₄₅D₄	18^th non-split extension by D₃₀ of D₄ acting via D₄/C₂²=C₂	120		D30.45D4	480,637
(C₂×C₃₀)⋊D₄	4^th semidirect product of C₂×C₃₀ and D₄ acting via D₄/C₂=C₂²	120		(C2xC30):D4	480,639
(C₂×C₆)⋊₈D₂₀	2^nd semidirect product of C₂×C₆ and D₂₀ acting via D₂₀/D₁₀=C₂	120		(C2xC6):8D20	480,640
C₁₅⋊C₂²≀C₂	3^rd semidirect product of C₁₅ and C₂²≀C₂ acting via C₂²≀C₂/C₂³=C₂²	120		C15:C2^2wrC2	480,644
(C₂×C₁₀)⋊₁₁D₁₂	2^nd semidirect product of C₂×C₁₀ and D₁₂ acting via D₁₂/D₆=C₂	120		(C2xC10):11D12	480,646
D₃₀⋊₁₈D₄	3^rd semidirect product of D₃₀ and D₄ acting via D₄/C₂²=C₂	120		D30:18D4	480,648
D₃₀⋊₁₉D₄	4^th semidirect product of D₃₀ and D₄ acting via D₄/C₂²=C₂	120		D30:19D4	480,649
D₃₀⋊₈D₄	8^th semidirect product of D₃₀ and D₄ acting via D₄/C₂=C₂²	120		D30:8D4	480,653
A₄×C₄₀	Direct product of C₄₀ and A₄	120	3	A4xC40	480,659
C₃×D₅×C₂²⋊C₄	Direct product of C₃, D₅ and C₂²⋊C₄	120		C3xD5xC2^2:C4	480,673
C₃×C₂²⋊D₂₀	Direct product of C₃ and C₂²⋊D₂₀	120		C3xC2^2:D20	480,675
C₃×D₅×M₄(2)	Direct product of C₃, D₅ and M₄(2)	120	4	C3xD5xM4(2)	480,699
C₃×C₈⋊D₁₀	Direct product of C₃ and C₈⋊D₁₀	120	4	C3xC8:D10	480,701
C₃×D₅×D₈	Direct product of C₃, D₅ and D₈	120	4	C3xD5xD8	480,703
C₃×D₈⋊D₅	Direct product of C₃ and D₈⋊D₅	120	4	C3xD8:D5	480,704
C₃×D₅×SD₁₆	Direct product of C₃, D₅ and SD₁₆	120	4	C3xD5xSD16	480,706
C₃×D₄₀⋊C₂	Direct product of C₃ and D₄₀⋊C₂	120	4	C3xD40:C2	480,707
C₃×D₄.D₁₀	Direct product of C₃ and D₄.D₁₀	120	4	C3xD4.D10	480,725
C₃×C₂³⋊D₁₀	Direct product of C₃ and C₂³⋊D₁₀	120		C3xC2^3:D10	480,730
C₃×D₄⋊D₁₀	Direct product of C₃ and D₄⋊D₁₀	120	4	C3xD4:D10	480,742
C₃×C₂⁴⋊₂D₅	Direct product of C₃ and C₂⁴⋊₂D₅	120		C3xC2^4:2D5	480,746
C₅×S₃×C₂²⋊C₄	Direct product of C₅, S₃ and C₂²⋊C₄	120		C5xS3xC2^2:C4	480,759
C₅×D₆⋊D₄	Direct product of C₅ and D₆⋊D₄	120		C5xD6:D4	480,761
C₅×S₃×M₄(2)	Direct product of C₅, S₃ and M₄(2)	120	4	C5xS3xM4(2)	480,785
C₅×C₈⋊D₆	Direct product of C₅ and C₈⋊D₆	120	4	C5xC8:D6	480,787
C₅×S₃×D₈	Direct product of C₅, S₃ and D₈	120	4	C5xS3xD8	480,789
C₅×D₈⋊S₃	Direct product of C₅ and D₈⋊S₃	120	4	C5xD8:S3	480,790
C₅×S₃×SD₁₆	Direct product of C₅, S₃ and SD₁₆	120	4	C5xS3xSD16	480,792
C₅×Q₈⋊₃D₆	Direct product of C₅ and Q₈⋊₃D₆	120	4	C5xQ8:3D6	480,793
C₅×D₁₂⋊₆C₂²	Direct product of C₅ and D₁₂⋊₆C₂²	120	4	C5xD12:6C2^2	480,811
C₅×C₂³⋊₂D₆	Direct product of C₅ and C₂³⋊₂D₆	120		C5xC2^3:2D6	480,816
C₅×D₄⋊D₆	Direct product of C₅ and D₄⋊D₆	120	4	C5xD4:D6	480,828
C₅×C₂⁴⋊₄S₃	Direct product of C₅ and C₂⁴⋊₄S₃	120		C5xC2^4:4S3	480,832
C₂²⋊C₄×D₁₅	Direct product of C₂²⋊C₄ and D₁₅	120		C2^2:C4xD15	480,845
D₃₀⋊₁₆D₄	1^st semidirect product of D₃₀ and D₄ acting via D₄/C₂²=C₂	120		D30:16D4	480,847
M₄(2)×D₁₅	Direct product of M₄(2) and D₁₅	120	4	M4(2)xD15	480,871
C₈⋊D₃₀	1^st semidirect product of C₈ and D₃₀ acting via D₃₀/C₁₅=C₂²	120	4+	C8:D30	480,873
D₈×D₁₅	Direct product of D₈ and D₁₅	120	4+	D8xD15	480,875
D₈⋊D₁₅	2^nd semidirect product of D₈ and D₁₅ acting via D₁₅/C₁₅=C₂	120	4	D8:D15	480,876
SD₁₆×D₁₅	Direct product of SD₁₆ and D₁₅	120	4	SD16xD15	480,878
Q₈⋊₃D₃₀	2^nd semidirect product of Q₈ and D₃₀ acting via D₃₀/D₁₅=C₂	120	4+	Q8:3D30	480,879
D₄.D₃₀	1^st non-split extension by D₄ of D₃₀ acting via D₃₀/C₃₀=C₂	120	4	D4.D30	480,897
D₃₀⋊₁₇D₄	2^nd semidirect product of D₃₀ and D₄ acting via D₄/C₂²=C₂	120		D30:17D4	480,902
D₄⋊D₃₀	2^nd semidirect product of D₄ and D₃₀ acting via D₃₀/C₃₀=C₂	120	4+	D4:D30	480,914
C₂⁴⋊₅D₁₅	1^st semidirect product of C₂⁴ and D₁₅ acting via D₁₅/C₁₅=C₂	120		C2^4:5D15	480,918
C₁₅×C₂²≀C₂	Direct product of C₁₅ and C₂²≀C₂	120		C15xC2^2wrC2	480,925
C₁₅×C₈⋊C₂²	Direct product of C₁₅ and C₈⋊C₂²	120	4	C15xC8:C2^2	480,941
C₅⋊U₂(𝔽₃)	The semidirect product of C₅ and U₂(𝔽₃) acting via U₂(𝔽₃)/SL₂(𝔽₃)=C₄	120	8+	C5:U(2,3)	480,961
Dic₅.S₄	5^th non-split extension by Dic₅ of S₄ acting via S₄/A₄=C₂	120	12-	Dic5.S4	480,963
A₄×C₅⋊C₈	Direct product of A₄ and C₅⋊C₈	120	12-	A4xC5:C8	480,966
A₄⋊Dic₁₀	The semidirect product of A₄ and Dic₁₀ acting via Dic₁₀/Dic₅=C₂	120	6-	A4:Dic10	480,975
F₅×Dic₆	Direct product of F₅ and Dic₆	120	8-	F5xDic6	480,982
C₄⋊F₅⋊₃S₃	The semidirect product of C₄⋊F₅ and S₃ acting through Inn(C₄⋊F₅)	120	8	C4:F5:3S3	480,983
Dic₆⋊₅F₅	5^th semidirect product of Dic₆ and F₅ acting via F₅/D₅=C₂	120	8-	Dic6:5F5	480,984
(C₄×S₃)⋊F₅	3^rd semidirect product of C₄×S₃ and F₅ acting via F₅/D₅=C₂	120	8	(C4xS3):F5	480,985
S₃×D₅⋊C₈	Direct product of S₃ and D₅⋊C₈	120	8	S3xD5:C8	480,986
S₃×C₄.F₅	Direct product of S₃ and C₄.F₅	120	8	S3xC4.F5	480,988
D₁₅⋊M₄(2)	The semidirect product of D₁₅ and M₄(2) acting via M₄(2)/C₄=C₄	120	8	D15:M4(2)	480,991
C₅⋊C₈⋊D₆	1^st semidirect product of C₅⋊C₈ and D₆ acting via D₆/C₆=C₂	120	8	C5:C8:D6	480,993
C₂×Dic₃×F₅	Direct product of C₂, Dic₃ and F₅	120		C2xDic3xF5	480,998
C₂²⋊F₅.S₃	The non-split extension by C₂²⋊F₅ of S₃ acting through Inn(C₂²⋊F₅)	120	8-	C2^2:F5.S3	480,999
C₂×D₆⋊F₅	Direct product of C₂ and D₆⋊F₅	120		C2xD6:F5	480,1000
C₂×Dic₃⋊F₅	Direct product of C₂ and Dic₃⋊F₅	120		C2xDic3:F5	480,1001
S₃×C₂².F₅	Direct product of S₃ and C₂².F₅	120	8-	S3xC2^2.F5	480,1004
D₁₅⋊₂M₄(2)	The semidirect product of D₁₅ and M₄(2) acting via M₄(2)/C₂²=C₄	120	8+	D15:2M4(2)	480,1007
C₅×A₄⋊Q₈	Direct product of C₅ and A₄⋊Q₈	120	6	C5xA4:Q8	480,1013
C₁₀×A₄⋊C₄	Direct product of C₁₀ and A₄⋊C₄	120		C10xA4:C4	480,1022
C₂₀.₁S₄	1^st non-split extension by C₂₀ of S₄ acting via S₄/A₄=C₂	120	6-	C20.1S4	480,1024
C₂×A₄⋊Dic₅	Direct product of C₂ and A₄⋊Dic₅	120		C2xA4:Dic5	480,1033
A₄×Dic₁₀	Direct product of A₄ and Dic₁₀	120	6-	A4xDic10	480,1035
Dic₁₀.A₄	The non-split extension by Dic₁₀ of A₄ acting through Inn(Dic₁₀)	120	4+	Dic10.A4	480,1041
C₂×A₄×Dic₅	Direct product of C₂, A₄ and Dic₅	120		C2xA4xDic5	480,1044
C₃×D₅⋊M₄(2)	Direct product of C₃ and D₅⋊M₄(2)	120	4	C3xD5:M4(2)	480,1049
F₅×C₂×C₁₂	Direct product of C₂×C₁₂ and F₅	120		F5xC2xC12	480,1050
C₆×C₄⋊F₅	Direct product of C₆ and C₄⋊F₅	120		C6xC4:F5	480,1051
C₃×D₁₀.C₂³	Direct product of C₃ and D₁₀.C₂³	120	4	C3xD10.C2^3	480,1052
C₃×Q₈×F₅	Direct product of C₃, Q₈ and F₅	120	8	C3xQ8xF5	480,1056
C₆×C₂²⋊F₅	Direct product of C₆ and C₂²⋊F₅	120		C6xC2^2:F5	480,1059
C₆₀.₅₉(C₂×C₄)	13^rd non-split extension by C₆₀ of C₂×C₄ acting via C₂×C₄/C₂=C₄	120	4	C60.59(C2xC4)	480,1062
C₂×C₄×C₃⋊F₅	Direct product of C₂×C₄ and C₃⋊F₅	120		C2xC4xC3:F5	480,1063
C₂×C₆₀⋊C₄	Direct product of C₂ and C₆₀⋊C₄	120		C2xC60:C4	480,1064
(C₂×C₁₂)⋊₆F₅	4^th semidirect product of C₂×C₁₂ and F₅ acting via F₅/D₅=C₂	120	4	(C2xC12):6F5	480,1065
Q₈×C₃⋊F₅	Direct product of Q₈ and C₃⋊F₅	120	8	Q8xC3:F5	480,1069
C₂×D₁₀.D₆	Direct product of C₂ and D₁₀.D₆	120		C2xD10.D6	480,1072
S₃×C₂×C₄×D₅	Direct product of C₂×C₄, S₃ and D₅	120		S3xC2xC4xD5	480,1086
C₂×D₅×D₁₂	Direct product of C₂, D₅ and D₁₂	120		C2xD5xD12	480,1087
C₂×S₃×D₂₀	Direct product of C₂, S₃ and D₂₀	120		C2xS3xD20	480,1088
C₂×C₂₀⋊D₆	Direct product of C₂ and C₂₀⋊D₆	120		C2xC20:D6	480,1089
D₅×C₄○D₁₂	Direct product of D₅ and C₄○D₁₂	120	4	D5xC4oD12	480,1090
S₃×C₄○D₂₀	Direct product of S₃ and C₄○D₂₀	120	4	S3xC4oD20	480,1091
D₂₀⋊₂₄D₆	7^th semidirect product of D₂₀ and D₆ acting via D₆/C₆=C₂	120	4	D20:24D6	480,1092
D₂₀⋊₂₅D₆	8^th semidirect product of D₂₀ and D₆ acting via D₆/C₆=C₂	120	4	D20:25D6	480,1093
D₂₀⋊₂₆D₆	9^th semidirect product of D₂₀ and D₆ acting via D₆/C₆=C₂	120	4	D20:26D6	480,1094
D₂₀⋊₂₉D₆	3^rd semidirect product of D₂₀ and D₆ acting through Inn(D₂₀)	120	4+	D20:29D6	480,1095
D₅×D₄⋊₂S₃	Direct product of D₅ and D₄⋊₂S₃	120	8-	D5xD4:2S3	480,1098
S₃×D₄⋊₂D₅	Direct product of S₃ and D₄⋊₂D₅	120	8-	S3xD4:2D5	480,1099
D₃₀.C₂³	13^rd non-split extension by D₃₀ of C₂³ acting via C₂³/C₂=C₂²	120	8+	D30.C2^3	480,1100
D₂₀⋊₁₃D₆	7^th semidirect product of D₂₀ and D₆ acting via D₆/S₃=C₂	120	8-	D20:13D6	480,1101
D₂₀⋊₁₄D₆	8^th semidirect product of D₂₀ and D₆ acting via D₆/S₃=C₂	120	8+	D20:14D6	480,1102
D₁₂⋊₁₄D₁₀	8^th semidirect product of D₁₂ and D₁₀ acting via D₁₀/D₅=C₂	120	8+	D12:14D10	480,1103
S₃×Q₈×D₅	Direct product of S₃, Q₈ and D₅	120	8-	S3xQ8xD5	480,1107
D₅×Q₈⋊₃S₃	Direct product of D₅ and Q₈⋊₃S₃	120	8+	D5xQ8:3S3	480,1108
S₃×Q₈⋊₂D₅	Direct product of S₃ and Q₈⋊₂D₅	120	8+	S3xQ8:2D5	480,1109
D₂₀⋊₁₆D₆	10^th semidirect product of D₂₀ and D₆ acting via D₆/S₃=C₂	120	8-	D20:16D6	480,1110
D₂₀⋊₁₇D₆	11^st semidirect product of D₂₀ and D₆ acting via D₆/S₃=C₂	120	8+	D20:17D6	480,1111
C₂×D₅×C₃⋊D₄	Direct product of C₂, D₅ and C₃⋊D₄	120		C2xD5xC3:D4	480,1122
C₂×S₃×C₅⋊D₄	Direct product of C₂, S₃ and C₅⋊D₄	120		C2xS3xC5:D4	480,1123
C₂×D₁₀⋊D₆	Direct product of C₂ and D₁₀⋊D₆	120		C2xD10:D6	480,1124
C₁₅⋊2₊¹⁺⁴	The semidirect product of C₁₅ and 2₊¹⁺⁴ acting via 2₊¹⁺⁴/C₂³=C₂²	120	4	C15:ES+(2,2)	480,1125
A₄×C₂×C₂₀	Direct product of C₂×C₂₀ and A₄	120		A4xC2xC20	480,1126
C₅×Q₈×A₄	Direct product of C₅, Q₈ and A₄	120	6	C5xQ8xA4	480,1129
C₅×Q₈.A₄	Direct product of C₅ and Q₈.A₄	120	4	C5xQ8.A4	480,1131
C₅×Q₈⋊A₄	Direct product of C₅ and Q₈⋊A₄	120	6	C5xQ8:A4	480,1133
C₆×D₄×D₅	Direct product of C₆, D₄ and D₅	120		C6xD4xD5	480,1139
C₃×D₄⋊₆D₁₀	Direct product of C₃ and D₄⋊₆D₁₀	120	4	C3xD4:6D10	480,1141
C₃×D₅×C₄○D₄	Direct product of C₃, D₅ and C₄○D₄	120	4	C3xD5xC4oD4	480,1145
C₃×D₄⋊₈D₁₀	Direct product of C₃ and D₄⋊₈D₁₀	120	4	C3xD4:8D10	480,1146
S₃×D₄×C₁₀	Direct product of C₁₀, S₃ and D₄	120		S3xD4xC10	480,1154
C₅×D₄⋊₆D₆	Direct product of C₅ and D₄⋊₆D₆	120	4	C5xD4:6D6	480,1156
C₅×S₃×C₄○D₄	Direct product of C₅, S₃ and C₄○D₄	120	4	C5xS3xC4oD4	480,1160
C₅×D₄○D₁₂	Direct product of C₅ and D₄○D₁₂	120	4	C5xD4oD12	480,1161
C₂×D₄×D₁₅	Direct product of C₂, D₄ and D₁₅	120		C2xD4xD15	480,1169
D₄⋊₆D₃₀	2^nd semidirect product of D₄ and D₃₀ acting through Inn(D₄)	120	4	D4:6D30	480,1171
C₄○D₄×D₁₅	Direct product of C₄○D₄ and D₁₅	120	4	C4oD4xD15	480,1175
D₄⋊₈D₃₀	4^th semidirect product of D₄ and D₃₀ acting through Inn(D₄)	120	4+	D4:8D30	480,1176
C₁₅×2₊¹⁺⁴	Direct product of C₁₅ and 2₊¹⁺⁴	120	4	C15xES+(2,2)	480,1184
F₅×C₂²×C₆	Direct product of C₂²×C₆ and F₅	120		F5xC2^2xC6	480,1205
C₂³×C₃⋊F₅	Direct product of C₂³ and C₃⋊F₅	120		C2^3xC3:F5	480,1206
S₃×C₂³×D₅	Direct product of C₂³, S₃ and D₅	120		S3xC2^3xD5	480,1207
A₄×C₂²×C₁₀	Direct product of C₂²×C₁₀ and A₄	120		A4xC2^2xC10	480,1208

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