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 Sn for n=(G:H), the index of H in G, called the transitive degree. Conversely, all transitive subgroups of Sn arise in this way. The transitive group database in GAP and Magma contains all transitive subgroups of Sn up to conjugacy for n≤31, numbered nTi (or Tn,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 Sn, 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

dρLabelID
C1Trivial group11+C11,1

On 2 points

Groups of order 2

dρLabelID
C2Cyclic group21+C22,1

On 3 points

Groups of order 3

dρLabelID
C3Cyclic group; = A3 = triangle rotations31C33,1

Groups of order 6

dρLabelID
S3Symmetric group on 3 letters; = D3 = GL2(𝔽2) = triangle symmetries = 1st non-abelian group32+S36,1

On 4 points

Groups of order 4

dρLabelID
C4Cyclic group; = square rotations41C44,1
C22Klein 4-group V4 = elementary abelian group of type [2,2]; = rectangle symmetries4C2^24,2

Groups of order 8

dρLabelID
D4Dihedral group; = He2 = AΣL1(𝔽4) = 2+ 1+2 = square symmetries42+D48,3

Groups of order 12

dρLabelID
A4Alternating group on 4 letters; = PSL2(𝔽3) = L2(3) = tetrahedron rotations43+A412,3

Groups of order 24

dρLabelID
S4Symmetric group on 4 letters; = PGL2(𝔽3) = Aut(Q8) = Hol(C22) = tetrahedron symmetries = cube/octahedron rotations43+S424,12

On 5 points

Groups of order 5

dρLabelID
C5Cyclic group; = pentagon rotations51C55,1

Groups of order 10

dρLabelID
D5Dihedral group; = pentagon symmetries52+D510,1

Groups of order 20

dρLabelID
F5Frobenius group; = C5C4 = AGL1(𝔽5) = Aut(D5) = Hol(C5) = Sz(2)54+F520,3

Groups of order 60

dρLabelID
A5Alternating group on 5 letters; = SL2(𝔽4) = L2(5) = L2(4) = icosahedron/dodecahedron rotations; 1st non-abelian simple53+A560,5

Groups of order 120

dρLabelID
S5Symmetric group on 5 letters; = PGL2(𝔽5) = Aut(A5) = 5-cell symmetries; almost simple54+S5120,34

On 6 points

Groups of order 6

dρLabelID
C6Cyclic group; = hexagon rotations61C66,2

Groups of order 12

dρLabelID
D6Dihedral group; = C2×S3 = hexagon symmetries62+D612,4

Groups of order 18

dρLabelID
C3×S3Direct product of C3 and S3; = U2(𝔽2)62C3xS318,3

Groups of order 24

dρLabelID
C2×A4Direct product of C2 and A4; = AΣL1(𝔽8)63+C2xA424,13

Groups of order 36

dρLabelID
C32⋊C4The semidirect product of C32 and C4 acting faithfully64+C3^2:C436,9
S32Direct product of S3 and S3; = Spin+4(𝔽2) = Hol(S3)64+S3^236,10

Groups of order 48

dρLabelID
C2×S4Direct product of C2 and S4; = O3(𝔽3) = cube/octahedron symmetries63+C2xS448,48

Groups of order 72

dρLabelID
S3≀C2Wreath product of S3 by C2; = SO+4(𝔽2)64+S3wrC272,40

Groups of order 360

dρLabelID
A6Alternating group on 6 letters; = PSL2(𝔽9) = L2(9); 3rd non-abelian simple65+A6360,118

On 7 points

Groups of order 7

dρLabelID
C7Cyclic group71C77,1

Groups of order 14

dρLabelID
D7Dihedral group72+D714,1

Groups of order 21

dρLabelID
C7⋊C3The semidirect product of C7 and C3 acting faithfully73C7:C321,1

Groups of order 42

dρLabelID
F7Frobenius group; = C7C6 = AGL1(𝔽7) = Aut(D7) = Hol(C7)76+F742,1

Groups of order 168

dρLabelID
GL3(𝔽2)General linear group on 𝔽23; = Aut(C23) = L3(2) = L2(7); 2nd non-abelian simple73GL(3,2)168,42

On 8 points

Groups of order 8

dρLabelID
C8Cyclic group81C88,1
C2×C4Abelian group of type [2,4]8C2xC48,2
Q8Quaternion group; = C4.C2 = Dic2 = 2- 1+282-Q88,4
C23Elementary abelian group of type [2,2,2]8C2^38,5

Groups of order 16

dρLabelID
C22⋊C4The semidirect product of C22 and C4 acting via C4/C2=C28C2^2:C416,3
M4(2)Modular maximal-cyclic group; = C83C282M4(2)16,6
D8Dihedral group82+D816,7
SD16Semidihedral group; = Q8C2 = QD1682SD1616,8
C2×D4Direct product of C2 and D48C2xD416,11
C4○D4Pauli group = central product of C4 and D482C4oD416,13

Groups of order 24

dρLabelID
SL2(𝔽3)Special linear group on 𝔽32; = Q8C3 = 2T = <2,3,3> = 1st non-monomial group82-SL(2,3)24,3

Groups of order 32

dρLabelID
C23⋊C4The semidirect product of C23 and C4 acting faithfully84+C2^3:C432,6
C4.D41st non-split extension by C4 of D4 acting via D4/C22=C284+C4.D432,7
C4≀C2Wreath product of C4 by C282C4wrC232,11
C22≀C2Wreath product of C22 by C28C2^2wrC232,27
C8⋊C22The semidirect product of C8 and C22 acting faithfully; = Aut(D8) = Hol(C8)84+C8:C2^232,43
2+ 1+4Extraspecial group; = D4D484+ES+(2,2)32,49

Groups of order 48

dρLabelID
GL2(𝔽3)General linear group on 𝔽32; = Q8S3 = Aut(C32)82GL(2,3)48,29

Groups of order 56

dρLabelID
F8Frobenius group; = C23C7 = AGL1(𝔽8)87+F856,11

Groups of order 64

dρLabelID
C2≀C4Wreath product of C2 by C4; = AΣL1(𝔽16)84+C2wrC464,32
C42⋊C42nd semidirect product of C42 and C4 acting faithfully84+C4^2:C464,34
D44D43rd semidirect product of D4 and D4 acting via D4/C22=C2; = Hol(D4)84+D4:4D464,134
C2≀C22Wreath product of C2 by C22; = Hol(C2×C4)84+C2wrC2^264,138

Groups of order 96

dρLabelID
C24⋊C61st semidirect product of C24 and C6 acting faithfully86+C2^4:C696,70
C23⋊A42nd semidirect product of C23 and A4 acting faithfully84+C2^3:A496,204
C22⋊S4The semidirect product of C22 and S4 acting via S4/C22=S386+C2^2:S496,227

Groups of order 128

dρLabelID
D4≀C2Wreath product of D4 by C284+D4wrC2128,928

Groups of order 168

dρLabelID
AΓL1(𝔽8)Affine semilinear group on 𝔽81; = F8C3 = Aut(F8)87+AGammaL(1,8)168,43

Groups of order 192

dρLabelID
C2≀A4Wreath product of C2 by A484+C2wrA4192,201
C24⋊D61st semidirect product of C24 and D6 acting faithfully; = Aut(C2×Q8)86+C2^4:D6192,955
C23⋊S42nd semidirect product of C23 and S4 acting faithfully; = Aut(C22×C4)84+C2^3:S4192,1493
Q82S42nd semidirect product of Q8 and S4 acting via S4/C22=S3; = Hol(Q8)84+Q8:2S4192,1494

Groups of order 288

dρLabelID
A4≀C2Wreath product of A4 by C286+A4wrC2288,1025

Groups of order 336

dρLabelID
PGL2(𝔽7)Projective linear group on 𝔽72; = GL3(𝔽2)C2 = Aut(GL3(𝔽2)); almost simple86+PGL(2,7)336,208

On 9 points

Groups of order 9

dρLabelID
C9Cyclic group91C99,1
C32Elementary abelian group of type [3,3]9C3^29,2

Groups of order 18

dρLabelID
D9Dihedral group92+D918,1
C3⋊S3The semidirect product of C3 and S3 acting via S3/C3=C29C3:S318,4

Groups of order 27

dρLabelID
He3Heisenberg group; = C32C3 = 3+ 1+293He327,3
3- 1+2Extraspecial group93ES-(3,1)27,4

Groups of order 54

dρLabelID
C32⋊C6The semidirect product of C32 and C6 acting faithfully96+C3^2:C654,5
C9⋊C6The semidirect product of C9 and C6 acting faithfully; = Aut(D9) = Hol(C9)96+C9:C654,6
He3⋊C22nd semidirect product of He3 and C2 acting faithfully; = Aut(3- 1+2)93He3:C254,8

Groups of order 72

dρLabelID
F9Frobenius group; = C32C8 = AGL1(𝔽9)98+F972,39
PSU3(𝔽2)Projective special unitary group on 𝔽23; = C32Q8 = M998+PSU(3,2)72,41

Groups of order 81

dρLabelID
C3≀C3Wreath product of C3 by C3; = AΣL1(𝔽27)93C3wrC381,7

Groups of order 108

dρLabelID
C32⋊D6The semidirect product of C32 and D6 acting faithfully96+C3^2:D6108,17

Groups of order 144

dρLabelID
AΓL1(𝔽9)Affine semilinear group on 𝔽91; = F9C2 = Aut(C32⋊C4)98+AGammaL(1,9)144,182

Groups of order 162

dρLabelID
C3≀S3Wreath product of C3 by S393C3wrS3162,10
C33⋊C61st semidirect product of C33 and C6 acting faithfully96+C3^3:C6162,11
C33⋊S32nd semidirect product of C33 and S3 acting faithfully96+C3^3:S3162,19

Groups of order 216

dρLabelID
ASL2(𝔽3)Hessian group = Affine special linear group on 𝔽32; = PSU3(𝔽2)C398+ASL(2,3)216,153

Groups of order 324

dρLabelID
He3⋊D6The semidirect product of He3 and D6 acting faithfully96+He3:D6324,39
C33⋊A4The semidirect product of C33 and A4 acting faithfully94C3^3:A4324,160

Groups of order 432

dρLabelID
AGL2(𝔽3)Affine linear group on 𝔽32; = PSU3(𝔽2)S3 = Aut(C3⋊S3) = Hol(C32)98+AGL(2,3)432,734

On 10 points

Groups of order 10

dρLabelID
C10Cyclic group101C1010,2

Groups of order 20

dρLabelID
D10Dihedral group; = C2×D5102+D1020,4

Groups of order 40

dρLabelID
C2×F5Direct product of C2 and F5; = Aut(D10) = Hol(C10)104+C2xF540,12

Groups of order 50

dρLabelID
C5×D5Direct product of C5 and D5; = AΣL1(𝔽25)102C5xD550,3

Groups of order 80

dρLabelID
C24⋊C5The semidirect product of C24 and C5 acting faithfully105+C2^4:C580,49

Groups of order 100

dρLabelID
C52⋊C44th semidirect product of C52 and C4 acting faithfully104+C5^2:C4100,12
D52Direct product of D5 and D5104+D5^2100,13

Groups of order 120

dρLabelID
C2×A5Direct product of C2 and A5; = icosahedron/dodecahedron symmetries103+C2xA5120,35

Groups of order 160

dρLabelID
C24⋊D5The semidirect product of C24 and D5 acting faithfully105+C2^4:D5160,234
C2×C24⋊C5Direct product of C2 and C24⋊C5; = AΣL1(𝔽32)105+C2xC2^4:C5160,235

Groups of order 200

dρLabelID
C52⋊C8The semidirect product of C52 and C8 acting faithfully108+C5^2:C8200,40
D5⋊F5The semidirect product of D5 and F5 acting via F5/D5=C2; = Hol(D5)108+D5:F5200,42
D5≀C2Wreath product of D5 by C2104+D5wrC2200,43
C52⋊Q8The semidirect product of C52 and Q8 acting faithfully108+C5^2:Q8200,44

Groups of order 240

dρLabelID
C2×S5Direct product of C2 and S5; = O3(𝔽5)104+C2xS5240,189

Groups of order 320

dρLabelID
C24⋊F5The semidirect product of C24 and F5 acting faithfully105+C2^4:F5320,1635
C2×C24⋊D5Direct product of C2 and C24⋊D5105+C2xC2^4:D5320,1636

Groups of order 400

dρLabelID
C52⋊M4(2)The semidirect product of C52 and M4(2) acting faithfully108+C5^2:M4(2)400,206
D5≀C2⋊C2The semidirect product of D5≀C2 and C2 acting faithfully108+D5wrC2:C2400,207

On 11 points

Groups of order 11

dρLabelID
C11Cyclic group111C1111,1

Groups of order 22

dρLabelID
D11Dihedral group112+D1122,1

Groups of order 55

dρLabelID
C11⋊C5The semidirect product of C11 and C5 acting faithfully115C11:C555,1

Groups of order 110

dρLabelID
F11Frobenius group; = C11C10 = AGL1(𝔽11) = Aut(D11) = Hol(C11)1110+F11110,1

On 12 points

Groups of order 12

dρLabelID
Dic3Dicyclic group; = C3C4122-Dic312,1
C12Cyclic group121C1212,2
C2×C6Abelian group of type [2,6]12C2xC612,5

Groups of order 24

dρLabelID
C4×S3Direct product of C4 and S3122C4xS324,5
D12Dihedral group122+D1224,6
C3⋊D4The semidirect product of C3 and D4 acting via D4/C22=C2122C3:D424,8
C3×D4Direct product of C3 and D4122C3xD424,10
C22×S3Direct product of C22 and S312C2^2xS324,14

Groups of order 36

dρLabelID
C3×Dic3Direct product of C3 and Dic3122C3xDic336,6
C3×A4Direct product of C3 and A4123C3xA436,11
S3×C6Direct product of C6 and S3122S3xC636,12

Groups of order 48

dρLabelID
C42⋊C3The semidirect product of C42 and C3 acting faithfully123C4^2:C348,3
A4⋊C4The semidirect product of A4 and C4 acting via C4/C2=C2; = SL2(ℤ/4ℤ)123A4:C448,30
C4×A4Direct product of C4 and A4123C4xA448,31
S3×D4Direct product of S3 and D4; = Aut(D12) = Hol(C12)124+S3xD448,38
C22×A4Direct product of C22 and A412C2^2xA448,49
C22⋊A4The semidirect product of C22 and A4 acting via A4/C22=C312C2^2:A448,50

Groups of order 72

dρLabelID
C6.D62nd non-split extension by C6 of D6 acting via D6/S3=C2124+C6.D672,21
C3⋊D12The semidirect product of C3 and D12 acting via D12/D6=C2124+C3:D1272,23
C3×C3⋊D4Direct product of C3 and C3⋊D4122C3xC3:D472,30
C3×S4Direct product of C3 and S4123C3xS472,42
C3⋊S4The semidirect product of C3 and S4 acting via S4/A4=C2126+C3:S472,43
S3×A4Direct product of S3 and A4126+S3xA472,44
C2×C32⋊C4Direct product of C2 and C32⋊C4124+C2xC3^2:C472,45
C2×S32Direct product of C2, S3 and S3124+C2xS3^272,46

Groups of order 96

dρLabelID
C23.3A41st non-split extension by C23 of A4 acting via A4/C22=C3126+C2^3.3A496,3
C42⋊S3The semidirect product of C42 and S3 acting faithfully123C4^2:S396,64
C2×C42⋊C3Direct product of C2 and C42⋊C3123C2xC4^2:C396,68
C23.A42nd non-split extension by C23 of A4 acting faithfully126+C2^3.A496,72
C4×S4Direct product of C4 and S4123C4xS496,186
C4⋊S4The semidirect product of C4 and S4 acting via S4/A4=C2126+C4:S496,187
A4⋊D4The semidirect product of A4 and D4 acting via D4/C22=C2; = Aut(C42) = GL2(ℤ/4ℤ)126+A4:D496,195
D4×A4Direct product of D4 and A4126+D4xA496,197
C22×S4Direct product of C22 and S412C2^2xS496,226
C2×C22⋊A4Direct product of C2 and C22⋊A412C2xC2^2:A496,229

Groups of order 108

dρLabelID
C3×C32⋊C4Direct product of C3 and C32⋊C4124C3xC3^2:C4108,36
C33⋊C42nd semidirect product of C33 and C4 acting faithfully124C3^3:C4108,37
C3×S32Direct product of C3, S3 and S3124C3xS3^2108,38
C324D6The semidirect product of C32 and D6 acting via D6/C3=C22124C3^2:4D6108,40

Groups of order 144

dρLabelID
S32⋊C4The semidirect product of S32 and C4 acting via C4/C2=C2124+S3^2:C4144,115
C62⋊C41st semidirect product of C62 and C4 acting faithfully124+C6^2:C4144,136
Dic3⋊D62nd semidirect product of Dic3 and D6 acting via D6/S3=C2; = Hol(Dic3)124+Dic3:D6144,154
S3×S4Direct product of S3 and S4; = Hol(C2×C6)126+S3xS4144,183
A42Direct product of A4 and A4; = PΩ+4(𝔽3)129+A4^2144,184
C2×S3≀C2Direct product of C2 and S3≀C2124+C2xS3wrC2144,186

Groups of order 192

dρLabelID
C23.9S43rd non-split extension by C23 of S4 acting via S4/C22=S3123C2^3.9S4192,182
C4×C42⋊C3Direct product of C4 and C42⋊C3123C4xC4^2:C3192,188
C24⋊C121st semidirect product of C24 and C12 acting via C12/C2=C6126+C2^4:C12192,191
C232D4⋊C3The semidirect product of C232D4 and C3 acting faithfully126+C2^3:2D4:C3192,194
C24.2A42nd non-split extension by C24 of A4 acting faithfully126+C2^4.2A4192,197
C2×C42⋊S3Direct product of C2 and C42⋊S3123C2xC4^2:S3192,944
C42⋊D6The semidirect product of C42 and D6 acting faithfully126+C4^2:D6192,956
C2×C24⋊C6Direct product of C2 and C24⋊C6126+C2xC2^4:C6192,1000
C2×C23.A4Direct product of C2 and C23.A4126+C2xC2^3.A4192,1002
D4×S4Direct product of D4 and S4126+D4xS4192,1472
C244Dic33rd semidirect product of C24 and Dic3 acting via Dic3/C2=S3126+C2^4:4Dic3192,1495
C2×C22⋊S4Direct product of C2 and C22⋊S4126+C2xC2^2:S4192,1538
C22×C22⋊A4Direct product of C22 and C22⋊A412C2^2xC2^2:A4192,1540

Groups of order 216

dρLabelID
S3×C32⋊C4Direct product of S3 and C32⋊C4128+S3xC3^2:C4216,156
C3×S3≀C2Direct product of C3 and S3≀C2124C3xS3wrC2216,157
C33⋊D42nd semidirect product of C33 and D4 acting faithfully124C3^3:D4216,158
C322D12The semidirect product of C32 and D12 acting via D12/C3=D4128+C3^2:2D12216,159
S33Direct product of S3, S3 and S3; = Hol(C3×S3)128+S3^3216,162

Groups of order 240

dρLabelID
A5⋊C4The semidirect product of A5 and C4 acting via C4/C2=C2124A5:C4240,91

Groups of order 288

dρLabelID
D6≀C2Wreath product of D6 by C2124+D6wrC2288,889
PSO4+ (𝔽3)Projective special orthogonal group of + type on 𝔽34; = A4S4 = Hol(A4)129+PSO+(4,3)288,1026

Groups of order 324

dρLabelID
C3×C33⋊C4Direct product of C3 and C33⋊C4; = AΣL1(𝔽81)124C3xC3^3:C4324,162
C3×C324D6Direct product of C3 and C324D6124C3xC3^2:4D6324,167

Groups of order 432

dρLabelID
S3×S3≀C2Direct product of S3 and S3≀C2128+S3xS3wrC2432,741

On 13 points

Groups of order 13

dρLabelID
C13Cyclic group131C1313,1

Groups of order 26

dρLabelID
D13Dihedral group132+D1326,1

Groups of order 39

dρLabelID
C13⋊C3The semidirect product of C13 and C3 acting faithfully133C13:C339,1

Groups of order 52

dρLabelID
C13⋊C4The semidirect product of C13 and C4 acting faithfully134+C13:C452,3

Groups of order 78

dρLabelID
C13⋊C6The semidirect product of C13 and C6 acting faithfully136+C13:C678,1

Groups of order 156

dρLabelID
F13Frobenius group; = C13C12 = AGL1(𝔽13) = Aut(D13) = Hol(C13)1312+F13156,7

On 14 points

Groups of order 14

dρLabelID
C14Cyclic group141C1414,2

Groups of order 28

dρLabelID
D14Dihedral group; = C2×D7142+D1428,3

Groups of order 42

dρLabelID
C2×C7⋊C3Direct product of C2 and C7⋊C3143C2xC7:C342,2

Groups of order 84

dρLabelID
C2×F7Direct product of C2 and F7; = Aut(D14) = Hol(C14)146+C2xF784,7

Groups of order 98

dρLabelID
C7×D7Direct product of C7 and D7; = AΣL1(𝔽49)142C7xD798,3

Groups of order 112

dρLabelID
C2×F8Direct product of C2 and F8147+C2xF8112,41

Groups of order 196

dρLabelID
C72⋊C4The semidirect product of C72 and C4 acting faithfully144+C7^2:C4196,8
D72Direct product of D7 and D7144+D7^2196,9

Groups of order 294

dρLabelID
C72⋊S3The semidirect product of C72 and S3 acting faithfully143C7^2:S3294,7
C74F72nd semidirect product of C7 and F7 acting via F7/D7=C3146C7:4F7294,12

Groups of order 336

dρLabelID
C2×GL3(𝔽2)Direct product of C2 and GL3(𝔽2)143C2xGL(3,2)336,209
C2×AΓL1(𝔽8)Direct product of C2 and AΓL1(𝔽8)147+C2xAGammaL(1,8)336,210

Groups of order 392

dρLabelID
D7≀C2Wreath product of D7 by C2144+D7wrC2392,37

Groups of order 448

dρLabelID
C23⋊F82nd semidirect product of C23 and F8 acting via F8/C23=C7147+C2^3:F8448,1394

On 15 points

Groups of order 15

dρLabelID
C15Cyclic group151C1515,1

Groups of order 30

dρLabelID
C5×S3Direct product of C5 and S3152C5xS330,1
C3×D5Direct product of C3 and D5152C3xD530,2
D15Dihedral group152+D1530,3

Groups of order 60

dρLabelID
C3×F5Direct product of C3 and F5154C3xF560,6
C3⋊F5The semidirect product of C3 and F5 acting via F5/D5=C2154C3:F560,7
S3×D5Direct product of S3 and D5154+S3xD560,8

Groups of order 75

dρLabelID
C52⋊C3The semidirect product of C52 and C3 acting faithfully153C5^2:C375,2

Groups of order 120

dρLabelID
S3×F5Direct product of S3 and F5; = Aut(D15) = Hol(C15)158+S3xF5120,36

Groups of order 150

dρLabelID
C52⋊S3The semidirect product of C52 and S3 acting faithfully153C5^2:S3150,5
C52⋊C6The semidirect product of C52 and C6 acting faithfully156+C5^2:C6150,6

Groups of order 180

dρLabelID
C3×A5Direct product of C3 and A5; = GL2(𝔽4)153C3xA5180,19

Groups of order 300

dρLabelID
C52⋊Dic3The semidirect product of C52 and Dic3 acting faithfully1512+C5^2:Dic3300,23
C52⋊C12The semidirect product of C52 and C12 acting faithfully1512+C5^2:C12300,24
C52⋊D6The semidirect product of C52 and D6 acting faithfully156+C5^2:D6300,25

Groups of order 360

dρLabelID
C3×S5Direct product of C3 and S5154C3xS5360,119
ΓL2(𝔽4)Semilinear group on 𝔽42; = C3S5156GammaL(2,4)360,120
S3×A5Direct product of S3 and A5156+S3xA5360,121

Groups of order 375

dρLabelID
C5×C52⋊C3Direct product of C5 and C52⋊C3; = AΣL1(𝔽125)153C5xC5^2:C3375,6

Groups of order 405

dρLabelID
C34⋊C5The semidirect product of C34 and C5 acting faithfully155C3^4:C5405,15

On 16 points

Groups of order 16

dρLabelID
C16Cyclic group161C1616,1
C42Abelian group of type [4,4]16C4^216,2
C4⋊C4The semidirect product of C4 and C4 acting via C4/C2=C216C4:C416,4
C2×C8Abelian group of type [2,8]16C2xC816,5
Q16Generalised quaternion group; = C8.C2 = Dic4162-Q1616,9
C22×C4Abelian group of type [2,2,4]16C2^2xC416,10
C2×Q8Direct product of C2 and Q816C2xQ816,12
C24Elementary abelian group of type [2,2,2,2]16C2^416,14

Groups of order 32

dρLabelID
C22⋊C8The semidirect product of C22 and C8 acting via C8/C4=C216C2^2:C832,5
C4.10D42nd non-split extension by C4 of D4 acting via D4/C22=C2164-C4.10D432,8
D4⋊C41st semidirect product of D4 and C4 acting via C4/C2=C216D4:C432,9
C8.C41st non-split extension by C8 of C4 acting via C4/C2=C2162C8.C432,15
M5(2)Modular maximal-cyclic group; = C163C2162M5(2)32,17
D16Dihedral group162+D1632,18
SD32Semidihedral group; = C162C2 = QD32162SD3232,19
C2×C22⋊C4Direct product of C2 and C22⋊C416C2xC2^2:C432,22
C42⋊C21st semidirect product of C42 and C2 acting faithfully16C4^2:C232,24
C4×D4Direct product of C4 and D416C4xD432,25
C4⋊D4The semidirect product of C4 and D4 acting via D4/C22=C216C4:D432,28
C22⋊Q8The semidirect product of C22 and Q8 acting via Q8/C4=C216C2^2:Q832,29
C22.D43rd non-split extension by C22 of D4 acting via D4/C22=C216C2^2.D432,30
C4.4D44th non-split extension by C4 of D4 acting via D4/C4=C216C4.4D432,31
C422C22nd semidirect product of C42 and C2 acting faithfully16C4^2:2C232,33
C41D4The semidirect product of C4 and D4 acting via D4/C4=C216C4:1D432,34
C2×M4(2)Direct product of C2 and M4(2)16C2xM4(2)32,37
C8○D4Central product of C8 and D4162C8oD432,38
C2×D8Direct product of C2 and D816C2xD832,39
C2×SD16Direct product of C2 and SD1616C2xSD1632,40
C4○D8Central product of C4 and D8162C4oD832,42
C8.C22The non-split extension by C8 of C22 acting faithfully164-C8.C2^232,44
C22×D4Direct product of C22 and D416C2^2xD432,46
C2×C4○D4Direct product of C2 and C4○D416C2xC4oD432,48
2- 1+4Gamma matrices = Extraspecial group; = D4Q8164-ES-(2,2)32,50

Groups of order 48

dρLabelID
CSU2(𝔽3)Conformal special unitary group on 𝔽32; = Q8.S3 = 2O = <2,3,4>162-CSU(2,3)48,28
C2×SL2(𝔽3)Direct product of C2 and SL2(𝔽3)16C2xSL(2,3)48,32
C4.A4The central extension by C4 of A4162C4.A448,33

Groups of order 64

dρLabelID
C23⋊C8The semidirect product of C23 and C8 acting via C8/C2=C416C2^3:C864,4
C22.SD161st non-split extension by C22 of SD16 acting via SD16/Q8=C216C2^2.SD1664,8
C23.31D42nd non-split extension by C23 of D4 acting via D4/C22=C216C2^3.31D464,9
C4.9C421st central stem extension by C4 of C42164C4.9C4^264,18
C4.10C422nd central stem extension by C4 of C42164C4.10C4^264,19
C426C43rd semidirect product of C42 and C4 acting via C4/C2=C216C4^2:6C464,20
C23.9D42nd non-split extension by C23 of D4 acting via D4/C2=C2216C2^3.9D464,23
M4(2)⋊4C44th semidirect product of M4(2) and C4 acting via C4/C2=C2164M4(2):4C464,25
C16⋊C42nd semidirect product of C16 and C4 acting faithfully164C16:C464,28
C23.C8The non-split extension by C23 of C8 acting via C8/C2=C4164C2^3.C864,30
C23.D42nd non-split extension by C23 of D4 acting faithfully164C2^3.D464,33
C423C43rd semidirect product of C42 and C4 acting faithfully164C4^2:3C464,35
C42.C42nd non-split extension by C42 of C4 acting faithfully164C4^2.C464,36
C42.3C43rd non-split extension by C42 of C4 acting faithfully164-C4^2.3C464,37
D82C42nd semidirect product of D8 and C4 acting via C4/C2=C2164D8:2C464,41
M5(2)⋊C26th semidirect product of M5(2) and C2 acting faithfully164+M5(2):C264,42
C8.C81st non-split extension by C8 of C8 acting via C8/C4=C2162C8.C864,45
C8.Q8The non-split extension by C8 of Q8 acting via Q8/C2=C22164C8.Q864,46
C243C41st semidirect product of C24 and C4 acting via C4/C2=C216C2^4:3C464,60
C24.4C42nd non-split extension by C24 of C4 acting via C4/C2=C216C2^4.4C464,88
C2×C23⋊C4Direct product of C2 and C23⋊C416C2xC2^3:C464,90
C23.C232nd non-split extension by C23 of C23 acting via C23/C2=C22164C2^3.C2^364,91
C2×C4.D4Direct product of C2 and C4.D416C2xC4.D464,92
M4(2).8C223rd non-split extension by M4(2) of C22 acting via C22/C2=C2164M4(2).8C2^264,94
C23.37D48th non-split extension by C23 of D4 acting via D4/C22=C216C2^3.37D464,99
C2×C4≀C2Direct product of C2 and C4≀C216C2xC4wrC264,101
C42⋊C221st semidirect product of C42 and C22 acting faithfully164C4^2:C2^264,102
M4(2).C41st non-split extension by M4(2) of C4 acting via C4/C2=C2164M4(2).C464,111
C8○D8Central product of C8 and D8162C8oD864,124
C8.26D413rd non-split extension by C8 of D4 acting via D4/C22=C2164C8.26D464,125
C22⋊D8The semidirect product of C22 and D8 acting via D8/D4=C216C2^2:D864,128
C22⋊SD16The semidirect product of C22 and SD16 acting via SD16/D4=C216C2^2:SD1664,131
D4.8D43rd non-split extension by D4 of D4 acting via D4/C22=C2164D4.8D464,135
D4.9D44th non-split extension by D4 of D4 acting via D4/C22=C2164D4.9D464,136
D4.10D45th non-split extension by D4 of D4 acting via D4/C22=C2164-D4.10D464,137
C23.7D47th non-split extension by C23 of D4 acting faithfully164C2^3.7D464,139
D4.3D43rd non-split extension by D4 of D4 acting via D4/C4=C2164D4.3D464,152
D4.4D44th non-split extension by D4 of D4 acting via D4/C4=C2164+D4.4D464,153
C16⋊C22The semidirect product of C16 and C22 acting faithfully164+C16:C2^264,190
C22.11C247th central extension by C22 of C2416C2^2.11C2^464,199
C2×C22≀C2Direct product of C2 and C22≀C216C2xC2^2wrC264,202
C22.19C245th central stem extension by C22 of C2416C2^2.19C2^464,206
C233D42nd semidirect product of C23 and D4 acting via D4/C2=C2216C2^3:3D464,215
C22.29C2415th central stem extension by C22 of C2416C2^2.29C2^464,216
C22.32C2418th central stem extension by C22 of C2416C2^2.32C2^464,219
C232Q82nd semidirect product of C23 and Q8 acting via Q8/C2=C2216C2^3:2Q864,224
D42Direct product of D4 and D416D4^264,226
D45D41st semidirect product of D4 and D4 acting through Inn(D4)16D4:5D464,227
C22.45C2431st central stem extension by C22 of C2416C2^2.45C2^464,232
C22.54C2440th central stem extension by C22 of C2416C2^2.54C2^464,241
C24⋊C224th semidirect product of C24 and C22 acting faithfully16C2^4:C2^264,242
Q8○M4(2)Central product of Q8 and M4(2)164Q8oM4(2)64,249
C2×C8⋊C22Direct product of C2 and C8⋊C2216C2xC8:C2^264,254
D8⋊C224th semidirect product of D8 and C22 acting via C22/C2=C2164D8:C2^264,256
D4○D8Central product of D4 and D8164+D4oD864,257
D4○SD16Central product of D4 and SD16164D4oSD1664,258
C2×2+ 1+4Direct product of C2 and 2+ 1+416C2xES+(2,2)64,264
C2.C256th central stem extension by C2 of C25164C2.C2^564,266

Groups of order 96

dρLabelID
C42⋊C61st semidirect product of C42 and C6 acting faithfully166C4^2:C696,71
C2×GL2(𝔽3)Direct product of C2 and GL2(𝔽3)16C2xGL(2,3)96,189
Q8.D62nd non-split extension by Q8 of D6 acting via D6/C2=S3164-Q8.D696,190
C4.6S43rd central extension by C4 of S4162C4.6S496,192
C4.3S43rd non-split extension by C4 of S4 acting via S4/A4=C2164+C4.3S496,193
D4.A4The non-split extension by D4 of A4 acting through Inn(D4)164-D4.A496,202

Groups of order 128

dρLabelID
C24.4Q83rd non-split extension by C24 of Q8 acting via Q8/C2=C2216C2^4.4Q8128,36
C24⋊C81st semidirect product of C24 and C8 acting via C8/C2=C416C2^4:C8128,48
C24.C82nd non-split extension by C24 of C8 acting via C8/C2=C4164C2^4.C8128,52
C42.C81st non-split extension by C42 of C8 acting via C8/C2=C4164C4^2.C8128,59
C8≀C2Wreath product of C8 by C2162C8wrC2128,67
C8.32D89th non-split extension by C8 of D8 acting via D8/D4=C2164C8.32D8128,68
C23.D81st non-split extension by C23 of D8 acting via D8/C2=D4168+C2^3.D8128,71
C23.SD161st non-split extension by C23 of SD16 acting via SD16/C2=D4168+C2^3.SD16128,73
C24.D41st non-split extension by C24 of D4 acting faithfully16C2^4.D4128,75
C4.C4≀C29th non-split extension by C4 of C4≀C2 acting via C4≀C2/C42=C2168+C4.C4wrC2128,87
C8.24D81st non-split extension by C8 of D8 acting via D8/D4=C2164+C8.24D8128,89
C8.29D86th non-split extension by C8 of D8 acting via D8/D4=C2164C8.29D8128,91
C42.D41st non-split extension by C42 of D4 acting faithfully164+C4^2.D4128,134
C42.2D42nd non-split extension by C42 of D4 acting faithfully164C4^2.2D4128,135
C42.3D43rd non-split extension by C42 of D4 acting faithfully164C4^2.3D4128,136
C42.4D44th non-split extension by C42 of D4 acting faithfully164-C4^2.4D4128,137
C8⋊C4⋊C41st semidirect product of C8⋊C4 and C4 acting faithfully168+C8:C4:C4128,138
C41D4⋊C42nd semidirect product of C41D4 and C4 acting faithfully164+C4:1D4:C4128,140
(C4×C8)⋊6C46th semidirect product of C4×C8 and C4 acting faithfully164(C4xC8):6C4128,141
(C4×C8).C46th non-split extension by C4×C8 of C4 acting faithfully164(C4xC8).C4128,142
C8⋊C45C45th semidirect product of C8⋊C4 and C4 acting faithfully168+C8:C4:5C4128,144
C25.3C43rd non-split extension by C25 of C4 acting faithfully16C2^5.3C4128,194
C24.150D45th non-split extension by C24 of D4 acting via D4/C22=C216C2^4.150D4128,236
C23⋊D8The semidirect product of C23 and D8 acting via D8/C2=D416C2^3:D8128,327
C23⋊SD161st semidirect product of C23 and SD16 acting via SD16/C2=D416C2^3:SD16128,328
C24.9D49th non-split extension by C24 of D4 acting faithfully16C2^4.9D4128,332
C25⋊C41st semidirect product of C25 and C4 acting faithfully16C2^5:C4128,513
C25.C44th non-split extension by C25 of C4 acting faithfully16C2^5.C4128,515
C4○D4.D43rd non-split extension by C4○D4 of D4 acting via D4/C2=C22168+C4oD4.D4128,527
C24.68D423rd non-split extension by C24 of D4 acting via D4/C2=C2216C2^4.68D4128,551
(C2×C42)⋊C48th semidirect product of C2×C42 and C4 acting faithfully164(C2xC4^2):C4128,559
C24.C231st non-split extension by C24 of C23 acting faithfully168+C2^4.C2^3128,560
C24.6(C2×C4)6th non-split extension by C24 of C2×C4 acting faithfully168+C2^4.6(C2xC4)128,561
C8⋊C417C412nd semidirect product of C8⋊C4 and C4 acting via C4/C2=C2164C8:C4:17C4128,573
M4(2).41D45th non-split extension by M4(2) of D4 acting via D4/C22=C2164M4(2).41D4128,593
M4(2)⋊19D46th semidirect product of M4(2) and D4 acting via D4/C22=C2164M4(2):19D4128,616
C24.24D424th non-split extension by C24 of D4 acting faithfully16C2^4.24D4128,619
C25.C229th non-split extension by C25 of C22 acting faithfully16C2^5.C2^2128,621
(C2×C8)⋊D43rd semidirect product of C2×C8 and D4 acting faithfully164(C2xC8):D4128,623
(C2×C4)≀C2Wreath product of C2×C4 by C216(C2xC4)wrC2128,628
C24.78D433rd non-split extension by C24 of D4 acting via D4/C2=C2216C2^4.78D4128,630
M4(2).47D411st non-split extension by M4(2) of D4 acting via D4/C22=C2168+M4(2).47D4128,635
C42.5D45th non-split extension by C42 of D4 acting faithfully168+C4^2.5D4128,636
C42.426D459th non-split extension by C42 of D4 acting via D4/C22=C2164C4^2.426D4128,638
(C2×C8)⋊4D44th semidirect product of C2×C8 and D4 acting faithfully168+(C2xC8):4D4128,642
C42⋊D41st semidirect product of C42 and D4 acting faithfully168+C4^2:D4128,643
C24.28D428th non-split extension by C24 of D4 acting faithfully168+C2^4.28D4128,645
M4(2)⋊21D48th semidirect product of M4(2) and D4 acting via D4/C22=C2168+M4(2):21D4128,646
C42.427D460th non-split extension by C42 of D4 acting via D4/C22=C2164C4^2.427D4128,664
C429D43rd semidirect product of C42 and D4 acting via D4/C2=C2216C4^2:9D4128,734
M4(2)⋊5D45th semidirect product of M4(2) and D4 acting via D4/C2=C22168+M4(2):5D4128,740
C422D42nd semidirect product of C42 and D4 acting faithfully164C4^2:2D4128,742
C24⋊D41st semidirect product of C24 and D4 acting faithfully16C2^4:D4128,753
C242Q81st semidirect product of C24 and Q8 acting via Q8/C2=C2216C2^4:2Q8128,761
C42.8D48th non-split extension by C42 of D4 acting faithfully164C4^2.8D4128,763
C24⋊Q8The semidirect product of C24 and Q8 acting faithfully168+C2^4:Q8128,764
M4(2).8D48th non-split extension by M4(2) of D4 acting via D4/C2=C22168+M4(2).8D4128,780
C42.131D4113rd non-split extension by C42 of D4 acting via D4/C2=C22164C4^2.131D4128,782
C24.Q8The non-split extension by C24 of Q8 acting faithfully168+C2^4.Q8128,801
(C2×C8).D45th non-split extension by C2×C8 of D4 acting faithfully168+(C2xC8).D4128,813
C24.11Q810th non-split extension by C24 of Q8 acting via Q8/C2=C22164C2^4.11Q8128,823
C42.32Q832nd non-split extension by C42 of Q8 acting via Q8/C2=C22164C4^2.32Q8128,834
C24.4C234th non-split extension by C24 of C23 acting faithfully168+C2^4.4C2^3128,836
C2×C2≀C4Direct product of C2 and C2≀C416C2xC2wrC4128,850
C4○C2≀C4Central product of C4 and C2≀C4164C4oC2wrC4128,852
C24.36D436th non-split extension by C24 of D4 acting faithfully168+C2^4.36D4128,853
C2≀C4⋊C26th semidirect product of C2≀C4 and C2 acting faithfully168+C2wrC4:C2128,854
C2×C42⋊C4Direct product of C2 and C42⋊C416C2xC4^2:C4128,856
C4⋊Q829C424th semidirect product of C4⋊Q8 and C4 acting via C4/C2=C2164C4:Q8:29C4128,858
C24.39D439th non-split extension by C24 of D4 acting faithfully168+C2^4.39D4128,859
C4.4D4⋊C46th semidirect product of C4.4D4 and C4 acting faithfully168+C4.4D4:C4128,860
(C2×D4).135D497th non-split extension by C2×D4 of D4 acting via D4/C2=C22164(C2xD4).135D4128,864
C41D4.C45th non-split extension by C41D4 of C4 acting faithfully168+C4:1D4.C4128,866
C8.5M4(2)5th non-split extension by C8 of M4(2) acting via M4(2)/C4=C22164C8.5M4(2)128,897
D16⋊C4The semidirect product of D16 and C4 acting faithfully; = Aut(D16) = Hol(C16)168+D16:C4128,913
D8⋊D4The semidirect product of D8 and D4 acting via D4/C2=C22168+D8:D4128,922
C424D44th semidirect product of C42 and D4 acting faithfully164C4^2:4D4128,929
C42.13D413rd non-split extension by C42 of D4 acting faithfully164C4^2.13D4128,930
C425D45th semidirect product of C42 and D4 acting faithfully168+C4^2:5D4128,931
C426D46th semidirect product of C42 and D4 acting faithfully168+C4^2:6D4128,932
C42.15D415th non-split extension by C42 of D4 acting faithfully168+C4^2.15D4128,934
C42.17D417th non-split extension by C42 of D4 acting faithfully164C4^2.17D4128,936
Q8≀C2Wreath product of Q8 by C2164-Q8wrC2128,937
D83D42nd semidirect product of D8 and D4 acting via D4/C4=C2164+D8:3D4128,945
D83Q83rd semidirect product of D8 and Q8 acting via Q8/C4=C2164D8:3Q8128,962
M5(2).C228th non-split extension by M5(2) of C22 acting faithfully168+M5(2).C2^2128,970
C23≀C2Wreath product of C23 by C216C2^3wrC2128,1578
C23.C243rd non-split extension by C23 of C24 acting via C24/C22=C22168+C2^3.C2^4128,1615
M4(2).24C236th non-split extension by M4(2) of C23 acting via C23/C22=C2168+M4(2).24C2^3128,1620
2- 1+45C44th semidirect product of 2- 1+4 and C4 acting via C4/C2=C2164ES-(2,2):5C4128,1633
M4(2).51D41st non-split extension by M4(2) of D4 acting through Inn(M4(2))164M4(2).51D4128,1688
C24.177D432nd non-split extension by C24 of D4 acting via D4/C22=C216C2^4.177D4128,1735
C2×D44D4Direct product of C2 and D44D416C2xD4:4D4128,1746
C42.313C23174th non-split extension by C42 of C23 acting via C23/C2=C22164C4^2.313C2^3128,1750
M4(2)⋊C233rd semidirect product of M4(2) and C23 acting via C23/C2=C22168+M4(2):C2^3128,1751
C42.12C2312nd non-split extension by C42 of C23 acting faithfully168+C4^2.12C2^3128,1753
C2×C2≀C22Direct product of C2 and C2≀C2216C2xC2wrC2^2128,1755
C23.7C247th non-split extension by C23 of C24 acting via C24/C22=C22164C2^3.7C2^4128,1757
C24⋊C232nd semidirect product of C24 and C23 acting faithfully168+C2^4:C2^3128,1758
C23.9C249th non-split extension by C23 of C24 acting via C24/C22=C22168+C2^3.9C2^4128,1759
M4(2).37D41st non-split extension by M4(2) of D4 acting via D4/C22=C2168+M4(2).37D4128,1800
D811D45th semidirect product of D8 and D4 acting via D4/C22=C2168+D8:11D4128,2020
D86D45th semidirect product of D8 and D4 acting via D4/C4=C2164D8:6D4128,2023
D8○D8Central product of D8 and D8164+D8oD8128,2024
C22.73C2554th central stem extension by C22 of C2516C2^2.73C2^5128,2216
C22.79C2560th central stem extension by C22 of C2516C2^2.79C2^5128,2222
C42⋊C234th semidirect product of C42 and C23 acting faithfully16C4^2:C2^3128,2264
D8⋊C236th semidirect product of D8 and C23 acting via C23/C22=C2168+D8:C2^3128,2317
2+ 1+6Extraspecial group; = D42+ 1+4168+ES+(2,3)128,2326

Groups of order 192

dρLabelID
C23.SL2(𝔽3)1st non-split extension by C23 of SL2(𝔽3) acting via SL2(𝔽3)/C2=A4164C2^3.SL(2,3)192,4
C24⋊Dic3The semidirect product of C24 and Dic3 acting faithfully1612+C2^4:Dic3192,184
C42⋊Dic3The semidirect product of C42 and Dic3 acting faithfully1612+C4^2:Dic3192,185
2+ 1+4.C61st non-split extension by 2+ 1+4 of C6 acting faithfully164ES+(2,2).C6192,202
C24.6A46th non-split extension by C24 of A4 acting faithfully1612+C2^4.6A4192,1008
C24⋊A43rd semidirect product of C24 and A4 acting faithfully1612+C2^4:A4192,1009
C24.7A47th non-split extension by C24 of A4 acting faithfully16C2^4.7A4192,1021
C42⋊A4The semidirect product of C42 and A4 acting faithfully1612+C4^2:A4192,1023
C245A45th semidirect product of C24 and A4 acting faithfully16C2^4:5A4192,1024
D4.4S41st non-split extension by D4 of S4 acting through Inn(D4)164D4.4S4192,1485
C23.S44th non-split extension by C23 of S4 acting faithfully164C2^3.S4192,1491
Q8.S42nd non-split extension by Q8 of S4 acting via S4/C22=S3164Q8.S4192,1492
C2×C23⋊A4Direct product of C2 and C23⋊A416C2xC2^3:A4192,1508
2+ 1+4.3C6The non-split extension by 2+ 1+4 of C6 acting via C6/C2=C3164ES+(2,2).3C6192,1509

Groups of order 240

dρLabelID
F16Frobenius group; = C24C15 = AGL1(𝔽16)1615+F16240,191

Groups of order 288

dρLabelID
A4×S4Direct product of A4 and S4169+A4xS4288,1024

Groups of order 336

dρLabelID
SL2(𝔽7)Special linear group on 𝔽72; = C2.GL3(𝔽2)164SL(2,7)336,114

Groups of order 480

dρLabelID
F16⋊C2The semidirect product of F16 and C2 acting faithfully1615+F16:C2480,1188

On 17 points

Groups of order 17

dρLabelID
C17Cyclic group171C1717,1

Groups of order 34

dρLabelID
D17Dihedral group172+D1734,1

Groups of order 68

dρLabelID
C17⋊C4The semidirect product of C17 and C4 acting faithfully174+C17:C468,3

Groups of order 136

dρLabelID
C17⋊C8The semidirect product of C17 and C8 acting faithfully178+C17:C8136,12

Groups of order 272

dρLabelID
F17Frobenius group; = C17C16 = AGL1(𝔽17) = Aut(D17) = Hol(C17)1716+F17272,50

On 18 points

Groups of order 18

dρLabelID
C18Cyclic group181C1818,2
C3×C6Abelian group of type [3,6]18C3xC618,5

Groups of order 36

dρLabelID
C3.A4The central extension by C3 of A4183C3.A436,3
D18Dihedral group; = C2×D9182+D1836,4
C2×C3⋊S3Direct product of C2 and C3⋊S318C2xC3:S336,13

Groups of order 54

dρLabelID
C3×D9Direct product of C3 and D9182C3xD954,3
S3×C9Direct product of C9 and S3182S3xC954,4
C2×He3Direct product of C2 and He3183C2xHe354,10
C2×3- 1+2Direct product of C2 and 3- 1+2183C2xES-(3,1)54,11
S3×C32Direct product of C32 and S318S3xC3^254,12
C3×C3⋊S3Direct product of C3 and C3⋊S318C3xC3:S354,13

Groups of order 72

dρLabelID
C3.S4The non-split extension by C3 of S4 acting via S4/A4=C2186+C3.S472,15
C2×C3.A4Direct product of C2 and C3.A4183C2xC3.A472,16
C6×A4Direct product of C6 and A4183C6xA472,47

Groups of order 108

dρLabelID
He3⋊C4The semidirect product of He3 and C4 acting faithfully183He3:C4108,15
S3×D9Direct product of S3 and D9184+S3xD9108,16
C32.A4The non-split extension by C32 of A4 acting via A4/C22=C3183C3^2.A4108,21
C32⋊A4The semidirect product of C32 and A4 acting via A4/C22=C3183C3^2:A4108,22
C2×C32⋊C6Direct product of C2 and C32⋊C6186+C2xC3^2:C6108,25
C2×C9⋊C6Direct product of C2 and C9⋊C6; = Aut(D18) = Hol(C18)186+C2xC9:C6108,26
C2×He3⋊C2Direct product of C2 and He3⋊C2183C2xHe3:C2108,28
S3×C3⋊S3Direct product of S3 and C3⋊S318S3xC3:S3108,39

Groups of order 144

dρLabelID
C2×C3.S4Direct product of C2 and C3.S4186+C2xC3.S4144,109
C2×F9Direct product of C2 and F9188+C2xF9144,185
C2×PSU3(𝔽2)Direct product of C2 and PSU3(𝔽2)188+C2xPSU(3,2)144,187
C6×S4Direct product of C6 and S4183C6xS4144,188
C2×C3⋊S4Direct product of C2 and C3⋊S4186+C2xC3:S4144,189
C2×S3×A4Direct product of C2, S3 and A4186+C2xS3xA4144,190

Groups of order 162

dρLabelID
C9×D9Direct product of C9 and D9182C9xD9162,3
C32⋊C18The semidirect product of C32 and C18 acting via C18/C3=C6186C3^2:C18162,4
C9⋊C18The semidirect product of C9 and C18 acting via C18/C3=C6186C9:C18162,6
C322D92nd semidirect product of C32 and D9 acting via D9/C3=S3186C3^2:2D9162,17
C2×C3≀C3Direct product of C2 and C3≀C3183C2xC3wrC3162,28
C3×C32⋊C6Direct product of C3 and C32⋊C6186C3xC3^2:C6162,34
S3×He3Direct product of S3 and He3186S3xHe3162,35
C3×C9⋊C6Direct product of C3 and C9⋊C6186C3xC9:C6162,36
S3×3- 1+2Direct product of S3 and 3- 1+2186S3xES-(3,1)162,37
He35S32nd semidirect product of He3 and S3 acting via S3/C3=C2186He3:5S3162,46
C32×C3⋊S3Direct product of C32 and C3⋊S318C3^2xC3:S3162,52

Groups of order 216

dρLabelID
He3⋊D4The semidirect product of He3 and D4 acting faithfully186+He3:D4216,87
C32.S4The non-split extension by C32 of S4 acting via S4/C22=S3186+C3^2.S4216,90
C62⋊S34th semidirect product of C62 and S3 acting faithfully186+C6^2:S3216,92
C32⋊S42nd semidirect product of C32 and S4 acting via S4/C22=S3183C3^2:S4216,95
C62⋊C63rd semidirect product of C62 and C6 acting faithfully186+C6^2:C6216,99
C2×C32⋊D6Direct product of C2 and C32⋊D6186+C2xC3^2:D6216,102
C2×C32.A4Direct product of C2 and C32.A4183C2xC3^2.A4216,106
C2×C32⋊A4Direct product of C2 and C32⋊A4183C2xC3^2:A4216,107

Groups of order 288

dρLabelID
C2×AΓL1(𝔽9)Direct product of C2 and AΓL1(𝔽9)188+C2xAGammaL(1,9)288,1027
C2×S3×S4Direct product of C2, S3 and S4; = Aut(S3×SL2(𝔽3))186+C2xS3xS4288,1028
C2×A42Direct product of C2, A4 and A4189+C2xA4^2288,1029

Groups of order 324

dρLabelID
C92⋊C4The semidirect product of C92 and C4 acting faithfully184+C9^2:C4324,35
D92Direct product of D9 and D9184+D9^2324,36
C32⋊D18The semidirect product of C32 and D18 acting via D18/C3=D61812+C3^2:D18324,37
C332A41st semidirect product of C33 and A4 acting via A4/C22=C3183C3^3:2A4324,60
C2×C3≀S3Direct product of C2 and C3≀S3183C2xC3wrS3324,68
C2×C33⋊C6Direct product of C2 and C33⋊C6186+C2xC3^3:C6324,69
C2×C33⋊S3Direct product of C2 and C33⋊S3186+C2xC3^3:S3324,77
He34Dic3The semidirect product of He3 and Dic3 acting via Dic3/C3=C4186He3:4Dic3324,113
S3×C32⋊C6Direct product of S3 and C32⋊C61812+S3xC3^2:C6324,116
C3×C32⋊D6Direct product of C3 and C32⋊D6186C3xC3^2:D6324,117
S3×C9⋊C6Direct product of S3 and C9⋊C61812+S3xC9:C6324,118
He35D61st semidirect product of He3 and D6 acting via D6/C3=C221812+He3:5D6324,121
S3×He3⋊C2Direct product of S3 and He3⋊C2186S3xHe3:C2324,122
C344C44th semidirect product of C34 and C4 acting faithfully18C3^4:4C4324,164
C3⋊S32Direct product of C3⋊S3 and C3⋊S318C3:S3^2324,169

Groups of order 432

dρLabelID
C625D65th semidirect product of C62 and D6 acting faithfully186+C6^2:5D6432,523
C2×C32.S4Direct product of C2 and C32.S4186+C2xC3^2.S4432,533
C2×C62⋊S3Direct product of C2 and C62⋊S3186+C2xC6^2:S3432,535
C2×C32⋊S4Direct product of C2 and C32⋊S4183C2xC3^2:S4432,538
C2×C62⋊C6Direct product of C2 and C62⋊C6186+C2xC6^2:C6432,542
C2×ASL2(𝔽3)Direct product of C2 and ASL2(𝔽3)188+C2xASL(2,3)432,735

Groups of order 486

dρLabelID
C32⋊C9.S31st non-split extension by C32⋊C9 of S3 acting faithfully186C3^2:C9.S3486,5
C32⋊C9⋊C61st semidirect product of C32⋊C9 and C6 acting faithfully186C3^2:C9:C6486,6
C32⋊C9⋊S31st semidirect product of C32⋊C9 and S3 acting faithfully186C3^2:C9:S3486,7
C331C181st semidirect product of C33 and C18 acting via C18/C3=C6186C3^3:1C18486,18
C331D91st semidirect product of C33 and D9 acting via D9/C3=S3186C3^3:1D9486,19
C34⋊C61st semidirect product of C34 and C6 acting faithfully186C3^4:C6486,102
C34.C64th non-split extension by C34 of C6 acting faithfully186C3^4.C6486,104
C928C68th semidirect product of C92 and C6 acting faithfully186C9^2:8C6486,110
C3×C33⋊C6Direct product of C3 and C33⋊C6186C3xC3^3:C6486,116
S3×C3≀C3Direct product of S3 and C3≀C3186S3xC3wrC3486,117
C343S33rd semidirect product of C34 and S3 acting faithfully186C3^4:3S3486,145
C34.7S37th non-split extension by C34 of S3 acting faithfully186C3^4.7S3486,147
C926S36th semidirect product of C92 and S3 acting faithfully186C9^2:6S3486,153
C3×C33⋊S3Direct product of C3 and C33⋊S3186C3xC3^3:S3486,165
C345S35th semidirect product of C34 and S3 acting faithfully186C3^4:5S3486,166

On 19 points

Groups of order 19

dρLabelID
C19Cyclic group191C1919,1

Groups of order 38

dρLabelID
D19Dihedral group192+D1938,1

Groups of order 57

dρLabelID
C19⋊C3The semidirect product of C19 and C3 acting faithfully193C19:C357,1

Groups of order 114

dρLabelID
C19⋊C6The semidirect product of C19 and C6 acting faithfully196+C19:C6114,1

Groups of order 171

dρLabelID
C19⋊C9The semidirect product of C19 and C9 acting faithfully199C19:C9171,3

Groups of order 342

dρLabelID
F19Frobenius group; = C19C18 = AGL1(𝔽19) = Aut(D19) = Hol(C19)1918+F19342,7

On 20 points

Groups of order 20

dρLabelID
Dic5Dicyclic group; = C52C4202-Dic520,1
C20Cyclic group201C2020,2
C2×C10Abelian group of type [2,10]20C2xC1020,5

Groups of order 40

dρLabelID
C4×D5Direct product of C4 and D5202C4xD540,5
D20Dihedral group202+D2040,6
C5⋊D4The semidirect product of C5 and D4 acting via D4/C22=C2202C5:D440,8
C5×D4Direct product of C5 and D4202C5xD440,10
C22×D5Direct product of C22 and D520C2^2xD540,13

Groups of order 60

dρLabelID
C5×A4Direct product of C5 and A4203C5xA460,9

Groups of order 80

dρLabelID
C4×F5Direct product of C4 and F5204C4xF580,30
C4⋊F5The semidirect product of C4 and F5 acting via F5/D5=C2204C4:F580,31
C22⋊F5The semidirect product of C22 and F5 acting via F5/D5=C2204+C2^2:F580,34
D4×D5Direct product of D4 and D5204+D4xD580,39
C22×F5Direct product of C22 and F520C2^2xF580,50

Groups of order 100

dρLabelID
C5×Dic5Direct product of C5 and Dic5202C5xDic5100,6
C5×F5Direct product of C5 and F5204C5xF5100,9
D5.D5The non-split extension by D5 of D5 acting via D5/C5=C2204D5.D5100,10
D5×C10Direct product of C10 and D5202D5xC10100,14

Groups of order 120

dρLabelID
C5×S4Direct product of C5 and S4203C5xS4120,37
C5⋊S4The semidirect product of C5 and S4 acting via S4/A4=C2206+C5:S4120,38
D5×A4Direct product of D5 and A4206+D5xA4120,39

Groups of order 160

dρLabelID
D4×F5Direct product of D4 and F5; = Aut(D20) = Hol(C20)208+D4xF5160,207

Groups of order 200

dρLabelID
Dic52D5The semidirect product of Dic5 and D5 acting through Inn(Dic5)204+Dic5:2D5200,23
C5⋊D20The semidirect product of C5 and D20 acting via D20/D10=C2204+C5:D20200,25
C5×C5⋊D4Direct product of C5 and C5⋊D4202C5xC5:D4200,31
D5×F5Direct product of D5 and F5208+D5xF5200,41
C2×C52⋊C4Direct product of C2 and C52⋊C4204+C2xC5^2:C4200,48
C2×D52Direct product of C2, D5 and D5204+C2xD5^2200,49

Groups of order 240

dρLabelID
C4×A5Direct product of C4 and A5203C4xA5240,92
C22×A5Direct product of C22 and A520C2^2xA5240,190
A4⋊F5The semidirect product of A4 and F5 acting via F5/D5=C22012+A4:F5240,192
A4×F5Direct product of A4 and F52012+A4xF5240,193
D5×S4Direct product of D5 and S4206+D5xS4240,194

Groups of order 320

dρLabelID
C25.D5The non-split extension by C25 of D5 acting faithfully205C2^5.D5320,1583
C4×C24⋊C5Direct product of C4 and C24⋊C5205C4xC2^4:C5320,1584
C22×C24⋊C5Direct product of C22 and C24⋊C520C2^2xC2^4:C5320,1637

Groups of order 400

dρLabelID
C523C422nd semidirect product of C52 and C42 acting via C42/C2=C2×C4208+C5^2:3C4^2400,124
D10⋊F52nd semidirect product of D10 and F5 acting via F5/D5=C2208+D10:F5400,125
Dic5⋊F53rd semidirect product of Dic5 and F5 acting via F5/D5=C2208+Dic5:F5400,126
D52⋊C41st semidirect product of D52 and C4 acting via C4/C2=C2204+D5^2:C4400,129
C2.D5≀C22nd central extension by C2 of D5≀C2204C2.D5wrC2400,130
(C5×C10).Q8The non-split extension by C5×C10 of Q8 acting faithfully208+(C5xC10).Q8400,134
C1024C44th semidirect product of C102 and C4 acting faithfully204+C10^2:4C4400,162
D10⋊D103rd semidirect product of D10 and D10 acting via D10/D5=C2204+D10:D10400,180
F52Direct product of F5 and F5; = Hol(F5)2016+F5^2400,205
C2×C52⋊C8Direct product of C2 and C52⋊C8208+C2xC5^2:C8400,208
C2×D5⋊F5Direct product of C2 and D5⋊F5208+C2xD5:F5400,210
C2×D5≀C2Direct product of C2 and D5≀C2204+C2xD5wrC2400,211
C2×C52⋊Q8Direct product of C2 and C52⋊Q8208+C2xC5^2:Q8400,212

Groups of order 480

dρLabelID
C4×S5Direct product of C4 and S5; = CO3(𝔽5)204C4xS5480,943
C4⋊S5The semidirect product of C4 and S5 acting via S5/A5=C2206C4:S5480,944
C22⋊S5The semidirect product of C22 and S5 acting via S5/A5=C2206+C2^2:S5480,951
D4×A5Direct product of D4 and A5206+D4xA5480,956
C22×S5Direct product of C22 and S520C2^2xS5480,1186
F5×S4Direct product of F5 and S4; = Hol(C2×C10)2012+F5xS4480,1189

Groups of order 500

dρLabelID
C5×D5.D5Direct product of C5 and D5.D5204C5xD5.D5500,42
C5×C52⋊C4Direct product of C5 and C52⋊C4204C5xC5^2:C4500,44
C536C46th semidirect product of C53 and C4 acting faithfully204C5^3:6C4500,46
C5×D52Direct product of C5, D5 and D5204C5xD5^2500,50
C525D102nd semidirect product of C52 and D10 acting via D10/C5=C22204C5^2:5D10500,52

On 21 points

Groups of order 21

dρLabelID
C21Cyclic group211C2121,2

Groups of order 42

dρLabelID
S3×C7Direct product of C7 and S3212S3xC742,3
C3×D7Direct product of C3 and D7212C3xD742,4
D21Dihedral group212+D2142,5

Groups of order 63

dρLabelID
C3×C7⋊C3Direct product of C3 and C7⋊C3213C3xC7:C363,3

Groups of order 84

dρLabelID
S3×D7Direct product of S3 and D7214+S3xD784,8

Groups of order 126

dρLabelID
C3×F7Direct product of C3 and F7216C3xF7126,7
S3×C7⋊C3Direct product of S3 and C7⋊C3216S3xC7:C3126,8
C3⋊F7The semidirect product of C3 and F7 acting via F7/C7⋊C3=C2216+C3:F7126,9

Groups of order 147

dρLabelID
C7×C7⋊C3Direct product of C7 and C7⋊C3213C7xC7:C3147,3
C723C33rd semidirect product of C72 and C3 acting faithfully213C7^2:3C3147,5

Groups of order 252

dρLabelID
S3×F7Direct product of S3 and F7; = Aut(D21) = Hol(C21)2112+S3xF7252,26

Groups of order 294

dρLabelID
C75F7The semidirect product of C7 and F7 acting via F7/C7⋊C3=C2216+C7:5F7294,10
C72⋊C67th semidirect product of C72 and C6 acting faithfully216+C7^2:C6294,14

Groups of order 441

dρLabelID
C7⋊C32Direct product of C7⋊C3 and C7⋊C3219C7:C3^2441,9

On 22 points

Groups of order 22

dρLabelID
C22Cyclic group221C2222,2

Groups of order 44

dρLabelID
D22Dihedral group; = C2×D11222+D2244,3

Groups of order 110

dρLabelID
C2×C11⋊C5Direct product of C2 and C11⋊C5225C2xC11:C5110,2

Groups of order 220

dρLabelID
C2×F11Direct product of C2 and F11; = Aut(D22) = Hol(C22)2210+C2xF11220,7

Groups of order 242

dρLabelID
C11×D11Direct product of C11 and D11; = AΣL1(𝔽121)222C11xD11242,3

Groups of order 484

dρLabelID
C112⋊C4The semidirect product of C112 and C4 acting faithfully224+C11^2:C4484,8
D112Direct product of D11 and D11224+D11^2484,9

On 23 points

Groups of order 23

dρLabelID
C23Cyclic group231C2323,1

Groups of order 46

dρLabelID
D23Dihedral group232+D2346,1

Groups of order 253

dρLabelID
C23⋊C11The semidirect product of C23 and C11 acting faithfully2311C23:C11253,1

On 24 points

Groups of order 24

dρLabelID
C3⋊C8The semidirect product of C3 and C8 acting via C8/C4=C2242C3:C824,1
C24Cyclic group241C2424,2
Dic6Dicyclic group; = C3Q8242-Dic624,4
C2×Dic3Direct product of C2 and Dic324C2xDic324,7
C2×C12Abelian group of type [2,12]24C2xC1224,9
C3×Q8Direct product of C3 and Q8242C3xQ824,11
C22×C6Abelian group of type [2,2,6]24C2^2xC624,15

Groups of order 48

dρLabelID
S3×C8Direct product of C8 and S3242S3xC848,4
C8⋊S33rd semidirect product of C8 and S3 acting via S3/C3=C2242C8:S348,5
C24⋊C22nd semidirect product of C24 and C2 acting faithfully242C24:C248,6
D24Dihedral group242+D2448,7
C4.Dic3The non-split extension by C4 of Dic3 acting via Dic3/C6=C2242C4.Dic348,10
D6⋊C4The semidirect product of D6 and C4 acting via C4/C2=C224D6:C448,14
D4⋊S3The semidirect product of D4 and S3 acting via S3/C3=C2244+D4:S348,15
D4.S3The non-split extension by D4 of S3 acting via S3/C3=C2244-D4.S348,16
Q82S3The semidirect product of Q8 and S3 acting via S3/C3=C2244+Q8:2S348,17
C6.D47th non-split extension by C6 of D4 acting via D4/C22=C224C6.D448,19
C3×C22⋊C4Direct product of C3 and C22⋊C424C3xC2^2:C448,21
C3×M4(2)Direct product of C3 and M4(2)242C3xM4(2)48,24
C3×D8Direct product of C3 and D8242C3xD848,25
C3×SD16Direct product of C3 and SD16242C3xSD1648,26
S3×C2×C4Direct product of C2×C4 and S324S3xC2xC448,35
C2×D12Direct product of C2 and D1224C2xD1248,36
C4○D12Central product of C4 and D12242C4oD1248,37
D42S3The semidirect product of D4 and S3 acting through Inn(D4)244-D4:2S348,39
S3×Q8Direct product of S3 and Q8244-S3xQ848,40
Q83S3The semidirect product of Q8 and S3 acting through Inn(Q8)244+Q8:3S348,41
C2×C3⋊D4Direct product of C2 and C3⋊D424C2xC3:D448,43
C6×D4Direct product of C6 and D424C6xD448,45
C3×C4○D4Direct product of C3 and C4○D4242C3xC4oD448,47
S3×C23Direct product of C23 and S324S3xC2^348,51

Groups of order 72

dρLabelID
C3×C3⋊C8Direct product of C3 and C3⋊C8242C3xC3:C872,12
C322C8The semidirect product of C32 and C8 acting via C8/C2=C4244-C3^2:2C872,19
S3×Dic3Direct product of S3 and Dic3244-S3xDic372,20
D6⋊S31st semidirect product of D6 and S3 acting via S3/C3=C2244-D6:S372,22
C322Q8The semidirect product of C32 and Q8 acting via Q8/C2=C22244-C3^2:2Q872,24
C3×SL2(𝔽3)Direct product of C3 and SL2(𝔽3)242C3xSL(2,3)72,25
C3×Dic6Direct product of C3 and Dic6242C3xDic672,26
S3×C12Direct product of C12 and S3242S3xC1272,27
C3×D12Direct product of C3 and D12242C3xD1272,28
C6×Dic3Direct product of C6 and Dic324C6xDic372,29
S3×C2×C6Direct product of C2×C6 and S324S3xC2xC672,48

Groups of order 96

dρLabelID
C424S33rd semidirect product of C42 and S3 acting via S3/C3=C2242C4^2:4S396,12
C23.6D61st non-split extension by C23 of D6 acting via D6/C3=C22244C2^3.6D696,13
C12.46D43rd non-split extension by C12 of D4 acting via D4/C22=C2244+C12.46D496,30
D12⋊C44th semidirect product of D12 and C4 acting via C4/C2=C2244D12:C496,32
C12.D48th non-split extension by C12 of D4 acting via D4/C2=C22244C12.D496,40
C23.7D62nd non-split extension by C23 of D6 acting via D6/C3=C22244C2^3.7D696,41
Q83Dic32nd semidirect product of Q8 and Dic3 acting via Dic3/C6=C2244Q8:3Dic396,44
C3×C23⋊C4Direct product of C3 and C23⋊C4244C3xC2^3:C496,49
C3×C4.D4Direct product of C3 and C4.D4244C3xC4.D496,50
C3×C4≀C2Direct product of C3 and C4≀C2242C3xC4wrC296,54
A4⋊C8The semidirect product of A4 and C8 acting via C8/C4=C2243A4:C896,65
U2(𝔽3)Unitary group on 𝔽32; = SL2(𝔽3)2C4242U(2,3)96,67
C8×A4Direct product of C8 and A4243C8xA496,73
S3×C22⋊C4Direct product of S3 and C22⋊C424S3xC2^2:C496,87
D6⋊D41st semidirect product of D6 and D4 acting via D4/C22=C224D6:D496,89
S3×M4(2)Direct product of S3 and M4(2)244S3xM4(2)96,113
C8⋊D61st semidirect product of C8 and D6 acting via D6/C3=C22244+C8:D696,115
S3×D8Direct product of S3 and D8244+S3xD896,117
D8⋊S32nd semidirect product of D8 and S3 acting via S3/C3=C2244D8:S396,118
S3×SD16Direct product of S3 and SD16244S3xSD1696,120
Q83D62nd semidirect product of Q8 and D6 acting via D6/S3=C2244+Q8:3D696,121
D126C224th semidirect product of D12 and C22 acting via C22/C2=C2244D12:6C2^296,139
C232D61st semidirect product of C23 and D6 acting via D6/C3=C2224C2^3:2D696,144
D4⋊D62nd semidirect product of D4 and D6 acting via D6/C6=C2244+D4:D696,156
C244S31st semidirect product of C24 and S3 acting via S3/C3=C224C2^4:4S396,160
C3×C22≀C2Direct product of C3 and C22≀C224C3xC2^2wrC296,167
C3×C8⋊C22Direct product of C3 and C8⋊C22244C3xC8:C2^296,183
A4⋊Q8The semidirect product of A4 and Q8 acting via Q8/C4=C2246-A4:Q896,185
C2×A4⋊C4Direct product of C2 and A4⋊C424C2xA4:C496,194
C2×C4×A4Direct product of C2×C4 and A424C2xC4xA496,196
Q8×A4Direct product of Q8 and A4246-Q8xA496,199
Q8.A4The non-split extension by Q8 of A4 acting through Inn(Q8)244+Q8.A496,201
Q8⋊A41st semidirect product of Q8 and A4 acting via A4/C22=C3246-Q8:A496,203
C2×S3×D4Direct product of C2, S3 and D424C2xS3xD496,209
D46D62nd semidirect product of D4 and D6 acting through Inn(D4)244D4:6D696,211
S3×C4○D4Direct product of S3 and C4○D4244S3xC4oD496,215
D4○D12Central product of D4 and D12244+D4oD1296,216
C3×2+ 1+4Direct product of C3 and 2+ 1+4244C3xES+(2,2)96,224
C23×A4Direct product of C23 and A424C2^3xA496,228

Groups of order 120

dρLabelID
SL2(𝔽5)Special linear group on 𝔽52; = C2.A5 = 2I = <2,3,5>242-SL(2,5)120,5

Groups of order 144

dρLabelID
C12.29D63rd non-split extension by C12 of D6 acting via D6/S3=C2244C12.29D6144,53
C12.31D65th non-split extension by C12 of D6 acting via D6/S3=C2244C12.31D6144,55
C3⋊D24The semidirect product of C3 and D24 acting via D24/D12=C2244+C3:D24144,57
C325SD163rd semidirect product of C32 and SD16 acting via SD16/C4=C22244+C3^2:5SD16144,60
C6.D126th non-split extension by C6 of D12 acting via D12/D6=C224C6.D12144,65
C3×C4.Dic3Direct product of C3 and C4.Dic3242C3xC4.Dic3144,75
C3×D4⋊S3Direct product of C3 and D4⋊S3244C3xD4:S3144,80
C3×D4.S3Direct product of C3 and D4.S3244C3xD4.S3144,81
C3×C6.D4Direct product of C3 and C6.D424C3xC6.D4144,84
C3⋊S3.Q8The non-split extension by C3⋊S3 of Q8 acting via Q8/C2=C22244C3:S3.Q8144,116
C32⋊D8The semidirect product of C32 and D8 acting via D8/C2=D4244C3^2:D8144,117
C322SD16The semidirect product of C32 and SD16 acting via SD16/C2=D4244-C3^2:2SD16144,118
C2.PSU3(𝔽2)The central extension by C2 of PSU3(𝔽2)248+C2.PSU(3,2)144,120
C3×GL2(𝔽3)Direct product of C3 and GL2(𝔽3)242C3xGL(2,3)144,122
C6.6S46th non-split extension by C6 of S4 acting via S4/A4=C2244+C6.6S4144,125
S3×SL2(𝔽3)Direct product of S3 and SL2(𝔽3); = SL2(ℤ/6ℤ)244-S3xSL(2,3)144,128
C3⋊S33C82nd semidirect product of C3⋊S3 and C8 acting via C8/C4=C2244C3:S3:3C8144,130
C32⋊M4(2)The semidirect product of C32 and M4(2) acting via M4(2)/C4=C4244C3^2:M4(2)144,131
C4×C32⋊C4Direct product of C4 and C32⋊C4244C4xC3^2:C4144,132
C4⋊(C32⋊C4)The semidirect product of C4 and C32⋊C4 acting via C32⋊C4/C3⋊S3=C2244C4:(C3^2:C4)144,133
C62.C42nd non-split extension by C62 of C4 acting faithfully244-C6^2.C4144,135
D12⋊S33rd semidirect product of D12 and S3 acting via S3/C3=C2244D12:S3144,139
Dic3.D62nd non-split extension by Dic3 of D6 acting via D6/S3=C2244Dic3.D6144,140
D6.D61st non-split extension by D6 of D6 acting via D6/C6=C2244D6.D6144,141
D6.6D62nd non-split extension by D6 of D6 acting via D6/C6=C2244+D6.6D6144,142
C4×S32Direct product of C4, S3 and S3244C4xS3^2144,143
S3×D12Direct product of S3 and D12244+S3xD12144,144
D6⋊D62nd semidirect product of D6 and D6 acting via D6/S3=C2244D6:D6144,145
D6.3D63rd non-split extension by D6 of D6 acting via D6/S3=C2244D6.3D6144,147
D6.4D64th non-split extension by D6 of D6 acting via D6/S3=C2244-D6.4D6144,148
C2×C6.D6Direct product of C2 and C6.D624C2xC6.D6144,149
C2×C3⋊D12Direct product of C2 and C3⋊D1224C2xC3:D12144,151
S3×C3⋊D4Direct product of S3 and C3⋊D4244S3xC3:D4144,153
C3×C4○D12Direct product of C3 and C4○D12242C3xC4oD12144,161
C3×S3×D4Direct product of C3, S3 and D4244C3xS3xD4144,162
C3×D42S3Direct product of C3 and D42S3244C3xD4:2S3144,163
C6×C3⋊D4Direct product of C6 and C3⋊D424C6xC3:D4144,167
C22×C32⋊C4Direct product of C22 and C32⋊C424C2^2xC3^2:C4144,191
C22×S32Direct product of C22, S3 and S324C2^2xS3^2144,192

Groups of order 168

dρLabelID
C3×F8Direct product of C3 and F8247C3xF8168,44

Groups of order 192

dρLabelID
C82⋊C3The semidirect product of C82 and C3 acting faithfully243C8^2:C3192,3
C3⋊C2≀C4The semidirect product of C3 and C2≀C4 acting via C2≀C4/C23⋊C4=C2248+C3:C2wrC4192,30
C23.2D122nd non-split extension by C23 of D12 acting via D12/C3=D4248+C2^3.2D12192,33
C23.3D123rd non-split extension by C23 of D12 acting via D12/C3=D4248+C2^3.3D12192,34
C245Dic31st semidirect product of C24 and Dic3 acting via Dic3/C3=C4244C2^4:5Dic3192,95
C425Dic33rd semidirect product of C42 and Dic3 acting via Dic3/C3=C4244C4^2:5Dic3192,104
C3×C2≀C4Direct product of C3 and C2≀C4244C3xC2wrC4192,157
C3×C42⋊C4Direct product of C3 and C42⋊C4244C3xC4^2:C4192,159
C23.7S41st non-split extension by C23 of S4 acting via S4/C22=S3246C2^3.7S4192,180
C23.8S42nd non-split extension by C23 of S4 acting via S4/C22=S3246+C2^3.8S4192,181
C2×C23.3A4Direct product of C2 and C23.3A424C2xC2^3.3A4192,189
C424C4⋊C3The semidirect product of C424C4 and C3 acting faithfully246C4^2:4C4:C3192,190
C42⋊C121st semidirect product of C42 and C12 acting via C12/C2=C6246C4^2:C12192,192
C422C122nd semidirect product of C42 and C12 acting via C12/C2=C6246-C4^2:2C12192,193
C24.A41st non-split extension by C24 of A4 acting faithfully246C2^4.A4192,195
(C22×C4).A44th non-split extension by C22×C4 of A4 acting faithfully246-(C2^2xC4).A4192,196
C24.3A43rd non-split extension by C24 of A4 acting faithfully246C2^4.3A4192,198
C23.19(C2×A4)12nd non-split extension by C23 of C2×A4 acting via C2×A4/C23=C3246C2^3.19(C2xA4)192,199
C23⋊D12The semidirect product of C23 and D12 acting via D12/C3=D4248+C2^3:D12192,300
S3×C23⋊C4Direct product of S3 and C23⋊C4248+S3xC2^3:C4192,302
S3×C4.D4Direct product of S3 and C4.D4248+S3xC4.D4192,303
D121D41st semidirect product of D12 and D4 acting via D4/C2=C22248+D12:1D4192,306
S3×C4≀C2Direct product of S3 and C4≀C2244S3xC4wrC2192,379
Q85D123rd semidirect product of Q8 and D12 acting via D12/D6=C2244+Q8:5D12192,381
C246D61st semidirect product of C24 and D6 acting via D6/C3=C22244C2^4:6D6192,591
C428D66th semidirect product of C42 and D6 acting via D6/C3=C22244C4^2:8D6192,636
D1218D46th semidirect product of D12 and D4 acting via D4/C22=C2248+D12:18D4192,757
2+ 1+46S31st semidirect product of 2+ 1+4 and S3 acting via S3/C3=C2248+ES+(2,2):6S3192,800
2+ 1+47S32nd semidirect product of 2+ 1+4 and S3 acting via S3/C3=C2248+ES+(2,2):7S3192,803
C3×D44D4Direct product of C3 and D44D4244C3xD4:4D4192,886
C3×C2≀C22Direct product of C3 and C2≀C22244C3xC2wrC2^2192,890
C8×S4Direct product of C8 and S4243C8xS4192,958
C8⋊S43rd semidirect product of C8 and S4 acting via S4/A4=C2246C8:S4192,959
C82S42nd semidirect product of C8 and S4 acting via S4/A4=C2246C8:2S4192,960
A4⋊D8The semidirect product of A4 and D8 acting via D8/C8=C2246+A4:D8192,961
A4⋊M4(2)The semidirect product of A4 and M4(2) acting via M4(2)/C2×C4=C2246A4:M4(2)192,968
C24.5D64th non-split extension by C24 of D6 acting via D6/C2=S324C2^4.5D6192,972
A4⋊SD16The semidirect product of A4 and SD16 acting via SD16/D4=C2246A4:SD16192,973
D4⋊S4The semidirect product of D4 and S4 acting via S4/A4=C2246+D4:S4192,974
Q83S4The semidirect product of Q8 and S4 acting via S4/A4=C2246Q8:3S4192,976
Q8.5S43rd non-split extension by Q8 of S4 acting via S4/A4=C2244+Q8.5S4192,988
C25.S31st non-split extension by C25 of S3 acting faithfully24C2^5.S3192,991
C22×C42⋊C3Direct product of C22 and C42⋊C324C2^2xC4^2:C3192,992
A4×C22⋊C4Direct product of A4 and C22⋊C424A4xC2^2:C4192,994
C2×C42⋊C6Direct product of C2 and C42⋊C6246C2xC4^2:C6192,1001
A4×M4(2)Direct product of A4 and M4(2)246A4xM4(2)192,1011
A4×D8Direct product of A4 and D8246+A4xD8192,1014
A4×SD16Direct product of A4 and SD16246A4xSD16192,1015
C422A4The semidirect product of C42 and A4 acting via A4/C22=C324C4^2:2A4192,1020
S3×C22≀C2Direct product of S3 and C22≀C224S3xC2^2wrC2192,1147
S3×C8⋊C22Direct product of S3 and C8⋊C22; = Aut(D24) = Hol(C24)248+S3xC8:C2^2192,1331
C2×C4×S4Direct product of C2×C4 and S424C2xC4xS4192,1469
C2×C4⋊S4Direct product of C2 and C4⋊S424C2xC4:S4192,1470
C24.10D69th non-split extension by C24 of D6 acting via D6/C2=S3246C2^4.10D6192,1471
D42S4The semidirect product of D4 and S4 acting through Inn(D4)246D4:2S4192,1473
Q8×S4Direct product of Q8 and S4246-Q8xS4192,1477
Q84S4The semidirect product of Q8 and S4 acting through Inn(Q8)246Q8:4S4192,1478
C2×A4⋊D4Direct product of C2 and A4⋊D424C2xA4:D4192,1488
Q8⋊S41st semidirect product of Q8 and S4 acting via S4/C22=S3246Q8:S4192,1490
C2×D4×A4Direct product of C2, D4 and A424C2xD4xA4192,1497
A4×C4○D4Direct product of A4 and C4○D4246A4xC4oD4192,1501
C4×C22⋊A4Direct product of C4 and C22⋊A424C4xC2^2:A4192,1505
C4○D4⋊A41st semidirect product of C4○D4 and A4 acting via A4/C22=C3246C4oD4:A4192,1507
S3×2+ 1+4Direct product of S3 and 2+ 1+4248+S3xES+(2,2)192,1524
C23×S4Direct product of C23 and S424C2^3xS4192,1537
C26⋊C33rd semidirect product of C26 and C3 acting faithfully24C2^6:C3192,1541

Groups of order 216

dρLabelID
C3×C322C8Direct product of C3 and C322C8244C3xC3^2:2C8216,117
C334C82nd semidirect product of C33 and C8 acting via C8/C2=C4244C3^3:4C8216,118
C3×S3×Dic3Direct product of C3, S3 and Dic3244C3xS3xDic3216,119
C3×C6.D6Direct product of C3 and C6.D6244C3xC6.D6216,120
C3×D6⋊S3Direct product of C3 and D6⋊S3244C3xD6:S3216,121
C3×C3⋊D12Direct product of C3 and C3⋊D12244C3xC3:D12216,122
C3×C322Q8Direct product of C3 and C322Q8244C3xC3^2:2Q8216,123
C339(C2×C4)6th semidirect product of C33 and C2×C4 acting via C2×C4/C2=C22244C3^3:9(C2xC4)216,131
C339D46th semidirect product of C33 and D4 acting via D4/C2=C22244C3^3:9D4216,132
C335Q83rd semidirect product of C33 and Q8 acting via Q8/C2=C22244C3^3:5Q8216,133
C3×F9Direct product of C3 and F9248C3xF9216,154
C3⋊F9The semidirect product of C3 and F9 acting via F9/C32⋊C4=C2248C3:F9216,155
C3×PSU3(𝔽2)Direct product of C3 and PSU3(𝔽2)248C3xPSU(3,2)216,160
C33⋊Q82nd semidirect product of C33 and Q8 acting faithfully248C3^3:Q8216,161
C3×C3⋊S4Direct product of C3 and C3⋊S4246C3xC3:S4216,164
C3×S3×A4Direct product of C3, S3 and A4246C3xS3xA4216,166
C6×C32⋊C4Direct product of C6 and C32⋊C4244C6xC3^2:C4216,168
C2×C33⋊C4Direct product of C2 and C33⋊C4244C2xC3^3:C4216,169
S32×C6Direct product of C6, S3 and S3244S3^2xC6216,170
C2×C324D6Direct product of C2 and C324D6244C2xC3^2:4D6216,172

Groups of order 240

dρLabelID
C4.A5The central extension by C4 of A5242C4.A5240,93

Groups of order 288

dρLabelID
C12.70D121st non-split extension by C12 of D12 acting via D12/D6=C2244+C12.70D12288,207
D124Dic34th semidirect product of D12 and Dic3 acting via Dic3/C6=C2244D12:4Dic3288,216
C62.31D415th non-split extension by C62 of D4 acting via D4/C2=C22244C6^2.31D4288,228
C62.32D416th non-split extension by C62 of D4 acting via D4/C2=C22244C6^2.32D4288,229
C3×C424S3Direct product of C3 and C424S3242C3xC4^2:4S3288,239
C3×C23.6D6Direct product of C3 and C23.6D6244C3xC2^3.6D6288,240
C3×C12.D4Direct product of C3 and C12.D4244C3xC12.D4288,267
C3×C23.7D6Direct product of C3 and C23.7D6244C3xC2^3.7D6288,268
S32⋊C8The semidirect product of S32 and C8 acting via C8/C4=C2244S3^2:C8288,374
C4.S3≀C21st non-split extension by C4 of S3≀C2 acting via S3≀C2/S32=C2244C4.S3wrC2288,375
C3⋊S3.2D81st non-split extension by C3⋊S3 of D8 acting via D8/C4=C22244C3:S3.2D8288,377
C62.2D42nd non-split extension by C62 of D4 acting faithfully244+C6^2.2D4288,386
Dic3≀C2Wreath product of Dic3 by C2244-Dic3wrC2288,389
(C22×S3)⋊A4The semidirect product of C22×S3 and A4 acting faithfully246(C2^2xS3):A4288,411
(C6×C12)⋊C41st semidirect product of C6×C12 and C4 acting faithfully244+(C6xC12):C4288,422
C3⋊S3.5D8The non-split extension by C3⋊S3 of D8 acting via D8/D4=C2248+C3:S3.5D8288,430
(C2×C62)⋊C44th semidirect product of C2×C62 and C4 acting faithfully244(C2xC6^2):C4288,434
(C2×C62).C45th non-split extension by C2×C62 of C4 acting faithfully244(C2xC6^2).C4288,436
C3⋊C820D69th semidirect product of C3⋊C8 and D6 acting via D6/S3=C2244C3:C8:20D6288,466
D1218D62nd semidirect product of D12 and D6 acting via D6/C6=C2244+D12:18D6288,473
D12⋊D64th semidirect product of D12 and D6 acting via D6/C3=C22248+D12:D6288,574
Dic6⋊D64th semidirect product of Dic6 and D6 acting via D6/C3=C22248+Dic6:D6288,578
D125D65th semidirect product of D12 and D6 acting via D6/C3=C22248+D12:5D6288,585
C62.116C23111st non-split extension by C62 of C23 acting via C23/C2=C2224C6^2.116C2^3288,622
C628D45th semidirect product of C62 and D4 acting via D4/C2=C2224C6^2:8D4288,629
C3×C24⋊C6Direct product of C3 and C24⋊C6246C3xC2^4:C6288,634
C3×D126C22Direct product of C3 and D126C22244C3xD12:6C2^2288,703
C3×C244S3Direct product of C3 and C244S324C3xC2^4:4S3288,724
C2.AΓL1(𝔽9)1st central extension by C2 of AΓL1(𝔽9)248+C2.AGammaL(1,9)288,841
S3×GL2(𝔽3)Direct product of S3 and GL2(𝔽3); = GL2(ℤ/6ℤ)244S3xGL(2,3)288,851
A4×SL2(𝔽3)Direct product of A4 and SL2(𝔽3)246-A4xSL(2,3)288,859
Ω4+ (𝔽3)Omega group of + type on 𝔽34; = SL2(𝔽3)A4244+Omega+(4,3)288,860
C22⋊F9The semidirect product of C22 and F9 acting via F9/C32⋊C4=C2248+C2^2:F9288,867
S32⋊Q8The semidirect product of S32 and Q8 acting via Q8/C4=C2244S3^2:Q8288,868
C4.4S3≀C24th non-split extension by C4 of S3≀C2 acting via S3≀C2/C32⋊C4=C2248+C4.4S3wrC2288,869
C32⋊D8⋊C23rd semidirect product of C32⋊D8 and C2 acting faithfully244C3^2:D8:C2288,872
C3⋊S3⋊D8The semidirect product of C3⋊S3 and D8 acting via D8/C4=C22248+C3:S3:D8288,873
C3⋊S32SD16The semidirect product of C3⋊S3 and SD16 acting via SD16/C4=C22248+C3:S3:2SD16288,875
C4×S3≀C2Direct product of C4 and S3≀C2244C4xS3wrC2288,877
S32⋊D4The semidirect product of S32 and D4 acting via D4/C4=C2244S3^2:D4288,878
C4⋊S3≀C2The semidirect product of C4 and S3≀C2 acting via S3≀C2/C32⋊C4=C2248+C4:S3wrC2288,879
C2×S32⋊C4Direct product of C2 and S32⋊C424C2xS3^2:C4288,880
C62.9D49th non-split extension by C62 of D4 acting faithfully244C6^2.9D4288,881
C62.12D412nd non-split extension by C62 of D4 acting faithfully244C6^2.12D4288,884
C62⋊D42nd semidirect product of C62 and D4 acting faithfully248+C6^2:D4288,890
C62⋊Q81st semidirect product of C62 and Q8 acting faithfully248+C6^2:Q8288,895
C3⋊S3⋊M4(2)2nd semidirect product of C3⋊S3 and M4(2) acting via M4(2)/C2×C4=C2244C3:S3:M4(2)288,931
(C6×C12)⋊5C45th semidirect product of C6×C12 and C4 acting faithfully244(C6xC12):5C4288,934
D4×C32⋊C4Direct product of D4 and C32⋊C4248+D4xC3^2:C4288,936
C2×C62⋊C4Direct product of C2 and C62⋊C424C2xC6^2:C4288,941
D1223D67th semidirect product of D12 and D6 acting via D6/C6=C2244D12:23D6288,954
D1227D63rd semidirect product of D12 and D6 acting through Inn(D12)244+D12:27D6288,956
S32×D4Direct product of S3, S3 and D4248+S3^2xD4288,958
Dic612D66th semidirect product of Dic6 and D6 acting via D6/S3=C2248+Dic6:12D6288,960
D1213D67th semidirect product of D12 and D6 acting via D6/S3=C2248+D12:13D6288,962
C2×Dic3⋊D6Direct product of C2 and Dic3⋊D624C2xDic3:D6288,977
C32⋊2+ 1+4The semidirect product of C32 and 2+ 1+4 acting via 2+ 1+4/C23=C22244C3^2:ES+(2,2)288,978
C3×C23⋊A4Direct product of C3 and C23⋊A4244C3xC2^3:A4288,987
C3×D46D6Direct product of C3 and D46D6244C3xD4:6D6288,994
C22×S3≀C2Direct product of C22 and S3≀C224C2^2xS3wrC2288,1031
C3×C22⋊S4Direct product of C3 and C22⋊S4246C3xC2^2:S4288,1035
(C2×C6)⋊S42nd semidirect product of C2×C6 and S4 acting via S4/C22=S3246(C2xC6):S4288,1036

Groups of order 336

dρLabelID
S3×F8Direct product of S3 and F82414+S3xF8336,211

Groups of order 432

dρLabelID
D6⋊(C32⋊C4)The semidirect product of D6 and C32⋊C4 acting via C32⋊C4/C3⋊S3=C2248+D6:(C3^2:C4)432,568
C335(C2×C8)2nd semidirect product of C33 and C2×C8 acting via C2×C8/C2=C2×C4248+C3^3:5(C2xC8)432,571
C332M4(2)2nd semidirect product of C33 and M4(2) acting via M4(2)/C2=C2×C4248+C3^3:2M4(2)432,573
C3×S32⋊C4Direct product of C3 and S32⋊C4244C3xS3^2:C4432,574
C3×C32⋊D8Direct product of C3 and C32⋊D8244C3xC3^2:D8432,576
C3×C322SD16Direct product of C3 and C322SD16244C3xC3^2:2SD16432,577
C3⋊S3.2D121st non-split extension by C3⋊S3 of D12 acting via D12/C6=C22244C3:S3.2D12432,579
S32⋊Dic3The semidirect product of S32 and Dic3 acting via Dic3/C6=C2244S3^2:Dic3432,580
C33⋊D82nd semidirect product of C33 and D8 acting via D8/C2=D4244C3^3:D8432,582
C336SD162nd semidirect product of C33 and SD16 acting via SD16/C2=D4244C3^3:6SD16432,583
C337SD163rd semidirect product of C33 and SD16 acting via SD16/C2=D4244C3^3:7SD16432,584
(C3×C6).8D121st non-split extension by C3×C6 of D12 acting via D12/C3=D4248+(C3xC6).8D12432,586
C322D24The semidirect product of C32 and D24 acting via D24/C6=D4248+C3^2:2D24432,588
C338SD164th semidirect product of C33 and SD16 acting via SD16/C2=D4248+C3^3:8SD16432,589
S3×C6.D6Direct product of S3 and C6.D6248+S3xC6.D6432,595
S3×C3⋊D12Direct product of S3 and C3⋊D12248+S3xC3:D12432,598
D64S321st semidirect product of D6 and S32 acting via S32/C3⋊S3=C2248+D6:4S3^2432,599
(S3×C6)⋊D61st semidirect product of S3×C6 and D6 acting via D6/C3=C22248+(S3xC6):D6432,601
C3⋊S34D12The semidirect product of C3⋊S3 and D12 acting via D12/D6=C2248+C3:S3:4D12432,602
C336(C2×Q8)3rd semidirect product of C33 and C2×Q8 acting via C2×Q8/C2=C23248+C3^3:6(C2xQ8)432,605
(S3×C6).D69th non-split extension by S3×C6 of D6 acting via D6/C3=C22248+(S3xC6).D6432,606
D6.3S323rd non-split extension by D6 of S32 acting via S32/C3×S3=C2248+D6.3S3^2432,609
Dic3.S324th non-split extension by Dic3 of S32 acting via S32/C3×S3=C2248+Dic3.S3^2432,612
C3×C62.C4Direct product of C3 and C62.C4244C3xC6^2.C4432,633
C3×C62⋊C4Direct product of C3 and C62⋊C4244C3xC6^2:C4432,634
C3312M4(2)2nd semidirect product of C33 and M4(2) acting via M4(2)/C22=C4244C3^3:12M4(2)432,640
C6211Dic31st semidirect product of C62 and Dic3 acting via Dic3/C3=C4244C6^2:11Dic3432,641
C3×D6.3D6Direct product of C3 and D6.3D6244C3xD6.3D6432,652
C3×D6.4D6Direct product of C3 and D6.4D6244C3xD6.4D6432,653
C3×S3×C3⋊D4Direct product of C3, S3 and C3⋊D4244C3xS3xC3:D4432,658
C3×Dic3⋊D6Direct product of C3 and Dic3⋊D6244C3xDic3:D6432,659
C62.96D644th non-split extension by C62 of D6 acting via D6/C3=C22244C6^2.96D6432,693
C6224D65th semidirect product of C62 and D6 acting via D6/C3=C22244C6^2:24D6432,696
S3×F9Direct product of S3 and F92416+S3xF9432,736
C3×AΓL1(𝔽9)Direct product of C3 and AΓL1(𝔽9)248C3xAGammaL(1,9)432,737
C33⋊SD162nd semidirect product of C33 and SD16 acting faithfully248C3^3:SD16432,738
C333SD163rd semidirect product of C33 and SD16 acting faithfully2416+C3^3:3SD16432,739
F9⋊S3The semidirect product of F9 and S3 acting via S3/C3=C22416+F9:S3432,740
S3×PSU3(𝔽2)Direct product of S3 and PSU3(𝔽2)2416+S3xPSU(3,2)432,742
C62⋊Dic3The semidirect product of C62 and Dic3 acting faithfully2412+C6^2:Dic3432,743
A4×C32⋊C4Direct product of A4 and C32⋊C42412+A4xC3^2:C4432,744
C3×S3×S4Direct product of C3, S3 and S4246C3xS3xS4432,745
S3×C3⋊S4Direct product of S3 and C3⋊S42412+S3xC3:S4432,747
C6210D610th semidirect product of C62 and D6 acting faithfully2412+C6^2:10D6432,748
S32×A4Direct product of S3, S3 and A42412+S3^2xA4432,749
C2×S3×C32⋊C4Direct product of C2, S3 and C32⋊C4248+C2xS3xC3^2:C4432,753
C6×S3≀C2Direct product of C6 and S3≀C2244C6xS3wrC2432,754
C2×C33⋊D4Direct product of C2 and C33⋊D4244C2xC3^3:D4432,755
C2×C322D12Direct product of C2 and C322D12248+C2xC3^2:2D12432,756
C2×S33Direct product of C2, S3, S3 and S3248+C2xS3^3432,759

Groups of order 480

dρLabelID
GL2(𝔽5)General linear group on 𝔽52; = SL2(𝔽5)1C4 = Aut(C52)244GL(2,5)480,218
A5⋊Q8The semidirect product of A5 and Q8 acting via Q8/C4=C2246A5:Q8480,945
C2×A5⋊C4Direct product of C2 and A5⋊C424C2xA5:C4480,952

On 25 points

Groups of order 25

dρLabelID
C25Cyclic group251C2525,1
C52Elementary abelian group of type [5,5]25C5^225,2

Groups of order 50

dρLabelID
D25Dihedral group252+D2550,1
C5⋊D5The semidirect product of C5 and D5 acting via D5/C5=C225C5:D550,4

Groups of order 100

dρLabelID
C25⋊C4The semidirect product of C25 and C4 acting faithfully254+C25:C4100,3
C5⋊F51st semidirect product of C5 and F5 acting via F5/C5=C425C5:F5100,11

Groups of order 125

dρLabelID
He5Heisenberg group; = C52C5 = 5+ 1+2255He5125,3
5- 1+2Extraspecial group255ES-(5,1)125,4

Groups of order 250

dρLabelID
C52⋊C10The semidirect product of C52 and C10 acting faithfully2510+C5^2:C10250,5
C25⋊C10The semidirect product of C25 and C10 acting faithfully2510+C25:C10250,6
He5⋊C22nd semidirect product of He5 and C2 acting faithfully255He5:C2250,8

Groups of order 300

dρLabelID
C5×A5Direct product of C5 and A5; = U2(𝔽4)253C5xA5300,22

Groups of order 500

dρLabelID
C52⋊C20The semidirect product of C52 and C20 acting faithfully2520+C5^2:C20500,17
C25⋊C20The semidirect product of C25 and C20 acting faithfully; = Aut(D25) = Hol(C25)2520+C25:C20500,18
He5⋊C42nd semidirect product of He5 and C4 acting faithfully2520+He5:C4500,21
C52⋊F53rd semidirect product of C52 and F5 acting faithfully2510+C5^2:F5500,23
He54C44th semidirect product of He5 and C4 acting faithfully; = Aut(5- 1+2)255He5:4C4500,25
C52⋊D10The semidirect product of C52 and D10 acting faithfully2510+C5^2:D10500,27

On 26 points

Groups of order 26

dρLabelID
C26Cyclic group261C2626,2

Groups of order 52

dρLabelID
D26Dihedral group; = C2×D13262+D2652,4

Groups of order 78

dρLabelID
C2×C13⋊C3Direct product of C2 and C13⋊C3263C2xC13:C378,2

Groups of order 104

dρLabelID
C2×C13⋊C4Direct product of C2 and C13⋊C4264+C2xC13:C4104,12

Groups of order 156

dρLabelID
C2×C13⋊C6Direct product of C2 and C13⋊C6266+C2xC13:C6156,8

Groups of order 312

dρLabelID
C2×F13Direct product of C2 and F13; = Aut(D26) = Hol(C26)2612+C2xF13312,45

Groups of order 338

dρLabelID
C13×D13Direct product of C13 and D13; = AΣL1(𝔽169)262C13xD13338,3

On 27 points

Groups of order 27

dρLabelID
C27Cyclic group271C2727,1
C3×C9Abelian group of type [3,9]27C3xC927,2
C33Elementary abelian group of type [3,3,3]27C3^327,5

Groups of order 54

dρLabelID
D27Dihedral group272+D2754,1
C9⋊S3The semidirect product of C9 and S3 acting via S3/C3=C227C9:S354,7
C33⋊C23rd semidirect product of C33 and C2 acting faithfully27C3^3:C254,14

Groups of order 81

dρLabelID
C32⋊C9The semidirect product of C32 and C9 acting via C9/C3=C327C3^2:C981,3
C27⋊C3The semidirect product of C27 and C3 acting faithfully273C27:C381,6
He3.C3The non-split extension by He3 of C3 acting faithfully273He3.C381,8
He3⋊C32nd semidirect product of He3 and C3 acting faithfully273He3:C381,9
C3.He34th central stem extension by C3 of He3273C3.He381,10
C3×He3Direct product of C3 and He327C3xHe381,12
C3×3- 1+2Direct product of C3 and 3- 1+227C3xES-(3,1)81,13
C9○He3Central product of C9 and He3273C9oHe381,14

Groups of order 162

dρLabelID
C32⋊D91st semidirect product of C32 and D9 acting via D9/C3=S327C3^2:D9162,5
C27⋊C6The semidirect product of C27 and C6 acting faithfully276+C27:C6162,9
He3.C61st non-split extension by He3 of C6 acting faithfully273He3.C6162,12
He3.S31st non-split extension by He3 of S3 acting faithfully276+He3.S3162,13
He3.2C62nd non-split extension by He3 of C6 acting faithfully273He3.2C6162,14
He3.2S32nd non-split extension by He3 of S3 acting faithfully276+He3.2S3162,15
He3.3S33rd non-split extension by He3 of S3 acting faithfully276+He3.3S3162,20
He3⋊S33rd semidirect product of He3 and S3 acting faithfully276+He3:S3162,21
3- 1+2.S3The non-split extension by 3- 1+2 of S3 acting faithfully276+ES-(3,1).S3162,22
He34S31st semidirect product of He3 and S3 acting via S3/C3=C227He3:4S3162,40
C3×He3⋊C2Direct product of C3 and He3⋊C227C3xHe3:C2162,41
C33.S34th non-split extension by C33 of S3 acting faithfully27C3^3.S3162,42
He3.4S3The non-split extension by He3 of S3 acting via S3/C3=C2276+He3.4S3162,43
He3.4C6The non-split extension by He3 of C6 acting via C6/C3=C2273He3.4C6162,44

Groups of order 216

dρLabelID
He3⋊C8The semidirect product of He3 and C8 acting faithfully276+He3:C8216,86
SU3(𝔽2)Special unitary group on 𝔽23; = He3Q8273SU(3,2)216,88

Groups of order 243

dρLabelID
C33⋊C91st semidirect product of C33 and C9 acting via C9/C3=C327C3^3:C9243,13
C9.4He32nd central extension by C9 of He3273C9.4He3243,16
C27⋊C9The semidirect product of C27 and C9 acting faithfully279C27:C9243,22
C92⋊C31st semidirect product of C92 and C3 acting faithfully273C9^2:C3243,25
C922C32nd semidirect product of C92 and C3 acting faithfully273C9^2:2C3243,26
C92.C32nd non-split extension by C92 of C3 acting faithfully273C9^2.C3243,27
C32.He34th non-split extension by C32 of He3 acting via He3/C32=C3279C3^2.He3243,28
C32.5He35th non-split extension by C32 of He3 acting via He3/C32=C3279C3^2.5He3243,29
C32.6He36th non-split extension by C32 of He3 acting via He3/C32=C3279C3^2.6He3243,30
C32⋊He3The semidirect product of C32 and He3 acting via He3/C32=C327C3^2:He3243,37
C34.C33rd non-split extension by C34 of C3 acting faithfully27C3^4.C3243,38
C3×C3≀C3Direct product of C3 and C3≀C327C3xC3wrC3243,51
C9.He31st non-split extension by C9 of He3 acting via He3/C32=C3273C9.He3243,55
C33⋊C322nd semidirect product of C33 and C32 acting faithfully279C3^3:C3^2243,56
He3.C324th non-split extension by He3 of C32 acting via C32/C3=C3279He3.C3^2243,57
He3⋊C323rd semidirect product of He3 and C32 acting via C32/C3=C3279He3:C3^2243,58
C32.C339th non-split extension by C32 of C33 acting via C33/C32=C3279C3^2.C3^3243,59
C9.2He32nd non-split extension by C9 of He3 acting via He3/C32=C3279C9.2He3243,60
3+ 1+4Extraspecial group; = He3He3279ES+(3,2)243,65
3- 1+4Extraspecial group; = He33- 1+2279ES-(3,2)243,66

Groups of order 324

dρLabelID
He3.D61st non-split extension by He3 of D6 acting faithfully276+He3.D6324,40
He3.2D62nd non-split extension by He3 of D6 acting faithfully276+He3.2D6324,41
He36D62nd semidirect product of He3 and D6 acting via D6/C3=C2227He3:6D6324,124
He3.6D6The non-split extension by He3 of D6 acting via D6/C3=C22276+He3.6D6324,125

Groups of order 351

dρLabelID
C33⋊C13The semidirect product of C33 and C13 acting faithfully2713C3^3:C13351,12

Groups of order 432

dρLabelID
He3⋊SD16The semidirect product of He3 and SD16 acting faithfully276+He3:SD16432,520

Groups of order 486

dρLabelID
C27⋊C18The semidirect product of C27 and C18 acting faithfully; = Aut(D27) = Hol(C27)2718+C27:C18486,31
C92⋊C61st semidirect product of C92 and C6 acting faithfully276+C9^2:C6486,35
C92⋊S31st semidirect product of C92 and S3 acting faithfully276+C9^2:S3486,36
C922C62nd semidirect product of C92 and C6 acting faithfully276+C9^2:2C6486,37
C92.S32nd non-split extension by C92 of S3 acting faithfully276+C9^2.S3486,38
C9⋊C9.S32nd non-split extension by C9⋊C9 of S3 acting faithfully2718+C9:C9.S3486,39
C9⋊C9.3S33rd non-split extension by C9⋊C9 of S3 acting faithfully2718+C9:C9.3S3486,40
C9⋊C9⋊S31st semidirect product of C9⋊C9 and S3 acting faithfully2718+C9:C9:S3486,41
C332D92nd semidirect product of C33 and D9 acting via D9/C3=S327C3^3:2D9486,52
C33.D93rd non-split extension by C33 of D9 acting via D9/C3=S3276+C3^3.D9486,55
C922S32nd semidirect product of C92 and S3 acting faithfully273C9^2:2S3486,61
C34⋊S31st semidirect product of C34 and S3 acting faithfully27C3^4:S3486,103
C34.S34th non-split extension by C34 of S3 acting faithfully27C3^4.S3486,105
C3×C3≀S3Direct product of C3 and C3≀S327C3xC3wrS3486,115
C3≀S33C3The semidirect product of C3≀S3 and C3 acting through Inn(C3≀S3)273C3wrS3:3C3486,125
C3≀C3⋊C62nd semidirect product of C3≀C3 and C6 acting faithfully279C3wrC3:C6486,126
(C3×He3)⋊C68th semidirect product of C3×He3 and C6 acting faithfully2718+(C3xHe3):C6486,127
He3.C3⋊C63rd semidirect product of He3.C3 and C6 acting faithfully279He3.C3:C6486,128
C9⋊S3⋊C322nd semidirect product of C9⋊S3 and C32 acting faithfully2718+C9:S3:C3^2486,129
He3.(C3×C6)6th non-split extension by He3 of C3×C6 acting via C3×C6/C3=C6279He3.(C3xC6)486,130
He3.(C3×S3)5th non-split extension by He3 of C3×S3 acting via C3×S3/C3=S32718+He3.(C3xS3)486,131
C3≀C3.C6The non-split extension by C3≀C3 of C6 acting faithfully279C3wrC3.C6486,132
C344C64th semidirect product of C34 and C6 acting faithfully27C3^4:4C6486,146
C345C65th semidirect product of C34 and C6 acting faithfully27C3^4:5C6486,167
C3≀C3.S3The non-split extension by C3≀C3 of S3 acting via S3/C3=C2276+C3wrC3.S3486,175
C33⋊(C3×S3)4th semidirect product of C33 and C3×S3 acting faithfully2718+C3^3:(C3xS3)486,176
He3.C32C62nd semidirect product of He3.C3 and C6 acting faithfully2718+He3.C3:2C6486,177
He3⋊(C3×S3)4th semidirect product of He3 and C3×S3 acting via C3×S3/C3=S32718+He3:(C3xS3)486,178
C3.He3⋊C6The semidirect product of C3.He3 and C6 acting faithfully2718+C3.He3:C6486,179
C346S36th semidirect product of C34 and S3 acting faithfully27C3^4:6S3486,183
C347S37th semidirect product of C34 and S3 acting faithfully27C3^4:7S3486,185
C3≀C3⋊S32nd semidirect product of C3≀C3 and S3 acting via S3/C3=C2276+C3wrC3:S3486,189
3+ 1+4⋊C21st semidirect product of 3+ 1+4 and C2 acting faithfully2718+ES+(3,2):C2486,236
3+ 1+42C22nd semidirect product of 3+ 1+4 and C2 acting faithfully279ES+(3,2):2C2486,237
3- 1+4⋊C21st semidirect product of 3- 1+4 and C2 acting faithfully2718+ES-(3,2):C2486,238
3- 1+42C22nd semidirect product of 3- 1+4 and C2 acting faithfully279ES-(3,2):2C2486,239
3+ 1+43C23rd semidirect product of 3+ 1+4 and C2 acting faithfully279ES+(3,2):3C2486,249

On 28 points

Groups of order 28

dρLabelID
Dic7Dicyclic group; = C7C4282-Dic728,1
C28Cyclic group281C2828,2
C2×C14Abelian group of type [2,14]28C2xC1428,4

Groups of order 56

dρLabelID
C4×D7Direct product of C4 and D7282C4xD756,4
D28Dihedral group282+D2856,5
C7⋊D4The semidirect product of C7 and D4 acting via D4/C22=C2282C7:D456,7
C7×D4Direct product of C7 and D4282C7xD456,9
C22×D7Direct product of C22 and D728C2^2xD756,12

Groups of order 84

dρLabelID
C7⋊C12The semidirect product of C7 and C12 acting via C12/C2=C6286-C7:C1284,1
C4×C7⋊C3Direct product of C4 and C7⋊C3283C4xC7:C384,2
C22×C7⋊C3Direct product of C22 and C7⋊C328C2^2xC7:C384,9
C7×A4Direct product of C7 and A4283C7xA484,10
C7⋊A4The semidirect product of C7 and A4 acting via A4/C22=C3283C7:A484,11

Groups of order 112

dρLabelID
D4×D7Direct product of D4 and D7284+D4xD7112,31

Groups of order 168

dρLabelID
C4×F7Direct product of C4 and F7286C4xF7168,8
C4⋊F7The semidirect product of C4 and F7 acting via F7/C7⋊C3=C2286+C4:F7168,9
Dic7⋊C6The semidirect product of Dic7 and C6 acting faithfully286Dic7:C6168,11
D4×C7⋊C3Direct product of D4 and C7⋊C3286D4xC7:C3168,20
C7×S4Direct product of C7 and S4283C7xS4168,45
C7⋊S4The semidirect product of C7 and S4 acting via S4/A4=C2286+C7:S4168,46
C22×F7Direct product of C22 and F728C2^2xF7168,47
A4×D7Direct product of A4 and D7286+A4xD7168,48
D7⋊A4The semidirect product of D7 and A4 acting via A4/C22=C3286+D7:A4168,49

Groups of order 196

dρLabelID
C7×Dic7Direct product of C7 and Dic7282C7xDic7196,5
D7×C14Direct product of C14 and D7282D7xC14196,10

Groups of order 224

dρLabelID
C4×F8Direct product of C4 and F8287C4xF8224,173
C22×F8Direct product of C22 and F828C2^2xF8224,195

Groups of order 252

dρLabelID
A4×C7⋊C3Direct product of A4 and C7⋊C3289A4xC7:C3252,27

Groups of order 336

dρLabelID
D4×F7Direct product of D4 and F7; = Aut(D28) = Hol(C28)2812+D4xF7336,125
D7×S4Direct product of D7 and S4286+D7xS4336,212

Groups of order 392

dρLabelID
Dic72D7The semidirect product of Dic7 and D7 acting through Inn(Dic7)284+Dic7:2D7392,19
C7⋊D28The semidirect product of C7 and D28 acting via D28/D14=C2284+C7:D28392,21
C7×C7⋊D4Direct product of C7 and C7⋊D4282C7xC7:D4392,27
C72⋊C8The semidirect product of C72 and C8 acting faithfully288+C7^2:C8392,36
C72⋊Q8The semidirect product of C72 and Q8 acting faithfully288+C7^2:Q8392,38
C2×C72⋊C4Direct product of C2 and C72⋊C4284+C2xC7^2:C4392,40
C2×D72Direct product of C2, D7 and D7284+C2xD7^2392,41

Groups of order 448

dρLabelID
C43⋊C7The semidirect product of C43 and C7 acting faithfully287C4^3:C7448,178
D4×F8Direct product of D4 and F82814+D4xF8448,1363
C26⋊C72nd semidirect product of C26 and C7 acting faithfully28C2^6:C7448,1393

On 29 points

Groups of order 29

dρLabelID
C29Cyclic group291C2929,1

Groups of order 58

dρLabelID
D29Dihedral group292+D2958,1

Groups of order 116

dρLabelID
C29⋊C4The semidirect product of C29 and C4 acting faithfully294+C29:C4116,3

Groups of order 203

dρLabelID
C29⋊C7The semidirect product of C29 and C7 acting faithfully297C29:C7203,1

Groups of order 406

dρLabelID
C29⋊C14The semidirect product of C29 and C14 acting faithfully2914+C29:C14406,1

On 30 points

Groups of order 30

dρLabelID
C30Cyclic group301C3030,4

Groups of order 60

dρLabelID
C6×D5Direct product of C6 and D5302C6xD560,10
S3×C10Direct product of C10 and S3302S3xC1060,11
D30Dihedral group; = C2×D15302+D3060,12

Groups of order 90

dρLabelID
S3×C15Direct product of C15 and S3302S3xC1590,6
C3×D15Direct product of C3 and D15302C3xD1590,7

Groups of order 120

dρLabelID
C6×F5Direct product of C6 and F5304C6xF5120,40
C2×C3⋊F5Direct product of C2 and C3⋊F5304C2xC3:F5120,41
C2×S3×D5Direct product of C2, S3 and D5304+C2xS3xD5120,42
C10×A4Direct product of C10 and A4303C10xA4120,43

Groups of order 150

dρLabelID
C2×C52⋊C3Direct product of C2 and C52⋊C3303C2xC5^2:C3150,7
D5×C15Direct product of C15 and D5302D5xC15150,8
C5×D15Direct product of C5 and D15302C5xD15150,11

Groups of order 180

dρLabelID
C3×C3⋊F5Direct product of C3 and C3⋊F5304C3xC3:F5180,21
C5×C32⋊C4Direct product of C5 and C32⋊C4304C5xC3^2:C4180,23
C32⋊Dic5The semidirect product of C32 and Dic5 acting via Dic5/C5=C4304C3^2:Dic5180,24
C32⋊F5The semidirect product of C32 and F5 acting via F5/C5=C4304+C3^2:F5180,25
C3×S3×D5Direct product of C3, S3 and D5304C3xS3xD5180,26
C5×S32Direct product of C5, S3 and S3304C5xS3^2180,28
S3×D15Direct product of S3 and D15304+S3xD15180,29
D15⋊S3The semidirect product of D15 and S3 acting via S3/C3=C2304D15:S3180,30

Groups of order 240

dρLabelID
C2×S3×F5Direct product of C2, S3 and F5; = Aut(D30) = Hol(C30)308+C2xS3xF5240,195
C10×S4Direct product of C10 and S4303C10xS4240,196
C2×C5⋊S4Direct product of C2 and C5⋊S4306+C2xC5:S4240,197
C2×D5×A4Direct product of C2, D5 and A4306+C2xD5xA4240,198
C3×C24⋊C5Direct product of C3 and C24⋊C5305C3xC2^4:C5240,199

Groups of order 300

dρLabelID
C2×C52⋊S3Direct product of C2 and C52⋊S3303C2xC5^2:S3300,26
C2×C52⋊C6Direct product of C2 and C52⋊C6306+C2xC5^2:C6300,27
C3×C52⋊C4Direct product of C3 and C52⋊C4304C3xC5^2:C4300,31
C152F52nd semidirect product of C15 and F5 acting via F5/C5=C4304C15:2F5300,35
C3×D52Direct product of C3, D5 and D5304C3xD5^2300,36
C5×S3×D5Direct product of C5, S3 and D5304C5xS3xD5300,37
D5×D15Direct product of D5 and D15304+D5xD15300,39
D15⋊D5The semidirect product of D15 and D5 acting via D5/C5=C2304D15:D5300,40
C52⋊A4The semidirect product of C52 and A4 acting via A4/C22=C3303C5^2:A4300,43

Groups of order 360

dρLabelID
C6×A5Direct product of C6 and A5303C6xA5360,122
C3×S3×F5Direct product of C3, S3 and F5308C3xS3xF5360,126
S3×C3⋊F5Direct product of S3 and C3⋊F5308S3xC3:F5360,128
C3⋊F5⋊S3The semidirect product of C3⋊F5 and S3 acting via S3/C3=C2308+C3:F5:S3360,129
D5×C32⋊C4Direct product of D5 and C32⋊C4308+D5xC3^2:C4360,130
C32⋊F5⋊C2The semidirect product of C32⋊F5 and C2 acting faithfully308+C3^2:F5:C2360,131
C5×S3≀C2Direct product of C5 and S3≀C2304C5xS3wrC2360,132
S32⋊D5The semidirect product of S32 and D5 acting via D5/C5=C2304S3^2:D5360,133
C32⋊D20The semidirect product of C32 and D20 acting via D20/C5=D4308+C3^2:D20360,134
S32×D5Direct product of S3, S3 and D5308+S3^2xD5360,137

Groups of order 450

dρLabelID
C15×D15Direct product of C15 and D15302C15xD15450,29

Groups of order 480

dρLabelID
C2×F16Direct product of C2 and F163015+C2xF16480,1190
C2×A4⋊F5Direct product of C2 and A4⋊F53012+C2xA4:F5480,1191
C2×A4×F5Direct product of C2, A4 and F53012+C2xA4xF5480,1192
C2×D5×S4Direct product of C2, D5 and S4306+C2xD5xS4480,1193
C3×C24⋊D5Direct product of C3 and C24⋊D5305C3xC2^4:D5480,1194
C24⋊D15The semidirect product of C24 and D15 acting via D15/C3=D53010+C2^4:D15480,1195
S3×C24⋊C5Direct product of S3 and C24⋊C53010+S3xC2^4:C5480,1196
C6×C24⋊C5Direct product of C6 and C24⋊C5305C6xC2^4:C5480,1204

On 31 points

Groups of order 31

dρLabelID
C31Cyclic group311C3131,1

Groups of order 62

dρLabelID
D31Dihedral group312+D3162,1

Groups of order 93

dρLabelID
C31⋊C3The semidirect product of C31 and C3 acting faithfully313C31:C393,1

Groups of order 155

dρLabelID
C31⋊C5The semidirect product of C31 and C5 acting faithfully315C31:C5155,1

Groups of order 186

dρLabelID
C31⋊C6The semidirect product of C31 and C6 acting faithfully316+C31:C6186,1

Groups of order 310

dρLabelID
C31⋊C10The semidirect product of C31 and C10 acting faithfully3110+C31:C10310,1

Groups of order 465

dρLabelID
C31⋊C15The semidirect product of C31 and C15 acting faithfully3115C31:C15465,1

On 32 points

Groups of order 32

dρLabelID
C32Cyclic group321C3232,1
C2.C421st central stem extension by C2 of C4232C2.C4^232,2
C4×C8Abelian group of type [4,8]32C4xC832,3
C8⋊C43rd semidirect product of C8 and C4 acting via C4/C2=C232C8:C432,4
Q8⋊C41st semidirect product of Q8 and C4 acting via C4/C2=C232Q8:C432,10
C4⋊C8The semidirect product of C4 and C8 acting via C8/C4=C232C4:C832,12
C4.Q81st non-split extension by C4 of Q8 acting via Q8/C4=C232C4.Q832,13
C2.D82nd central extension by C2 of D832C2.D832,14
C2×C16Abelian group of type [2,16]32C2xC1632,16
Q32Generalised quaternion group; = C16.C2 = Dic8322-Q3232,20
C2×C42Abelian group of type [2,4,4]32C2xC4^232,21
C2×C4⋊C4Direct product of C2 and C4⋊C432C2xC4:C432,23
C4×Q8Direct product of C4 and Q832C4xQ832,26
C42.C24th non-split extension by C42 of C2 acting faithfully32C4^2.C232,32
C4⋊Q8The semidirect product of C4 and Q8 acting via Q8/C4=C232C4:Q832,35
C22×C8Abelian group of type [2,2,8]32C2^2xC832,36
C2×Q16Direct product of C2 and Q1632C2xQ1632,41
C23×C4Abelian group of type [2,2,2,4]32C2^3xC432,45
C22×Q8Direct product of C22 and Q832C2^2xQ832,47
C25Elementary abelian group of type [2,2,2,2,2]32C2^532,51

Groups of order 64

dρLabelID
C22.M4(2)2nd non-split extension by C22 of M4(2) acting via M4(2)/C2×C4=C232C2^2.M4(2)64,5
D4⋊C8The semidirect product of D4 and C8 acting via C8/C4=C232D4:C864,6
C42.C221st non-split extension by C42 of C22 acting faithfully32C4^2.C2^264,10
C4.D81st non-split extension by C4 of D8 acting via D8/D4=C232C4.D864,12
C4.C423rd non-split extension by C4 of C42 acting via C42/C2×C4=C232C4.C4^264,22
C22.C422nd non-split extension by C22 of C42 acting via C42/C2×C4=C232C2^2.C4^264,24
C22⋊C16The semidirect product of C22 and C16 acting via C16/C8=C232C2^2:C1664,29
D4.C8The non-split extension by D4 of C8 acting via C8/C4=C2322D4.C864,31
C2.D161st central extension by C2 of D1632C2.D1664,38
D8.C41st non-split extension by D8 of C4 acting via C4/C2=C2322D8.C464,40
C8.17D44th non-split extension by C8 of D4 acting via D4/C22=C2324-C8.17D464,43
C8.4Q83rd non-split extension by C8 of Q8 acting via Q8/C4=C2322C8.4Q864,49
M6(2)Modular maximal-cyclic group; = C323C2322M6(2)64,51
D32Dihedral group322+D3264,52
SD64Semidihedral group; = C322C2 = QD64322SD6464,53
C4×C22⋊C4Direct product of C4 and C22⋊C432C4xC2^2:C464,58
C23.7Q82nd non-split extension by C23 of Q8 acting via Q8/C4=C232C2^3.7Q864,61
C23.34D45th non-split extension by C23 of D4 acting via D4/C22=C232C2^3.34D464,62
C23.8Q83rd non-split extension by C23 of Q8 acting via Q8/C4=C232C2^3.8Q864,66
C23.23D42nd non-split extension by C23 of D4 acting via D4/C4=C232C2^3.23D464,67
C24.C222nd non-split extension by C24 of C22 acting faithfully32C2^4.C2^264,69
C24.3C223rd non-split extension by C24 of C22 acting faithfully32C2^4.3C2^264,71
C232D41st semidirect product of C23 and D4 acting via D4/C2=C2232C2^3:2D464,73
C23⋊Q81st semidirect product of C23 and Q8 acting via Q8/C2=C2232C2^3:Q864,74
C23.10D43rd non-split extension by C23 of D4 acting via D4/C2=C2232C2^3.10D464,75
C23.Q83rd non-split extension by C23 of Q8 acting via Q8/C2=C2232C2^3.Q864,77
C23.11D44th non-split extension by C23 of D4 acting via D4/C2=C2232C2^3.11D464,78
C23.4Q84th non-split extension by C23 of Q8 acting via Q8/C2=C2232C2^3.4Q864,80
C4×M4(2)Direct product of C4 and M4(2)32C4xM4(2)64,85
C82M4(2)Central product of C8 and M4(2)32C8o2M4(2)64,86
C2×C22⋊C8Direct product of C2 and C22⋊C832C2xC2^2:C864,87
(C22×C8)⋊C22nd semidirect product of C22×C8 and C2 acting faithfully32(C2^2xC8):C264,89
C2×C4.10D4Direct product of C2 and C4.10D432C2xC4.10D464,93
C2×D4⋊C4Direct product of C2 and D4⋊C432C2xD4:C464,95
C23.24D43rd non-split extension by C23 of D4 acting via D4/C4=C232C2^3.24D464,97
C23.36D47th non-split extension by C23 of D4 acting via D4/C22=C232C2^3.36D464,98
C23.38D49th non-split extension by C23 of D4 acting via D4/C22=C232C2^3.38D464,100
C4⋊M4(2)The semidirect product of C4 and M4(2) acting via M4(2)/C2×C4=C232C4:M4(2)64,104
C42.6C226th non-split extension by C42 of C22 acting faithfully32C4^2.6C2^264,105
C23.25D44th non-split extension by C23 of D4 acting via D4/C4=C232C2^3.25D464,108
M4(2)⋊C41st semidirect product of M4(2) and C4 acting via C4/C2=C232M4(2):C464,109
C2×C8.C4Direct product of C2 and C8.C432C2xC8.C464,110
C42.12C49th non-split extension by C42 of C4 acting via C4/C2=C232C4^2.12C464,112
C42.6C43rd non-split extension by C42 of C4 acting via C4/C2=C232C4^2.6C464,113
C42.7C227th non-split extension by C42 of C22 acting faithfully32C4^2.7C2^264,114
C8×D4Direct product of C8 and D432C8xD464,115
C89D43rd semidirect product of C8 and D4 acting via D4/C22=C232C8:9D464,116
C86D43rd semidirect product of C8 and D4 acting via D4/C4=C232C8:6D464,117
C4×D8Direct product of C4 and D832C4xD864,118
C4×SD16Direct product of C4 and SD1632C4xSD1664,119
SD16⋊C41st semidirect product of SD16 and C4 acting via C4/C2=C232SD16:C464,121
D8⋊C43rd semidirect product of D8 and C4 acting via C4/C2=C2; = Aut(SD32)32D8:C464,123
Q8⋊D41st semidirect product of Q8 and D4 acting via D4/C22=C232Q8:D464,129
D4⋊D42nd semidirect product of D4 and D4 acting via D4/C22=C232D4:D464,130
C22⋊Q16The semidirect product of C22 and Q16 acting via Q16/Q8=C232C2^2:Q1664,132
D4.7D42nd non-split extension by D4 of D4 acting via D4/C22=C232D4.7D464,133
C4⋊D8The semidirect product of C4 and D8 acting via D8/D4=C232C4:D864,140
C4⋊SD16The semidirect product of C4 and SD16 acting via SD16/Q8=C232C4:SD1664,141
D4.D41st non-split extension by D4 of D4 acting via D4/C4=C232D4.D464,142
D4.2D42nd non-split extension by D4 of D4 acting via D4/C4=C232D4.2D464,144
Q8.D42nd non-split extension by Q8 of D4 acting via D4/C4=C232Q8.D464,145
C88D42nd semidirect product of C8 and D4 acting via D4/C22=C232C8:8D464,146
C87D41st semidirect product of C8 and D4 acting via D4/C22=C232C8:7D464,147
C8.18D45th non-split extension by C8 of D4 acting via D4/C22=C232C8.18D464,148
C8⋊D41st semidirect product of C8 and D4 acting via D4/C2=C2232C8:D464,149
C82D42nd semidirect product of C8 and D4 acting via D4/C2=C2232C8:2D464,150
C8.D41st non-split extension by C8 of D4 acting via D4/C2=C2232C8.D464,151
D4.5D45th non-split extension by D4 of D4 acting via D4/C4=C2324-D4.5D464,154
D4⋊Q81st semidirect product of D4 and Q8 acting via Q8/C4=C232D4:Q864,155
D42Q82nd semidirect product of D4 and Q8 acting via Q8/C4=C232D4:2Q864,157
D4.Q8The non-split extension by D4 of Q8 acting via Q8/C4=C232D4.Q864,159
C22.D83rd non-split extension by C22 of D8 acting via D8/D4=C232C2^2.D864,161
C23.46D417th non-split extension by C23 of D4 acting via D4/C22=C232C2^3.46D464,162
C23.19D412nd non-split extension by C23 of D4 acting via D4/C2=C2232C2^3.19D464,163
C23.47D418th non-split extension by C23 of D4 acting via D4/C22=C232C2^3.47D464,164
C23.48D419th non-split extension by C23 of D4 acting via D4/C22=C232C2^3.48D464,165
C23.20D413rd non-split extension by C23 of D4 acting via D4/C2=C2232C2^3.20D464,166
C4.4D84th non-split extension by C4 of D8 acting via D8/C8=C232C4.4D864,167
C42.78C2221st non-split extension by C42 of C22 acting via C22/C2=C232C4^2.78C2^264,169
C42.28C2228th non-split extension by C42 of C22 acting faithfully32C4^2.28C2^264,170
C42.29C2229th non-split extension by C42 of C22 acting faithfully32C4^2.29C2^264,171
C85D42nd semidirect product of C8 and D4 acting via D4/C4=C232C8:5D464,173
C84D41st semidirect product of C8 and D4 acting via D4/C4=C232C8:4D464,174
C8.12D48th non-split extension by C8 of D4 acting via D4/C4=C232C8.12D464,176
C83D43rd semidirect product of C8 and D4 acting via D4/C2=C2232C8:3D464,177
C8.2D42nd non-split extension by C8 of D4 acting via D4/C2=C2232C8.2D464,178
C2×M5(2)Direct product of C2 and M5(2)32C2xM5(2)64,184
D4○C16Central product of D4 and C16322D4oC1664,185
C2×D16Direct product of C2 and D1632C2xD1664,186
C2×SD32Direct product of C2 and SD3232C2xSD3264,187
C4○D16Central product of C4 and D16322C4oD1664,189
Q32⋊C22nd semidirect product of Q32 and C2 acting faithfully324-Q32:C264,191
C22×C22⋊C4Direct product of C22 and C22⋊C432C2^2xC2^2:C464,193
C2×C42⋊C2Direct product of C2 and C42⋊C232C2xC4^2:C264,195
C2×C4×D4Direct product of C2×C4 and D432C2xC4xD464,196
C4×C4○D4Direct product of C4 and C4○D432C4xC4oD464,198
C23.32C235th non-split extension by C23 of C23 acting via C23/C22=C232C2^3.32C2^364,200
C23.33C236th non-split extension by C23 of C23 acting via C23/C22=C232C2^3.33C2^364,201
C2×C4⋊D4Direct product of C2 and C4⋊D432C2xC4:D464,203
C2×C22⋊Q8Direct product of C2 and C22⋊Q832C2xC2^2:Q864,204
C2×C22.D4Direct product of C2 and C22.D432C2xC2^2.D464,205
C2×C4.4D4Direct product of C2 and C4.4D432C2xC4.4D464,207
C2×C422C2Direct product of C2 and C422C232C2xC4^2:2C264,209
C23.36C239th non-split extension by C23 of C23 acting via C23/C22=C232C2^3.36C2^364,210
C2×C41D4Direct product of C2 and C41D432C2xC4:1D464,211
C22.26C2412nd central stem extension by C22 of C2432C2^2.26C2^464,213
C23.37C2310th non-split extension by C23 of C23 acting via C23/C22=C232C2^3.37C2^364,214
C23.38C2311st non-split extension by C23 of C23 acting via C23/C22=C232C2^3.38C2^364,217
C22.31C2417th central stem extension by C22 of C2432C2^2.31C2^464,218
C22.33C2419th central stem extension by C22 of C2432C2^2.33C2^464,220
C22.34C2420th central stem extension by C22 of C2432C2^2.34C2^464,221
C22.35C2421st central stem extension by C22 of C2432C2^2.35C2^464,222
C22.36C2422nd central stem extension by C22 of C2432C2^2.36C2^464,223
C23.41C2314th non-split extension by C23 of C23 acting via C23/C22=C232C2^3.41C2^364,225
D46D42nd semidirect product of D4 and D4 acting through Inn(D4)32D4:6D464,228
Q85D41st semidirect product of Q8 and D4 acting through Inn(Q8)32Q8:5D464,229
D4×Q8Direct product of D4 and Q832D4xQ864,230
Q86D42nd semidirect product of Q8 and D4 acting through Inn(Q8)32Q8:6D464,231
C22.46C2432nd central stem extension by C22 of C2432C2^2.46C2^464,233
C22.47C2433rd central stem extension by C22 of C2432C2^2.47C2^464,234
D43Q8The semidirect product of D4 and Q8 acting through Inn(D4)32D4:3Q864,235
C22.49C2435th central stem extension by C22 of C2432C2^2.49C2^464,236
C22.50C2436th central stem extension by C22 of C2432C2^2.50C2^464,237
C22.53C2439th central stem extension by C22 of C2432C2^2.53C2^464,240
C22.56C2442nd central stem extension by C22 of C2432C2^2.56C2^464,243
C22.57C2443rd central stem extension by C22 of C2432C2^2.57C2^464,244
C22×M4(2)Direct product of C22 and M4(2)32C2^2xM4(2)64,247
C2×C8○D4Direct product of C2 and C8○D432C2xC8oD464,248
C22×D8Direct product of C22 and D832C2^2xD864,250
C22×SD16Direct product of C22 and SD1632C2^2xSD1664,251
C2×C4○D8Direct product of C2 and C4○D832C2xC4oD864,253
C2×C8.C22Direct product of C2 and C8.C2232C2xC8.C2^264,255
Q8○D8Central product of Q8 and D8324-Q8oD864,259
D4×C23Direct product of C23 and D432D4xC2^364,261
C22×C4○D4Direct product of C22 and C4○D432C2^2xC4oD464,263
C2×2- 1+4Direct product of C2 and 2- 1+432C2xES-(2,2)64,265

Groups of order 96

dρLabelID
Q8⋊Dic3The semidirect product of Q8 and Dic3 acting via Dic3/C2=S332Q8:Dic396,66
C4×SL2(𝔽3)Direct product of C4 and SL2(𝔽3)32C4xSL(2,3)96,69
C8.A4The central extension by C8 of A4322C8.A496,74
C2×CSU2(𝔽3)Direct product of C2 and CSU2(𝔽3)32C2xCSU(2,3)96,188
C4.S42nd non-split extension by C4 of S4 acting via S4/A4=C2324-C4.S496,191
C22×SL2(𝔽3)Direct product of C22 and SL2(𝔽3)32C2^2xSL(2,3)96,198
C2×C4.A4Direct product of C2 and C4.A432C2xC4.A496,200

Groups of order 128

dρLabelID
C421C81st semidirect product of C42 and C8 acting via C8/C2=C432C4^2:1C8128,6
C426C83rd semidirect product of C42 and C8 acting via C8/C4=C232C4^2:6C8128,8
C23.21C423rd non-split extension by C23 of C42 acting via C42/C2×C4=C232C2^3.21C4^2128,14
C24.46D41st non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.46D4128,16
C42.4Q84th non-split extension by C42 of Q8 acting via Q8/C2=C2232C4^2.4Q8128,17
C42.5Q85th non-split extension by C42 of Q8 acting via Q8/C2=C2232C4^2.5Q8128,18
C42.6Q86th non-split extension by C42 of Q8 acting via Q8/C2=C2232C4^2.6Q8128,20
C23.8D81st non-split extension by C23 of D8 acting via D8/C4=C2232C2^3.8D8128,21
C24.2Q81st non-split extension by C24 of Q8 acting via Q8/C2=C2232C2^4.2Q8128,25
C23.30D81st non-split extension by C23 of D8 acting via D8/D4=C232C2^3.30D8128,26
C24.48D43rd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.48D4128,29
C24.3Q82nd non-split extension by C24 of Q8 acting via Q8/C2=C2232C2^4.3Q8128,30
C42.9Q89th non-split extension by C42 of Q8 acting via Q8/C2=C2232C4^2.9Q8128,32
C42.10Q810th non-split extension by C42 of Q8 acting via Q8/C2=C2232C4^2.10Q8128,35
C23.C422nd non-split extension by C23 of C42 acting via C42/C22=C2232C2^3.C4^2128,37
C23.8C423rd non-split extension by C23 of C42 acting via C42/C22=C2232C2^3.8C4^2128,38
C23⋊C16The semidirect product of C23 and C16 acting via C16/C4=C432C2^3:C16128,46
C23.15M4(2)2nd non-split extension by C23 of M4(2) acting via M4(2)/C22=C432C2^3.15M4(2)128,49
(C2×D4)⋊C82nd semidirect product of C2×D4 and C8 acting via C8/C2=C432(C2xD4):C8128,50
(C2×C42).C46th non-split extension by C2×C42 of C4 acting faithfully32(C2xC4^2).C4128,51
C23.1M4(2)1st non-split extension by C23 of M4(2) acting via M4(2)/C4=C4324C2^3.1M4(2)128,53
C42⋊C82nd semidirect product of C42 and C8 acting via C8/C2=C432C4^2:C8128,56
C423C83rd semidirect product of C42 and C8 acting via C8/C2=C432C4^2:3C8128,57
C23.2M4(2)2nd non-split extension by C23 of M4(2) acting via M4(2)/C4=C432C2^3.2M4(2)128,58
C22⋊C4.C8The non-split extension by C22⋊C4 of C8 acting via C8/C2=C4324C2^2:C4.C8128,60
C23.2D82nd non-split extension by C23 of D8 acting via D8/C2=D4328-C2^3.2D8128,72
C23.2SD162nd non-split extension by C23 of SD16 acting via SD16/C2=D4328-C2^3.2SD16128,74
C23.4D84th non-split extension by C23 of D8 acting via D8/C2=D432C2^3.4D8128,76
C2.C2≀C42nd central stem extension by C2 of C2≀C432C2.C2wrC4128,77
(C2×C4).D84th non-split extension by C2×C4 of D8 acting via D8/C2=D432(C2xC4).D8128,78
C22.SD321st non-split extension by C22 of SD32 acting via SD32/Q16=C232C2^2.SD32128,79
C23.32D83rd non-split extension by C23 of D8 acting via D8/D4=C232C2^3.32D8128,80
C23.Q161st non-split extension by C23 of Q16 acting via Q16/C2=D432C2^3.Q16128,83
C24.4D44th non-split extension by C24 of D4 acting faithfully32C2^4.4D4128,84
(C2×C4).Q161st non-split extension by C2×C4 of Q16 acting via Q16/C2=D432(C2xC4).Q16128,85
C2.7C2≀C44th central stem extension by C2 of C2≀C432C2.7C2wrC4128,86
C42.(C2×C4)2nd non-split extension by C42 of C2×C4 acting faithfully328-C4^2.(C2xC4)128,88
C8.25D82nd non-split extension by C8 of D8 acting via D8/D4=C2324-C8.25D8128,90
C8.1Q161st non-split extension by C8 of Q16 acting via Q16/C4=C22324C8.1Q16128,98
C16.C81st non-split extension by C16 of C8 acting via C8/C2=C4324C16.C8128,101
C16.3C81st non-split extension by C16 of C8 acting via C8/C4=C2322C16.3C8128,105
C42.2C82nd non-split extension by C42 of C8 acting via C8/C2=C432C4^2.2C8128,107
C42.7C84th non-split extension by C42 of C8 acting via C8/C4=C232C4^2.7C8128,108
M4(2).C82nd non-split extension by M4(2) of C8 acting via C8/C4=C2324M4(2).C8128,110
C8.11C425th non-split extension by C8 of C42 acting via C42/C2×C4=C232C8.11C4^2128,115
C23.9D82nd non-split extension by C23 of D8 acting via D8/C4=C22324C2^3.9D8128,116
C8.13C427th non-split extension by C8 of C42 acting via C42/C2×C4=C2324C8.13C4^2128,117
C8.C421st non-split extension by C8 of C42 acting via C42/C22=C2232C8.C4^2128,118
M5(2).C42nd non-split extension by M5(2) of C4 acting via C4/C2=C2324M5(2).C4128,120
C8.4C424th non-split extension by C8 of C42 acting via C42/C22=C22324C8.4C4^2128,121
C24.5D45th non-split extension by C24 of D4 acting faithfully32C2^4.5D4128,122
C23.2C422nd non-split extension by C23 of C42 acting via C42/C4=C4324C2^3.2C4^2128,123
C23.3C423rd non-split extension by C23 of C42 acting via C42/C4=C4324C2^3.3C4^2128,124
C24.6D46th non-split extension by C24 of D4 acting faithfully32C2^4.6D4128,125
(C2×Q8).Q82nd non-split extension by C2×Q8 of Q8 acting via Q8/C2=C2232(C2xQ8).Q8128,126
(C22×C8)⋊C44th semidirect product of C22×C8 and C4 acting faithfully324(C2^2xC8):C4128,127
C32⋊C42nd semidirect product of C32 and C4 acting faithfully324C32:C4128,130
C23.C16The non-split extension by C23 of C16 acting via C16/C4=C4324C2^3.C16128,132
(C2×D4).D44th non-split extension by C2×D4 of D4 acting faithfully328-(C2xD4).D4128,139
(C2×Q8).D46th non-split extension by C2×Q8 of D4 acting faithfully324-(C2xQ8).D4128,143
C8⋊C4.C43rd non-split extension by C8⋊C4 of C4 acting faithfully328-C8:C4.C4128,145
(C4×C8)⋊C43rd semidirect product of C4×C8 and C4 acting faithfully324(C4xC8):C4128,146
D163C42nd semidirect product of D16 and C4 acting via C4/C2=C2324D16:3C4128,150
M6(2)⋊C26th semidirect product of M6(2) and C2 acting faithfully324+M6(2):C2128,151
C8.C161st non-split extension by C8 of C16 acting via C16/C8=C2322C8.C16128,154
C8.Q162nd non-split extension by C8 of Q16 acting via Q16/C4=C22324C8.Q16128,158
C2×C23⋊C8Direct product of C2 and C23⋊C832C2xC2^3:C8128,188
C42.371D44th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.371D4128,190
C23.8M4(2)4th non-split extension by C23 of M4(2) acting via M4(2)/C4=C2232C2^3.8M4(2)128,191
C42.393D426th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.393D4128,192
(C2×C4)⋊M4(2)The semidirect product of C2×C4 and M4(2) acting via M4(2)/C22=C432(C2xC4):M4(2)128,195
C42.42D424th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.42D4128,196
C23⋊M4(2)The semidirect product of C23 and M4(2) acting via M4(2)/C4=C432C2^3:M4(2)128,197
C42.43D425th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.43D4128,198
C23⋊C8⋊C215th semidirect product of C23⋊C8 and C2 acting faithfully32C2^3:C8:C2128,200
C42.395D428th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.395D4128,201
C24.(C2×C4)3rd non-split extension by C24 of C2×C4 acting faithfully32C2^4.(C2xC4)128,203
C24.45(C2×C4)10th non-split extension by C24 of C2×C4 acting via C2×C4/C2=C2232C2^4.45(C2xC4)128,204
C42.372D45th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.372D4128,205
C42.398D431st non-split extension by C42 of D4 acting via D4/C22=C232C4^2.398D4128,210
D4⋊M4(2)1st semidirect product of D4 and M4(2) acting via M4(2)/C2×C4=C232D4:M4(2)128,218
D45M4(2)3rd semidirect product of D4 and M4(2) acting via M4(2)/C2×C4=C232D4:5M4(2)128,222
C2×C22.SD16Direct product of C2 and C22.SD1632C2xC2^2.SD16128,230
C2×C23.31D4Direct product of C2 and C23.31D432C2xC2^3.31D4128,231
C42.375D48th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.375D4128,232
C24.53D48th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.53D4128,233
C42.403D436th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.403D4128,234
C42.404D437th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.404D4128,235
C42.55D437th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.55D4128,237
C42.56D438th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.56D4128,238
C24.54D49th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.54D4128,239
C24.55D410th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.55D4128,240
C42.57D439th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.57D4128,241
C24.56D411st non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.56D4128,242
C24.57D412nd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.57D4128,243
C42.58D440th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.58D4128,244
C24.58D413rd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.58D4128,245
C42.59D441st non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.59D4128,246
C42.60D442nd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.60D4128,247
C24.59D414th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.59D4128,248
C42.61D443rd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.61D4128,249
C42.62D444th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.62D4128,250
C24.60D415th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.60D4128,251
C24.61D416th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.61D4128,252
C42.63D445th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.63D4128,253
C42.407D440th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.407D4128,259
C42.70D452nd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.70D4128,265
C42.413D446th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.413D4128,277
C42.82D464th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.82D4128,287
C4⋊C4.D41st non-split extension by C4⋊C4 of D4 acting faithfully32C4:C4.D4128,329
(C2×C4)⋊D8The semidirect product of C2×C4 and D8 acting via D8/C2=D432(C2xC4):D8128,330
(C2×C4)⋊SD161st semidirect product of C2×C4 and SD16 acting via SD16/C2=D432(C2xC4):SD16128,331
C232SD162nd semidirect product of C23 and SD16 acting via SD16/C2=D432C2^3:2SD16128,333
C23⋊Q16The semidirect product of C23 and Q16 acting via Q16/C2=D432C2^3:Q16128,334
C4⋊C4.6D46th non-split extension by C4⋊C4 of D4 acting faithfully32C4:C4.6D4128,335
Q8⋊D4⋊C226th semidirect product of Q8⋊D4 and C2 acting faithfully32Q8:D4:C2128,336
(C2×C4)⋊Q16The semidirect product of C2×C4 and Q16 acting via Q16/C2=D432(C2xC4):Q16128,337
C24.12D412nd non-split extension by C24 of D4 acting faithfully32C2^4.12D4128,338
C23.5D85th non-split extension by C23 of D8 acting via D8/C2=D432C2^3.5D8128,339
C24.14D414th non-split extension by C24 of D4 acting faithfully32C2^4.14D4128,340
C4⋊C4.12D412nd non-split extension by C4⋊C4 of D4 acting faithfully32C4:C4.12D4128,341
(C2×C4).5D85th non-split extension by C2×C4 of D8 acting via D8/C2=D432(C2xC4).5D8128,342
(C2×C4).SD167th non-split extension by C2×C4 of SD16 acting via SD16/C2=D432(C2xC4).SD16128,343
C24.15D415th non-split extension by C24 of D4 acting faithfully32C2^4.15D4128,344
C24.16D416th non-split extension by C24 of D4 acting faithfully32C2^4.16D4128,345
C24.17D417th non-split extension by C24 of D4 acting faithfully32C2^4.17D4128,346
C4⋊C4.18D418th non-split extension by C4⋊C4 of D4 acting faithfully32C4:C4.18D4128,347
C4⋊C4.19D419th non-split extension by C4⋊C4 of D4 acting faithfully32C4:C4.19D4128,348
C4⋊C4.20D420th non-split extension by C4⋊C4 of D4 acting faithfully32C4:C4.20D4128,349
C24.18D418th non-split extension by C24 of D4 acting faithfully32C2^4.18D4128,350
D4⋊D81st semidirect product of D4 and D8 acting via D8/D4=C232D4:D8128,351
D42SD161st semidirect product of D4 and SD16 acting via SD16/D4=C232D4:2SD16128,361
D4.D81st non-split extension by D4 of D8 acting via D8/D4=C232D4.D8128,371
C42.C231st non-split extension by C42 of C23 acting faithfully32C4^2.C2^3128,387
C42.5C235th non-split extension by C42 of C23 acting faithfully32C4^2.5C2^3128,391
C2×C4.9C42Direct product of C2 and C4.9C4232C2xC4.9C4^2128,462
C2×C4.10C42Direct product of C2 and C4.10C4232C2xC4.10C4^2128,463
C2×C426C4Direct product of C2 and C426C432C2xC4^2:6C4128,464
C24.63D418th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.63D4128,465
C24.7Q86th non-split extension by C24 of Q8 acting via Q8/C2=C2232C2^4.7Q8128,470
C2×C23.9D4Direct product of C2 and C23.9D432C2xC2^3.9D4128,471
C24.162C232nd non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.162C2^3128,472
C23.15C4210th non-split extension by C23 of C42 acting via C42/C22=C2232C2^3.15C4^2128,474
C2×M4(2)⋊4C4Direct product of C2 and M4(2)⋊4C432C2xM4(2):4C4128,475
C8.16C4210th non-split extension by C8 of C42 acting via C42/C2×C4=C2324C8.16C4^2128,479
C4×C23⋊C4Direct product of C4 and C23⋊C432C4xC2^3:C4128,486
C4×C4.D4Direct product of C4 and C4.D432C4xC4.D4128,487
C23.5C425th non-split extension by C23 of C42 acting via C42/C4=C4324C2^3.5C4^2128,489
C4×C4≀C2Direct product of C4 and C4≀C232C4xC4wrC2128,490
D4.C421st non-split extension by D4 of C42 acting via C42/C2×C4=C232D4.C4^2128,491
Q8.C422nd non-split extension by Q8 of C42 acting via C42/C2×C4=C232Q8.C4^2128,496
D4.3C423rd non-split extension by D4 of C42 acting via C42/C2×C4=C232D4.3C4^2128,497
C8.14C428th non-split extension by C8 of C42 acting via C42/C2×C4=C232C8.14C4^2128,504
C8.5C425th non-split extension by C8 of C42 acting via C42/C22=C2232C8.5C4^2128,505
C243C81st semidirect product of C24 and C8 acting via C8/C4=C232C2^4:3C8128,511
C24.165C235th non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.165C2^3128,514
C4.C22≀C22nd non-split extension by C4 of C22≀C2 acting via C22≀C2/C2×D4=C232C4.C2^2wrC2128,516
(C23×C4).C420th non-split extension by C23×C4 of C4 acting faithfully32(C2^3xC4).C4128,517
C23.35D86th non-split extension by C23 of D8 acting via D8/D4=C232C2^3.35D8128,518
C24.66D421st non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.66D4128,521
2+ 1+42C41st semidirect product of 2+ 1+4 and C4 acting via C4/C2=C232ES+(2,2):2C4128,522
2+ 1+4.2C4The non-split extension by 2+ 1+4 of C4 acting via C4/C2=C2324ES+(2,2).2C4128,523
2+ 1+43C42nd semidirect product of 2+ 1+4 and C4 acting via C4/C2=C232ES+(2,2):3C4128,524
2- 1+42C41st semidirect product of 2- 1+4 and C4 acting via C4/C2=C232ES-(2,2):2C4128,525
2+ 1+44C43rd semidirect product of 2+ 1+4 and C4 acting via C4/C2=C2324ES+(2,2):4C4128,526
(C22×Q8)⋊C46th semidirect product of C22×Q8 and C4 acting faithfully328-(C2^2xQ8):C4128,528
C24.167C237th non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.167C2^3128,531
C42.96D478th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.96D4128,532
C42.102D484th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.102D4128,538
C24.19Q83rd non-split extension by C24 of Q8 acting via Q8/C4=C232C2^4.19Q8128,542
C24.9Q88th non-split extension by C24 of Q8 acting via Q8/C2=C2232C2^4.9Q8128,543
(C2×D4).24Q85th non-split extension by C2×D4 of Q8 acting via Q8/C4=C2324(C2xD4).24Q8128,544
(C2×C8).103D471st non-split extension by C2×C8 of D4 acting via D4/C2=C22324(C2xC8).103D4128,545
C8○D4⋊C41st semidirect product of C8○D4 and C4 acting via C4/C2=C2324C8oD4:C4128,546
C24.169C239th non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.169C2^3128,552
(C22×C4).275D4160th non-split extension by C22×C4 of D4 acting via D4/C2=C2232(C2^2xC4).275D4128,553
(C22×C4).276D4161st non-split extension by C22×C4 of D4 acting via D4/C2=C2232(C2^2xC4).276D4128,554
C24.70D425th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.70D4128,558
(C2×Q8).211D419th non-split extension by C2×Q8 of D4 acting via D4/C22=C2328-(C2xQ8).211D4128,562
C8.(C4⋊C4)4th non-split extension by C8 of C4⋊C4 acting via C4⋊C4/C22=C22324C8.(C4:C4)128,565
C24.10Q89th non-split extension by C24 of Q8 acting via Q8/C2=C2232C2^4.10Q8128,587
C24.21D421st non-split extension by C24 of D4 acting faithfully32C2^4.21D4128,588
C4.10D42C41st semidirect product of C4.10D4 and C4 acting via C4/C2=C232C4.10D4:2C4128,589
M4(2).40D44th non-split extension by M4(2) of D4 acting via D4/C22=C2324M4(2).40D4128,590
C4≀C2⋊C41st semidirect product of C4≀C2 and C4 acting via C4/C2=C232C4wrC2:C4128,591
C429(C2×C4)4th semidirect product of C42 and C2×C4 acting via C2×C4/C2=C2232C4^2:9(C2xC4)128,592
M4(2).42D46th non-split extension by M4(2) of D4 acting via D4/C22=C232M4(2).42D4128,598
C24.22D422nd non-split extension by C24 of D4 acting faithfully32C2^4.22D4128,599
(C2×D4).Q89th non-split extension by C2×D4 of Q8 acting via Q8/C2=C22324(C2xD4).Q8128,600
C24.72D427th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.72D4128,603
M4(2).43D47th non-split extension by M4(2) of D4 acting via D4/C22=C232M4(2).43D4128,608
M4(2).44D48th non-split extension by M4(2) of D4 acting via D4/C22=C2324M4(2).44D4128,613
C8.C22⋊C42nd semidirect product of C8.C22 and C4 acting via C4/C2=C232C8.C2^2:C4128,614
C8⋊C22⋊C42nd semidirect product of C8⋊C22 and C4 acting via C4/C2=C232C8:C2^2:C4128,615
C24.23D423rd non-split extension by C24 of D4 acting faithfully32C2^4.23D4128,617
C4⋊Q815C410th semidirect product of C4⋊Q8 and C4 acting via C4/C2=C232C4:Q8:15C4128,618
C4.4D413C47th semidirect product of C4.4D4 and C4 acting via C4/C2=C232C4.4D4:13C4128,620
C24.26D426th non-split extension by C24 of D4 acting faithfully32C2^4.26D4128,622
C427D41st semidirect product of C42 and D4 acting via D4/C2=C2232C4^2:7D4128,629
C24.174C2314th non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.174C2^3128,631
M4(2)⋊20D47th semidirect product of M4(2) and D4 acting via D4/C22=C232M4(2):20D4128,632
M4(2).45D49th non-split extension by M4(2) of D4 acting via D4/C22=C232M4(2).45D4128,633
M4(2).46D410th non-split extension by M4(2) of D4 acting via D4/C22=C2328-M4(2).46D4128,634
C42.6D46th non-split extension by C42 of D4 acting faithfully328-C4^2.6D4128,637
M4(2).48D412nd non-split extension by M4(2) of D4 acting via D4/C22=C232M4(2).48D4128,639
C4.(C4×D4)5th non-split extension by C4 of C4×D4 acting via C4×D4/C42=C2328-C4.(C4xD4)128,641
C42.7D47th non-split extension by C42 of D4 acting faithfully328-C4^2.7D4128,644
M4(2).50D414th non-split extension by M4(2) of D4 acting via D4/C22=C2328-M4(2).50D4128,647
M4(2).3Q81st non-split extension by M4(2) of Q8 acting via Q8/C4=C232M4(2).3Q8128,654
M4(2).24D45th non-split extension by M4(2) of D4 acting via D4/C4=C232M4(2).24D4128,661
C4.D43C42nd semidirect product of C4.D4 and C4 acting via C4/C2=C232C4.D4:3C4128,663
C42.428D461st non-split extension by C42 of D4 acting via D4/C22=C232C4^2.428D4128,669
C42.107D489th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.107D4128,670
C42.62Q822nd non-split extension by C42 of Q8 acting via Q8/C4=C232C4^2.62Q8128,677
C42.28Q828th non-split extension by C42 of Q8 acting via Q8/C2=C2232C4^2.28Q8128,678
M4(2).27D48th non-split extension by M4(2) of D4 acting via D4/C4=C2324M4(2).27D4128,685
C43⋊C27th semidirect product of C43 and C2 acting faithfully32C4^3:C2128,694
C428D42nd semidirect product of C42 and D4 acting via D4/C2=C2232C4^2:8D4128,695
C24.175C2315th non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.175C2^3128,696
M4(2)⋊12D46th semidirect product of M4(2) and D4 acting via D4/C4=C232M4(2):12D4128,697
C42.115D497th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.115D4128,699
C42.326D422nd non-split extension by C42 of D4 acting via D4/C4=C232C4^2.326D4128,706
C42.116D498th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.116D4128,707
M4(2).30D411st non-split extension by M4(2) of D4 acting via D4/C4=C2324M4(2).30D4128,708
M4(2).31D412nd non-split extension by M4(2) of D4 acting via D4/C4=C232M4(2).31D4128,709
M4(2).32D413rd non-split extension by M4(2) of D4 acting via D4/C4=C232M4(2).32D4128,710
M4(2)⋊13D47th semidirect product of M4(2) and D4 acting via D4/C4=C232M4(2):13D4128,712
M4(2)⋊7Q85th semidirect product of M4(2) and Q8 acting via Q8/C4=C232M4(2):7Q8128,718
C4216Q83rd semidirect product of C42 and Q8 acting via Q8/C4=C232C4^2:16Q8128,726
C42⋊Q81st semidirect product of C42 and Q8 acting via Q8/C2=C2232C4^2:Q8128,727
C24.176C2316th non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.176C2^3128,728
C42.129D4111st non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.129D4128,735
C4210D44th semidirect product of C42 and D4 acting via D4/C2=C2232C4^2:10D4128,736
C42.130D4112nd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.130D4128,737
M4(2)⋊D43rd semidirect product of M4(2) and D4 acting via D4/C2=C2232M4(2):D4128,738
M4(2)⋊4D44th semidirect product of M4(2) and D4 acting via D4/C2=C2232M4(2):4D4128,739
M4(2).D43rd non-split extension by M4(2) of D4 acting via D4/C2=C22328-M4(2).D4128,741
(C2×C8).2D42nd non-split extension by C2×C8 of D4 acting faithfully324(C2xC8).2D4128,749
M4(2).4D44th non-split extension by M4(2) of D4 acting via D4/C2=C2232M4(2).4D4128,750
M4(2).5D45th non-split extension by M4(2) of D4 acting via D4/C2=C2232M4(2).5D4128,751
C24.31D431st non-split extension by C24 of D4 acting faithfully32C2^4.31D4128,754
(C2×D4)⋊2Q82nd semidirect product of C2×D4 and Q8 acting via Q8/C2=C2232(C2xD4):2Q8128,759
(C2×Q8)⋊2Q82nd semidirect product of C2×Q8 and Q8 acting via Q8/C2=C2232(C2xQ8):2Q8128,760
C24.180C2320th non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.180C2^3128,762
M4(2)⋊6D46th semidirect product of M4(2) and D4 acting via D4/C2=C2232M4(2):6D4128,769
M4(2).7D47th non-split extension by M4(2) of D4 acting via D4/C2=C2232M4(2).7D4128,770
C4211D45th semidirect product of C42 and D4 acting via D4/C2=C2232C4^2:11D4128,771
C4212D46th semidirect product of C42 and D4 acting via D4/C2=C2232C4^2:12D4128,772
C24.33D433rd non-split extension by C24 of D4 acting faithfully32C2^4.33D4128,776
C4⋊C4.96D451st non-split extension by C4⋊C4 of D4 acting via D4/C2=C2232C4:C4.96D4128,777
C4⋊C4.97D452nd non-split extension by C4⋊C4 of D4 acting via D4/C2=C2232C4:C4.97D4128,778
M4(2).9D49th non-split extension by M4(2) of D4 acting via D4/C2=C22328-M4(2).9D4128,781
M4(2).10D410th non-split extension by M4(2) of D4 acting via D4/C2=C2232M4(2).10D4128,783
C22⋊C4.7D45th non-split extension by C22⋊C4 of D4 acting via D4/C2=C22324C2^2:C4.7D4128,785
M4(2)⋊Q81st semidirect product of M4(2) and Q8 acting via Q8/C2=C2232M4(2):Q8128,792
C423Q83rd semidirect product of C42 and Q8 acting via Q8/C2=C2232C4^2:3Q8128,793
C24.182C2322nd non-split extension by C24 of C23 acting via C23/C2=C2232C2^4.182C2^3128,794
M4(2).12D412nd non-split extension by M4(2) of D4 acting via D4/C2=C2232M4(2).12D4128,795
M4(2).15D415th non-split extension by M4(2) of D4 acting via D4/C2=C22328-M4(2).15D4128,802
C42.9D49th non-split extension by C42 of D4 acting faithfully324C4^2.9D4128,812
(C2×C8).6D46th non-split extension by C2×C8 of D4 acting faithfully328-(C2xC8).6D4128,814
C42.10D410th non-split extension by C42 of D4 acting faithfully324C4^2.10D4128,830
C22⋊C4.Q81st non-split extension by C22⋊C4 of Q8 acting via Q8/C2=C22324C2^2:C4.Q8128,835
C2×C16⋊C4Direct product of C2 and C16⋊C432C2xC16:C4128,841
C8.23C424th central extension by C8 of C42324C8.23C4^2128,842
C24.5C82nd non-split extension by C24 of C8 acting via C8/C4=C232C2^4.5C8128,844
C2×C23.C8Direct product of C2 and C23.C832C2xC2^3.C8128,846
M5(2).19C226th non-split extension by M5(2) of C22 acting via C22/C2=C2324M5(2).19C2^2128,847
M5(2)⋊12C228th semidirect product of M5(2) and C22 acting via C22/C2=C2324M5(2):12C2^2128,849
C2×C23.D4Direct product of C2 and C23.D432C2xC2^3.D4128,851
C23.(C2×D4)6th non-split extension by C23 of C2×D4 acting via C2×D4/C2=D4328-C2^3.(C2xD4)128,855
C2×C423C4Direct product of C2 and C423C432C2xC4^2:3C4128,857
C4⋊Q8⋊C45th semidirect product of C4⋊Q8 and C4 acting faithfully328-C4:Q8:C4128,861
C2×C42.C4Direct product of C2 and C42.C432C2xC4^2.C4128,862
C2×C42.3C4Direct product of C2 and C42.3C432C2xC4^2.3C4128,863
C4⋊Q8.C45th non-split extension by C4⋊Q8 of C4 acting faithfully328-C4:Q8.C4128,865
(C2×D4).137D499th non-split extension by C2×D4 of D4 acting via D4/C2=C22328-(C2xD4).137D4128,867
C23.40D811st non-split extension by C23 of D8 acting via D8/D4=C232C2^3.40D8128,872
C23.20SD1610th non-split extension by C23 of SD16 acting via SD16/C4=C22324C2^3.20SD16128,875
C2×D82C4Direct product of C2 and D82C432C2xD8:2C4128,876
C23.13D86th non-split extension by C23 of D8 acting via D8/C4=C22324C2^3.13D8128,877
C2×M5(2)⋊C2Direct product of C2 and M5(2)⋊C232C2xM5(2):C2128,878
C23.21SD1611st non-split extension by C23 of SD16 acting via SD16/C4=C22324C2^3.21SD16128,880
C2×C8.C8Direct product of C2 and C8.C832C2xC8.C8128,884
M4(2).1C81st non-split extension by M4(2) of C8 acting via C8/C4=C2324M4(2).1C8128,885
C2×C8.Q8Direct product of C2 and C8.Q832C2xC8.Q8128,886
M5(2)⋊3C43rd semidirect product of M5(2) and C4 acting via C4/C2=C2324M5(2):3C4128,887
M5(2).1C41st non-split extension by M5(2) of C4 acting via C4/C2=C2324M5(2).1C4128,893
C8.19M4(2)7th non-split extension by C8 of M4(2) acting via M4(2)/C2×C4=C2324C8.19M4(2)128,898
C16○D8Central product of C16 and D8322C16oD8128,902
D8.C8The non-split extension by D8 of C8 acting via C8/C4=C2324D8.C8128,903
C8○D16Central product of C8 and D16322C8oD16128,910
D165C44th semidirect product of D16 and C4 acting via C4/C2=C2324D16:5C4128,911
Q32⋊C4The semidirect product of Q32 and C4 acting faithfully328-Q32:C4128,912
D87D41st semidirect product of D8 and D4 acting via D4/C22=C232D8:7D4128,916
D8.9D41st non-split extension by D8 of D4 acting via D4/C22=C232D8.9D4128,919
D8.D41st non-split extension by D8 of D4 acting via D4/C2=C22328-D8.D4128,923
Q16.10D43rd non-split extension by Q16 of D4 acting via D4/C22=C2324+Q16.10D4128,924
Q16.D42nd non-split extension by Q16 of D4 acting via D4/C2=C22324Q16.D4128,925
D8.3D43rd non-split extension by D8 of D4 acting via D4/C2=C22324D8.3D4128,926
C42.14D414th non-split extension by C42 of D4 acting faithfully328-C4^2.14D4128,933
C42.16D416th non-split extension by C42 of D4 acting faithfully328-C4^2.16D4128,935
C8.3D83rd non-split extension by C8 of D8 acting via D8/C4=C22324C8.3D8128,944
C8.5D85th non-split extension by C8 of D8 acting via D8/C4=C22324-C8.5D8128,946
D4.3D83rd non-split extension by D4 of D8 acting via D8/C8=C2324+D4.3D8128,953
D4.5D85th non-split extension by D4 of D8 acting via D8/C8=C2324D4.5D8128,955
D8.2Q82nd non-split extension by D8 of Q8 acting via Q8/C4=C2324D8.2Q8128,963
C23.10SD1610th non-split extension by C23 of SD16 acting via SD16/C2=D4328-C2^3.10SD16128,971
C32⋊C22The semidirect product of C32 and C22 acting faithfully324+C32:C2^2128,995
C23⋊C422nd semidirect product of C23 and C42 acting via C42/C22=C2232C2^3:C4^2128,1005
C2×C243C4Direct product of C2 and C243C432C2xC2^4:3C4128,1009
C25.85C226th non-split extension by C25 of C22 acting via C22/C2=C232C2^5.85C2^2128,1012
C4×C22≀C2Direct product of C4 and C22≀C232C4xC2^2wrC2128,1031
C24.90D445th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.90D4128,1040
C23.191C2444th central extension by C23 of C2432C2^3.191C2^4128,1041
C23.194C2447th central extension by C23 of C2432C2^3.194C2^4128,1044
C24.91D446th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.91D4128,1047
C23.203C2456th central extension by C23 of C2432C2^3.203C2^4128,1053
D4×C22⋊C4Direct product of D4 and C22⋊C432D4xC2^2:C4128,1070
C23.224C2477th central extension by C23 of C2432C2^3.224C2^4128,1074
C23.240C2493rd central extension by C23 of C2432C2^3.240C2^4128,1090
C23.257C24110th central extension by C23 of C2432C2^3.257C2^4128,1107
C247D42nd semidirect product of C24 and D4 acting via D4/C2=C2232C2^4:7D4128,1135
C23.304C2421st central stem extension by C23 of C2432C2^3.304C2^4128,1136
C24.94D449th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.94D4128,1137
C23.308C2425th central stem extension by C23 of C2432C2^3.308C2^4128,1140
C248D43rd semidirect product of C24 and D4 acting via D4/C2=C2232C2^4:8D4128,1142
C23.311C2428th central stem extension by C23 of C2432C2^3.311C2^4128,1143
C24.95D450th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.95D4128,1144
C23.318C2435th central stem extension by C23 of C2432C2^3.318C2^4128,1150
C23.324C2441st central stem extension by C23 of C2432C2^3.324C2^4128,1156
C23.333C2450th central stem extension by C23 of C2432C2^3.333C2^4128,1165
C23.335C2452nd central stem extension by C23 of C2432C2^3.335C2^4128,1167
C244Q83rd semidirect product of C24 and Q8 acting via Q8/C2=C2232C2^4:4Q8128,1169
C23.372C2489th central stem extension by C23 of C2432C2^3.372C2^4128,1204
C23.380C2497th central stem extension by C23 of C2432C2^3.380C2^4128,1212
C23.382C2499th central stem extension by C23 of C2432C2^3.382C2^4128,1214
C24.96D451st non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.96D4128,1215
C23.434C24151st central stem extension by C23 of C2432C2^3.434C2^4128,1266
C23.439C24156th central stem extension by C23 of C2432C2^3.439C2^4128,1271
C23.461C24178th central stem extension by C23 of C2432C2^3.461C2^4128,1293
C249D44th semidirect product of C24 and D4 acting via D4/C2=C2232C2^4:9D4128,1345
C2410D45th semidirect product of C24 and D4 acting via D4/C2=C2232C2^4:10D4128,1349
C24.97D452nd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.97D4128,1354
C245Q84th semidirect product of C24 and Q8 acting via Q8/C2=C2232C2^4:5Q8128,1358
C23.568C24285th central stem extension by C23 of C2432C2^3.568C2^4128,1400
C23.569C24286th central stem extension by C23 of C2432C2^3.569C2^4128,1401
C23.570C24287th central stem extension by C23 of C2432C2^3.570C2^4128,1402
C23.578C24295th central stem extension by C23 of C2432C2^3.578C2^4128,1410
C25⋊C222nd semidirect product of C25 and C22 acting faithfully32C2^5:C2^2128,1411
C23.584C24301st central stem extension by C23 of C2432C2^3.584C2^4128,1416
C23.585C24302nd central stem extension by C23 of C2432C2^3.585C2^4128,1417
C23.597C24314th central stem extension by C23 of C2432C2^3.597C2^4128,1429
C23.635C24352nd central stem extension by C23 of C2432C2^3.635C2^4128,1467
C23.636C24353rd central stem extension by C23 of C2432C2^3.636C2^4128,1468
C2411D46th semidirect product of C24 and D4 acting via D4/C2=C2232C2^4:11D4128,1544
C246Q85th semidirect product of C24 and Q8 acting via Q8/C2=C2232C2^4:6Q8128,1572
C24.15Q814th non-split extension by C24 of Q8 acting via Q8/C2=C2232C2^4.15Q8128,1574
C2413D41st semidirect product of C24 and D4 acting via D4/C4=C232C2^4:13D4128,1579
C248Q81st semidirect product of C24 and Q8 acting via Q8/C4=C232C2^4:8Q8128,1580
C24.166D421st non-split extension by C24 of D4 acting via D4/C22=C232C2^4.166D4128,1581
M4(2)○2M4(2)Central product of M4(2) and M4(2)32M4(2)o2M4(2)128,1605
C2×C24.4C4Direct product of C2 and C24.4C432C2xC2^4.4C4128,1609
C24.73(C2×C4)38th non-split extension by C24 of C2×C4 acting via C2×C4/C2=C2232C2^4.73(C2xC4)128,1611
D4○(C22⋊C8)Central product of D4 and C22⋊C832D4o(C2^2:C8)128,1612
C22×C23⋊C4Direct product of C22 and C23⋊C432C2^2xC2^3:C4128,1613
C2×C23.C23Direct product of C2 and C23.C2332C2xC2^3.C2^3128,1614
C23.4C244th non-split extension by C23 of C24 acting via C24/C22=C22328-C2^3.4C2^4128,1616
C22×C4.D4Direct product of C22 and C4.D432C2^2xC4.D4128,1617
C2×M4(2).8C22Direct product of C2 and M4(2).8C2232C2xM4(2).8C2^2128,1619
M4(2).25C237th non-split extension by M4(2) of C23 acting via C23/C22=C2328-M4(2).25C2^3128,1621
C2×C23.37D4Direct product of C2 and C23.37D432C2xC2^3.37D4128,1625
C24.98D453rd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.98D4128,1628
2+ 1+45C44th semidirect product of 2+ 1+4 and C4 acting via C4/C2=C232ES+(2,2):5C4128,1629
C22×C4≀C2Direct product of C22 and C4≀C232C2^2xC4wrC2128,1631
C2×C42⋊C22Direct product of C2 and C42⋊C2232C2xC4^2:C2^2128,1632
C42.257C23118th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.257C2^3128,1637
C24.100D455th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.100D4128,1643
C2×M4(2).C4Direct product of C2 and M4(2).C432C2xM4(2).C4128,1647
M4(2).29C2311st non-split extension by M4(2) of C23 acting via C23/C22=C2324M4(2).29C2^3128,1648
C42.677C2392nd non-split extension by C42 of C23 acting via C23/C22=C232C4^2.677C2^3128,1652
C42.259C23120th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.259C2^3128,1653
C42.262C23123rd non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.262C2^3128,1656
C42.264C23125th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.264C2^3128,1661
C42.265C23126th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.265C2^3128,1662
M4(2)⋊22D41st semidirect product of M4(2) and D4 acting through Inn(M4(2))32M4(2):22D4128,1665
D4×M4(2)Direct product of D4 and M4(2)32D4xM4(2)128,1666
C4×C8⋊C22Direct product of C4 and C8⋊C2232C4xC8:C2^2128,1676
C42.275C23136th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.275C2^3128,1678
C42.277C23138th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.277C2^3128,1680
C42.278C23139th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.278C2^3128,1681
C2×C8○D8Direct product of C2 and C8○D832C2xC8oD8128,1685
C2×C8.26D4Direct product of C2 and C8.26D432C2xC8.26D4128,1686
C42.283C23144th non-split extension by C42 of C23 acting via C23/C2=C22324C4^2.283C2^3128,1687
M4(2)○D8Central product of M4(2) and D8324M4(2)oD8128,1689
C42.691C23106th non-split extension by C42 of C23 acting via C23/C22=C232C4^2.691C2^3128,1704
C233M4(2)2nd semidirect product of C23 and M4(2) acting via M4(2)/C4=C2232C2^3:3M4(2)128,1705
D47M4(2)2nd semidirect product of D4 and M4(2) acting through Inn(D4)32D4:7M4(2)128,1706
C42.693C23108th non-split extension by C42 of C23 acting via C23/C22=C232C4^2.693C2^3128,1707
C42.297C23158th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.297C2^3128,1708
C42.298C23159th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.298C2^3128,1709
C42.299C23160th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.299C2^3128,1710
C2×C22⋊D8Direct product of C2 and C22⋊D832C2xC2^2:D8128,1728
C2×C22⋊SD16Direct product of C2 and C22⋊SD1632C2xC2^2:SD16128,1729
C24.103D458th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.103D4128,1734
C24.178D433rd non-split extension by C24 of D4 acting via D4/C22=C232C2^4.178D4128,1736
C24.104D459th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.104D4128,1737
C24.105D460th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.105D4128,1738
C24.106D461st non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.106D4128,1739
C4○D4⋊D41st semidirect product of C4○D4 and D4 acting via D4/C2=C2232C4oD4:D4128,1740
D4.(C2×D4)8th non-split extension by D4 of C2×D4 acting via C2×D4/C23=C232D4.(C2xD4)128,1741
(C2×Q8)⋊16D412nd semidirect product of C2×Q8 and D4 acting via D4/C2=C2232(C2xQ8):16D4128,1742
(C2×D4)⋊21D417th semidirect product of C2×D4 and D4 acting via D4/C2=C2232(C2xD4):21D4128,1744
C2×D4.9D4Direct product of C2 and D4.9D432C2xD4.9D4128,1747
C2×D4.8D4Direct product of C2 and D4.8D432C2xD4.8D4128,1748
C2×D4.10D4Direct product of C2 and D4.10D432C2xD4.10D4128,1749
M4(2).C234th non-split extension by M4(2) of C23 acting via C23/C2=C22328-M4(2).C2^3128,1752
C42.13C2313rd non-split extension by C42 of C23 acting faithfully328-C4^2.13C2^3128,1754
C2×C23.7D4Direct product of C2 and C23.7D432C2xC2^3.7D4128,1756
C23.10C2410th non-split extension by C23 of C24 acting via C24/C22=C22328-C2^3.10C2^4128,1760
C42.211D4193rd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.211D4128,1768
C42.444D477th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.444D4128,1770
C42.446D479th non-split extension by C42 of D4 acting via D4/C22=C232C4^2.446D4128,1772
C42.14C2314th non-split extension by C42 of C23 acting faithfully32C4^2.14C2^3128,1773
C42.15C2315th non-split extension by C42 of C23 acting faithfully32C4^2.15C2^3128,1774
C42.16C2316th non-split extension by C42 of C23 acting faithfully32C4^2.16C2^3128,1775
C42.18C2318th non-split extension by C42 of C23 acting faithfully32C4^2.18C2^3128,1777
C24.144D413rd non-split extension by C24 of D4 acting via D4/C4=C232C2^4.144D4128,1782
C24.110D465th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.110D4128,1786
M4(2)⋊14D41st semidirect product of M4(2) and D4 acting via D4/C22=C232M4(2):14D4128,1787
M4(2)⋊15D42nd semidirect product of M4(2) and D4 acting via D4/C22=C232M4(2):15D4128,1788
(C2×C8)⋊11D47th semidirect product of C2×C8 and D4 acting via D4/C2=C2232(C2xC8):11D4128,1789
(C2×C8)⋊12D48th semidirect product of C2×C8 and D4 acting via D4/C2=C2232(C2xC8):12D4128,1790
M4(2)⋊16D43rd semidirect product of M4(2) and D4 acting via D4/C22=C232M4(2):16D4128,1794
C2×D4.3D4Direct product of C2 and D4.3D432C2xD4.3D4128,1796
C2×D4.4D4Direct product of C2 and D4.4D432C2xD4.4D4128,1797
M4(2).10C2310th non-split extension by M4(2) of C23 acting via C23/C2=C22324M4(2).10C2^3128,1799
M4(2).38D42nd non-split extension by M4(2) of D4 acting via D4/C22=C2328-M4(2).38D4128,1801
C42.219D4201st non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.219D4128,1809
C42.20C2320th non-split extension by C42 of C23 acting faithfully32C4^2.20C2^3128,1813
C24.115D470th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.115D4128,1823
C24.183D438th non-split extension by C24 of D4 acting via D4/C22=C232C2^4.183D4128,1824
C24.116D471st non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.116D4128,1825
C24.117D472nd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.117D4128,1826
C24.118D473rd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.118D4128,1827
(C2×D4).301D454th non-split extension by C2×D4 of D4 acting via D4/C22=C232(C2xD4).301D4128,1828
C42.221D4203rd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.221D4128,1832
C42.222D4204th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.222D4128,1833
C42.225D4207th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.225D4128,1837
C42.227D4209th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.227D4128,1841
C42.228D4210th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.228D4128,1842
C42.232D4214th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.232D4128,1846
C42.352C23213rd non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.352C2^3128,1850
C42.356C23217th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.356C2^3128,1854
C42.357C23218th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.357C2^3128,1855
C42.366C23227th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.366C2^3128,1868
C42.240D4222nd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.240D4128,1870
C42.242D4224th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.242D4128,1872
M4(2)⋊7D41st semidirect product of M4(2) and D4 acting via D4/C4=C232M4(2):7D4128,1883
M4(2)⋊9D43rd semidirect product of M4(2) and D4 acting via D4/C4=C232M4(2):9D4128,1885
M4(2)⋊10D44th semidirect product of M4(2) and D4 acting via D4/C4=C232M4(2):10D4128,1886
M4(2)⋊11D45th semidirect product of M4(2) and D4 acting via D4/C4=C232M4(2):11D4128,1887
C233D82nd semidirect product of C23 and D8 acting via D8/C4=C2232C2^3:3D8128,1918
C234SD162nd semidirect product of C23 and SD16 acting via SD16/C4=C2232C2^3:4SD16128,1919
C24.121D476th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.121D4128,1920
C233Q162nd semidirect product of C23 and Q16 acting via Q16/C4=C2232C2^3:3Q16128,1921
C24.123D478th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.123D4128,1922
C24.124D479th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.124D4128,1923
C24.125D480th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.125D4128,1924
C24.126D481st non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.126D4128,1925
C24.127D482nd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.127D4128,1926
C24.128D483rd non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.128D4128,1927
C24.129D484th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.129D4128,1928
C24.130D485th non-split extension by C24 of D4 acting via D4/C2=C2232C2^4.130D4128,1929
C4.2+ 1+413rd non-split extension by C4 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C232C4.ES+(2,2)128,1930
C4.142+ 1+414th non-split extension by C4 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C232C4.14ES+(2,2)128,1931
C4.152+ 1+415th non-split extension by C4 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C232C4.15ES+(2,2)128,1932
C42.263D4245th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.263D4128,1937
C42.266D4248th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.266D4128,1940
C42.269D4251st non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.269D4128,1943
C42.271D4253rd non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.271D4128,1945
C42.273D4255th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.273D4128,1947
C42.275D4257th non-split extension by C42 of D4 acting via D4/C2=C2232C4^2.275D4128,1949
C42.406C23267th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.406C2^3128,1952
C42.408C23269th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.408C2^3128,1954
C42.410C23271st non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.410C2^3128,1956
D89D43rd semidirect product of D8 and D4 acting via D4/C22=C232D8:9D4128,1996
SD16⋊D41st semidirect product of SD16 and D4 acting via D4/C22=C232SD16:D4128,1997
SD166D42nd semidirect product of SD16 and D4 acting via D4/C22=C232SD16:6D4128,1998
D810D44th semidirect product of D8 and D4 acting via D4/C22=C232D8:10D4128,1999
SD167D43rd semidirect product of SD16 and D4 acting via D4/C22=C232SD16:7D4128,2000
D84D43rd semidirect product of D8 and D4 acting via D4/C4=C232D8:4D4128,2004
D85D44th semidirect product of D8 and D4 acting via D4/C4=C232D8:5D4128,2005
SD161D41st semidirect product of SD16 and D4 acting via D4/C4=C232SD16:1D4128,2006
SD162D42nd semidirect product of SD16 and D4 acting via D4/C4=C232SD16:2D4128,2007
D4×D8Direct product of D4 and D832D4xD8128,2011
D812D41st semidirect product of D8 and D4 acting through Inn(D8)32D8:12D4128,2012
D4×SD16Direct product of D4 and SD1632D4xSD16128,2013
SD1610D41st semidirect product of SD16 and D4 acting through Inn(SD16)32SD16:10D4128,2014
D8.13D45th non-split extension by D8 of D4 acting via D4/C22=C2328-D8.13D4128,2021
D8○SD16Central product of D8 and SD16324D8oSD16128,2022
D8○Q16Central product of D8 and Q16324-D8oQ16128,2025
D44D81st semidirect product of D4 and D8 acting through Inn(D4)32D4:4D8128,2026
D47SD161st semidirect product of D4 and SD16 acting through Inn(D4)32D4:7SD16128,2027
C42.461C23322nd non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.461C2^3128,2028
C42.462C23323rd non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.462C2^3128,2029
C42.41C2341st non-split extension by C42 of C23 acting faithfully32C4^2.41C2^3128,2038
C42.45C2345th non-split extension by C42 of C23 acting faithfully32C4^2.45C2^3128,2042
C42.46C2346th non-split extension by C42 of C23 acting faithfully32C4^2.46C2^3128,2043
C42.49C2349th non-split extension by C42 of C23 acting faithfully32C4^2.49C2^3128,2046
C42.53C2353rd non-split extension by C42 of C23 acting faithfully32C4^2.53C2^3128,2050
C42.54C2354th non-split extension by C42 of C23 acting faithfully32C4^2.54C2^3128,2051
C42.471C23332nd non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.471C2^3128,2054
C42.472C23333rd non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.472C2^3128,2055
C42.473C23334th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.473C2^3128,2056
C42.474C23335th non-split extension by C42 of C23 acting via C23/C2=C2232C4^2.474C2^3128,2057
Q8○M5(2)Central product of Q8 and M5(2)324Q8oM5(2)128,2139
C2×C16⋊C22Direct product of C2 and C16⋊C2232C2xC16:C2^2128,2144
D16⋊C224th semidirect product of D16 and C22 acting via C22/C2=C2324D16:C2^2128,2146
D4○D16Central product of D4 and D16324+D4oD16128,2147
D4○SD32Central product of D4 and SD32324D4oSD32128,2148
C2×C22.11C24Direct product of C2 and C22.11C2432C2xC2^2.11C2^4128,2157
C22.14C2510th central extension by C22 of C2532C2^2.14C2^5128,2160
C4×2+ 1+4Direct product of C4 and 2+ 1+432C4xES+(2,2)128,2161
C22×C22≀C2Direct product of C22 and C22≀C232C2^2xC2^2wrC2128,2163
C2×C22.19C24Direct product of C2 and C22.19C2432C2xC2^2.19C2^4128,2167
C22.33C2514th central stem extension by C22 of C2532C2^2.33C2^5128,2176
C2×C233D4Direct product of C2 and C233D432C2xC2^3:3D4128,2177
C2×C22.29C24Direct product of C2 and C22.29C2432C2xC2^2.29C2^4128,2178
C22.38C2519th central stem extension by C22 of C2532C2^2.38C2^5128,2181
C2×C22.32C24Direct product of C2 and C22.32C2432C2xC2^2.32C2^4128,2182
C22.44C2525th central stem extension by C22 of C2532C2^2.44C2^5128,2187
C2×C232Q8Direct product of C2 and C232Q832C2xC2^3:2Q8128,2188
C22.47C2528th central stem extension by C22 of C2532C2^2.47C2^5128,2190
C22.48C2529th central stem extension by C22 of C2532C2^2.48C2^5128,2191
C22.49C2530th central stem extension by C22 of C2532C2^2.49C2^5128,2192
C2×D42Direct product of C2, D4 and D432C2xD4^2128,2194
C2×D45D4Direct product of C2 and D45D432C2xD4:5D4128,2195
D4×C4○D4Direct product of D4 and C4○D432D4xC4oD4128,2200
C2×C22.45C24Direct product of C2 and C22.45C2432C2xC2^2.45C2^4128,2201
C22.64C2545th central stem extension by C22 of C2532C2^2.64C2^5128,2207
C22.70C2551st central stem extension by C22 of C2532C2^2.70C2^5128,2213
C22.74C2555th central stem extension by C22 of C2532C2^2.74C2^5128,2217
C22.75C2556th central stem extension by C22 of C2532C2^2.75C2^5128,2218
C22.76C2557th central stem extension by C22 of C2532C2^2.76C2^5128,2219
C22.77C2558th central stem extension by C22 of C2532C2^2.77C2^5128,2220
C22.78C2559th central stem extension by C22 of C2532C2^2.78C2^5128,2221
C22.80C2561st central stem extension by C22 of C2532C2^2.80C2^5128,2223
C22.81C2562nd central stem extension by C22 of C2532C2^2.81C2^5128,2224
C22.82C2563rd central stem extension by C22 of C2532C2^2.82C2^5128,2225
C22.83C2564th central stem extension by C22 of C2532C2^2.83C2^5128,2226
C22.84C2565th central stem extension by C22 of C2532C2^2.84C2^5128,2227
C4⋊2+ 1+4The semidirect product of C4 and 2+ 1+4 acting via 2+ 1+4/C2×D4=C232C4:ES+(2,2)128,2228
C22.87C2568th central stem extension by C22 of C2532C2^2.87C2^5128,2230
C22.89C2570th central stem extension by C22 of C2532C2^2.89C2^5128,2232
C22.90C2571st central stem extension by C22 of C2532C2^2.90C2^5128,2233
C22.94C2575th central stem extension by C22 of C2532C2^2.94C2^5128,2237
C22.95C2576th central stem extension by C22 of C2532C2^2.95C2^5128,2238
C22.97C2578th central stem extension by C22 of C2532C2^2.97C2^5128,2240
C22.99C2580th central stem extension by C22 of C2532C2^2.99C2^5128,2242
C22.102C2583rd central stem extension by C22 of C2532C2^2.102C2^5128,2245
C22.103C2584th central stem extension by C22 of C2532C2^2.103C2^5128,2246
C22.108C2589th central stem extension by C22 of C2532C2^2.108C2^5128,2251
C23.144C2444th non-split extension by C23 of C24 acting via C24/C23=C232C2^3.144C2^4128,2252
C22.110C2591st central stem extension by C22 of C2532C2^2.110C2^5128,2253
C2×C22.54C24Direct product of C2 and C22.54C2432C2xC2^2.54C2^4128,2257
C2×C24⋊C22Direct product of C2 and C24⋊C2232C2xC2^4:C2^2128,2258
C22.118C2599th central stem extension by C22 of C2532C2^2.118C2^5128,2261
C22.122C25103rd central stem extension by C22 of C2532C2^2.122C2^5128,2265
C22.123C25104th central stem extension by C22 of C2532C2^2.123C2^5128,2266
C22.124C25105th central stem extension by C22 of C2532C2^2.124C2^5128,2267
C22.125C25106th central stem extension by C22 of C2532C2^2.125C2^5128,2268
C22.126C25107th central stem extension by C22 of C2532C2^2.126C2^5128,2269
C22.127C25108th central stem extension by C22 of C2532C2^2.127C2^5128,2270
C22.128C25109th central stem extension by C22 of C2532C2^2.128C2^5128,2271
C22.129C25110th central stem extension by C22 of C2532C2^2.129C2^5128,2272
C22.130C25111st central stem extension by C22 of C2532C2^2.130C2^5128,2273
C22.131C25112nd central stem extension by C22 of C2532C2^2.131C2^5128,2274
C22.132C25113rd central stem extension by C22 of C2532C2^2.132C2^5128,2275
C22.134C25115th central stem extension by C22 of C2532C2^2.134C2^5128,2277
C22.135C25116th central stem extension by C22 of C2532C2^2.135C2^5128,2278
C22.138C25119th central stem extension by C22 of C2532C2^2.138C2^5128,2281
C22.140C25121st central stem extension by C22 of C2532C2^2.140C2^5128,2283
C22.147C25128th central stem extension by C22 of C2532C2^2.147C2^5128,2290
C22.149C25130th central stem extension by C22 of C2532C2^2.149C2^5128,2292
C22.150C25131st central stem extension by C22 of C2532C2^2.150C2^5128,2293
C22.151C25132nd central stem extension by C22 of C2532C2^2.151C2^5128,2294
C22.153C25134th central stem extension by C22 of C2532C2^2.153C2^5128,2296
C22.155C25136th central stem extension by C22 of C2532C2^2.155C2^5128,2298
C22.157C25138th central stem extension by C22 of C2532C2^2.157C2^5128,2300
C2×Q8○M4(2)Direct product of C2 and Q8○M4(2)32C2xQ8oM4(2)128,2304
C4.22C254th central extension by C4 of C25324C4.22C2^5128,2305
C22×C8⋊C22Direct product of C22 and C8⋊C2232C2^2xC8:C2^2128,2310
C2×D8⋊C22Direct product of C2 and D8⋊C2232C2xD8:C2^2128,2312
C2×D4○D8Direct product of C2 and D4○D832C2xD4oD8128,2313
C2×D4○SD16Direct product of C2 and D4○SD1632C2xD4oSD16128,2314
C8.C246th non-split extension by C8 of C24 acting via C24/C22=C22324C8.C2^4128,2316
C4.C2513rd non-split extension by C4 of C25 acting via C25/C24=C2328-C4.C2^5128,2318
C22×2+ 1+4Direct product of C22 and 2+ 1+432C2^2xES+(2,2)128,2323
C2×C2.C25Direct product of C2 and C2.C2532C2xC2.C2^5128,2325
2- 1+6Extraspecial group; = D42- 1+4328-ES-(2,3)128,2327

Groups of order 160

dρLabelID
2- 1+4⋊C5The semidirect product of 2- 1+4 and C5 acting faithfully324-ES-(2,2):C5160,199

Groups of order 192

dρLabelID
C4×GL2(𝔽3)Direct product of C4 and GL2(𝔽3)32C4xGL(2,3)192,951
Q8⋊D12The semidirect product of Q8 and D12 acting via D12/C4=S332Q8:D12192,952
GL2(𝔽3)⋊C41st semidirect product of GL2(𝔽3) and C4 acting via C4/C2=C232GL(2,3):C4192,953
Q8.2D122nd non-split extension by Q8 of D12 acting via D12/C4=S332Q8.2D12192,954
CU2(𝔽3)Conformal unitary group on 𝔽32; = U2(𝔽3)7C2322CU(2,3)192,963
C8.5S45th non-split extension by C8 of S4 acting via S4/A4=C2324C8.5S4192,964
C8.4S44th non-split extension by C8 of S4 acting via S4/A4=C2324C8.4S4192,965
C8.3S43rd non-split extension by C8 of S4 acting via S4/A4=C2324+C8.3S4192,966
C23.14S41st non-split extension by C23 of S4 acting via S4/A4=C232C2^3.14S4192,978
C23.15S42nd non-split extension by C23 of S4 acting via S4/A4=C232C2^3.15S4192,979
C23.16S43rd non-split extension by C23 of S4 acting via S4/A4=C232C2^3.16S4192,980
U2(𝔽3)⋊C26th semidirect product of U2(𝔽3) and C2 acting faithfully324U(2,3):C2192,982
SL2(𝔽3)⋊D42nd semidirect product of SL2(𝔽3) and D4 acting via D4/C22=C232SL(2,3):D4192,986
D4.S42nd non-split extension by D4 of S4 acting via S4/A4=C2324-D4.S4192,989
D4.3S43rd non-split extension by D4 of S4 acting via S4/A4=C2324D4.3S4192,990
(C2×Q8)⋊C12The semidirect product of C2×Q8 and C12 acting via C12/C2=C632(C2xQ8):C12192,998
SL2(𝔽3)⋊5D41st semidirect product of SL2(𝔽3) and D4 acting through Inn(SL2(𝔽3))32SL(2,3):5D4192,1003
D4×SL2(𝔽3)Direct product of D4 and SL2(𝔽3)32D4xSL(2,3)192,1004
M4(2).A4The non-split extension by M4(2) of A4 acting through Inn(M4(2))324M4(2).A4192,1013
SD16.A4The non-split extension by SD16 of A4 acting through Inn(SD16)324SD16.A4192,1018
D8.A4The non-split extension by D8 of A4 acting through Inn(D8)324-D8.A4192,1019
C22×GL2(𝔽3)Direct product of C22 and GL2(𝔽3)32C2^2xGL(2,3)192,1475
C2×Q8.D6Direct product of C2 and Q8.D632C2xQ8.D6192,1476
C2×C4.6S4Direct product of C2 and C4.6S432C2xC4.6S4192,1480
C2×C4.3S4Direct product of C2 and C4.3S432C2xC4.3S4192,1481
GL2(𝔽3)⋊C223rd semidirect product of GL2(𝔽3) and C22 acting via C22/C2=C2324GL(2,3):C2^2192,1482
Q8.6S41st non-split extension by Q8 of S4 acting through Inn(Q8)324Q8.6S4192,1483
Q8.7S42nd non-split extension by Q8 of S4 acting through Inn(Q8)324+Q8.7S4192,1484
D4.5S42nd non-split extension by D4 of S4 acting through Inn(D4)324-D4.5S4192,1486
C2×D4.A4Direct product of C2 and D4.A432C2xD4.A4192,1503
2- 1+43C62nd semidirect product of 2- 1+4 and C6 acting via C6/C2=C3324ES-(2,2):3C6192,1504

Groups of order 320

dρLabelID
2- 1+4⋊D5The semidirect product of 2- 1+4 and D5 acting faithfully324ES-(2,2):D5320,1582

On 33 points

Groups of order 33

dρLabelID
C33Cyclic group331C3333,1

Groups of order 66

dρLabelID
S3×C11Direct product of C11 and S3332S3xC1166,1
C3×D11Direct product of C3 and D11332C3xD1166,2
D33Dihedral group332+D3366,3

Groups of order 132

dρLabelID
S3×D11Direct product of S3 and D11334+S3xD11132,5

Groups of order 165

dρLabelID
C3×C11⋊C5Direct product of C3 and C11⋊C5335C3xC11:C5165,1

Groups of order 330

dρLabelID
C3×F11Direct product of C3 and F113310C3xF11330,1
S3×C11⋊C5Direct product of S3 and C11⋊C53310S3xC11:C5330,2
C3⋊F11The semidirect product of C3 and F11 acting via F11/C11⋊C5=C23310+C3:F11330,3

Groups of order 363

dρLabelID
C112⋊C3The semidirect product of C112 and C3 acting faithfully333C11^2:C3363,2

On 34 points

Groups of order 34

dρLabelID
C34Cyclic group341C3434,2

Groups of order 68

dρLabelID
D34Dihedral group; = C2×D17342+D3468,4

Groups of order 136

dρLabelID
C2×C17⋊C4Direct product of C2 and C17⋊C4344+C2xC17:C4136,13

Groups of order 272

dρLabelID
C2×C17⋊C8Direct product of C2 and C17⋊C8348+C2xC17:C8272,51

On 35 points

Groups of order 35

dρLabelID
C35Cyclic group351C3535,1

Groups of order 70

dρLabelID
C7×D5Direct product of C7 and D5352C7xD570,1
C5×D7Direct product of C5 and D7352C5xD770,2
D35Dihedral group352+D3570,3

Groups of order 105

dρLabelID
C5×C7⋊C3Direct product of C5 and C7⋊C3353C5xC7:C3105,1

Groups of order 140

dρLabelID
C7×F5Direct product of C7 and F5354C7xF5140,5
C7⋊F5The semidirect product of C7 and F5 acting via F5/D5=C2354C7:F5140,6
D5×D7Direct product of D5 and D7354+D5xD7140,7

Groups of order 210

dρLabelID
C5×F7Direct product of C5 and F7356C5xF7210,1
D5×C7⋊C3Direct product of D5 and C7⋊C3356D5xC7:C3210,2
C5⋊F7The semidirect product of C5 and F7 acting via F7/C7⋊C3=C2356+C5:F7210,3

Groups of order 280

dρLabelID
D7×F5Direct product of D7 and F5358+D7xF5280,32

Groups of order 420

dρLabelID
C7×A5Direct product of C7 and A5353C7xA5420,13
F5×C7⋊C3Direct product of F5 and C7⋊C33512F5xC7:C3420,14
C35⋊C121st semidirect product of C35 and C12 acting faithfully3512C35:C12420,15
D5×F7Direct product of D5 and F73512+D5xF7420,16

On 36 points

Groups of order 36

dρLabelID
Dic9Dicyclic group; = C9C4362-Dic936,1
C36Cyclic group361C3636,2
C2×C18Abelian group of type [2,18]36C2xC1836,5
C3⋊Dic3The semidirect product of C3 and Dic3 acting via Dic3/C6=C236C3:Dic336,7
C3×C12Abelian group of type [3,12]36C3xC1236,8
C62Abelian group of type [6,6]36C6^236,14

Groups of order 72

dρLabelID
C4×D9Direct product of C4 and D9362C4xD972,5
D36Dihedral group362+D3672,6
C9⋊D4The semidirect product of C9 and D4 acting via D4/C22=C2362C9:D472,8
D4×C9Direct product of C9 and D4362D4xC972,10
C22×D9Direct product of C22 and D936C2^2xD972,17
C4×C3⋊S3Direct product of C4 and C3⋊S336C4xC3:S372,32
C12⋊S31st semidirect product of C12 and S3 acting via S3/C3=C236C12:S372,33
C327D42nd semidirect product of C32 and D4 acting via D4/C22=C236C3^2:7D472,35
D4×C32Direct product of C32 and D436D4xC3^272,37
C22×C3⋊S3Direct product of C22 and C3⋊S336C2^2xC3:S372,49

Groups of order 108

dρLabelID
C3×Dic9Direct product of C3 and Dic9362C3xDic9108,6
C9×Dic3Direct product of C9 and Dic3362C9xDic3108,7
C32⋊C12The semidirect product of C32 and C12 acting via C12/C2=C6366-C3^2:C12108,8
C9⋊C12The semidirect product of C9 and C12 acting via C12/C2=C6366-C9:C12108,9
He33C42nd semidirect product of He3 and C4 acting via C4/C2=C2363He3:3C4108,11
C4×He3Direct product of C4 and He3363C4xHe3108,13
C4×3- 1+2Direct product of C4 and 3- 1+2363C4xES-(3,1)108,14
C9×A4Direct product of C9 and A4363C9xA4108,18
C9⋊A4The semidirect product of C9 and A4 acting via A4/C22=C3363C9:A4108,19
C6×D9Direct product of C6 and D9362C6xD9108,23
S3×C18Direct product of C18 and S3362S3xC18108,24
C22×He3Direct product of C22 and He336C2^2xHe3108,30
C22×3- 1+2Direct product of C22 and 3- 1+236C2^2xES-(3,1)108,31
C32×Dic3Direct product of C32 and Dic336C3^2xDic3108,32
C3×C3⋊Dic3Direct product of C3 and C3⋊Dic336C3xC3:Dic3108,33
C32×A4Direct product of C32 and A436C3^2xA4108,41
S3×C3×C6Direct product of C3×C6 and S336S3xC3xC6108,42
C6×C3⋊S3Direct product of C6 and C3⋊S336C6xC3:S3108,43

Groups of order 144

dρLabelID
C42⋊C9The semidirect product of C42 and C9 acting via C9/C3=C3363C4^2:C9144,3
C6.S43rd non-split extension by C6 of S4 acting via S4/A4=C2366-C6.S4144,33
C4×C3.A4Direct product of C4 and C3.A4363C4xC3.A4144,34
D4×D9Direct product of D4 and D9364+D4xD9144,41
C3×C42⋊C3Direct product of C3 and C42⋊C3363C3xC4^2:C3144,68
C22×C3.A4Direct product of C22 and C3.A436C2^2xC3.A4144,110
C24⋊C92nd semidirect product of C24 and C9 acting via C9/C3=C336C2^4:C9144,111
C3×A4⋊C4Direct product of C3 and A4⋊C4363C3xA4:C4144,123
C6.7S47th non-split extension by C6 of S4 acting via S4/A4=C2366-C6.7S4144,126
Dic3×A4Direct product of Dic3 and A4366-Dic3xA4144,129
C12×A4Direct product of C12 and A4363C12xA4144,155
D4×C3⋊S3Direct product of D4 and C3⋊S336D4xC3:S3144,172
A4×C2×C6Direct product of C2×C6 and A436A4xC2xC6144,193
C3×C22⋊A4Direct product of C3 and C22⋊A436C3xC2^2:A4144,194

Groups of order 216

dρLabelID
C18.D63rd non-split extension by C18 of D6 acting via D6/S3=C2364+C18.D6216,28
C3⋊D36The semidirect product of C3 and D36 acting via D36/D18=C2364+C3:D36216,29
C9⋊D12The semidirect product of C9 and D12 acting via D12/D6=C2364+C9:D12216,32
C6.S322nd non-split extension by C6 of S32 acting via S32/C3⋊S3=C2366C6.S3^2216,34
He32D41st semidirect product of He3 and D4 acting via D4/C2=C22366+He3:2D4216,35
He3⋊(C2×C4)2nd semidirect product of He3 and C2×C4 acting via C2×C4/C2=C22366-He3:(C2xC4)216,36
He33D42nd semidirect product of He3 and D4 acting via D4/C2=C22366He3:3D4216,37
C4×C32⋊C6Direct product of C4 and C32⋊C6366C4xC3^2:C6216,50
He34D41st semidirect product of He3 and D4 acting via D4/C4=C2366+He3:4D4216,51
C4×C9⋊C6Direct product of C4 and C9⋊C6366C4xC9:C6216,53
D36⋊C3The semidirect product of D36 and C3 acting faithfully366+D36:C3216,54
C3×C9⋊D4Direct product of C3 and C9⋊D4362C3xC9:D4216,57
C9×C3⋊D4Direct product of C9 and C3⋊D4362C9xC3:D4216,58
He36D41st semidirect product of He3 and D4 acting via D4/C22=C2366He3:6D4216,60
Dic9⋊C6The semidirect product of Dic9 and C6 acting faithfully366Dic9:C6216,62
C4×He3⋊C2Direct product of C4 and He3⋊C2363C4xHe3:C2216,67
He35D42nd semidirect product of He3 and D4 acting via D4/C4=C2366He3:5D4216,68
He37D42nd semidirect product of He3 and D4 acting via D4/C22=C2366He3:7D4216,72
D4×He3Direct product of D4 and He3366D4xHe3216,77
D4×3- 1+2Direct product of D4 and 3- 1+2366D4xES-(3,1)216,78
C9×S4Direct product of C9 and S4363C9xS4216,89
C3×C3.S4Direct product of C3 and C3.S4366C3xC3.S4216,91
C9⋊S4The semidirect product of C9 and S4 acting via S4/A4=C2366+C9:S4216,93
D9⋊A4The semidirect product of D9 and A4 acting via A4/C22=C3366+D9:A4216,96
A4×D9Direct product of A4 and D9366+A4xD9216,97
S3×C3.A4Direct product of S3 and C3.A4366S3xC3.A4216,98
C2×He3⋊C4Direct product of C2 and He3⋊C4363C2xHe3:C4216,100
C2×S3×D9Direct product of C2, S3 and D9364+C2xS3xD9216,101
C22×C32⋊C6Direct product of C22 and C32⋊C636C2^2xC3^2:C6216,110
C22×C9⋊C6Direct product of C22 and C9⋊C636C2^2xC9:C6216,111
C22×He3⋊C2Direct product of C22 and He3⋊C236C2^2xHe3:C2216,113
C338(C2×C4)5th semidirect product of C33 and C2×C4 acting via C2×C4/C2=C2236C3^3:8(C2xC4)216,126
C337D44th semidirect product of C33 and D4 acting via D4/C2=C2236C3^3:7D4216,128
C338D45th semidirect product of C33 and D4 acting via D4/C2=C2236C3^3:8D4216,129
C32×C3⋊D4Direct product of C32 and C3⋊D436C3^2xC3:D4216,139
C3×C327D4Direct product of C3 and C327D436C3xC3^2:7D4216,144
C32×S4Direct product of C32 and S436C3^2xS4216,163
C324S42nd semidirect product of C32 and S4 acting via S4/A4=C236C3^2:4S4216,165
A4×C3⋊S3Direct product of A4 and C3⋊S336A4xC3:S3216,167
C2×S3×C3⋊S3Direct product of C2, S3 and C3⋊S336C2xS3xC3:S3216,171

Groups of order 288

dρLabelID
C2.(C42⋊C9)The central stem extension by C2 of C42⋊C9366C2.(C4^2:C9)288,3
C42⋊D9The semidirect product of C42 and D9 acting via D9/C3=S3366+C4^2:D9288,67
C2×C42⋊C9Direct product of C2 and C42⋊C9363C2xC4^2:C9288,71
C24⋊C181st semidirect product of C24 and C18 acting via C18/C3=C6366C2^4:C18288,73
C422C182nd semidirect product of C42 and C18 acting via C18/C3=C6366C4^2:2C18288,75
C3×C23.3A4Direct product of C3 and C23.3A4366C3xC2^3.3A4288,230
C4×C3.S4Direct product of C4 and C3.S4366C4xC3.S4288,333
C22⋊D36The semidirect product of C22 and D36 acting via D36/C12=S3366+C2^2:D36288,334
C23.D185th non-split extension by C23 of D18 acting via D18/C6=S3366C2^3.D18288,342
D4×C3.A4Direct product of D4 and C3.A4366D4xC3.A4288,344
C3×C42⋊S3Direct product of C3 and C42⋊S3363C3xC4^2:S3288,397
(C4×C12)⋊S31st semidirect product of C4×C12 and S3 acting faithfully366+(C4xC12):S3288,401
(C4×C12)⋊C63rd semidirect product of C4×C12 and C6 acting faithfully366+(C4xC12):C6288,405
S3×C42⋊C3Direct product of S3 and C42⋊C3366S3xC4^2:C3288,407
C6×C42⋊C3Direct product of C6 and C42⋊C3363C6xC4^2:C3288,632
C3×C23.A4Direct product of C3 and C23.A4366C3xC2^3.A4288,636
C22×C3.S4Direct product of C22 and C3.S436C2^2xC3.S4288,835
C24⋊D93rd semidirect product of C24 and D9 acting via D9/C3=S3366C2^4:D9288,836
C2×C24⋊C9Direct product of C2 and C24⋊C936C2xC2^4:C9288,838
PSU3(𝔽2)⋊C4The semidirect product of PSU3(𝔽2) and C4 acting via C4/C2=C2368PSU(3,2):C4288,842
F9⋊C4The semidirect product of F9 and C4 acting via C4/C2=C2368F9:C4288,843
Dic3×S4Direct product of Dic3 and S4366-Dic3xS4288,853
Dic32S4The semidirect product of Dic3 and S4 acting through Inn(Dic3)366Dic3:2S4288,854
Dic3⋊S4The semidirect product of Dic3 and S4 acting via S4/A4=C2366Dic3:S4288,855
S3×A4⋊C4Direct product of S3 and A4⋊C4366S3xA4:C4288,856
D6⋊S41st semidirect product of D6 and S4 acting via S4/A4=C2366D6:S4288,857
A4⋊D12The semidirect product of A4 and D12 acting via D12/D6=C2366+A4:D12288,858
C4×F9Direct product of C4 and F9368C4xF9288,863
C4⋊F9The semidirect product of C4 and F9 acting via F9/C32⋊C4=C2368C4:F9288,864
C4×PSU3(𝔽2)Direct product of C4 and PSU3(𝔽2)368C4xPSU(3,2)288,892
C4⋊PSU3(𝔽2)The semidirect product of C4 and PSU3(𝔽2) acting via PSU3(𝔽2)/C32⋊C4=C2368C4:PSU(3,2)288,893
C12×S4Direct product of C12 and S4363C12xS4288,897
C3×C4⋊S4Direct product of C3 and C4⋊S4366C3xC4:S4288,898
C3×A4⋊D4Direct product of C3 and A4⋊D4366C3xA4:D4288,906
C4×C3⋊S4Direct product of C4 and C3⋊S4366C4xC3:S4288,908
C12⋊S41st semidirect product of C12 and S4 acting via S4/A4=C2366+C12:S4288,909
(C2×C6)⋊4S42nd semidirect product of C2×C6 and S4 acting via S4/A4=C2366(C2xC6):4S4288,917
C4×S3×A4Direct product of C4, S3 and A4366C4xS3xA4288,919
A4×D12Direct product of A4 and D12366+A4xD12288,920
A4×C3⋊D4Direct product of A4 and C3⋊D4366A4xC3:D4288,928
C3×D4×A4Direct product of C3, D4 and A4366C3xD4xA4288,980
C22×F9Direct product of C22 and F936C2^2xF9288,1030
C22×PSU3(𝔽2)Direct product of C22 and PSU3(𝔽2)36C2^2xPSU(3,2)288,1032
C2×C6×S4Direct product of C2×C6 and S436C2xC6xS4288,1033
C22×C3⋊S4Direct product of C22 and C3⋊S436C2^2xC3:S4288,1034
C22×S3×A4Direct product of C22, S3 and A436C2^2xS3xA4288,1037
S3×C22⋊A4Direct product of S3 and C22⋊A436S3xC2^2:A4288,1038
C6×C22⋊A4Direct product of C6 and C22⋊A436C6xC2^2:A4288,1042

Groups of order 324

dρLabelID
C9×Dic9Direct product of C9 and Dic9362C9xDic9324,6
C32⋊C36The semidirect product of C32 and C36 acting via C36/C6=C6366C3^2:C36324,7
C9⋊C36The semidirect product of C9 and C36 acting via C36/C6=C6366C9:C36324,9
He3⋊C12The semidirect product of He3 and C12 acting via C12/C2=C6363He3:C12324,13
C33⋊C121st semidirect product of C33 and C12 acting via C12/C2=C6366-C3^3:C12324,14
C322Dic92nd semidirect product of C32 and Dic9 acting via Dic9/C6=S3366C3^2:2Dic9324,20
C33⋊Dic32nd semidirect product of C33 and Dic3 acting via Dic3/C2=S3366-C3^3:Dic3324,22
C4×C3≀C3Direct product of C4 and C3≀C3363C4xC3wrC3324,31
He32A42nd semidirect product of He3 and A4 acting via A4/C22=C3369He3:2A4324,55
C62.6C326th non-split extension by C62 of C32 acting faithfully369C6^2.6C3^2324,58
D9×C18Direct product of C18 and D9362D9xC18324,61
C2×C32⋊C18Direct product of C2 and C32⋊C18366C2xC3^2:C18324,62
C2×C9⋊C18Direct product of C2 and C9⋊C18366C2xC9:C18324,64
C2×C322D9Direct product of C2 and C322D9366C2xC3^2:2D9324,75
C22×C3≀C3Direct product of C22 and C3≀C336C2^2xC3wrC3324,86
C3×C32⋊C12Direct product of C3 and C32⋊C12366C3xC3^2:C12324,92
Dic3×He3Direct product of Dic3 and He3366Dic3xHe3324,93
C3×C9⋊C12Direct product of C3 and C9⋊C12366C3xC9:C12324,94
Dic3×3- 1+2Direct product of Dic3 and 3- 1+2366Dic3xES-(3,1)324,95
He36Dic32nd semidirect product of He3 and Dic3 acting via Dic3/C6=C2366He3:6Dic3324,104
C9×C32⋊C4Direct product of C9 and C32⋊C4364C9xC3^2:C4324,109
C323Dic9The semidirect product of C32 and Dic9 acting via Dic9/C9=C4364C3^2:3Dic9324,112
C3×S3×D9Direct product of C3, S3 and D9364C3xS3xD9324,114
S32×C9Direct product of C9, S3 and S3364S3^2xC9324,115
C325D182nd semidirect product of C32 and D18 acting via D18/C9=C22364C3^2:5D18324,123
A4×He3Direct product of A4 and He3369A4xHe3324,130
A4×3- 1+2Direct product of A4 and 3- 1+2369A4xES-(3,1)324,131
C6×C32⋊C6Direct product of C6 and C32⋊C6366C6xC3^2:C6324,138
C2×S3×He3Direct product of C2, S3 and He3366C2xS3xHe3324,139
C6×C9⋊C6Direct product of C6 and C9⋊C6366C6xC9:C6324,140
C2×S3×3- 1+2Direct product of C2, S3 and 3- 1+2366C2xS3xES-(3,1)324,141
C2×He35S3Direct product of C2 and He35S3366C2xHe3:5S3324,150
C32×C3⋊Dic3Direct product of C32 and C3⋊Dic336C3^2xC3:Dic3324,156
C32×C32⋊C4Direct product of C32 and C32⋊C436C3^2xC3^2:C4324,161
C34⋊C43rd semidirect product of C34 and C4 acting faithfully36C3^4:C4324,163
S32×C32Direct product of C32, S3 and S336S3^2xC3^2324,165
C3×S3×C3⋊S3Direct product of C3, S3 and C3⋊S336C3xS3xC3:S3324,166
C3317D65th semidirect product of C33 and D6 acting via D6/C3=C2236C3^3:17D6324,170
C3⋊S3×C3×C6Direct product of C3×C6 and C3⋊S336C3:S3xC3xC6324,173

Groups of order 432

dρLabelID
C122.C32nd non-split extension by C122 of C3 acting faithfully363C12^2.C3432,102
C42⋊He3The semidirect product of C42 and He3 acting via He3/C32=C3363C4^2:He3432,103
C32⋊D6⋊C4The semidirect product of C32⋊D6 and C4 acting via C4/C2=C2366C3^2:D6:C4432,238
C62.Dic38th non-split extension by C62 of Dic3 acting via Dic3/C2=S3366-C6^2.Dic3432,249
C3×C6.S4Direct product of C3 and C6.S4366C3xC6.S4432,250
C625Dic34th semidirect product of C62 and Dic3 acting via Dic3/C2=S3366-C6^2:5Dic3432,251
C626Dic35th semidirect product of C62 and Dic3 acting via Dic3/C2=S3363C6^2:6Dic3432,260
Dic3×C3.A4Direct product of Dic3 and C3.A4366Dic3xC3.A4432,271
C624C123rd semidirect product of C62 and C12 acting via C12/C2=C6366-C6^2:4C12432,272
C22⋊(He3⋊C4)The semidirect product of C22 and He3⋊C4 acting via He3⋊C4/He3⋊C2=C2366C2^2:(He3:C4)432,279
C4×C32⋊D6Direct product of C4 and C32⋊D6366C4xC3^2:D6432,300
C3⋊S3⋊D12The semidirect product of C3⋊S3 and D12 acting via D12/C4=S33612+C3:S3:D12432,301
C12.86S326th non-split extension by C12 of S32 acting via S32/C3⋊S3=C2366+C12.86S3^2432,302
D18⋊D64th semidirect product of D18 and D6 acting via D6/S3=C2364+D18:D6432,315
C62⋊D61st semidirect product of C62 and D6 acting faithfully3612+C6^2:D6432,323
C622D62nd semidirect product of C62 and D6 acting faithfully366C6^2:2D6432,324
C4×C32.A4Direct product of C4 and C32.A4363C4xC3^2.A4432,332
C4×C32⋊A4Direct product of C4 and C32⋊A4363C4xC3^2:A4432,333
D4×C32⋊C6Direct product of D4 and C32⋊C63612+D4xC3^2:C6432,360
D4×C9⋊C6Direct product of D4 and C9⋊C6; = Aut(D36) = Hol(C36)3612+D4xC9:C6432,362
D4×He3⋊C2Direct product of D4 and He3⋊C2366D4xHe3:C2432,390
D9×S4Direct product of D9 and S4366+D9xS4432,521
S3×C3.S4Direct product of S3 and C3.S43612+S3xC3.S4432,522
C3.A422nd central extension by C3 of A42369C3.A4^2432,525
C24⋊He3The semidirect product of C24 and He3 acting via He3/C3=C32369C2^4:He3432,526
C2423- 1+22nd semidirect product of C24 and 3- 1+2 acting via 3- 1+2/C3=C32369C2^4:2ES-(3,1)432,528
C2×He3⋊D4Direct product of C2 and He3⋊D4366+C2xHe3:D4432,530
C6×C3.S4Direct product of C6 and C3.S4366C6xC3.S4432,534
C2×S3×C3.A4Direct product of C2, S3 and C3.A4366C2xS3xC3.A4432,541
C22×C32⋊D6Direct product of C22 and C32⋊D636C2^2xC3^2:D6432,545
C22×C32.A4Direct product of C22 and C32.A436C2^2xC3^2.A4432,549
C22×C32⋊A4Direct product of C22 and C32⋊A436C2^2xC3^2:A4432,550
C62.A49th non-split extension by C62 of A4 acting via A4/C22=C336C6^2.A4432,554
C62⋊A42nd semidirect product of C62 and A4 acting via A4/C22=C336C6^2:A4432,555
C3×C6.7S4Direct product of C3 and C6.7S4366C3xC6.7S4432,618
C3×Dic3×A4Direct product of C3, Dic3 and A4366C3xDic3xA4432,624
C6223D64th semidirect product of C62 and D6 acting via D6/C3=C2236C6^2:23D6432,686
C3⋊S3×S4Direct product of C3⋊S3 and S436C3:S3xS4432,746
C3×A42Direct product of C3, A4 and A4369C3xA4^2432,750
C6×C3⋊S4Direct product of C6 and C3⋊S4366C6xC3:S4432,761
S3×C6×A4Direct product of C6, S3 and A4366S3xC6xA4432,763

On 37 points

Groups of order 37

dρLabelID
C37Cyclic group371C3737,1

Groups of order 74

dρLabelID
D37Dihedral group372+D3774,1

Groups of order 111

dρLabelID
C37⋊C3The semidirect product of C37 and C3 acting faithfully373C37:C3111,1

Groups of order 148

dρLabelID
C37⋊C4The semidirect product of C37 and C4 acting faithfully374+C37:C4148,3

Groups of order 222

dρLabelID
C37⋊C6The semidirect product of C37 and C6 acting faithfully376+C37:C6222,1

Groups of order 333

dρLabelID
C37⋊C9The semidirect product of C37 and C9 acting faithfully379C37:C9333,3

Groups of order 444

dρLabelID
C37⋊C12The semidirect product of C37 and C12 acting faithfully3712+C37:C12444,7

On 38 points

Groups of order 38

dρLabelID
C38Cyclic group381C3838,2

Groups of order 76

dρLabelID
D38Dihedral group; = C2×D19382+D3876,3

Groups of order 114

dρLabelID
C2×C19⋊C3Direct product of C2 and C19⋊C3383C2xC19:C3114,2

Groups of order 228

dρLabelID
C2×C19⋊C6Direct product of C2 and C19⋊C6386+C2xC19:C6228,7

Groups of order 342

dρLabelID
C2×C19⋊C9Direct product of C2 and C19⋊C9389C2xC19:C9342,8

On 39 points

Groups of order 39

dρLabelID
C39Cyclic group391C3939,2

Groups of order 78

dρLabelID
S3×C13Direct product of C13 and S3392S3xC1378,3
C3×D13Direct product of C3 and D13392C3xD1378,4
D39Dihedral group392+D3978,5

Groups of order 117

dρLabelID
C3×C13⋊C3Direct product of C3 and C13⋊C3393C3xC13:C3117,3

Groups of order 156

dρLabelID
C3×C13⋊C4Direct product of C3 and C13⋊C4394C3xC13:C4156,9
C39⋊C41st semidirect product of C39 and C4 acting faithfully394C39:C4156,10
S3×D13Direct product of S3 and D13394+S3xD13156,11

Groups of order 234

dρLabelID
C3×C13⋊C6Direct product of C3 and C13⋊C6396C3xC13:C6234,7
S3×C13⋊C3Direct product of S3 and C13⋊C3396S3xC13:C3234,8
D39⋊C3The semidirect product of D39 and C3 acting faithfully396+D39:C3234,9

Groups of order 312

dρLabelID
S3×C13⋊C4Direct product of S3 and C13⋊C4398+S3xC13:C4312,46

Groups of order 468

dρLabelID
C3×F13Direct product of C3 and F133912C3xF13468,29
C3⋊F13The semidirect product of C3 and F13 acting via F13/C13⋊C6=C23912C3:F13468,30
S3×C13⋊C6Direct product of S3 and C13⋊C63912+S3xC13:C6468,31

On 40 points

Groups of order 40

dρLabelID
C52C8The semidirect product of C5 and C8 acting via C8/C4=C2402C5:2C840,1
C40Cyclic group401C4040,2
C5⋊C8The semidirect product of C5 and C8 acting via C8/C2=C4404-C5:C840,3
Dic10Dicyclic group; = C5Q8402-Dic1040,4
C2×Dic5Direct product of C2 and Dic540C2xDic540,7
C2×C20Abelian group of type [2,20]40C2xC2040,9
C5×Q8Direct product of C5 and Q8402C5xQ840,11
C22×C10Abelian group of type [2,2,10]40C2^2xC1040,14

Groups of order 80

dρLabelID
C8×D5Direct product of C8 and D5402C8xD580,4
C8⋊D53rd semidirect product of C8 and D5 acting via D5/C5=C2402C8:D580,5
C40⋊C22nd semidirect product of C40 and C2 acting faithfully402C40:C280,6
D40Dihedral group402+D4080,7
C4.Dic5The non-split extension by C4 of Dic5 acting via Dic5/C10=C2402C4.Dic580,10
D10⋊C41st semidirect product of D10 and C4 acting via C4/C2=C240D10:C480,14
D4⋊D5The semidirect product of D4 and D5 acting via D5/C5=C2404+D4:D580,15
D4.D5The non-split extension by D4 of D5 acting via D5/C5=C2404-D4.D580,16
Q8⋊D5The semidirect product of Q8 and D5 acting via D5/C5=C2404+Q8:D580,17
C23.D5The non-split extension by C23 of D5 acting via D5/C5=C240C2^3.D580,19
C5×C22⋊C4Direct product of C5 and C22⋊C440C5xC2^2:C480,21
C5×M4(2)Direct product of C5 and M4(2)402C5xM4(2)80,24
C5×D8Direct product of C5 and D8402C5xD880,25
C5×SD16Direct product of C5 and SD16402C5xSD1680,26
D5⋊C8The semidirect product of D5 and C8 acting via C8/C4=C2404D5:C880,28
C4.F5The non-split extension by C4 of F5 acting via F5/D5=C2404C4.F580,29
C22.F5The non-split extension by C22 of F5 acting via F5/D5=C2404-C2^2.F580,33
C2×C4×D5Direct product of C2×C4 and D540C2xC4xD580,36
C2×D20Direct product of C2 and D2040C2xD2080,37
C4○D20Central product of C4 and D20402C4oD2080,38
D42D5The semidirect product of D4 and D5 acting through Inn(D4)404-D4:2D580,40
Q8×D5Direct product of Q8 and D5404-Q8xD580,41
Q82D5The semidirect product of Q8 and D5 acting through Inn(Q8)404+Q8:2D580,42
C2×C5⋊D4Direct product of C2 and C5⋊D440C2xC5:D480,44
D4×C10Direct product of C10 and D440D4xC1080,46
C5×C4○D4Direct product of C5 and C4○D4402C5xC4oD480,48
C23×D5Direct product of C23 and D540C2^3xD580,51

Groups of order 120

dρLabelID
C5×SL2(𝔽3)Direct product of C5 and SL2(𝔽3)402C5xSL(2,3)120,15

Groups of order 160

dρLabelID
D204C41st semidirect product of D20 and C4 acting via C4/C2=C2402D20:4C4160,12
C23.1D101st non-split extension by C23 of D10 acting via D10/C5=C22404C2^3.1D10160,13
C20.46D43rd non-split extension by C20 of D4 acting via D4/C22=C2404+C20.46D4160,30
D207C44th semidirect product of D20 and C4 acting via C4/C2=C2404D20:7C4160,32
C20.D48th non-split extension by C20 of D4 acting via D4/C2=C22404C20.D4160,40
C23⋊Dic5The semidirect product of C23 and Dic5 acting via Dic5/C5=C4404C2^3:Dic5160,41
D42Dic52nd semidirect product of D4 and Dic5 acting via Dic5/C10=C2404D4:2Dic5160,44
C5×C23⋊C4Direct product of C5 and C23⋊C4404C5xC2^3:C4160,49
C5×C4.D4Direct product of C5 and C4.D4404C5xC4.D4160,50
C5×C4≀C2Direct product of C5 and C4≀C2402C5xC4wrC2160,54
C8×F5Direct product of C8 and F5404C8xF5160,66
C8⋊F53rd semidirect product of C8 and F5 acting via F5/D5=C2404C8:F5160,67
C40⋊C42nd semidirect product of C40 and C4 acting faithfully404C40:C4160,68
D5.D8The non-split extension by D5 of D8 acting via D8/C8=C2404D5.D8160,69
D10.D41st non-split extension by D10 of D4 acting via D4/C2=C22404+D10.D4160,74
D10.3Q83rd non-split extension by D10 of Q8 acting via Q8/C4=C240D10.3Q8160,81
D20⋊C41st semidirect product of D20 and C4 acting faithfully408+D20:C4160,82
D4⋊F52nd semidirect product of D4 and F5 acting via F5/D5=C2408-D4:F5160,83
Q8⋊F51st semidirect product of Q8 and F5 acting via F5/D5=C2408-Q8:F5160,84
Q82F52nd semidirect product of Q8 and F5 acting via F5/D5=C2408+Q8:2F5160,85
C23⋊F5The semidirect product of C23 and F5 acting via F5/C5=C4404C2^3:F5160,86
C23.F5The non-split extension by C23 of F5 acting via F5/C5=C4404C2^3.F5160,88
D5×C22⋊C4Direct product of D5 and C22⋊C440D5xC2^2:C4160,101
C22⋊D20The semidirect product of C22 and D20 acting via D20/D10=C240C2^2:D20160,103
D5×M4(2)Direct product of D5 and M4(2)404D5xM4(2)160,127
C8⋊D101st semidirect product of C8 and D10 acting via D10/C5=C22404+C8:D10160,129
D5×D8Direct product of D5 and D8404+D5xD8160,131
D8⋊D52nd semidirect product of D8 and D5 acting via D5/C5=C2404D8:D5160,132
D5×SD16Direct product of D5 and SD16404D5xSD16160,134
D40⋊C26th semidirect product of D40 and C2 acting faithfully404+D40:C2160,135
D4.D101st non-split extension by D4 of D10 acting via D10/C10=C2404D4.D10160,153
C23⋊D101st semidirect product of C23 and D10 acting via D10/C5=C2240C2^3:D10160,158
D4⋊D102nd semidirect product of D4 and D10 acting via D10/C10=C2404+D4:D10160,170
C242D51st semidirect product of C24 and D5 acting via D5/C5=C240C2^4:2D5160,174
C5×C22≀C2Direct product of C5 and C22≀C240C5xC2^2wrC2160,181
C5×C8⋊C22Direct product of C5 and C8⋊C22404C5xC8:C2^2160,197
D5⋊M4(2)The semidirect product of D5 and M4(2) acting via M4(2)/C2×C4=C2404D5:M4(2)160,202
C2×C4×F5Direct product of C2×C4 and F540C2xC4xF5160,203
C2×C4⋊F5Direct product of C2 and C4⋊F540C2xC4:F5160,204
D10.C2311st non-split extension by D10 of C23 acting via C23/C22=C2404D10.C2^3160,205
Q8×F5Direct product of Q8 and F5408-Q8xF5160,209
C2×C22⋊F5Direct product of C2 and C22⋊F540C2xC2^2:F5160,212
C2×D4×D5Direct product of C2, D4 and D540C2xD4xD5160,217
D46D102nd semidirect product of D4 and D10 acting through Inn(D4)404D4:6D10160,219
D5×C4○D4Direct product of D5 and C4○D4404D5xC4oD4160,223
D48D104th semidirect product of D4 and D10 acting through Inn(D4)404+D4:8D10160,224
C5×2+ 1+4Direct product of C5 and 2+ 1+4404C5xES+(2,2)160,232
C23×F5Direct product of C23 and F540C2^3xF5160,236

Groups of order 200

dρLabelID
C5×C52C8Direct product of C5 and C52C8402C5xC5:2C8200,15
C5×C5⋊C8Direct product of C5 and C5⋊C8404C5xC5:C8200,18
C523C82nd semidirect product of C52 and C8 acting via C8/C2=C4404C5^2:3C8200,19
C525C84th semidirect product of C52 and C8 acting via C8/C2=C4404-C5^2:5C8200,21
D5×Dic5Direct product of D5 and Dic5404-D5xDic5200,22
C522D41st semidirect product of C52 and D4 acting via D4/C2=C22404-C5^2:2D4200,24
C522Q8The semidirect product of C52 and Q8 acting via Q8/C2=C22404-C5^2:2Q8200,26
C5×Dic10Direct product of C5 and Dic10402C5xDic10200,27
D5×C20Direct product of C20 and D5402D5xC20200,28
C5×D20Direct product of C5 and D20402C5xD20200,29
C10×Dic5Direct product of C10 and Dic540C10xDic5200,30
C10×F5Direct product of C10 and F5404C10xF5200,45
C2×D5.D5Direct product of C2 and D5.D5404C2xD5.D5200,46
D5×C2×C10Direct product of C2×C10 and D540D5xC2xC10200,50

Groups of order 240

dρLabelID
C2.S52nd central stem extension by C2 of S5404-C2.S5240,90
C5×GL2(𝔽3)Direct product of C5 and GL2(𝔽3)402C5xGL(2,3)240,103
Q8⋊D15The semidirect product of Q8 and D15 acting via D15/C5=S3404+Q8:D15240,106
D5×SL2(𝔽3)Direct product of D5 and SL2(𝔽3)404-D5xSL(2,3)240,109

Groups of order 280

dρLabelID
C5×F8Direct product of C5 and F8407C5xF8280,33

Groups of order 320

dρLabelID
C53C2≀C4The semidirect product of C5 and C2≀C4 acting via C2≀C4/C23⋊C4=C2408+C5:3C2wrC4320,29
C23.2D202nd non-split extension by C23 of D20 acting via D20/C5=D4408+C2^3.2D20320,32
C23.3D203rd non-split extension by C23 of D20 acting via D20/C5=D4408+C2^3.3D20320,33
C242Dic51st semidirect product of C24 and Dic5 acting via Dic5/C5=C4404C2^4:2Dic5320,94
C423Dic53rd semidirect product of C42 and Dic5 acting via Dic5/C5=C4404C4^2:3Dic5320,103
C5×C2≀C4Direct product of C5 and C2≀C4404C5xC2wrC4320,156
C5×C42⋊C4Direct product of C5 and C42⋊C4404C5xC4^2:C4320,158
C42⋊F51st semidirect product of C42 and F5 acting via F5/C5=C4404+C4^2:F5320,191
C426F53rd semidirect product of C42 and F5 acting via F5/D5=C2404C4^2:6F5320,200
C5⋊C2≀C4The semidirect product of C5 and C2≀C4 acting via C2≀C4/C22⋊C4=C4408+C5:C2wrC4320,202
(C22×F5)⋊C4The semidirect product of C22×F5 and C4 acting faithfully408+(C2^2xF5):C4320,204
M4(2)⋊F52nd semidirect product of M4(2) and F5 acting via F5/D5=C2408M4(2):F5320,237
M4(2)⋊3F53rd semidirect product of M4(2) and F5 acting via F5/D5=C2408M4(2):3F5320,238
(C2×D4)⋊F52nd semidirect product of C2×D4 and F5 acting via F5/C5=C4408+(C2xD4):F5320,260
C242F51st semidirect product of C24 and F5 acting via F5/C5=C4404C2^4:2F5320,272
C23⋊D20The semidirect product of C23 and D20 acting via D20/C5=D4408+C2^3:D20320,368
D5×C23⋊C4Direct product of D5 and C23⋊C4408+D5xC2^3:C4320,370
D5×C4.D4Direct product of D5 and C4.D4408+D5xC4.D4320,371
D201D41st semidirect product of D20 and D4 acting via D4/C2=C22408+D20:1D4320,374
D5×C4≀C2Direct product of D5 and C4≀C2404D5xC4wrC2320,447
D44D203rd semidirect product of D4 and D20 acting via D20/D10=C2404+D4:4D20320,449
C242D101st semidirect product of C24 and D10 acting via D10/C5=C22404C2^4:2D10320,659
D205D45th semidirect product of D20 and D4 acting via D4/C2=C22404D20:5D4320,704
D2018D46th semidirect product of D20 and D4 acting via D4/C22=C2408+D20:18D4320,825
2+ 1+4⋊D51st semidirect product of 2+ 1+4 and D5 acting via D5/C5=C2408+ES+(2,2):D5320,868
2+ 1+42D52nd semidirect product of 2+ 1+4 and D5 acting via D5/C5=C2408+ES+(2,2):2D5320,871
C5×D44D4Direct product of C5 and D44D4404C5xD4:4D4320,954
C5×C2≀C22Direct product of C5 and C2≀C22404C5xC2wrC2^2320,958
C22⋊C4×F5Direct product of C22⋊C4 and F540C2^2:C4xF5320,1036
D10⋊(C4⋊C4)The semidirect product of D10 and C4⋊C4 acting via C4⋊C4/C22=C2240D10:(C4:C4)320,1037
M4(2)×F5Direct product of M4(2) and F5408M4(2)xF5320,1064
M4(2)⋊1F51st semidirect product of M4(2) and F5 acting via F5/D5=C2408M4(2):1F5320,1065
D8×F5Direct product of D8 and F5408+D8xF5320,1068
D40⋊C42nd semidirect product of D40 and C4 acting faithfully408+D40:C4320,1069
SD16×F5Direct product of SD16 and F5408SD16xF5320,1072
SD16⋊F51st semidirect product of SD16 and F5 acting via F5/D5=C2408SD16:F5320,1073
(D4×C10)⋊C46th semidirect product of D4×C10 and C4 acting faithfully408+(D4xC10):C4320,1105
(C2×D4)⋊7F55th semidirect product of C2×D4 and F5 acting via F5/D5=C2408+(C2xD4):7F5320,1108
D5⋊(C4.D4)The semidirect product of D5 and C4.D4 acting via C4.D4/C2×D4=C2408+D5:(C4.D4)320,1116
(C2×F5)⋊D4The semidirect product of C2×F5 and D4 acting via D4/C22=C240(C2xF5):D4320,1117
D5⋊C4≀C2The semidirect product of D5 and C4≀C2 acting via C4≀C2/C4○D4=C2408D5:C4wrC2320,1130
C4○D4⋊F52nd semidirect product of C4○D4 and F5 acting via F5/D5=C2408C4oD4:F5320,1131
C244F51st semidirect product of C24 and F5 acting via F5/D5=C240C2^4:4F5320,1138
D5×C22≀C2Direct product of D5 and C22≀C240D5xC2^2wrC2320,1260
D5×C8⋊C22Direct product of D5 and C8⋊C22408+D5xC8:C2^2320,1444
C2×D4×F5Direct product of C2, D4 and F540C2xD4xF5320,1595
D10.C2415th non-split extension by D10 of C24 acting via C24/C23=C2408+D10.C2^4320,1596
C4○D4×F5Direct product of C4○D4 and F5408C4oD4xF5320,1603
D5.2+ 1+4The non-split extension by D5 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C2408D5.ES+(2,2)320,1604
D5×2+ 1+4Direct product of D5 and 2+ 1+4408+D5xES+(2,2)320,1622

Groups of order 400

dρLabelID
C20.29D103rd non-split extension by C20 of D10 acting via D10/D5=C2404C20.29D10400,61
C20.31D105th non-split extension by C20 of D10 acting via D10/D5=C2404C20.31D10400,63
C5⋊D40The semidirect product of C5 and D40 acting via D40/D20=C2404+C5:D40400,65
C524SD163rd semidirect product of C52 and SD16 acting via SD16/C4=C22404+C5^2:4SD16400,68
C10.D206th non-split extension by C10 of D20 acting via D20/D10=C240C10.D20400,73
C5×C4.Dic5Direct product of C5 and C4.Dic5402C5xC4.Dic5400,82
C5×D4⋊D5Direct product of C5 and D4⋊D5404C5xD4:D5400,87
C5×D4.D5Direct product of C5 and D4.D5404C5xD4.D5400,88
C5×C23.D5Direct product of C5 and C23.D540C5xC2^3.D5400,91
D5.D20The non-split extension by D5 of D20 acting via D20/D10=C2408+D5.D20400,118
Dic5.4F5The non-split extension by Dic5 of F5 acting through Inn(Dic5)408+Dic5.4F5400,121
Dic5.F51st non-split extension by Dic5 of F5 acting via F5/D5=C2408+Dic5.F5400,123
C52⋊D8The semidirect product of C52 and D8 acting via D8/C2=D4404C5^2:D8400,131
C52⋊SD16The semidirect product of C52 and SD16 acting via SD16/C2=D4404-C5^2:SD16400,132
C5×C22.F5Direct product of C5 and C22.F5404C5xC2^2.F5400,140
C5×C22⋊F5Direct product of C5 and C22⋊F5404C5xC2^2:F5400,141
C102.C44th non-split extension by C102 of C4 acting faithfully404C10^2.C4400,147
D10.D105th non-split extension by D10 of D10 acting via D10/C10=C2404D10.D10400,148
C20.11F511st non-split extension by C20 of F5 acting via F5/C5=C4404C20.11F5400,156
C528M4(2)4th semidirect product of C52 and M4(2) acting via M4(2)/C4=C4404C5^2:8M4(2)400,157
C4×C52⋊C4Direct product of C4 and C52⋊C4404C4xC5^2:C4400,158
C202F52nd semidirect product of C20 and F5 acting via F5/C5=C4404C20:2F5400,159
C5214M4(2)4th semidirect product of C52 and M4(2) acting via M4(2)/C22=C4404-C5^2:14M4(2)400,161
D20⋊D53rd semidirect product of D20 and D5 acting via D5/C5=C2404D20:D5400,165
Dic10⋊D54th semidirect product of Dic10 and D5 acting via D5/C5=C2404Dic10:D5400,166
D10.9D101st non-split extension by D10 of D10 acting via D10/C10=C2404D10.9D10400,167
Dic105D5The semidirect product of Dic10 and D5 acting through Inn(Dic10)404+Dic10:5D5400,168
C4×D52Direct product of C4, D5 and D5404C4xD5^2400,169
D5×D20Direct product of D5 and D20404+D5xD20400,170
C20⋊D102nd semidirect product of C20 and D10 acting via D10/C5=C22404C20:D10400,171
Dic5.D103rd non-split extension by Dic5 of D10 acting via D10/D5=C2404Dic5.D10400,173
D10.4D104th non-split extension by D10 of D10 acting via D10/D5=C2404-D10.4D10400,174
C2×Dic52D5Direct product of C2 and Dic52D540C2xDic5:2D5400,175
C2×C5⋊D20Direct product of C2 and C5⋊D2040C2xC5:D20400,177
D5×C5⋊D4Direct product of D5 and C5⋊D4404D5xC5:D4400,179
C5×C4○D20Direct product of C5 and C4○D20402C5xC4oD20400,184
C5×D4×D5Direct product of C5, D4 and D5404C5xD4xD5400,185
C5×D42D5Direct product of C5 and D42D5404C5xD4:2D5400,186
C10×C5⋊D4Direct product of C10 and C5⋊D440C10xC5:D4400,190
C2×D5×F5Direct product of C2, D5 and F5408+C2xD5xF5400,209
C22×C52⋊C4Direct product of C22 and C52⋊C440C2^2xC5^2:C4400,217
C22×D52Direct product of C22, D5 and D540C2^2xD5^2400,218

Groups of order 480

dρLabelID
A5⋊C8The semidirect product of A5 and C8 acting via C8/C4=C2404A5:C8480,217
C8×A5Direct product of C8 and A5403C8xA5480,220
(C22×D5)⋊A4The semidirect product of C22×D5 and A4 acting faithfully406(C2^2xD5):A4480,268
C5×C24⋊C6Direct product of C5 and C24⋊C6406C5xC2^4:C6480,656
C4.3S53rd non-split extension by C4 of S5 acting via S5/A5=C2404C4.3S5480,948
C2×C4×A5Direct product of C2×C4 and A540C2xC4xA5480,954
Q8×A5Direct product of Q8 and A5406-Q8xA5480,958
D10.S43rd non-split extension by D10 of S4 acting via S4/A4=C2408-D10.S4480,962
F5×SL2(𝔽3)Direct product of F5 and SL2(𝔽3)408-F5xSL(2,3)480,965
D5×GL2(𝔽3)Direct product of D5 and GL2(𝔽3)404D5xGL(2,3)480,974
C5×C23⋊A4Direct product of C5 and C23⋊A4404C5xC2^3:A4480,1134
C23×A5Direct product of C23 and A540C2^3xA5480,1187
C5×C22⋊S4Direct product of C5 and C22⋊S4406C5xC2^2:S4480,1200
C244D153rd semidirect product of C24 and D15 acting via D15/C5=S3406C2^4:4D15480,1201

On 41 points

Groups of order 41

dρLabelID
C41Cyclic group411C4141,1

Groups of order 82

dρLabelID
D41Dihedral group412+D4182,1

Groups of order 164

dρLabelID
C41⋊C4The semidirect product of C41 and C4 acting faithfully414+C41:C4164,3

Groups of order 205

dρLabelID
C41⋊C5The semidirect product of C41 and C5 acting faithfully415C41:C5205,1

Groups of order 328

dρLabelID
C41⋊C8The semidirect product of C41 and C8 acting faithfully418+C41:C8328,12

Groups of order 410

dρLabelID
C41⋊C10The semidirect product of C41 and C10 acting faithfully4110+C41:C10410,1

On 42 points

Groups of order 42

dρLabelID
C42Cyclic group421C4242,6

Groups of order 84

dρLabelID
C6×D7Direct product of C6 and D7422C6xD784,12
S3×C14Direct product of C14 and S3422S3xC1484,13
D42Dihedral group; = C2×D21422+D4284,14

Groups of order 126

dρLabelID
C6×C7⋊C3Direct product of C6 and C7⋊C3423C6xC7:C3126,10
S3×C21Direct product of C21 and S3422S3xC21126,12
C3×D21Direct product of C3 and D21422C3xD21126,13

Groups of order 168

dρLabelID
C2×S3×D7Direct product of C2, S3 and D7424+C2xS3xD7168,50
A4×C14Direct product of C14 and A4423A4xC14168,52
C2×C7⋊A4Direct product of C2 and C7⋊A4423C2xC7:A4168,53

Groups of order 252

dρLabelID
C6×F7Direct product of C6 and F7426C6xF7252,28
C2×S3×C7⋊C3Direct product of C2, S3 and C7⋊C3426C2xS3xC7:C3252,29
C2×C3⋊F7Direct product of C2 and C3⋊F7426+C2xC3:F7252,30
C7×C32⋊C4Direct product of C7 and C32⋊C4424C7xC3^2:C4252,31
C32⋊Dic7The semidirect product of C32 and Dic7 acting via Dic7/C7=C4424C3^2:Dic7252,32
C3×S3×D7Direct product of C3, S3 and D7424C3xS3xD7252,33
S32×C7Direct product of C7, S3 and S3424S3^2xC7252,35
S3×D21Direct product of S3 and D21424+S3xD21252,36
D21⋊S3The semidirect product of D21 and S3 acting via S3/C3=C2424D21:S3252,37

Groups of order 294

dρLabelID
C7×F7Direct product of C7 and F7426C7xF7294,8
D7×C7⋊C3Direct product of D7 and C7⋊C3426D7xC7:C3294,9
C73F71st semidirect product of C7 and F7 acting via F7/D7=C3426C7:3F7294,11
C14×C7⋊C3Direct product of C14 and C7⋊C3423C14xC7:C3294,15
C2×C723C3Direct product of C2 and C723C3423C2xC7^2:3C3294,17
D7×C21Direct product of C21 and D7422D7xC21294,18
C7×D21Direct product of C7 and D21422C7xD21294,21

Groups of order 336

dρLabelID
C6×F8Direct product of C6 and F8427C6xF8336,213
C14×S4Direct product of C14 and S4423C14xS4336,214
C2×C7⋊S4Direct product of C2 and C7⋊S4426+C2xC7:S4336,215
C2×A4×D7Direct product of C2, A4 and D7426+C2xA4xD7336,217
C2×D7⋊A4Direct product of C2 and D7⋊A4426+C2xD7:A4336,218

Groups of order 378

dρLabelID
C3×S3×C7⋊C3Direct product of C3, S3 and C7⋊C3426C3xS3xC7:C3378,48
C3×C3⋊F7Direct product of C3 and C3⋊F7426C3xC3:F7378,49

On 43 points

Groups of order 43

dρLabelID
C43Cyclic group431C4343,1

Groups of order 86

dρLabelID
D43Dihedral group432+D4386,1

Groups of order 129

dρLabelID
C43⋊C3The semidirect product of C43 and C3 acting faithfully433C43:C3129,1

Groups of order 258

dρLabelID
C43⋊C6The semidirect product of C43 and C6 acting faithfully436+C43:C6258,1

Groups of order 301

dρLabelID
C43⋊C7The semidirect product of C43 and C7 acting faithfully437C43:C7301,1

On 44 points

Groups of order 44

dρLabelID
Dic11Dicyclic group; = C11C4442-Dic1144,1
C44Cyclic group441C4444,2
C2×C22Abelian group of type [2,22]44C2xC2244,4

Groups of order 88

dρLabelID
C4×D11Direct product of C4 and D11442C4xD1188,4
D44Dihedral group442+D4488,5
C11⋊D4The semidirect product of C11 and D4 acting via D4/C22=C2442C11:D488,7
D4×C11Direct product of C11 and D4442D4xC1188,9
C22×D11Direct product of C22 and D1144C2^2xD1188,11

Groups of order 132

dρLabelID
C11×A4Direct product of C11 and A4443C11xA4132,6

Groups of order 176

dρLabelID
D4×D11Direct product of D4 and D11444+D4xD11176,31

Groups of order 220

dρLabelID
C11⋊C20The semidirect product of C11 and C20 acting via C20/C2=C104410-C11:C20220,1
C4×C11⋊C5Direct product of C4 and C11⋊C5445C4xC11:C5220,2
C22×C11⋊C5Direct product of C22 and C11⋊C544C2^2xC11:C5220,8

Groups of order 264

dρLabelID
C11×S4Direct product of C11 and S4443C11xS4264,31
C11⋊S4The semidirect product of C11 and S4 acting via S4/A4=C2446+C11:S4264,32
A4×D11Direct product of A4 and D11446+A4xD11264,33

Groups of order 440

dρLabelID
C4×F11Direct product of C4 and F114410C4xF11440,8
D44⋊C5The semidirect product of D44 and C5 acting faithfully4410+D44:C5440,9
C22⋊F11The semidirect product of C22 and F11 acting via F11/C11⋊C5=C24410C2^2:F11440,11
D4×C11⋊C5Direct product of D4 and C11⋊C54410D4xC11:C5440,13
C22×F11Direct product of C22 and F1144C2^2xF11440,42

Groups of order 484

dρLabelID
C11×Dic11Direct product of C11 and Dic11442C11xDic11484,5
D11×C22Direct product of C22 and D11442D11xC22484,10

On 45 points

Groups of order 45

dρLabelID
C45Cyclic group451C4545,1
C3×C15Abelian group of type [3,15]45C3xC1545,2

Groups of order 90

dρLabelID
C5×D9Direct product of C5 and D9452C5xD990,1
C9×D5Direct product of C9 and D5452C9xD590,2
D45Dihedral group452+D4590,3
C32×D5Direct product of C32 and D545C3^2xD590,5
C5×C3⋊S3Direct product of C5 and C3⋊S345C5xC3:S390,8
C3⋊D15The semidirect product of C3 and D15 acting via D15/C15=C245C3:D1590,9

Groups of order 135

dρLabelID
C5×He3Direct product of C5 and He3453C5xHe3135,3
C5×3- 1+2Direct product of C5 and 3- 1+2453C5xES-(3,1)135,4

Groups of order 180

dρLabelID
C9×F5Direct product of C9 and F5454C9xF5180,5
C9⋊F5The semidirect product of C9 and F5 acting via F5/D5=C2454C9:F5180,6
D5×D9Direct product of D5 and D9454+D5xD9180,7
C32×F5Direct product of C32 and F545C3^2xF5180,20
C323F52nd semidirect product of C32 and F5 acting via F5/D5=C245C3^2:3F5180,22
D5×C3⋊S3Direct product of D5 and C3⋊S345D5xC3:S3180,27

Groups of order 225

dρLabelID
C52⋊C9The semidirect product of C52 and C9 acting via C9/C3=C3453C5^2:C9225,3
C3×C52⋊C3Direct product of C3 and C52⋊C3453C3xC5^2:C3225,5

Groups of order 270

dρLabelID
D5×He3Direct product of D5 and He3456D5xHe3270,6
D5×3- 1+2Direct product of D5 and 3- 1+2456D5xES-(3,1)270,7
C5×C32⋊C6Direct product of C5 and C32⋊C6456C5xC3^2:C6270,10
C5×C9⋊C6Direct product of C5 and C9⋊C6456C5xC9:C6270,11
He3⋊D51st semidirect product of He3 and D5 acting via D5/C5=C2456+He3:D5270,14
D45⋊C3The semidirect product of D45 and C3 acting faithfully456+D45:C3270,15
C5×He3⋊C2Direct product of C5 and He3⋊C2453C5xHe3:C2270,17
C32⋊D152nd semidirect product of C32 and D15 acting via D15/C5=S3456C3^2:D15270,19

Groups of order 360

dρLabelID
D9×F5Direct product of D9 and F5458+D9xF5360,39
C5×F9Direct product of C5 and F9458C5xF9360,123
C52F9The semidirect product of C5 and F9 acting via F9/C32⋊C4=C2458C5:2F9360,124
C5⋊F9The semidirect product of C5 and F9 acting via F9/C3⋊S3=C4458C5:F9360,125
C3⋊S3×F5Direct product of C3⋊S3 and F545C3:S3xF5360,127
C5×PSU3(𝔽2)Direct product of C5 and PSU3(𝔽2)458C5xPSU(3,2)360,135
C32⋊Dic10The semidirect product of C32 and Dic10 acting via Dic10/C5=Q8458C3^2:Dic10360,136

Groups of order 405

dρLabelID
C5×C3≀C3Direct product of C5 and C3≀C3453C5xC3wrC3405,7

Groups of order 450

dρLabelID
C52⋊D9The semidirect product of C52 and D9 acting via D9/C3=S3456+C5^2:D9450,11
C52⋊C18The semidirect product of C52 and C18 acting via C18/C3=C6456C5^2:C18450,12
C3×C52⋊S3Direct product of C3 and C52⋊S3453C3xC5^2:S3450,20
C52⋊(C3⋊S3)The semidirect product of C52 and C3⋊S3 acting via C3⋊S3/C3=S3456+C5^2:(C3:S3)450,21
C3×C52⋊C6Direct product of C3 and C52⋊C6456C3xC5^2:C6450,22
S3×C52⋊C3Direct product of S3 and C52⋊C3456S3xC5^2:C3450,23
C5⋊D15⋊C3The semidirect product of C5⋊D15 and C3 acting faithfully456+C5:D15:C3450,24

On 46 points

Groups of order 46

dρLabelID
C46Cyclic group461C4646,2

Groups of order 92

dρLabelID
D46Dihedral group; = C2×D23462+D4692,3

On 47 points

Groups of order 47

dρLabelID
C47Cyclic group471C4747,1

Groups of order 94

dρLabelID
D47Dihedral group472+D4794,1

On 48 points

Groups of order 48

dρLabelID
C3⋊C16The semidirect product of C3 and C16 acting via C16/C8=C2482C3:C1648,1
C48Cyclic group481C4848,2
Dic12Dicyclic group; = C31Q16482-Dic1248,8
C2×C3⋊C8Direct product of C2 and C3⋊C848C2xC3:C848,9
C4×Dic3Direct product of C4 and Dic348C4xDic348,11
Dic3⋊C4The semidirect product of Dic3 and C4 acting via C4/C2=C248Dic3:C448,12
C4⋊Dic3The semidirect product of C4 and Dic3 acting via Dic3/C6=C248C4:Dic348,13
C3⋊Q16The semidirect product of C3 and Q16 acting via Q16/Q8=C2484-C3:Q1648,18
C4×C12Abelian group of type [4,12]48C4xC1248,20
C3×C4⋊C4Direct product of C3 and C4⋊C448C3xC4:C448,22
C2×C24Abelian group of type [2,24]48C2xC2448,23
C3×Q16Direct product of C3 and Q16482C3xQ1648,27
C2×Dic6Direct product of C2 and Dic648C2xDic648,34
C22×Dic3Direct product of C22 and Dic348C2^2xDic348,42
C22×C12Abelian group of type [2,2,12]48C2^2xC1248,44
C6×Q8Direct product of C6 and Q848C6xQ848,46
C23×C6Abelian group of type [2,2,2,6]48C2^3xC648,52

Groups of order 96

dρLabelID
S3×C16Direct product of C16 and S3482S3xC1696,4
D6.C8The non-split extension by D6 of C8 acting via C8/C4=C2482D6.C896,5
D48Dihedral group482+D4896,6
C48⋊C22nd semidirect product of C48 and C2 acting faithfully482C48:C296,7
C6.D82nd non-split extension by C6 of D8 acting via D8/D4=C248C6.D896,16
C12.C81st non-split extension by C12 of C8 acting via C8/C4=C2482C12.C896,19
C24.C41st non-split extension by C24 of C4 acting via C4/C2=C2482C24.C496,26
D6⋊C8The semidirect product of D6 and C8 acting via C8/C4=C248D6:C896,27
C2.D242nd central extension by C2 of D2448C2.D2496,28
C12.53D410th non-split extension by C12 of D4 acting via D4/C22=C2484C12.53D496,29
C12.47D44th non-split extension by C12 of D4 acting via D4/C22=C2484-C12.47D496,31
C3⋊D16The semidirect product of C3 and D16 acting via D16/D8=C2484+C3:D1696,33
D8.S3The non-split extension by D8 of S3 acting via S3/C3=C2484-D8.S396,34
C8.6D63rd non-split extension by C8 of D6 acting via D6/S3=C2484+C8.6D696,35
C12.55D412nd non-split extension by C12 of D4 acting via D4/C22=C248C12.55D496,37
D4⋊Dic31st semidirect product of D4 and Dic3 acting via Dic3/C6=C248D4:Dic396,39
C12.10D410th non-split extension by C12 of D4 acting via D4/C2=C22484C12.10D496,43
C3×C22⋊C8Direct product of C3 and C22⋊C848C3xC2^2:C896,48
C3×C4.10D4Direct product of C3 and C4.10D4484C3xC4.10D496,51
C3×D4⋊C4Direct product of C3 and D4⋊C448C3xD4:C496,52
C3×C8.C4Direct product of C3 and C8.C4482C3xC8.C496,58
C3×M5(2)Direct product of C3 and M5(2)482C3xM5(2)96,60
C3×D16Direct product of C3 and D16482C3xD1696,61
C3×SD32Direct product of C3 and SD32482C3xSD3296,62
S3×C42Direct product of C42 and S348S3xC4^296,78
C422S31st semidirect product of C42 and S3 acting via S3/C3=C248C4^2:2S396,79
C4×D12Direct product of C4 and D1248C4xD1296,80
C4⋊D12The semidirect product of C4 and D12 acting via D12/C12=C248C4:D1296,81
C427S36th semidirect product of C42 and S3 acting via S3/C3=C248C4^2:7S396,82
C423S32nd semidirect product of C42 and S3 acting via S3/C3=C248C4^2:3S396,83
C23.16D61st non-split extension by C23 of D6 acting via D6/S3=C248C2^3.16D696,84
Dic3.D41st non-split extension by Dic3 of D4 acting via D4/C22=C248Dic3.D496,85
C23.8D63rd non-split extension by C23 of D6 acting via D6/C3=C2248C2^3.8D696,86
Dic34D41st semidirect product of Dic3 and D4 acting through Inn(Dic3)48Dic3:4D496,88
C23.9D64th non-split extension by C23 of D6 acting via D6/C3=C2248C2^3.9D696,90
Dic3⋊D41st semidirect product of Dic3 and D4 acting via D4/C22=C248Dic3:D496,91
C23.11D66th non-split extension by C23 of D6 acting via D6/C3=C2248C2^3.11D696,92
C23.21D66th non-split extension by C23 of D6 acting via D6/S3=C248C2^3.21D696,93
S3×C4⋊C4Direct product of S3 and C4⋊C448S3xC4:C496,98
C4⋊C47S31st semidirect product of C4⋊C4 and S3 acting through Inn(C4⋊C4)48C4:C4:7S396,99
Dic35D42nd semidirect product of Dic3 and D4 acting through Inn(Dic3)48Dic3:5D496,100
D6.D42nd non-split extension by D6 of D4 acting via D4/C22=C248D6.D496,101
C12⋊D41st semidirect product of C12 and D4 acting via D4/C2=C2248C12:D496,102
D6⋊Q81st semidirect product of D6 and Q8 acting via Q8/C4=C248D6:Q896,103
C4.D125th non-split extension by C4 of D12 acting via D12/D6=C248C4.D1296,104
C4⋊C4⋊S36th semidirect product of C4⋊C4 and S3 acting via S3/C3=C248C4:C4:S396,105
S3×C2×C8Direct product of C2×C8 and S348S3xC2xC896,106
C2×C8⋊S3Direct product of C2 and C8⋊S348C2xC8:S396,107
C8○D12Central product of C8 and D12482C8oD1296,108
C2×C24⋊C2Direct product of C2 and C24⋊C248C2xC24:C296,109
C2×D24Direct product of C2 and D2448C2xD2496,110
C4○D24Central product of C4 and D24482C4oD2496,111
D12.C4The non-split extension by D12 of C4 acting via C4/C2=C2484D12.C496,114
C8.D61st non-split extension by C8 of D6 acting via D6/C3=C22484-C8.D696,116
D83S3The semidirect product of D8 and S3 acting through Inn(D8)484-D8:3S396,119
D4.D64th non-split extension by D4 of D6 acting via D6/S3=C2484-D4.D696,122
Q8.7D62nd non-split extension by Q8 of D6 acting via D6/S3=C2484Q8.7D696,123
S3×Q16Direct product of S3 and Q16484-S3xQ1696,124
Q16⋊S32nd semidirect product of Q16 and S3 acting via S3/C3=C2484Q16:S396,125
D24⋊C25th semidirect product of D24 and C2 acting faithfully484+D24:C296,126
C2×C4.Dic3Direct product of C2 and C4.Dic348C2xC4.Dic396,128
C12.48D45th non-split extension by C12 of D4 acting via D4/C22=C248C12.48D496,131
C23.26D62nd non-split extension by C23 of D6 acting via D6/C6=C248C2^3.26D696,133
C2×D6⋊C4Direct product of C2 and D6⋊C448C2xD6:C496,134
C4×C3⋊D4Direct product of C4 and C3⋊D448C4xC3:D496,135
C23.28D64th non-split extension by C23 of D6 acting via D6/C6=C248C2^3.28D696,136
C127D41st semidirect product of C12 and D4 acting via D4/C22=C248C12:7D496,137
C2×D4⋊S3Direct product of C2 and D4⋊S348C2xD4:S396,138
C2×D4.S3Direct product of C2 and D4.S348C2xD4.S396,140
D4×Dic3Direct product of D4 and Dic348D4xDic396,141
C23.23D68th non-split extension by C23 of D6 acting via D6/S3=C248C2^3.23D696,142
C23.12D67th non-split extension by C23 of D6 acting via D6/C3=C2248C2^3.12D696,143
D63D43rd semidirect product of D6 and D4 acting via D4/C4=C248D6:3D496,145
C23.14D69th non-split extension by C23 of D6 acting via D6/C3=C2248C2^3.14D696,146
C123D43rd semidirect product of C12 and D4 acting via D4/C2=C2248C12:3D496,147
C2×Q82S3Direct product of C2 and Q82S348C2xQ8:2S396,148
Q8.11D61st non-split extension by Q8 of D6 acting via D6/C6=C2484Q8.11D696,149
D63Q83rd semidirect product of D6 and Q8 acting via Q8/C4=C248D6:3Q896,153
C12.23D423rd non-split extension by C12 of D4 acting via D4/C2=C2248C12.23D496,154
D4.Dic3The non-split extension by D4 of Dic3 acting through Inn(D4)484D4.Dic396,155
Q8.13D63rd non-split extension by Q8 of D6 acting via D6/C6=C2484Q8.13D696,157
Q8.14D64th non-split extension by Q8 of D6 acting via D6/C6=C2484-Q8.14D696,158
C2×C6.D4Direct product of C2 and C6.D448C2xC6.D496,159
C6×C22⋊C4Direct product of C6 and C22⋊C448C6xC2^2:C496,162
C3×C42⋊C2Direct product of C3 and C42⋊C248C3xC4^2:C296,164
D4×C12Direct product of C12 and D448D4xC1296,165
C3×C4⋊D4Direct product of C3 and C4⋊D448C3xC4:D496,168
C3×C22⋊Q8Direct product of C3 and C22⋊Q848C3xC2^2:Q896,169
C3×C22.D4Direct product of C3 and C22.D448C3xC2^2.D496,170
C3×C4.4D4Direct product of C3 and C4.4D448C3xC4.4D496,171
C3×C422C2Direct product of C3 and C422C248C3xC4^2:2C296,173
C3×C41D4Direct product of C3 and C41D448C3xC4:1D496,174
C6×M4(2)Direct product of C6 and M4(2)48C6xM4(2)96,177
C3×C8○D4Direct product of C3 and C8○D4482C3xC8oD496,178
C6×D8Direct product of C6 and D848C6xD896,179
C6×SD16Direct product of C6 and SD1648C6xSD1696,180
C3×C4○D8Direct product of C3 and C4○D8482C3xC4oD896,182
C3×C8.C22Direct product of C3 and C8.C22484C3xC8.C2^296,184
S3×C22×C4Direct product of C22×C4 and S348S3xC2^2xC496,206
C22×D12Direct product of C22 and D1248C2^2xD1296,207
C2×C4○D12Direct product of C2 and C4○D1248C2xC4oD1296,208
C2×D42S3Direct product of C2 and D42S348C2xD4:2S396,210
C2×S3×Q8Direct product of C2, S3 and Q848C2xS3xQ896,212
C2×Q83S3Direct product of C2 and Q83S348C2xQ8:3S396,213
Q8.15D61st non-split extension by Q8 of D6 acting through Inn(Q8)484Q8.15D696,214
Q8○D12Central product of Q8 and D12484-Q8oD1296,217
C22×C3⋊D4Direct product of C22 and C3⋊D448C2^2xC3:D496,219
D4×C2×C6Direct product of C2×C6 and D448D4xC2xC696,221
C6×C4○D4Direct product of C6 and C4○D448C6xC4oD496,223
C3×2- 1+4Direct product of C3 and 2- 1+4484C3xES-(2,2)96,225
S3×C24Direct product of C24 and S348S3xC2^496,230

Groups of order 144

dρLabelID
C3×C3⋊C16Direct product of C3 and C3⋊C16482C3xC3:C16144,28
C322C16The semidirect product of C32 and C16 acting via C16/C4=C4484C3^2:2C16144,51
S3×C3⋊C8Direct product of S3 and C3⋊C8484S3xC3:C8144,52
D6.Dic3The non-split extension by D6 of Dic3 acting via Dic3/C6=C2484D6.Dic3144,54
C322D81st semidirect product of C32 and D8 acting via D8/C4=C22484C3^2:2D8144,56
Dic6⋊S32nd semidirect product of Dic6 and S3 acting via S3/C3=C2484Dic6:S3144,58
D12.S31st non-split extension by D12 of S3 acting via S3/C3=C2484-D12.S3144,59
C322Q161st semidirect product of C32 and Q16 acting via Q16/C4=C22484C3^2:2Q16144,61
C323Q162nd semidirect product of C32 and Q16 acting via Q16/C4=C22484-C3^2:3Q16144,62
Dic32Direct product of Dic3 and Dic348Dic3^2144,63
D6⋊Dic3The semidirect product of D6 and Dic3 acting via Dic3/C6=C248D6:Dic3144,64
Dic3⋊Dic3The semidirect product of Dic3 and Dic3 acting via Dic3/C6=C248Dic3:Dic3144,66
C62.C225th non-split extension by C62 of C22 acting faithfully48C6^2.C2^2144,67
S3×C24Direct product of C24 and S3482S3xC24144,69
C3×C8⋊S3Direct product of C3 and C8⋊S3482C3xC8:S3144,70
C3×C24⋊C2Direct product of C3 and C24⋊C2482C3xC24:C2144,71
C3×D24Direct product of C3 and D24482C3xD24144,72
C3×Dic12Direct product of C3 and Dic12482C3xDic12144,73
C6×C3⋊C8Direct product of C6 and C3⋊C848C6xC3:C8144,74
Dic3×C12Direct product of C12 and Dic348Dic3xC12144,76
C3×Dic3⋊C4Direct product of C3 and Dic3⋊C448C3xDic3:C4144,77
C3×C4⋊Dic3Direct product of C3 and C4⋊Dic348C3xC4:Dic3144,78
C3×D6⋊C4Direct product of C3 and D6⋊C448C3xD6:C4144,79
C3×Q82S3Direct product of C3 and Q82S3484C3xQ8:2S3144,82
C3×C3⋊Q16Direct product of C3 and C3⋊Q16484C3xC3:Q16144,83
C2.F9The central extension by C2 of F9488-C2.F9144,114
C32⋊Q16The semidirect product of C32 and Q16 acting via Q16/C2=D4484-C3^2:Q16144,119
C3×CSU2(𝔽3)Direct product of C3 and CSU2(𝔽3)482C3xCSU(2,3)144,121
C6.5S45th non-split extension by C6 of S4 acting via S4/A4=C2484-C6.5S4144,124
Dic3.A4The non-split extension by Dic3 of A4 acting through Inn(Dic3)484+Dic3.A4144,127
C2×C322C8Direct product of C2 and C322C848C2xC3^2:2C8144,134
S3×Dic6Direct product of S3 and Dic6484-S3xDic6144,137
D125S3The semidirect product of D12 and S3 acting through Inn(D12)484-D12:5S3144,138
C2×S3×Dic3Direct product of C2, S3 and Dic348C2xS3xDic3144,146
C2×D6⋊S3Direct product of C2 and D6⋊S348C2xD6:S3144,150
C2×C322Q8Direct product of C2 and C322Q848C2xC3^2:2Q8144,152
C6×SL2(𝔽3)Direct product of C6 and SL2(𝔽3)48C6xSL(2,3)144,156
C3×C4.A4Direct product of C3 and C4.A4482C3xC4.A4144,157
C6×Dic6Direct product of C6 and Dic648C6xDic6144,158
S3×C2×C12Direct product of C2×C12 and S348S3xC2xC12144,159
C6×D12Direct product of C6 and D1248C6xD12144,160
C3×S3×Q8Direct product of C3, S3 and Q8484C3xS3xQ8144,164
C3×Q83S3Direct product of C3 and Q83S3484C3xQ8:3S3144,165
Dic3×C2×C6Direct product of C2×C6 and Dic348Dic3xC2xC6144,166
S3×C22×C6Direct product of C22×C6 and S348S3xC2^2xC6144,195

Groups of order 192

dρLabelID
C6.C4≀C21st non-split extension by C6 of C4≀C2 acting via C4≀C2/C42=C248C6.C4wrC2192,10
C4⋊Dic3⋊C42nd semidirect product of C4⋊Dic3 and C4 acting faithfully48C4:Dic3:C4192,11
C24.1C81st non-split extension by C24 of C8 acting via C8/C4=C2482C24.1C8192,22
C12.15C428th non-split extension by C12 of C42 acting via C42/C2×C4=C2484C12.15C4^2192,25
C23.35D121st non-split extension by C23 of D12 acting via D12/D6=C248C2^3.35D12192,26
(C22×S3)⋊C8The semidirect product of C22×S3 and C8 acting via C8/C2=C448(C2^2xS3):C8192,27
C22.2D241st non-split extension by C22 of D24 acting via D24/D12=C248C2^2.2D24192,29
(C2×D4).D62nd non-split extension by C2×D4 of D6 acting via D6/C3=C22488-(C2xD4).D6192,31
C23.D121st non-split extension by C23 of D12 acting via D12/C3=D4488-C2^3.D12192,32
C23.4D124th non-split extension by C23 of D12 acting via D12/C3=D4488-C2^3.4D12192,35
(C2×C4).D123rd non-split extension by C2×C4 of D12 acting via D12/C3=D4488+(C2xC4).D12192,36
(C2×C12).D416th non-split extension by C2×C12 of D4 acting faithfully488-(C2xC12).D4192,37
C8.Dic61st non-split extension by C8 of Dic6 acting via Dic6/C6=C22484C8.Dic6192,46
D248C48th semidirect product of D24 and C4 acting via C4/C2=C2484D24:8C4192,47
C24.6Q86th non-split extension by C24 of Q8 acting via Q8/C2=C22484C24.6Q8192,53
D24.C44th non-split extension by D24 of C4 acting via C4/C2=C2484+D24.C4192,54
C24.97D420th non-split extension by C24 of D4 acting via D4/C22=C2484C24.97D4192,70
C48⋊C42nd semidirect product of C48 and C4 acting faithfully484C48:C4192,71
C24.Q81st non-split extension by C24 of Q8 acting via Q8/C2=C22484C24.Q8192,72
C8.25D1211st non-split extension by C8 of D12 acting via D12/D6=C2484C8.25D12192,73
M5(2)⋊S35th semidirect product of M5(2) and S3 acting via S3/C3=C2484+M5(2):S3192,75
D242C42nd semidirect product of D24 and C4 acting via C4/C2=C2484D24:2C4192,77
C12.8C421st non-split extension by C12 of C42 acting via C42/C2×C4=C248C12.8C4^2192,82
C24.3Dic31st non-split extension by C24 of Dic3 acting via Dic3/C3=C448C2^4.3Dic3192,84
C24.12D61st non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.12D6192,85
C24.13D62nd non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.13D6192,86
C423Dic31st semidirect product of C42 and Dic3 acting via Dic3/C3=C4484C4^2:3Dic3192,90
C12.2C422nd non-split extension by C12 of C42 acting via C42/C22=C2248C12.2C4^2192,91
(C2×C12).Q88th non-split extension by C2×C12 of Q8 acting via Q8/C2=C22484(C2xC12).Q8192,92
(C6×D4)⋊C41st semidirect product of C6×D4 and C4 acting faithfully48(C6xD4):C4192,96
(C6×Q8)⋊C41st semidirect product of C6×Q8 and C4 acting faithfully48(C6xQ8):C4192,97
(C22×C12)⋊C42nd semidirect product of C22×C12 and C4 acting faithfully484(C2^2xC12):C4192,98
C424Dic32nd semidirect product of C42 and Dic3 acting via Dic3/C3=C4484C4^2:4Dic3192,100
C42.Dic32nd non-split extension by C42 of Dic3 acting via Dic3/C3=C4484C4^2.Dic3192,101
C42.3Dic33rd non-split extension by C42 of Dic3 acting via Dic3/C3=C4484C4^2.3Dic3192,107
C24.D452nd non-split extension by C24 of D4 acting via D4/C2=C22484C24.D4192,112
C12.3C423rd non-split extension by C12 of C42 acting via C42/C22=C2248C12.3C4^2192,114
(C2×C24)⋊C41st semidirect product of C2×C24 and C4 acting faithfully484(C2xC24):C4192,115
C12.20C4213rd non-split extension by C12 of C42 acting via C42/C2×C4=C2484C12.20C4^2192,116
M4(2)⋊4Dic34th semidirect product of M4(2) and Dic3 acting via Dic3/C6=C2484M4(2):4Dic3192,118
C12.21C4214th non-split extension by C12 of C42 acting via C42/C2×C4=C2484C12.21C4^2192,119
D8.Dic32nd non-split extension by D8 of Dic3 acting via Dic3/C6=C2484D8.Dic3192,122
D82Dic32nd semidirect product of D8 and Dic3 acting via Dic3/C6=C2484D8:2Dic3192,125
C3×C23⋊C8Direct product of C3 and C23⋊C848C3xC2^3:C8192,129
C3×C22.SD16Direct product of C3 and C22.SD1648C3xC2^2.SD16192,133
C3×C23.31D4Direct product of C3 and C23.31D448C3xC2^3.31D4192,134
C3×C4.9C42Direct product of C3 and C4.9C42484C3xC4.9C4^2192,143
C3×C4.10C42Direct product of C3 and C4.10C42484C3xC4.10C4^2192,144
C3×C426C4Direct product of C3 and C426C448C3xC4^2:6C4192,145
C3×C23.9D4Direct product of C3 and C23.9D448C3xC2^3.9D4192,148
C3×M4(2)⋊4C4Direct product of C3 and M4(2)⋊4C4484C3xM4(2):4C4192,150
C3×C16⋊C4Direct product of C3 and C16⋊C4484C3xC16:C4192,153
C3×C23.C8Direct product of C3 and C23.C8484C3xC2^3.C8192,155
C3×C23.D4Direct product of C3 and C23.D4484C3xC2^3.D4192,158
C3×C423C4Direct product of C3 and C423C4484C3xC4^2:3C4192,160
C3×C42.C4Direct product of C3 and C42.C4484C3xC4^2.C4192,161
C3×C42.3C4Direct product of C3 and C42.3C4484C3xC4^2.3C4192,162
C3×D82C4Direct product of C3 and D82C4484C3xD8:2C4192,166
C3×M5(2)⋊C2Direct product of C3 and M5(2)⋊C2484C3xM5(2):C2192,167
C3×C8.C8Direct product of C3 and C8.C8482C3xC8.C8192,170
C3×C8.Q8Direct product of C3 and C8.Q8484C3xC8.Q8192,171
A4⋊C16The semidirect product of A4 and C16 acting via C16/C8=C2483A4:C16192,186
A4×C16Direct product of C16 and A4483A4xC16192,203
D2411C4The semidirect product of D24 and C4 acting through Inn(D24)482D24:11C4192,259
D244C44th semidirect product of D24 and C4 acting via C4/C2=C2484D24:4C4192,276
S3×C22⋊C8Direct product of S3 and C22⋊C848S3xC2^2:C8192,283
D6⋊M4(2)1st semidirect product of D6 and M4(2) acting via M4(2)/C2×C4=C248D6:M4(2)192,285
D12.31D41st non-split extension by D12 of D4 acting via D4/C22=C248D12.31D4192,290
D1213D41st semidirect product of D12 and D4 acting via D4/C22=C248D12:13D4192,291
C23⋊C45S3The semidirect product of C23⋊C4 and S3 acting through Inn(C23⋊C4)488-C2^3:C4:5S3192,299
C23.5D125th non-split extension by C23 of D12 acting via D12/C3=D4488-C2^3.5D12192,301
M4(2).19D62nd non-split extension by M4(2) of D6 acting via D6/S3=C2488-M4(2).19D6192,304
M4(2)⋊D61st semidirect product of M4(2) and D6 acting via D6/C3=C22488-M4(2):D6192,305
D12.2D42nd non-split extension by D12 of D4 acting via D4/C2=C22488-D12.2D4192,307
D12.3D43rd non-split extension by D12 of D4 acting via D4/C2=C22488+D12.3D4192,308
S3×C4.10D4Direct product of S3 and C4.10D4488-S3xC4.10D4192,309
M4(2).21D64th non-split extension by M4(2) of D6 acting via D6/S3=C2488+M4(2).21D6192,310
D12.4D44th non-split extension by D12 of D4 acting via D4/C2=C22488-D12.4D4192,311
D12.5D45th non-split extension by D12 of D4 acting via D4/C2=C22488+D12.5D4192,312
D12.6D46th non-split extension by D12 of D4 acting via D4/C2=C22488+D12.6D4192,313
S3×D4⋊C4Direct product of S3 and D4⋊C448S3xD4:C4192,328
C4⋊C419D62nd semidirect product of C4⋊C4 and D6 acting via D6/S3=C248C4:C4:19D6192,329
D4⋊D121st semidirect product of D4 and D12 acting via D12/D6=C248D4:D12192,332
D65SD161st semidirect product of D6 and SD16 acting via SD16/D4=C248D6:5SD16192,335
C423D61st semidirect product of C42 and D6 acting via D6/C3=C22484C4^2:3D6192,380
M4(2).22D65th non-split extension by M4(2) of D6 acting via D6/S3=C2484M4(2).22D6192,382
C42.196D616th non-split extension by C42 of D6 acting via D6/S3=C2484C4^2.196D6192,383
C425D63rd semidirect product of C42 and D6 acting via D6/C3=C22484C4^2:5D6192,384
Q8.14D124th non-split extension by Q8 of D12 acting via D12/D6=C2484-Q8.14D12192,385
D4.10D125th non-split extension by D4 of D12 acting via D12/D6=C2484D4.10D12192,386
S3×C8.C4Direct product of S3 and C8.C4484S3xC8.C4192,451
M4(2).25D68th non-split extension by M4(2) of D6 acting via D6/S3=C2484M4(2).25D6192,452
D2410C410th semidirect product of D24 and C4 acting via C4/C2=C2484D24:10C4192,453
D247C47th semidirect product of D24 and C4 acting via C4/C2=C2484D24:7C4192,454
C24.19D419th non-split extension by C24 of D4 acting via D4/C2=C22484+C24.19D4192,456
C24.42D442nd non-split extension by C24 of D4 acting via D4/C2=C22484C24.42D4192,457
S3×M5(2)Direct product of S3 and M5(2)484S3xM5(2)192,465
C16⋊D61st semidirect product of C16 and D6 acting via D6/C3=C22484+C16:D6192,467
S3×D16Direct product of S3 and D16484+S3xD16192,469
D8⋊D62nd semidirect product of D8 and D6 acting via D6/S3=C2484D8:D6192,470
S3×SD32Direct product of S3 and SD32484S3xSD32192,472
D48⋊C26th semidirect product of D48 and C2 acting faithfully484+D48:C2192,473
C2×C424S3Direct product of C2 and C424S348C2xC4^2:4S3192,486
C2×C23.6D6Direct product of C2 and C23.6D648C2xC2^3.6D6192,513
C24.59D66th non-split extension by C24 of D6 acting via D6/S3=C248C2^4.59D6192,514
C4⋊C436D62nd semidirect product of C4⋊C4 and D6 acting via D6/C6=C248C4:C4:36D6192,560
C426D64th semidirect product of C42 and D6 acting via D6/C3=C22484C4^2:6D6192,564
(C2×D12)⋊13C49th semidirect product of C2×D12 and C4 acting via C4/C2=C2484(C2xD12):13C4192,565
D1216D44th semidirect product of D12 and D4 acting via D4/C22=C248D12:16D4192,595
D12.36D46th non-split extension by D12 of D4 acting via D4/C22=C248D12.36D4192,605
C22⋊C4⋊D64th semidirect product of C22⋊C4 and D6 acting via D6/C3=C22484C2^2:C4:D6192,612
C427D65th semidirect product of C42 and D6 acting via D6/C3=C22484C4^2:7D6192,620
D12.14D414th non-split extension by D12 of D4 acting via D4/C2=C22484D12.14D4192,621
D12.15D415th non-split extension by D12 of D4 acting via D4/C2=C22484D12.15D4192,654
C23.8Dic66th non-split extension by C23 of Dic6 acting via Dic6/C6=C22484C2^3.8Dic6192,683
C23.9Dic67th non-split extension by C23 of Dic6 acting via Dic6/C6=C22484C2^3.9Dic6192,684
D66M4(2)2nd semidirect product of D6 and M4(2) acting via M4(2)/C2×C4=C248D6:6M4(2)192,685
C2×C12.46D4Direct product of C2 and C12.46D448C2xC12.46D4192,689
C23.53D1219th non-split extension by C23 of D12 acting via D12/D6=C248C2^3.53D12192,690
M4(2).31D64th non-split extension by M4(2) of D6 acting via D6/C6=C2484M4(2).31D6192,691
C2×D12⋊C4Direct product of C2 and D12⋊C448C2xD12:C4192,697
M4(2)⋊24D68th semidirect product of M4(2) and D6 acting via D6/C6=C2484M4(2):24D6192,698
Q8.8D123rd non-split extension by Q8 of D12 acting via D12/C12=C2484Q8.8D12192,700
Q8.9D124th non-split extension by Q8 of D12 acting via D12/C12=C2484+Q8.9D12192,701
C24.100D423rd non-split extension by C24 of D4 acting via D4/C22=C2484C24.100D4192,703
C24.54D454th non-split extension by C24 of D4 acting via D4/C2=C22484C24.54D4192,704
D8.D61st non-split extension by D8 of D6 acting via D6/C6=C2484D8.D6192,706
D12⋊D46th semidirect product of D12 and D4 acting via D4/C2=C2248D12:D4192,715
C24.23D423rd non-split extension by C24 of D4 acting via D4/C2=C22484C24.23D4192,719
D66SD162nd semidirect product of D6 and SD16 acting via SD16/D4=C248D6:6SD16192,728
C24.44D444th non-split extension by C24 of D4 acting via D4/C2=C22484C24.44D4192,736
Q16⋊D62nd semidirect product of Q16 and D6 acting via D6/C6=C2484+Q16:D6192,752
D85Dic3The semidirect product of D8 and Dic3 acting through Inn(D8)484D8:5Dic3192,755
D84Dic34th semidirect product of D8 and Dic3 acting via Dic3/C6=C2484D8:4Dic3192,756
M4(2).D612nd non-split extension by M4(2) of D6 acting via D6/C3=C22488+M4(2).D6192,758
M4(2).13D613rd non-split extension by M4(2) of D6 acting via D6/C3=C22488-M4(2).13D6192,759
D12.38D48th non-split extension by D12 of D4 acting via D4/C22=C2488-D12.38D4192,760
D12.39D49th non-split extension by D12 of D4 acting via D4/C22=C2488+D12.39D4192,761
M4(2).15D615th non-split extension by M4(2) of D6 acting via D6/C3=C22488+M4(2).15D6192,762
D12.40D410th non-split extension by D12 of D4 acting via D4/C22=C2488-D12.40D4192,764
C24.6Dic32nd non-split extension by C24 of Dic3 acting via Dic3/C6=C248C2^4.6Dic3192,766
(C6×D4)⋊6C42nd semidirect product of C6×D4 and C4 acting via C4/C2=C248(C6xD4):6C4192,774
C2×C12.D4Direct product of C2 and C12.D448C2xC12.D4192,775
(C2×C6)⋊8D82nd semidirect product of C2×C6 and D8 acting via D8/D4=C248(C2xC6):8D8192,776
(C3×D4).31D41st non-split extension by C3×D4 of D4 acting via D4/C22=C248(C3xD4).31D4192,777
C2×C23.7D6Direct product of C2 and C23.7D648C2xC2^3.7D6192,778
C2×Q83Dic3Direct product of C2 and Q83Dic348C2xQ8:3Dic3192,794
(C6×D4)⋊9C45th semidirect product of C6×D4 and C4 acting via C4/C2=C2484(C6xD4):9C4192,795
(C6×D4).16C410th non-split extension by C6×D4 of C4 acting via C4/C2=C2484(C6xD4).16C4192,796
(C6×D4)⋊10C46th semidirect product of C6×D4 and C4 acting via C4/C2=C2484(C6xD4):10C4192,799
2+ 1+4.4S31st non-split extension by 2+ 1+4 of S3 acting via S3/C3=C2488-ES+(2,2).4S3192,801
2+ 1+4.5S32nd non-split extension by 2+ 1+4 of S3 acting via S3/C3=C2488-ES+(2,2).5S3192,802
2- 1+44S31st semidirect product of 2- 1+4 and S3 acting via S3/C3=C2488+ES-(2,2):4S3192,804
2- 1+4.2S3The non-split extension by 2- 1+4 of S3 acting via S3/C3=C2488-ES-(2,2).2S3192,805
C25.4S31st non-split extension by C25 of S3 acting via S3/C3=C248C2^5.4S3192,806
C3×C243C4Direct product of C3 and C243C448C3xC2^4:3C4192,812
C3×C24.4C4Direct product of C3 and C24.4C448C3xC2^4.4C4192,840
C6×C23⋊C4Direct product of C6 and C23⋊C448C6xC2^3:C4192,842
C3×C23.C23Direct product of C3 and C23.C23484C3xC2^3.C2^3192,843
C6×C4.D4Direct product of C6 and C4.D448C6xC4.D4192,844
C3×M4(2).8C22Direct product of C3 and M4(2).8C22484C3xM4(2).8C2^2192,846
C3×C23.37D4Direct product of C3 and C23.37D448C3xC2^3.37D4192,851
C6×C4≀C2Direct product of C6 and C4≀C248C6xC4wrC2192,853
C3×C42⋊C22Direct product of C3 and C42⋊C22484C3xC4^2:C2^2192,854
C3×M4(2).C4Direct product of C3 and M4(2).C4484C3xM4(2).C4192,863
C3×C8○D8Direct product of C3 and C8○D8482C3xC8oD8192,876
C3×C8.26D4Direct product of C3 and C8.26D4484C3xC8.26D4192,877
C3×C22⋊D8Direct product of C3 and C22⋊D848C3xC2^2:D8192,880
C3×C22⋊SD16Direct product of C3 and C22⋊SD1648C3xC2^2:SD16192,883
C3×D4.8D4Direct product of C3 and D4.8D4484C3xD4.8D4192,887
C3×D4.9D4Direct product of C3 and D4.9D4484C3xD4.9D4192,888
C3×D4.10D4Direct product of C3 and D4.10D4484C3xD4.10D4192,889
C3×C23.7D4Direct product of C3 and C23.7D4484C3xC2^3.7D4192,891
C3×D4.3D4Direct product of C3 and D4.3D4484C3xD4.3D4192,904
C3×D4.4D4Direct product of C3 and D4.4D4484C3xD4.4D4192,905
C3×C16⋊C22Direct product of C3 and C16⋊C22484C3xC16:C2^2192,942
A4⋊Q16The semidirect product of A4 and Q16 acting via Q16/C8=C2486-A4:Q16192,957
C2×A4⋊C8Direct product of C2 and A4⋊C848C2xA4:C8192,967
C4×A4⋊C4Direct product of C4 and A4⋊C448C4xA4:C4192,969
C24.3D62nd non-split extension by C24 of D6 acting via D6/C2=S348C2^4.3D6192,970
C24.4D63rd non-split extension by C24 of D6 acting via D6/C2=S348C2^4.4D6192,971
A42Q16The semidirect product of A4 and Q16 acting via Q16/Q8=C2486-A4:2Q16192,975
C2×U2(𝔽3)Direct product of C2 and U2(𝔽3)48C2xU(2,3)192,981
Q8.4S42nd non-split extension by Q8 of S4 acting via S4/A4=C2484Q8.4S4192,987
A4×C42Direct product of C42 and A448A4xC4^2192,993
A4×C4⋊C4Direct product of A4 and C4⋊C448A4xC4:C4192,995
A4×C2×C8Direct product of C2×C8 and A448A4xC2xC8192,1010
A4×Q16Direct product of A4 and Q16486-A4xQ16192,1016
Q16.A4The non-split extension by Q16 of A4 acting through Inn(Q16)484+Q16.A4192,1017
C42.A4The non-split extension by C42 of A4 acting faithfully4812-C4^2.A4192,1025
C233Dic62nd semidirect product of C23 and Dic6 acting via Dic6/C6=C2248C2^3:3Dic6192,1042
C2×S3×C22⋊C4Direct product of C2, S3 and C22⋊C448C2xS3xC2^2:C4192,1043
C24.35D624th non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.35D6192,1045
C2×D6⋊D4Direct product of C2 and D6⋊D448C2xD6:D4192,1046
C24.38D627th non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.38D6192,1049
C234D122nd semidirect product of C23 and D12 acting via D12/C6=C2248C2^3:4D12192,1052
C24.41D630th non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.41D6192,1053
C24.42D631st non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.42D6192,1054
S3×C42⋊C2Direct product of S3 and C42⋊C248S3xC4^2:C2192,1079
C429D67th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:9D6192,1080
C4210D68th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:10D6192,1083
C4211D69th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:11D6192,1084
C4212D610th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:12D6192,1086
C4×S3×D4Direct product of C4, S3 and D448C4xS3xD4192,1103
C4213D611st semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:13D6192,1104
C4214D612nd semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:14D6192,1106
D4×D12Direct product of D4 and D1248D4xD12192,1108
D1223D41st semidirect product of D12 and D4 acting through Inn(D12)48D12:23D4192,1109
D45D121st semidirect product of D4 and D12 acting through Inn(D4)48D4:5D12192,1113
C4218D616th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:18D6192,1115
C4219D617th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:19D6192,1119
C24.67D614th non-split extension by C24 of D6 acting via D6/S3=C248C2^4.67D6192,1145
C24.43D632nd non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.43D6192,1146
C247D62nd semidirect product of C24 and D6 acting via D6/C3=C2248C2^4:7D6192,1148
C248D63rd semidirect product of C24 and D6 acting via D6/C3=C2248C2^4:8D6192,1149
C24.44D633rd non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.44D6192,1150
C24.45D634th non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.45D6192,1151
C24.46D635th non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.46D6192,1152
C249D64th semidirect product of C24 and D6 acting via D6/C3=C2248C2^4:9D6192,1153
C24.47D636th non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.47D6192,1154
S3×C4⋊D4Direct product of S3 and C4⋊D448S3xC4:D4192,1163
C6.372+ 1+437th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.37ES+(2,2)192,1164
C4⋊C421D64th semidirect product of C4⋊C4 and D6 acting via D6/S3=C248C4:C4:21D6192,1165
C6.382+ 1+438th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.38ES+(2,2)192,1166
D1219D47th semidirect product of D12 and D4 acting via D4/C22=C248D12:19D4192,1168
C6.402+ 1+440th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.40ES+(2,2)192,1169
D1220D48th semidirect product of D12 and D4 acting via D4/C22=C248D12:20D4192,1171
C6.422+ 1+442nd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.42ES+(2,2)192,1172
C6.462+ 1+446th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.46ES+(2,2)192,1176
C6.482+ 1+448th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.48ES+(2,2)192,1179
S3×C22⋊Q8Direct product of S3 and C22⋊Q848S3xC2^2:Q8192,1185
C4⋊C426D69th semidirect product of C4⋊C4 and D6 acting via D6/S3=C248C4:C4:26D6192,1186
D1221D49th semidirect product of D12 and D4 acting via D4/C22=C248D12:21D4192,1189
C6.512+ 1+451st non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.51ES+(2,2)192,1193
C6.532+ 1+453rd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.53ES+(2,2)192,1196
C6.562+ 1+456th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.56ES+(2,2)192,1203
S3×C22.D4Direct product of S3 and C22.D448S3xC2^2.D4192,1211
C6.1202+ 1+429th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C248C6.120ES+(2,2)192,1212
C6.1212+ 1+430th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C248C6.121ES+(2,2)192,1213
C4⋊C428D611st semidirect product of C4⋊C4 and D6 acting via D6/S3=C248C4:C4:28D6192,1215
C6.612+ 1+461st non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.61ES+(2,2)192,1216
C6.1222+ 1+431st non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C248C6.122ES+(2,2)192,1217
C6.622+ 1+462nd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.62ES+(2,2)192,1218
C6.682+ 1+468th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C248C6.68ES+(2,2)192,1225
S3×C4.4D4Direct product of S3 and C4.4D448S3xC4.4D4192,1232
C4220D618th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:20D6192,1233
D1210D43rd semidirect product of D12 and D4 acting via D4/C4=C248D12:10D4192,1235
C4222D620th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:22D6192,1237
C4223D621st semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:23D6192,1238
C4224D622nd semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:24D6192,1242
S3×C422C2Direct product of S3 and C422C248S3xC4^2:2C2192,1262
C4225D623rd semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:25D6192,1263
C4226D624th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:26D6192,1264
C4227D625th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:27D6192,1270
S3×C41D4Direct product of S3 and C41D448S3xC4:1D4192,1273
C4228D626th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:28D6192,1274
D1211D44th semidirect product of D12 and D4 acting via D4/C4=C248D12:11D4192,1276
C4230D628th semidirect product of C42 and D6 acting via D6/C3=C2248C4^2:30D6192,1279
C2×S3×M4(2)Direct product of C2, S3 and M4(2)48C2xS3xM4(2)192,1302
M4(2)⋊26D62nd semidirect product of M4(2) and D6 acting through Inn(M4(2))484M4(2):26D6192,1304
C2×C8⋊D6Direct product of C2 and C8⋊D648C2xC8:D6192,1305
C24.9C232nd non-split extension by C24 of C23 acting via C23/C2=C22484C24.9C2^3192,1307
S3×C8○D4Direct product of S3 and C8○D4484S3xC8oD4192,1308
M4(2)⋊28D64th semidirect product of M4(2) and D6 acting through Inn(M4(2))484M4(2):28D6192,1309
D4.11D121st non-split extension by D4 of D12 acting through Inn(D4)484D4.11D12192,1310
D4.12D122nd non-split extension by D4 of D12 acting through Inn(D4)484+D4.12D12192,1311
C2×S3×D8Direct product of C2, S3 and D848C2xS3xD8192,1313
C2×D8⋊S3Direct product of C2 and D8⋊S348C2xD8:S3192,1314
D813D62nd semidirect product of D8 and D6 acting through Inn(D8)484D8:13D6192,1316
C2×S3×SD16Direct product of C2, S3 and SD1648C2xS3xSD16192,1317
C2×Q83D6Direct product of C2 and Q83D648C2xQ8:3D6192,1318
SD1613D62nd semidirect product of SD16 and D6 acting through Inn(SD16)484SD16:13D6192,1321
S3×C4○D8Direct product of S3 and C4○D8484S3xC4oD8192,1326
SD16⋊D63rd semidirect product of SD16 and D6 acting via D6/C6=C2484SD16:D6192,1327
D815D64th semidirect product of D8 and D6 acting through Inn(D8)484+D8:15D6192,1328
D811D65th semidirect product of D8 and D6 acting via D6/C6=C2484D8:11D6192,1329
D84D64th semidirect product of D8 and D6 acting via D6/S3=C2488-D8:4D6192,1332
D85D65th semidirect product of D8 and D6 acting via D6/S3=C2488+D8:5D6192,1333
D86D66th semidirect product of D8 and D6 acting via D6/S3=C2488-D8:6D6192,1334
S3×C8.C22Direct product of S3 and C8.C22488-S3xC8.C2^2192,1335
D24⋊C223rd semidirect product of D24 and C22 acting faithfully488+D24:C2^2192,1336
C24.C236th non-split extension by C24 of C23 acting faithfully488+C24.C2^3192,1337
C24.83D612nd non-split extension by C24 of D6 acting via D6/C6=C248C2^4.83D6192,1350
C2×D126C22Direct product of C2 and D126C2248C2xD12:6C2^2192,1352
C24.49D638th non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.49D6192,1357
C2×C232D6Direct product of C2 and C232D648C2xC2^3:2D6192,1358
D4×C3⋊D4Direct product of D4 and C3⋊D448D4xC3:D4192,1360
C2412D67th semidirect product of C24 and D6 acting via D6/C3=C2248C2^4:12D6192,1363
C24.52D641st non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.52D6192,1364
C24.53D642nd non-split extension by C24 of D6 acting via D6/C3=C2248C2^4.53D6192,1365
C12.76C2423rd non-split extension by C12 of C24 acting via C24/C23=C2484C12.76C2^4192,1378
C2×D4⋊D6Direct product of C2 and D4⋊D648C2xD4:D6192,1379
C12.C2435th non-split extension by C12 of C24 acting via C24/C22=C22484C12.C2^4192,1381
(C2×D4)⋊43D611st semidirect product of C2×D4 and D6 acting via D6/C6=C248(C2xD4):43D6192,1387
C6.1452+ 1+454th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C248C6.145ES+(2,2)192,1388
C6.1462+ 1+455th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C248C6.146ES+(2,2)192,1389
D12.32C2313rd non-split extension by D12 of C23 acting via C23/C22=C2488+D12.32C2^3192,1394
D12.33C2314th non-split extension by D12 of C23 acting via C23/C22=C2488-D12.33C2^3192,1395
D12.34C2315th non-split extension by D12 of C23 acting via C23/C22=C2488+D12.34C2^3192,1396
C2×C244S3Direct product of C2 and C244S348C2xC2^4:4S3192,1399
C3×C22.11C24Direct product of C3 and C22.11C2448C3xC2^2.11C2^4192,1407
C6×C22≀C2Direct product of C6 and C22≀C248C6xC2^2wrC2192,1410
C3×C22.19C24Direct product of C3 and C22.19C2448C3xC2^2.19C2^4192,1414
C3×C233D4Direct product of C3 and C233D448C3xC2^3:3D4192,1423
C3×C22.29C24Direct product of C3 and C22.29C2448C3xC2^2.29C2^4192,1424
C3×C22.32C24Direct product of C3 and C22.32C2448C3xC2^2.32C2^4192,1427
C3×C232Q8Direct product of C3 and C232Q848C3xC2^3:2Q8192,1432
C3×D42Direct product of C3, D4 and D448C3xD4^2192,1434
C3×D45D4Direct product of C3 and D45D448C3xD4:5D4192,1435
C3×C22.45C24Direct product of C3 and C22.45C2448C3xC2^2.45C2^4192,1440
C3×C22.54C24Direct product of C3 and C22.54C2448C3xC2^2.54C2^4192,1449
C3×C24⋊C22Direct product of C3 and C24⋊C2248C3xC2^4:C2^2192,1450
C3×Q8○M4(2)Direct product of C3 and Q8○M4(2)484C3xQ8oM4(2)192,1457
C6×C8⋊C22Direct product of C6 and C8⋊C2248C6xC8:C2^2192,1462
C3×D8⋊C22Direct product of C3 and D8⋊C22484C3xD8:C2^2192,1464
C3×D4○D8Direct product of C3 and D4○D8484C3xD4oD8192,1465
C3×D4○SD16Direct product of C3 and D4○SD16484C3xD4oSD16192,1466
C2×A4⋊Q8Direct product of C2 and A4⋊Q848C2xA4:Q8192,1468
C22×A4⋊C4Direct product of C22 and A4⋊C448C2^2xA4:C4192,1487
Q8.1S41st non-split extension by Q8 of S4 acting via S4/C22=S3486-Q8.1S4192,1489
A4×C22×C4Direct product of C22×C4 and A448A4xC2^2xC4192,1496
C2×Q8×A4Direct product of C2, Q8 and A448C2xQ8xA4192,1499
C2×Q8.A4Direct product of C2 and Q8.A448C2xQ8.A4192,1502
C2×Q8⋊A4Direct product of C2 and Q8⋊A448C2xQ8:A4192,1506
C22×S3×D4Direct product of C22, S3 and D448C2^2xS3xD4192,1514
C2×D46D6Direct product of C2 and D46D648C2xD4:6D6192,1516
C2×S3×C4○D4Direct product of C2, S3 and C4○D448C2xS3xC4oD4192,1520
C2×D4○D12Direct product of C2 and D4○D1248C2xD4oD12192,1521
C6.C2514th non-split extension by C6 of C25 acting via C25/C24=C2484C6.C2^5192,1523
D6.C249th non-split extension by D6 of C24 acting via C24/C23=C2488-D6.C2^4192,1525
S3×2- 1+4Direct product of S3 and 2- 1+4488-S3xES-(2,2)192,1526
D12.39C2320th non-split extension by D12 of C23 acting via C23/C22=C2488+D12.39C2^3192,1527
C6×2+ 1+4Direct product of C6 and 2+ 1+448C6xES+(2,2)192,1534
C3×C2.C25Direct product of C3 and C2.C25484C3xC2.C2^5192,1536
A4×C24Direct product of C24 and A448A4xC2^4192,1539

Groups of order 240

dρLabelID
CSU2(𝔽5)Conformal special unitary group on 𝔽52; = C2.2S5484-CSU(2,5)240,89
C2×SL2(𝔽5)Direct product of C2 and SL2(𝔽5)48C2xSL(2,5)240,94

Groups of order 288

dρLabelID
C24.60D613rd non-split extension by C24 of D6 acting via D6/S3=C2484C24.60D6288,190
C24.62D615th non-split extension by C24 of D6 acting via D6/S3=C2484C24.62D6288,192
C3⋊D48The semidirect product of C3 and D48 acting via D48/D24=C2484+C3:D48288,194
C24.49D62nd non-split extension by C24 of D6 acting via D6/S3=C2484+C24.49D6288,197
C12.78D129th non-split extension by C12 of D12 acting via D12/D6=C248C12.78D12288,205
C12.D1213rd non-split extension by C12 of D12 acting via D12/C6=C22484C12.D12288,206
C12.14D1214th non-split extension by C12 of D12 acting via D12/C6=C22484C12.14D12288,208
C12.71D122nd non-split extension by C12 of D12 acting via D12/D6=C2484-C12.71D12288,209
C6.17D246th non-split extension by C6 of D24 acting via D24/D12=C248C6.17D24288,212
D122Dic32nd semidirect product of D12 and Dic3 acting via Dic3/C6=C2484D12:2Dic3288,217
C12.80D1211st non-split extension by C12 of D12 acting via D12/D6=C2484C12.80D12288,218
C12.82D1213rd non-split extension by C12 of D12 acting via D12/D6=C2484C12.82D12288,225
C62.5Q82nd non-split extension by C62 of Q8 acting via Q8/C2=C22484C6^2.5Q8288,226
C3×C12.C8Direct product of C3 and C12.C8482C3xC12.C8288,246
C3×C24.C4Direct product of C3 and C24.C4482C3xC24.C4288,253
C3×C12.53D4Direct product of C3 and C12.53D4484C3xC12.53D4288,256
C3×C12.46D4Direct product of C3 and C12.46D4484C3xC12.46D4288,257
C3×C12.47D4Direct product of C3 and C12.47D4484C3xC12.47D4288,258
C3×D12⋊C4Direct product of C3 and D12⋊C4484C3xD12:C4288,259
C3×C3⋊D16Direct product of C3 and C3⋊D16484C3xC3:D16288,260
C3×D8.S3Direct product of C3 and D8.S3484C3xD8.S3288,261
C3×C12.55D4Direct product of C3 and C12.55D448C3xC12.55D4288,264
C3×D4⋊Dic3Direct product of C3 and D4⋊Dic348C3xD4:Dic3288,266
C3×C12.10D4Direct product of C3 and C12.10D4484C3xC12.10D4288,270
C3×Q83Dic3Direct product of C3 and Q83Dic3484C3xQ8:3Dic3288,271
(C3×C12).D42nd non-split extension by C3×C12 of D4 acting faithfully484(C3xC12).D4288,376
C3⋊S3.2Q161st non-split extension by C3⋊S3 of Q16 acting via Q16/C4=C22484C3:S3.2Q16288,378
C32⋊C4≀C2The semidirect product of C32 and C4≀C2 acting via C4≀C2/C4=D4484C3^2:C4wrC2288,379
C32⋊C4⋊C82nd semidirect product of C32⋊C4 and C8 acting via C8/C4=C2484C3^2:C4:C8288,380
C4.19S3≀C24th central extension by C4 of S3≀C2484C4.19S3wrC2288,381
C32⋊D16The semidirect product of C32 and D16 acting via D16/C4=D4488+C3^2:D16288,382
C32⋊SD32The semidirect product of C32 and SD32 acting via SD32/C4=D4488+C3^2:SD32288,383
C62.D41st non-split extension by C62 of D4 acting faithfully48C6^2.D4288,385
C62.3D43rd non-split extension by C62 of D4 acting faithfully48C6^2.3D4288,387
C4.4PSU3(𝔽2)The central extension by C4 of PSU3(𝔽2)488C4.4PSU(3,2)288,392
C4.PSU3(𝔽2)1st non-split extension by C4 of PSU3(𝔽2) acting via PSU3(𝔽2)/C32⋊C4=C2488C4.PSU(3,2)288,393
C4.2PSU3(𝔽2)2nd non-split extension by C4 of PSU3(𝔽2) acting via PSU3(𝔽2)/C32⋊C4=C2488C4.2PSU(3,2)288,394
C62.Q81st non-split extension by C62 of Q8 acting faithfully48C6^2.Q8288,395
C62.2Q82nd non-split extension by C62 of Q8 acting faithfully488-C6^2.2Q8288,396
C42⋊C3⋊S31st semidirect product of C42⋊C3 and S3 acting via S3/C3=C2486C4^2:C3:S3288,406
C3⋊S33C162nd semidirect product of C3⋊S3 and C16 acting via C16/C8=C2484C3:S3:3C16288,412
C323M5(2)The semidirect product of C32 and M5(2) acting via M5(2)/C8=C4484C3^2:3M5(2)288,413
C8×C32⋊C4Direct product of C8 and C32⋊C4484C8xC3^2:C4288,414
(C3×C24)⋊C42nd semidirect product of C3×C24 and C4 acting faithfully484(C3xC24):C4288,415
C8⋊(C32⋊C4)2nd semidirect product of C8 and C32⋊C4 acting via C32⋊C4/C3⋊S3=C2484C8:(C3^2:C4)288,416
C3⋊S3.4D8The non-split extension by C3⋊S3 of D8 acting via D8/C8=C2484C3:S3.4D8288,417
(C3×C24).C44th non-split extension by C3×C24 of C4 acting faithfully484(C3xC24).C4288,418
C8.(C32⋊C4)1st non-split extension by C8 of C32⋊C4 acting via C32⋊C4/C3⋊S3=C2484C8.(C3^2:C4)288,419
C62.4C82nd non-split extension by C62 of C8 acting via C8/C2=C4484C6^2.4C8288,421
C62.6(C2×C4)5th non-split extension by C62 of C2×C4 acting via C2×C4/C2=C448C6^2.6(C2xC4)288,426
C3⋊Dic3.D49th non-split extension by C3⋊Dic3 of D4 acting via D4/C2=C22484-C3:Dic3.D4288,428
(C6×C12)⋊2C42nd semidirect product of C6×C12 and C4 acting faithfully48(C6xC12):2C4288,429
C326C4≀C2The semidirect product of C32 and C4≀C2 acting via C4≀C2/D4=C4488-C3^2:6C4wrC2288,431
C3⋊S3.5Q16The non-split extension by C3⋊S3 of Q16 acting via Q16/Q8=C2488-C3:S3.5Q16288,432
C327C4≀C2The semidirect product of C32 and C4≀C2 acting via C4≀C2/Q8=C4488+C3^2:7C4wrC2288,433
C623C81st semidirect product of C62 and C8 acting via C8/C2=C448C6^2:3C8288,435
S32×C8Direct product of C8, S3 and S3484S3^2xC8288,437
S3×C8⋊S3Direct product of S3 and C8⋊S3484S3xC8:S3288,438
C24⋊D614th semidirect product of C24 and D6 acting via D6/C3=C22484C24:D6288,439
S3×C24⋊C2Direct product of S3 and C24⋊C2484S3xC24:C2288,440
S3×D24Direct product of S3 and D24484+S3xD24288,441
C241D61st semidirect product of C24 and D6 acting via D6/C3=C22484+C24:1D6288,442
D24⋊S32nd semidirect product of D24 and S3 acting via S3/C3=C2484D24:S3288,443
C249D69th semidirect product of C24 and D6 acting via D6/C3=C22484C24:9D6288,444
C244D64th semidirect product of C24 and D6 acting via D6/C3=C22484C24:4D6288,445
C246D66th semidirect product of C24 and D6 acting via D6/C3=C22484C24:6D6288,446
Dic12⋊S32nd semidirect product of Dic12 and S3 acting via S3/C3=C2484Dic12:S3288,449
C24.23D623rd non-split extension by C24 of D6 acting via D6/C3=C22484C24.23D6288,450
C24.63D616th non-split extension by C24 of D6 acting via D6/S3=C2484C24.63D6288,451
C24.64D617th non-split extension by C24 of D6 acting via D6/S3=C2484C24.64D6288,452
C24.D646th non-split extension by C24 of D6 acting via D6/C3=C22484C24.D6288,453
D6.1D121st non-split extension by D6 of D12 acting via D12/C12=C2484D6.1D12288,454
D6.3D123rd non-split extension by D6 of D12 acting via D12/C12=C2484+D6.3D12288,456
D12.2D62nd non-split extension by D12 of D6 acting via D6/C3=C22484D12.2D6288,457
D245S35th semidirect product of D24 and S3 acting via S3/C3=C2484D24:5S3288,458
D12.4D64th non-split extension by D12 of D6 acting via D6/C3=C22484D12.4D6288,459
S3×C4.Dic3Direct product of S3 and C4.Dic3484S3xC4.Dic3288,461
D12.2Dic3The non-split extension by D12 of Dic3 acting through Inn(D12)484D12.2Dic3288,462
D12.Dic3The non-split extension by D12 of Dic3 acting via Dic3/C6=C2484D12.Dic3288,463
C2×C12.29D6Direct product of C2 and C12.29D648C2xC12.29D6288,464
C3⋊C8.22D611st non-split extension by C3⋊C8 of D6 acting via D6/S3=C2484C3:C8.22D6288,465
C2×C12.31D6Direct product of C2 and C12.31D648C2xC12.31D6288,468
D12.30D65th non-split extension by D12 of D6 acting via D6/C6=C2484D12.30D6288,470
D1220D64th semidirect product of D12 and D6 acting via D6/C6=C2484D12:20D6288,471
C2×C3⋊D24Direct product of C2 and C3⋊D2448C2xC3:D24288,472
D12.32D67th non-split extension by D12 of D6 acting via D6/C6=C2484D12.32D6288,475
D12.27D62nd non-split extension by D12 of D6 acting via D6/C6=C2484D12.27D6288,477
D12.28D63rd non-split extension by D12 of D6 acting via D6/C6=C2484D12.28D6288,478
D12.29D64th non-split extension by D12 of D6 acting via D6/C6=C2484-D12.29D6288,479
C2×C325SD16Direct product of C2 and C325SD1648C2xC3^2:5SD16288,480
Dic6.29D63rd non-split extension by Dic6 of D6 acting via D6/C6=C2484Dic6.29D6288,481
C62.6C231st non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.6C2^3288,484
C62.18C2313rd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.18C2^3288,496
C62.19C2314th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.19C2^3288,497
C62.20C2315th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.20C2^3288,498
Dic3.D124th non-split extension by Dic3 of D12 acting via D12/C12=C248Dic3.D12288,500
C62.23C2318th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.23C2^3288,501
C62.24C2319th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.24C2^3288,502
C12.28D1228th non-split extension by C12 of D12 acting via D12/C6=C2248C12.28D12288,512
C62.35C2330th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.35C2^3288,513
C62.38C2333rd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.38C2^3288,516
C12.30D1230th non-split extension by C12 of D12 acting via D12/C6=C2248C12.30D12288,519
C62.44C2339th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.44C2^3288,522
Dic34D121st semidirect product of Dic3 and D12 acting through Inn(Dic3)48Dic3:4D12288,528
C62.51C2346th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.51C2^3288,529
C4×C6.D6Direct product of C4 and C6.D648C4xC6.D6288,530
C62.53C2348th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.53C2^3288,531
Dic3⋊D121st semidirect product of Dic3 and D12 acting via D12/D6=C248Dic3:D12288,534
C62.58C2353rd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.58C2^3288,536
D6.D125th non-split extension by D6 of D12 acting via D12/D6=C248D6.D12288,538
Dic35D122nd semidirect product of Dic3 and D12 acting through Inn(Dic3)48Dic3:5D12288,542
C62.65C2360th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.65C2^3288,543
C62.67C2362nd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.67C2^3288,545
C62.70C2365th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.70C2^3288,548
C4×C3⋊D12Direct product of C4 and C3⋊D1248C4xC3:D12288,551
C62.74C2369th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.74C2^3288,552
D6⋊D121st semidirect product of D6 and D12 acting via D12/C12=C248D6:D12288,554
C62.77C2372nd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.77C2^3288,555
C127D121st semidirect product of C12 and D12 acting via D12/D6=C248C12:7D12288,557
Dic33D122nd semidirect product of Dic3 and D12 acting via D12/D6=C248Dic3:3D12288,558
C12⋊D121st semidirect product of C12 and D12 acting via D12/C6=C2248C12:D12288,559
C62.82C2377th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.82C2^3288,560
C122D122nd semidirect product of C12 and D12 acting via D12/C6=C2248C12:2D12288,564
S3×D6⋊C4Direct product of S3 and D6⋊C448S3xD6:C4288,568
C62.91C2386th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.91C2^3288,569
D64D121st semidirect product of D6 and D12 acting via D12/D6=C248D6:4D12288,570
D65D122nd semidirect product of D6 and D12 acting via D12/D6=C248D6:5D12288,571
S3×D4⋊S3Direct product of S3 and D4⋊S3488+S3xD4:S3288,572
Dic63D63rd semidirect product of Dic6 and D6 acting via D6/C3=C22488+Dic6:3D6288,573
D12.D65th non-split extension by D12 of D6 acting via D6/C3=C22488-D12.D6288,575
S3×D4.S3Direct product of S3 and D4.S3488-S3xD4.S3288,576
Dic6.19D66th non-split extension by Dic6 of D6 acting via D6/S3=C2488-Dic6.19D6288,577
Dic6.D65th non-split extension by Dic6 of D6 acting via D6/C3=C22488-Dic6.D6288,579
D129D63rd semidirect product of D12 and D6 acting via D6/S3=C2488-D12:9D6288,580
D12.22D67th non-split extension by D12 of D6 acting via D6/S3=C2488-D12.22D6288,581
D12.7D67th non-split extension by D12 of D6 acting via D6/C3=C22488+D12.7D6288,582
Dic6.20D67th non-split extension by Dic6 of D6 acting via D6/S3=C2488+Dic6.20D6288,583
D12.8D68th non-split extension by D12 of D6 acting via D6/C3=C22488-D12.8D6288,584
S3×Q82S3Direct product of S3 and Q82S3488+S3xQ8:2S3288,586
D126D66th semidirect product of D12 and D6 acting via D6/C3=C22488+D12:6D6288,587
D12.9D69th non-split extension by D12 of D6 acting via D6/C3=C22488-D12.9D6288,588
D12.10D610th non-split extension by D12 of D6 acting via D6/C3=C22488+D12.10D6288,589
Dic6.9D69th non-split extension by Dic6 of D6 acting via D6/C3=C22488-Dic6.9D6288,592
Dic6.10D610th non-split extension by Dic6 of D6 acting via D6/C3=C22488+Dic6.10D6288,593
Dic6.22D69th non-split extension by Dic6 of D6 acting via D6/S3=C2488+Dic6.22D6288,596
D12.13D613rd non-split extension by D12 of D6 acting via D6/C3=C22488+D12.13D6288,597
D12.14D614th non-split extension by D12 of D6 acting via D6/C3=C22488+D12.14D6288,598
D12.15D615th non-split extension by D12 of D6 acting via D6/C3=C22488-D12.15D6288,599
C62.94C2389th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.94C2^3288,600
C62.95C2390th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.95C2^3288,601
C62.97C2392nd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.97C2^3288,603
C62.98C2393rd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.98C2^3288,604
C62.99C2394th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.99C2^3288,605
C62.100C2395th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.100C2^3288,606
C62.101C2396th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.101C2^3288,607
C62.56D440th non-split extension by C62 of D4 acting via D4/C2=C2248C6^2.56D4288,609
C62.57D441st non-split extension by C62 of D4 acting via D4/C2=C2248C6^2.57D4288,610
C2×C6.D12Direct product of C2 and C6.D1248C2xC6.D12288,611
C623Q81st semidirect product of C62 and Q8 acting via Q8/C2=C2248C6^2:3Q8288,612
C62.60D444th non-split extension by C62 of D4 acting via D4/C2=C2248C6^2.60D4288,614
S3×C6.D4Direct product of S3 and C6.D448S3xC6.D4288,616
C62.111C23106th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.111C2^3288,617
C62.112C23107th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.112C2^3288,618
C62.113C23108th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.113C2^3288,619
Dic3×C3⋊D4Direct product of Dic3 and C3⋊D448Dic3xC3:D4288,620
C62.115C23110th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.115C2^3288,621
C62.117C23112nd non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.117C2^3288,623
C624D41st semidirect product of C62 and D4 acting via D4/C2=C2248C6^2:4D4288,624
C625D42nd semidirect product of C62 and D4 acting via D4/C2=C2248C6^2:5D4288,625
C626D43rd semidirect product of C62 and D4 acting via D4/C2=C2248C6^2:6D4288,626
C62.121C23116th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.121C2^3288,627
C627D44th semidirect product of C62 and D4 acting via D4/C2=C2248C6^2:7D4288,628
C624Q82nd semidirect product of C62 and Q8 acting via Q8/C2=C2248C6^2:4Q8288,630
C62.125C23120th non-split extension by C62 of C23 acting via C23/C2=C2248C6^2.125C2^3288,631
C3×C42⋊C6Direct product of C3 and C42⋊C6486C3xC4^2:C6288,635
C3×C23.16D6Direct product of C3 and C23.16D648C3xC2^3.16D6288,648
C3×Dic3.D4Direct product of C3 and Dic3.D448C3xDic3.D4288,649
C3×C23.8D6Direct product of C3 and C23.8D648C3xC2^3.8D6288,650
C3×S3×C22⋊C4Direct product of C3, S3 and C22⋊C448C3xS3xC2^2:C4288,651
C3×Dic34D4Direct product of C3 and Dic34D448C3xDic3:4D4288,652
C3×D6⋊D4Direct product of C3 and D6⋊D448C3xD6:D4288,653
C3×C23.9D6Direct product of C3 and C23.9D648C3xC2^3.9D6288,654
C3×Dic3⋊D4Direct product of C3 and Dic3⋊D448C3xDic3:D4288,655
C3×C23.11D6Direct product of C3 and C23.11D648C3xC2^3.11D6288,656
C3×C23.21D6Direct product of C3 and C23.21D648C3xC2^3.21D6288,657
C3×C8○D12Direct product of C3 and C8○D12482C3xC8oD12288,672
C3×C4○D24Direct product of C3 and C4○D24482C3xC4oD24288,675
C3×S3×M4(2)Direct product of C3, S3 and M4(2)484C3xS3xM4(2)288,677
C3×D12.C4Direct product of C3 and D12.C4484C3xD12.C4288,678
C3×C8⋊D6Direct product of C3 and C8⋊D6484C3xC8:D6288,679
C3×C8.D6Direct product of C3 and C8.D6484C3xC8.D6288,680
C3×S3×D8Direct product of C3, S3 and D8484C3xS3xD8288,681
C3×D8⋊S3Direct product of C3 and D8⋊S3484C3xD8:S3288,682
C3×D83S3Direct product of C3 and D83S3484C3xD8:3S3288,683
C3×S3×SD16Direct product of C3, S3 and SD16484C3xS3xSD16288,684
C3×Q83D6Direct product of C3 and Q83D6484C3xQ8:3D6288,685
C3×D4.D6Direct product of C3 and D4.D6484C3xD4.D6288,686
C3×Q8.7D6Direct product of C3 and Q8.7D6484C3xQ8.7D6288,687
C6×C4.Dic3Direct product of C6 and C4.Dic348C6xC4.Dic3288,692
C3×C12.48D4Direct product of C3 and C12.48D448C3xC12.48D4288,695
C3×C23.26D6Direct product of C3 and C23.26D648C3xC2^3.26D6288,697
C12×C3⋊D4Direct product of C12 and C3⋊D448C12xC3:D4288,699
C3×C23.28D6Direct product of C3 and C23.28D648C3xC2^3.28D6288,700
C3×C127D4Direct product of C3 and C127D448C3xC12:7D4288,701
C6×D4⋊S3Direct product of C6 and D4⋊S348C6xD4:S3288,702
C6×D4.S3Direct product of C6 and D4.S348C6xD4.S3288,704
C3×D4×Dic3Direct product of C3, D4 and Dic348C3xD4xDic3288,705
C3×C23.23D6Direct product of C3 and C23.23D648C3xC2^3.23D6288,706
C3×C23.12D6Direct product of C3 and C23.12D648C3xC2^3.12D6288,707
C3×C232D6Direct product of C3 and C232D648C3xC2^3:2D6288,708
C3×D63D4Direct product of C3 and D63D448C3xD6:3D4288,709
C3×C23.14D6Direct product of C3 and C23.14D648C3xC2^3.14D6288,710
C3×C123D4Direct product of C3 and C123D448C3xC12:3D4288,711
C3×Q8.11D6Direct product of C3 and Q8.11D6484C3xQ8.11D6288,713
C3×D4.Dic3Direct product of C3 and D4.Dic3484C3xD4.Dic3288,719
C3×D4⋊D6Direct product of C3 and D4⋊D6484C3xD4:D6288,720
C3×Q8.13D6Direct product of C3 and Q8.13D6484C3xQ8.13D6288,721
C3×Q8.14D6Direct product of C3 and Q8.14D6484C3xQ8.14D6288,722
C6×C6.D4Direct product of C6 and C6.D448C6xC6.D4288,723
Dic3.4S41st non-split extension by Dic3 of S4 acting through Inn(Dic3)484Dic3.4S4288,845
Dic3.5S42nd non-split extension by Dic3 of S4 acting through Inn(Dic3)484+Dic3.5S4288,846
GL2(𝔽3)⋊S31st semidirect product of GL2(𝔽3) and S3 acting via S3/C3=C2484+GL(2,3):S3288,847
S3×CSU2(𝔽3)Direct product of S3 and CSU2(𝔽3)484-S3xCSU(2,3)288,848
D6.S41st non-split extension by D6 of S4 acting via S4/A4=C2484-D6.S4288,849
D6.2S42nd non-split extension by D6 of S4 acting via S4/A4=C2484D6.2S4288,850
C4.3F92nd central extension by C4 of F9488C4.3F9288,861
C4.F9The non-split extension by C4 of F9 acting via F9/C32⋊C4=C2488C4.F9288,862
C22.F9The non-split extension by C22 of F9 acting via F9/C32⋊C4=C2488-C2^2.F9288,866
C32⋊C4⋊Q81st semidirect product of C32⋊C4 and Q8 acting via Q8/C4=C2488-C3^2:C4:Q8288,870
C32⋊D85C2The semidirect product of C32⋊D8 and C2 acting through Inn(C32⋊D8)484C3^2:D8:5C2288,871
C32⋊Q16⋊C21st semidirect product of C32⋊Q16 and C2 acting faithfully484C3^2:Q16:C2288,874
C3⋊S3⋊Q16The semidirect product of C3⋊S3 and Q16 acting via Q16/C4=C22488-C3:S3:Q16288,876
C2×C3⋊S3.Q8Direct product of C2 and C3⋊S3.Q848C2xC3:S3.Q8288,882
C2×C32⋊D8Direct product of C2 and C32⋊D848C2xC3^2:D8288,883
C62.13D413rd non-split extension by C62 of D4 acting faithfully488-C6^2.13D4288,885
C2×C322SD16Direct product of C2 and C322SD1648C2xC3^2:2SD16288,886
C62.15D415th non-split extension by C62 of D4 acting faithfully484-C6^2.15D4288,887
C4.3PSU3(𝔽2)3rd non-split extension by C4 of PSU3(𝔽2) acting via PSU3(𝔽2)/C32⋊C4=C2488C4.3PSU(3,2)288,891
C2×C2.PSU3(𝔽2)Direct product of C2 and C2.PSU3(𝔽2)48C2xC2.PSU(3,2)288,894
C6×GL2(𝔽3)Direct product of C6 and GL2(𝔽3)48C6xGL(2,3)288,900
C3×Q8.D6Direct product of C3 and Q8.D6484C3xQ8.D6288,901
C3×C4.6S4Direct product of C3 and C4.6S4482C3xC4.6S4288,903
C3×C4.3S4Direct product of C3 and C4.3S4484C3xC4.3S4288,904
C2×C6.6S4Direct product of C2 and C6.6S448C2xC6.6S4288,911
SL2(𝔽3).D62nd non-split extension by SL2(𝔽3) of D6 acting via D6/C6=C2484SL(2,3).D6288,912
C12.14S414th non-split extension by C12 of S4 acting via S4/A4=C2484C12.14S4288,914
C12.7S47th non-split extension by C12 of S4 acting via S4/A4=C2484+C12.7S4288,915
C2×S3×SL2(𝔽3)Direct product of C2, S3 and SL2(𝔽3)48C2xS3xSL(2,3)288,922
SL2(𝔽3).11D61st non-split extension by SL2(𝔽3) of D6 acting through Inn(SL2(𝔽3))484SL(2,3).11D6288,923
S3×C4.A4Direct product of S3 and C4.A4484S3xC4.A4288,925
D12.A4The non-split extension by D12 of A4 acting through Inn(D12)484-D12.A4288,926
C2×C3⋊S33C8Direct product of C2 and C3⋊S33C848C2xC3:S3:3C8288,929
C2×C32⋊M4(2)Direct product of C2 and C32⋊M4(2)48C2xC3^2:M4(2)288,930
C2×C4×C32⋊C4Direct product of C2×C4 and C32⋊C448C2xC4xC3^2:C4288,932
C2×C4⋊(C32⋊C4)Direct product of C2 and C4⋊(C32⋊C4)48C2xC4:(C3^2:C4)288,933
C62.(C2×C4)The non-split extension by C62 of C2×C4 acting faithfully488-C6^2.(C2xC4)288,935
C12⋊S3.C4The non-split extension by C12⋊S3 of C4 acting faithfully488+C12:S3.C4288,937
Q8×C32⋊C4Direct product of Q8 and C32⋊C4488-Q8xC3^2:C4288,938
C2×C62.C4Direct product of C2 and C62.C448C2xC6^2.C4288,940
C2×D12⋊S3Direct product of C2 and D12⋊S348C2xD12:S3288,944
D12.33D68th non-split extension by D12 of D6 acting via D6/C6=C2484D12.33D6288,945
D12.34D6The non-split extension by D12 of D6 acting through Inn(D12)484-D12.34D6288,946
C2×Dic3.D6Direct product of C2 and Dic3.D648C2xDic3.D6288,947
C2×D6.D6Direct product of C2 and D6.D648C2xD6.D6288,948
C2×D6.6D6Direct product of C2 and D6.6D648C2xD6.6D6288,949
S32×C2×C4Direct product of C2×C4, S3 and S348S3^2xC2xC4288,950
C2×S3×D12Direct product of C2, S3 and D1248C2xS3xD12288,951
C2×D6⋊D6Direct product of C2 and D6⋊D648C2xD6:D6288,952
S3×C4○D12Direct product of S3 and C4○D12484S3xC4oD12288,953
D1224D68th semidirect product of D12 and D6 acting via D6/C6=C2484D12:24D6288,955
Dic6.24D611st non-split extension by Dic6 of D6 acting via D6/S3=C2488-Dic6.24D6288,957
S3×D42S3Direct product of S3 and D42S3488-S3xD4:2S3288,959
D1212D66th semidirect product of D12 and D6 acting via D6/S3=C2488-D12:12D6288,961
D12.25D610th non-split extension by D12 of D6 acting via D6/S3=C2488-D12.25D6288,963
Dic6.26D613rd non-split extension by Dic6 of D6 acting via D6/S3=C2488+Dic6.26D6288,964
S32×Q8Direct product of S3, S3 and Q8488-S3^2xQ8288,965
S3×Q83S3Direct product of S3 and Q83S3488+S3xQ8:3S3288,966
D1215D69th semidirect product of D12 and D6 acting via D6/S3=C2488-D12:15D6288,967
D1216D610th semidirect product of D12 and D6 acting via D6/S3=C2488+D12:16D6288,968
C2×D6.3D6Direct product of C2 and D6.3D648C2xD6.3D6288,970
C2×D6.4D6Direct product of C2 and D6.4D648C2xD6.4D6288,971
C22×C6.D6Direct product of C22 and C6.D648C2^2xC6.D6288,972
C22×C3⋊D12Direct product of C22 and C3⋊D1248C2^2xC3:D12288,974
C2×S3×C3⋊D4Direct product of C2, S3 and C3⋊D448C2xS3xC3:D4288,976
C3×D4.A4Direct product of C3 and D4.A4484C3xD4.A4288,985
C6×C4○D12Direct product of C6 and C4○D1248C6xC4oD12288,991
S3×C6×D4Direct product of C6, S3 and D448S3xC6xD4288,992
C6×D42S3Direct product of C6 and D42S348C6xD4:2S3288,993
C3×Q8.15D6Direct product of C3 and Q8.15D6484C3xQ8.15D6288,997
C3×S3×C4○D4Direct product of C3, S3 and C4○D4484C3xS3xC4oD4288,998
C3×D4○D12Direct product of C3 and D4○D12484C3xD4oD12288,999
C3×Q8○D12Direct product of C3 and Q8○D12484C3xQ8oD12288,1000
C2×C6×C3⋊D4Direct product of C2×C6 and C3⋊D448C2xC6xC3:D4288,1002
C23×C32⋊C4Direct product of C23 and C32⋊C448C2^3xC3^2:C4288,1039
S32×C23Direct product of C23, S3 and S348S3^2xC2^3288,1040

Groups of order 432

dρLabelID
C3×C322C16Direct product of C3 and C322C16484C3xC3^2:2C16432,412
C334C162nd semidirect product of C33 and C16 acting via C16/C4=C4484C3^3:4C16432,413
C3×S3×C3⋊C8Direct product of C3, S3 and C3⋊C8484C3xS3xC3:C8432,414
C3×C12.29D6Direct product of C3 and C12.29D6484C3xC12.29D6432,415
C3×D6.Dic3Direct product of C3 and D6.Dic3484C3xD6.Dic3432,416
C3×C12.31D6Direct product of C3 and C12.31D6484C3xC12.31D6432,417
C3×C322D8Direct product of C3 and C322D8484C3xC3^2:2D8432,418
C3×C3⋊D24Direct product of C3 and C3⋊D24484C3xC3:D24432,419
C3×Dic6⋊S3Direct product of C3 and Dic6⋊S3484C3xDic6:S3432,420
C3×D12.S3Direct product of C3 and D12.S3484C3xD12.S3432,421
C3×C325SD16Direct product of C3 and C325SD16484C3xC3^2:5SD16432,422
C3×C322Q16Direct product of C3 and C322Q16484C3xC3^2:2Q16432,423
C3×C323Q16Direct product of C3 and C323Q16484C3xC3^2:3Q16432,424
C3×Dic32Direct product of C3, Dic3 and Dic348C3xDic3^2432,425
C3×D6⋊Dic3Direct product of C3 and D6⋊Dic348C3xD6:Dic3432,426
C3×C6.D12Direct product of C3 and C6.D1248C3xC6.D12432,427
C3×Dic3⋊Dic3Direct product of C3 and Dic3⋊Dic348C3xDic3:Dic3432,428
C3×C62.C22Direct product of C3 and C62.C2248C3xC6^2.C2^2432,429
C12.93S3213rd non-split extension by C12 of S32 acting via S32/C3⋊S3=C2484C12.93S3^2432,455
C3310M4(2)6th semidirect product of C33 and M4(2) acting via M4(2)/C4=C22484C3^3:10M4(2)432,456
C339D86th semidirect product of C33 and D8 acting via D8/C4=C22484C3^3:9D8432,457
C3318SD1610th semidirect product of C33 and SD16 acting via SD16/C4=C22484C3^3:18SD16432,458
C339Q166th semidirect product of C33 and Q16 acting via Q16/C4=C22484C3^3:9Q16432,459
C336C423rd semidirect product of C33 and C42 acting via C42/C22=C2248C3^3:6C4^2432,460
C62.84D632nd non-split extension by C62 of D6 acting via D6/C3=C2248C6^2.84D6432,461
C62.85D633rd non-split extension by C62 of D6 acting via D6/C3=C2248C6^2.85D6432,462
C3×C2.F9Direct product of C3 and C2.F9488C3xC2.F9432,565
C6.F93rd non-split extension by C6 of F9 acting via F9/C32⋊C4=C2488C6.F9432,566
Dic3×C32⋊C4Direct product of Dic3 and C32⋊C4488-Dic3xC3^2:C4432,567
C33⋊(C4⋊C4)The semidirect product of C33 and C4⋊C4 acting via C4⋊C4/C2=C2×C4488-C3^3:(C4:C4)432,569
S3×C322C8Direct product of S3 and C322C8488-S3xC3^2:2C8432,570
C33⋊M4(2)1st semidirect product of C33 and M4(2) acting via M4(2)/C2=C2×C4488-C3^3:M4(2)432,572
C3×C3⋊S3.Q8Direct product of C3 and C3⋊S3.Q8484C3xC3:S3.Q8432,575
C3×C32⋊Q16Direct product of C3 and C32⋊Q16484C3xC3^2:Q16432,578
C33⋊C4⋊C42nd semidirect product of C33⋊C4 and C4 acting via C4/C2=C2484C3^3:C4:C4432,581
C33⋊Q162nd semidirect product of C33 and Q16 acting via Q16/C2=D4484C3^3:Q16432,585
(C3×C6).9D122nd non-split extension by C3×C6 of D12 acting via D12/C3=D4488-(C3xC6).9D12432,587
C333Q163rd semidirect product of C33 and Q16 acting via Q16/C2=D4488-C3^3:3Q16432,590
C3×C2.PSU3(𝔽2)Direct product of C3 and C2.PSU3(𝔽2)488C3xC2.PSU(3,2)432,591
C6.PSU3(𝔽2)1st non-split extension by C6 of PSU3(𝔽2) acting via PSU3(𝔽2)/C32⋊C4=C2488C6.PSU(3,2)432,592
C6.2PSU3(𝔽2)2nd non-split extension by C6 of PSU3(𝔽2) acting via PSU3(𝔽2)/C32⋊C4=C2488C6.2PSU(3,2)432,593
S32×Dic3Direct product of S3, S3 and Dic3488-S3^2xDic3432,594
Dic36S322nd semidirect product of Dic3 and S32 acting through Inn(Dic3)488-Dic3:6S3^2432,596
S3×D6⋊S3Direct product of S3 and D6⋊S3488-S3xD6:S3432,597
D6⋊S323rd semidirect product of D6 and S32 acting via S32/C3×S3=C2488-D6:S3^2432,600
S3×C322Q8Direct product of S3 and C322Q8488-S3xC3^2:2Q8432,603
C335(C2×Q8)2nd semidirect product of C33 and C2×Q8 acting via C2×Q8/C2=C23488-C3^3:5(C2xQ8)432,604
D6.S322nd non-split extension by D6 of S32 acting via S32/C3×S3=C2488-D6.S3^2432,607
D6.4S321st non-split extension by D6 of S32 acting via S32/C3⋊S3=C2488-D6.4S3^2432,608
D6⋊S3⋊S35th semidirect product of D6⋊S3 and S3 acting via S3/C3=C2488-D6:S3:S3432,610
D6.6S323rd non-split extension by D6 of S32 acting via S32/C3⋊S3=C2488-D6.6S3^2432,611
C3×C6.5S4Direct product of C3 and C6.5S4484C3xC6.5S4432,616
C3×C6.6S4Direct product of C3 and C6.6S4484C3xC6.6S4432,617
C3×Dic3.A4Direct product of C3 and Dic3.A4484C3xDic3.A4432,622
C3×S3×SL2(𝔽3)Direct product of C3, S3 and SL2(𝔽3)484C3xS3xSL(2,3)432,623
C3×C3⋊S33C8Direct product of C3 and C3⋊S33C8484C3xC3:S3:3C8432,628
C3×C32⋊M4(2)Direct product of C3 and C32⋊M4(2)484C3xC3^2:M4(2)432,629
C12×C32⋊C4Direct product of C12 and C32⋊C4484C12xC3^2:C4432,630
C3×C4⋊(C32⋊C4)Direct product of C3 and C4⋊(C32⋊C4)484C3xC4:(C3^2:C4)432,631
C6×C322C8Direct product of C6 and C322C848C6xC3^2:2C8432,632
C337(C2×C8)2nd semidirect product of C33 and C2×C8 acting via C2×C8/C4=C4484C3^3:7(C2xC8)432,635
C334M4(2)2nd semidirect product of C33 and M4(2) acting via M4(2)/C4=C4484C3^3:4M4(2)432,636
C4×C33⋊C4Direct product of C4 and C33⋊C4484C4xC3^3:C4432,637
C339(C4⋊C4)2nd semidirect product of C33 and C4⋊C4 acting via C4⋊C4/C4=C4484C3^3:9(C4:C4)432,638
C2×C334C8Direct product of C2 and C334C848C2xC3^3:4C8432,639
C3×S3×Dic6Direct product of C3, S3 and Dic6484C3xS3xDic6432,642
C3×D125S3Direct product of C3 and D125S3484C3xD12:5S3432,643
C3×D12⋊S3Direct product of C3 and D12⋊S3484C3xD12:S3432,644
C3×Dic3.D6Direct product of C3 and Dic3.D6484C3xDic3.D6432,645
C3×D6.D6Direct product of C3 and D6.D6484C3xD6.D6432,646
C3×D6.6D6Direct product of C3 and D6.6D6484C3xD6.6D6432,647
S32×C12Direct product of C12, S3 and S3484S3^2xC12432,648
C3×S3×D12Direct product of C3, S3 and D12484C3xS3xD12432,649
C3×D6⋊D6Direct product of C3 and D6⋊D6484C3xD6:D6432,650
S3×C6×Dic3Direct product of C6, S3 and Dic348S3xC6xDic3432,651
C6×C6.D6Direct product of C6 and C6.D648C6xC6.D6432,654
C6×D6⋊S3Direct product of C6 and D6⋊S348C6xD6:S3432,655
C6×C3⋊D12Direct product of C6 and C3⋊D1248C6xC3:D12432,656
C6×C322Q8Direct product of C6 and C322Q848C6xC3^2:2Q8432,657
C3⋊S34Dic6The semidirect product of C3⋊S3 and Dic6 acting via Dic6/C12=C2484C3:S3:4Dic6432,687
C12⋊S312S36th semidirect product of C12⋊S3 and S3 acting via S3/C3=C2484C12:S3:12S3432,688
C12.95S3215th non-split extension by C12 of S32 acting via S32/C3⋊S3=C2484C12.95S3^2432,689
C4×C324D6Direct product of C4 and C324D6484C4xC3^2:4D6432,690
C123S323rd semidirect product of C12 and S32 acting via S32/C32=C22484C12:3S3^2432,691
C2×C339(C2×C4)Direct product of C2 and C339(C2×C4)48C2xC3^3:9(C2xC4)432,692
C2×C339D4Direct product of C2 and C339D448C2xC3^3:9D4432,694
C2×C335Q8Direct product of C2 and C335Q848C2xC3^3:5Q8432,695
C6×F9Direct product of C6 and F9488C6xF9432,751
C2×C3⋊F9Direct product of C2 and C3⋊F9488C2xC3:F9432,752
C6×PSU3(𝔽2)Direct product of C6 and PSU3(𝔽2)488C6xPSU(3,2)432,757
C2×C33⋊Q8Direct product of C2 and C33⋊Q8488C2xC3^3:Q8432,758
C2×C6×C32⋊C4Direct product of C2×C6 and C32⋊C448C2xC6xC3^2:C4432,765
C22×C33⋊C4Direct product of C22 and C33⋊C448C2^2xC3^3:C4432,766
S32×C2×C6Direct product of C2×C6, S3 and S348S3^2xC2xC6432,767
C22×C324D6Direct product of C22 and C324D648C2^2xC3^2:4D6432,769

Groups of order 480

dρLabelID
C8.A5The central extension by C8 of A5482C8.A5480,221
C4.6S53rd central extension by C4 of S5484C4.6S5480,946
C4.S52nd non-split extension by C4 of S5 acting via S5/A5=C2484C4.S5480,947
C22.S5The non-split extension by C22 of S5 acting via S5/A5=C2484-C2^2.S5480,953
C2×C4.A5Direct product of C2 and C4.A548C2xC4.A5480,955
D4.A5The non-split extension by D4 of A5 acting through Inn(D4)484-D4.A5480,957
Q8.A5The non-split extension by Q8 of A5 acting through Inn(Q8)484+Q8.A5480,959

On 49 points

Groups of order 49

dρLabelID
C49Cyclic group491C4949,1
C72Elementary abelian group of type [7,7]49C7^249,2

Groups of order 98

dρLabelID
D49Dihedral group492+D4998,1
C7⋊D7The semidirect product of C7 and D7 acting via D7/C7=C249C7:D798,4

Groups of order 147

dρLabelID
C49⋊C3The semidirect product of C49 and C3 acting faithfully493C49:C3147,1
C72⋊C32nd semidirect product of C72 and C3 acting faithfully49C7^2:C3147,4

Groups of order 294

dρLabelID
C49⋊C6The semidirect product of C49 and C6 acting faithfully496+C49:C6294,1
C7⋊F71st semidirect product of C7 and F7 acting via F7/C7=C649C7:F7294,13

Groups of order 343

dρLabelID
He7Heisenberg group; = C72C7 = 7+ 1+2497He7343,3
7- 1+2Extraspecial group497ES-(7,1)343,4

On 50 points

Groups of order 50

dρLabelID
C50Cyclic group501C5050,2
C5×C10Abelian group of type [5,10]50C5xC1050,5

Groups of order 100

dρLabelID
D50Dihedral group; = C2×D25502+D50100,4
C2×C5⋊D5Direct product of C2 and C5⋊D550C2xC5:D5100,15

Groups of order 200

dρLabelID
C2×C25⋊C4Direct product of C2 and C25⋊C4504+C2xC25:C4200,12
C2×C5⋊F5Direct product of C2 and C5⋊F550C2xC5:F5200,47

Groups of order 250

dρLabelID
C5×D25Direct product of C5 and D25502C5xD25250,3
D5×C25Direct product of C25 and D5502D5xC25250,4
C2×He5Direct product of C2 and He5505C2xHe5250,10
C2×5- 1+2Direct product of C2 and 5- 1+2505C2xES-(5,1)250,11
D5×C52Direct product of C52 and D550D5xC5^2250,12
C5×C5⋊D5Direct product of C5 and C5⋊D550C5xC5:D5250,13

Groups of order 400

dρLabelID
C24⋊C25The semidirect product of C24 and C25 acting via C25/C5=C5505C2^4:C25400,52
C5×C24⋊C5Direct product of C5 and C24⋊C5505C5xC2^4:C5400,213

Groups of order 500

dρLabelID
C252F52nd semidirect product of C25 and F5 acting via F5/C5=C4504+C25:2F5500,24
D5×D25Direct product of D5 and D25504+D5xD25500,26
C2×C52⋊C10Direct product of C2 and C52⋊C105010+C2xC5^2:C10500,30
C2×C25⋊C10Direct product of C2 and C25⋊C105010+C2xC25:C10500,31
C2×He5⋊C2Direct product of C2 and He5⋊C2505C2xHe5:C2500,33
C539C49th semidirect product of C53 and C4 acting faithfully50C5^3:9C4500,49
D5×C5⋊D5Direct product of D5 and C5⋊D550D5xC5:D5500,51

On 51 points

Groups of order 51

dρLabelID
C51Cyclic group511C5151,1

Groups of order 102

dρLabelID
S3×C17Direct product of C17 and S3512S3xC17102,1
C3×D17Direct product of C3 and D17512C3xD17102,2
D51Dihedral group512+D51102,3

Groups of order 204

dρLabelID
C3×C17⋊C4Direct product of C3 and C17⋊C4514C3xC17:C4204,5
C51⋊C41st semidirect product of C51 and C4 acting faithfully514C51:C4204,6
S3×D17Direct product of S3 and D17514+S3xD17204,7

Groups of order 408

dρLabelID
C3×C17⋊C8Direct product of C3 and C17⋊C8518C3xC17:C8408,33
C51⋊C81st semidirect product of C51 and C8 acting faithfully518C51:C8408,34
S3×C17⋊C4Direct product of S3 and C17⋊C4518+S3xC17:C4408,35

On 52 points

Groups of order 52

dρLabelID
Dic13Dicyclic group; = C132C4522-Dic1352,1
C52Cyclic group521C5252,2
C2×C26Abelian group of type [2,26]52C2xC2652,5

Groups of order 104

dρLabelID
C4×D13Direct product of C4 and D13522C4xD13104,5
D52Dihedral group522+D52104,6
C13⋊D4The semidirect product of C13 and D4 acting via D4/C22=C2522C13:D4104,8
D4×C13Direct product of C13 and D4522D4xC13104,10
C22×D13Direct product of C22 and D1352C2^2xD13104,13

Groups of order 156

dρLabelID
C26.C6The non-split extension by C26 of C6 acting faithfully526-C26.C6156,1
C4×C13⋊C3Direct product of C4 and C13⋊C3523C4xC13:C3156,2
C22×C13⋊C3Direct product of C22 and C13⋊C352C2^2xC13:C3156,12
A4×C13Direct product of C13 and A4523A4xC13156,13
C13⋊A4The semidirect product of C13 and A4 acting via A4/C22=C3523C13:A4156,14

Groups of order 208

dρLabelID
C4×C13⋊C4Direct product of C4 and C13⋊C4524C4xC13:C4208,30
C52⋊C41st semidirect product of C52 and C4 acting faithfully524C52:C4208,31
D13.D4The non-split extension by D13 of D4 acting via D4/C22=C2524+D13.D4208,34
D4×D13Direct product of D4 and D13524+D4xD13208,39
C22×C13⋊C4Direct product of C22 and C13⋊C452C2^2xC13:C4208,49

Groups of order 312

dρLabelID
C4×C13⋊C6Direct product of C4 and C13⋊C6526C4xC13:C6312,9
D52⋊C3The semidirect product of D52 and C3 acting faithfully526+D52:C3312,10
D26⋊C62nd semidirect product of D26 and C6 acting faithfully526D26:C6312,12
D4×C13⋊C3Direct product of D4 and C13⋊C3526D4xC13:C3312,23
C13×S4Direct product of C13 and S4523C13xS4312,47
C13⋊S4The semidirect product of C13 and S4 acting via S4/A4=C2526+C13:S4312,48
C22×C13⋊C6Direct product of C22 and C13⋊C652C2^2xC13:C6312,49
A4×D13Direct product of A4 and D13526+A4xD13312,50
D13⋊A4The semidirect product of D13 and A4 acting via A4/C22=C3526+D13:A4312,51

Groups of order 416

dρLabelID
D4×C13⋊C4Direct product of D4 and C13⋊C4528+D4xC13:C4416,206

Groups of order 468

dρLabelID
A4×C13⋊C3Direct product of A4 and C13⋊C3529A4xC13:C3468,32

On 53 points

Groups of order 53

dρLabelID
C53Cyclic group531C5353,1

Groups of order 106

dρLabelID
D53Dihedral group532+D53106,1

Groups of order 212

dρLabelID
C53⋊C4The semidirect product of C53 and C4 acting faithfully534+C53:C4212,3

On 54 points

Groups of order 54

dρLabelID
C54Cyclic group541C5454,2
C3×C18Abelian group of type [3,18]54C3xC1854,9
C32×C6Abelian group of type [3,3,6]54C3^2xC654,15

Groups of order 108

dρLabelID
C9.A4The central extension by C9 of A4543C9.A4108,3
D54Dihedral group; = C2×D27542+D54108,4
C3×C3.A4Direct product of C3 and C3.A454C3xC3.A4108,20
C2×C9⋊S3Direct product of C2 and C9⋊S354C2xC9:S3108,27
C2×C33⋊C2Direct product of C2 and C33⋊C254C2xC3^3:C2108,44

Groups of order 162

dρLabelID
C3×D27Direct product of C3 and D27542C3xD27162,7
S3×C27Direct product of C27 and S3542S3xC27162,8
C2×C32⋊C9Direct product of C2 and C32⋊C954C2xC3^2:C9162,24
C2×C27⋊C3Direct product of C2 and C27⋊C3543C2xC27:C3162,27
C2×He3.C3Direct product of C2 and He3.C3543C2xHe3.C3162,29
C2×He3⋊C3Direct product of C2 and He3⋊C3543C2xHe3:C3162,30
C2×C3.He3Direct product of C2 and C3.He3543C2xC3.He3162,31
C32×D9Direct product of C32 and D954C3^2xD9162,32
S3×C3×C9Direct product of C3×C9 and S354S3xC3xC9162,33
C3×C9⋊S3Direct product of C3 and C9⋊S354C3xC9:S3162,38
C9×C3⋊S3Direct product of C9 and C3⋊S354C9xC3:S3162,39
C6×He3Direct product of C6 and He354C6xHe3162,48
C6×3- 1+2Direct product of C6 and 3- 1+254C6xES-(3,1)162,49
C2×C9○He3Direct product of C2 and C9○He3543C2xC9oHe3162,50
S3×C33Direct product of C33 and S354S3xC3^3162,51
C3×C33⋊C2Direct product of C3 and C33⋊C254C3xC3^3:C2162,53

Groups of order 216

dρLabelID
C9.S4The non-split extension by C9 of S4 acting via S4/A4=C2546+C9.S4216,21
C2×C9.A4Direct product of C2 and C9.A4543C2xC9.A4216,22
C32.3S42nd non-split extension by C32 of S4 acting via S4/A4=C254C3^2.3S4216,94
A4×C18Direct product of C18 and A4543A4xC18216,103
C2×C9⋊A4Direct product of C2 and C9⋊A4543C2xC9:A4216,104
C6×C3.A4Direct product of C6 and C3.A454C6xC3.A4216,105
A4×C3×C6Direct product of C3×C6 and A454A4xC3xC6216,173

Groups of order 324

dρLabelID
S3×D27Direct product of S3 and D27544+S3xD27324,38
C62.C92nd non-split extension by C62 of C9 acting via C9/C3=C3543C6^2.C9324,45
C62.13C324th non-split extension by C62 of C32 acting via C32/C3=C3543C6^2.13C3^2324,49
C62.14C325th non-split extension by C62 of C32 acting via C32/C3=C3543C6^2.14C3^2324,50
C62.15C326th non-split extension by C62 of C32 acting via C32/C3=C3543C6^2.15C3^2324,51
He3.A4The non-split extension by He3 of A4 acting via A4/C22=C3549He3.A4324,53
He3⋊A41st semidirect product of He3 and A4 acting via A4/C22=C3549He3:A4324,54
C62.C324th non-split extension by C62 of C32 acting faithfully549C6^2.C3^2324,56
3- 1+2⋊A41st semidirect product of 3- 1+2 and A4 acting via A4/C22=C3549ES-(3,1):A4324,57
C62⋊C91st semidirect product of C62 and C9 acting via C9/C3=C354C6^2:C9324,59
C2×C32⋊D9Direct product of C2 and C32⋊D954C2xC3^2:D9324,63
C2×C27⋊C6Direct product of C2 and C27⋊C6546+C2xC27:C6324,67
C2×He3.C6Direct product of C2 and He3.C6543C2xHe3.C6324,70
C2×He3.S3Direct product of C2 and He3.S3546+C2xHe3.S3324,71
C2×He3.2C6Direct product of C2 and He3.2C6543C2xHe3.2C6324,72
C2×He3.2S3Direct product of C2 and He3.2S3546+C2xHe3.2S3324,73
C2×He3.3S3Direct product of C2 and He3.3S3546+C2xHe3.3S3324,78
C2×He3⋊S3Direct product of C2 and He3⋊S3546+C2xHe3:S3324,79
C2×3- 1+2.S3Direct product of C2 and 3- 1+2.S3546+C2xES-(3,1).S3324,80
C3×He3⋊C4Direct product of C3 and He3⋊C454C3xHe3:C4324,110
He3.3C12The non-split extension by He3 of C12 acting via C12/C3=C4543He3.3C12324,111
D9×C3⋊S3Direct product of D9 and C3⋊S354D9xC3:S3324,119
S3×C9⋊S3Direct product of S3 and C9⋊S354S3xC9:S3324,120
C62.25C3216th non-split extension by C62 of C32 acting via C32/C3=C3543C6^2.25C3^2324,128
He3.2A4The non-split extension by He3 of A4 acting through Inn(He3)549He3.2A4324,129
C62.9C329th non-split extension by C62 of C32 acting faithfully549C6^2.9C3^2324,132
C3×C32.A4Direct product of C3 and C32.A454C3xC3^2.A4324,134
C3×C32⋊A4Direct product of C3 and C32⋊A454C3xC3^2:A4324,135
C2×He34S3Direct product of C2 and He34S354C2xHe3:4S3324,144
C6×He3⋊C2Direct product of C6 and He3⋊C254C6xHe3:C2324,145
C2×C33.S3Direct product of C2 and C33.S354C2xC3^3.S3324,146
C2×He3.4S3Direct product of C2 and He3.4S3546+C2xHe3.4S3324,147
C2×He3.4C6Direct product of C2 and He3.4C6543C2xHe3.4C6324,148
S3×C33⋊C2Direct product of S3 and C33⋊C254S3xC3^3:C2324,168

Groups of order 432

dρLabelID
C2×C9.S4Direct product of C2 and C9.S4546+C2xC9.S4432,224
A4×C3.A4Direct product of A4 and C3.A4549A4xC3.A4432,524
C24⋊3- 1+21st semidirect product of C24 and 3- 1+2 acting via 3- 1+2/C3=C32549C2^4:ES-(3,1)432,527
C2×He3⋊C8Direct product of C2 and He3⋊C8546+C2xHe3:C8432,529
C2×SU3(𝔽2)Direct product of C2 and SU3(𝔽2)543C2xSU(3,2)432,531
C18×S4Direct product of C18 and S4543C18xS4432,532
C2×C9⋊S4Direct product of C2 and C9⋊S4546+C2xC9:S4432,536
C2×C32.3S4Direct product of C2 and C32.3S454C2xC3^2.3S4432,537
C2×D9⋊A4Direct product of C2 and D9⋊A4546+C2xD9:A4432,539
C2×A4×D9Direct product of C2, A4 and D9546+C2xA4xD9432,540
C3×C6×S4Direct product of C3×C6 and S454C3xC6xS4432,760
C2×C324S4Direct product of C2 and C324S454C2xC3^2:4S4432,762
C2×A4×C3⋊S3Direct product of C2, A4 and C3⋊S354C2xA4xC3:S3432,764

Groups of order 486

dρLabelID
C9⋊S3⋊C91st semidirect product of C9⋊S3 and C9 acting via C9/C3=C354C9:S3:C9486,3
C3.C3≀S31st non-split extension by C3 of C3≀S3 acting via C3≀S3/C3≀C3=C2546C3.C3wrS3486,4
C3.3C3≀S33rd non-split extension by C3 of C3≀S3 acting via C3≀S3/C3≀C3=C2546C3.3C3wrS3486,8
(C3×He3).C62nd non-split extension by C3×He3 of C6 acting faithfully546(C3xHe3).C6486,9
C32⋊C9.C62nd non-split extension by C32⋊C9 of C6 acting faithfully546C3^2:C9.C6486,10
C33.(C3×S3)8th non-split extension by C33 of C3×S3 acting faithfully546C3^3.(C3xS3)486,11
C322D9.C33rd non-split extension by C322D9 of C3 acting faithfully546C3^2:2D9.C3486,12
C9×D27Direct product of C9 and D27542C9xD27486,13
D9×C27Direct product of C27 and D9542D9xC27486,14
C273C18The semidirect product of C27 and C18 acting via C18/C3=C6546C27:3C18486,15
C32⋊C54The semidirect product of C32 and C54 acting via C54/C9=C6546C3^2:C54486,16
(C3×C9)⋊C182nd semidirect product of C3×C9 and C18 acting via C18/C3=C6546(C3xC9):C18486,20
(C3×C9)⋊D92nd semidirect product of C3×C9 and D9 acting via D9/C3=S3546(C3xC9):D9486,21
C9⋊S33C93rd semidirect product of C9⋊S3 and C9 acting via C9/C3=C3546C9:S3:3C9486,22
(C3×C9)⋊3D93rd semidirect product of C3×C9 and D9 acting via D9/C3=S3546(C3xC9):3D9486,23
C9⋊C54The semidirect product of C9 and C54 acting via C54/C9=C6546C9:C54486,30
C322D272nd semidirect product of C32 and D27 acting via D27/C9=S3546C3^2:2D27486,51
C2×C33⋊C9Direct product of C2 and C33⋊C954C2xC3^3:C9486,73
C2×C9.4He3Direct product of C2 and C9.4He3543C2xC9.4He3486,76
C2×C27⋊C9Direct product of C2 and C27⋊C9549C2xC27:C9486,82
C2×C92⋊C3Direct product of C2 and C92⋊C3543C2xC9^2:C3486,85
C2×C922C3Direct product of C2 and C922C3543C2xC9^2:2C3486,86
C2×C92.C3Direct product of C2 and C92.C3543C2xC9^2.C3486,87
C2×C32.He3Direct product of C2 and C32.He3549C2xC3^2.He3486,88
C2×C32.5He3Direct product of C2 and C32.5He3549C2xC3^2.5He3486,89
C2×C32.6He3Direct product of C2 and C32.6He3549C2xC3^2.6He3486,90
D9×C3×C9Direct product of C3×C9 and D954D9xC3xC9486,91
C3×C32⋊C18Direct product of C3 and C32⋊C1854C3xC3^2:C18486,93
C3×C32⋊D9Direct product of C3 and C32⋊D954C3xC3^2:D9486,94
S3×C32⋊C9Direct product of S3 and C32⋊C954S3xC3^2:C9486,95
C3×C9⋊C18Direct product of C3 and C9⋊C1854C3xC9:C18486,96
C9×C32⋊C6Direct product of C9 and C32⋊C6546C9xC3^2:C6486,98
D9×He3Direct product of D9 and He3546D9xHe3486,99
C9×C9⋊C6Direct product of C9 and C9⋊C6546C9xC9:C6486,100
D9×3- 1+2Direct product of D9 and 3- 1+2546D9xES-(3,1)486,101
D9⋊He3The semidirect product of D9 and He3 acting via He3/C32=C3546D9:He3486,106
C9⋊He3⋊C23rd semidirect product of C9⋊He3 and C2 acting faithfully546C9:He3:C2486,107
D9⋊3- 1+2The semidirect product of D9 and 3- 1+2 acting via 3- 1+2/C32=C3546D9:ES-(3,1)486,108
C927C67th semidirect product of C92 and C6 acting faithfully546C9^2:7C6486,109
C3×C27⋊C6Direct product of C3 and C27⋊C6546C3xC27:C6486,113
S3×C27⋊C3Direct product of S3 and C27⋊C3546S3xC27:C3486,114
C3×He3.S3Direct product of C3 and He3.S3546C3xHe3.S3486,119
S3×He3.C3Direct product of S3 and He3.C3546S3xHe3.C3486,120
C3×He3.2S3Direct product of C3 and He3.2S3546C3xHe3.2S3486,122
S3×He3⋊C3Direct product of S3 and He3⋊C3546S3xHe3:C3486,123
S3×C3.He3Direct product of S3 and C3.He3546S3xC3.He3486,124
C9×C9⋊S3Direct product of C9 and C9⋊S354C9xC9:S3486,133
C3×C322D9Direct product of C3 and C322D954C3xC3^2:2D9486,135
C33⋊C184th semidirect product of C33 and C18 acting via C18/C3=C654C3^3:C18486,136
C9⋊(S3×C9)The semidirect product of C9 and S3×C9 acting via S3×C9/C32=C654C9:(S3xC9)486,138
C923S33rd semidirect product of C92 and S3 acting faithfully546C9^2:3S3486,139
C924S34th semidirect product of C92 and S3 acting faithfully546C9^2:4S3486,140
(C32×C9)⋊S314th semidirect product of C32×C9 and S3 acting faithfully546(C3^2xC9):S3486,149
(C32×C9)⋊8S38th semidirect product of C32×C9 and S3 acting faithfully546(C3^2xC9):8S3486,150
C9⋊C92S32nd semidirect product of C9⋊C9 and S3 acting faithfully546C9:C9:2S3486,152
C925S35th semidirect product of C92 and S3 acting faithfully546C9^2:5S3486,156
C3×He3.3S3Direct product of C3 and He3.3S3546C3xHe3.3S3486,168
He3.C3⋊S35th semidirect product of He3.C3 and S3 acting via S3/C3=C2546He3.C3:S3486,169
C3×He3⋊S3Direct product of C3 and He3⋊S3546C3xHe3:S3486,171
He3⋊C32S31st semidirect product of He3⋊C3 and S3 acting via S3/C3=C2546He3:C3:2S3486,172
C3×3- 1+2.S3Direct product of C3 and 3- 1+2.S3546C3xES-(3,1).S3486,174
C336D96th semidirect product of C33 and D9 acting via D9/C3=S354C3^3:6D9486,181
He34D92nd semidirect product of He3 and D9 acting via D9/C9=C2546He3:4D9486,182
C2×C32⋊He3Direct product of C2 and C32⋊He354C2xC3^2:He3486,196
C2×C34.C3Direct product of C2 and C34.C354C2xC3^4.C3486,197
C6×C3≀C3Direct product of C6 and C3≀C354C6xC3wrC3486,210
C2×C9.He3Direct product of C2 and C9.He3543C2xC9.He3486,214
C2×C33⋊C32Direct product of C2 and C33⋊C32549C2xC3^3:C3^2486,215
C2×He3.C32Direct product of C2 and He3.C32549C2xHe3.C3^2486,216
C2×He3⋊C32Direct product of C2 and He3⋊C32549C2xHe3:C3^2486,217
C2×C32.C33Direct product of C2 and C32.C33549C2xC3^2.C3^3486,218
C2×C9.2He3Direct product of C2 and C9.2He3549C2xC9.2He3486,219
C32×C32⋊C6Direct product of C32 and C32⋊C654C3^2xC3^2:C6486,222
C3×S3×He3Direct product of C3, S3 and He354C3xS3xHe3486,223
C32×C9⋊C6Direct product of C32 and C9⋊C654C3^2xC9:C6486,224
C3×S3×3- 1+2Direct product of C3, S3 and 3- 1+254C3xS3xES-(3,1)486,225
S3×C9○He3Direct product of S3 and C9○He3546S3xC9oHe3486,226
C32×C9⋊S3Direct product of C32 and C9⋊S354C3^2xC9:S3486,227
C3⋊S3×C3×C9Direct product of C3×C9 and C3⋊S354C3:S3xC3xC9486,228
C3×He34S3Direct product of C3 and He34S354C3xHe3:4S3486,229
C3⋊S3×He3Direct product of C3⋊S3 and He354C3:S3xHe3486,231
C3×C33.S3Direct product of C3 and C33.S354C3xC3^3.S3486,232
C3⋊S3×3- 1+2Direct product of C3⋊S3 and 3- 1+254C3:S3xES-(3,1)486,233
C3×He3.4S3Direct product of C3 and He3.4S3546C3xHe3.4S3486,234
C3×He35S3Direct product of C3 and He35S354C3xHe3:5S3486,243
C9○He34S32nd semidirect product of C9○He3 and S3 acting via S3/C3=C2546C9oHe3:4S3486,246
C3413S313rd semidirect product of C34 and S3 acting faithfully54C3^4:13S3486,248
C2×3+ 1+4Direct product of C2 and 3+ 1+4549C2xES+(3,2)486,254
C2×3- 1+4Direct product of C2 and 3- 1+4549C2xES-(3,2)486,255
C3⋊S3×C33Direct product of C33 and C3⋊S354C3:S3xC3^3486,257
C32×C33⋊C2Direct product of C32 and C33⋊C254C3^2xC3^3:C2486,258

On 55 points

Groups of order 55

dρLabelID
C55Cyclic group551C5555,2

Groups of order 110

dρLabelID
D5×C11Direct product of C11 and D5552D5xC11110,3
C5×D11Direct product of C5 and D11552C5xD11110,4
D55Dihedral group552+D55110,5

Groups of order 220

dρLabelID
C11×F5Direct product of C11 and F5554C11xF5220,9
C11⋊F5The semidirect product of C11 and F5 acting via F5/D5=C2554C11:F5220,10
D5×D11Direct product of D5 and D11554+D5xD11220,11

Groups of order 275

dρLabelID
C5×C11⋊C5Direct product of C5 and C11⋊C5555C5xC11:C5275,3

Groups of order 440

dρLabelID
F5×D11Direct product of F5 and D11558+F5xD11440,43

On 56 points

Groups of order 56

dρLabelID
C7⋊C8The semidirect product of C7 and C8 acting via C8/C4=C2562C7:C856,1
C56Cyclic group561C5656,2
Dic14Dicyclic group; = C7Q8562-Dic1456,3
C2×Dic7Direct product of C2 and Dic756C2xDic756,6
C2×C28Abelian group of type [2,28]56C2xC2856,8
C7×Q8Direct product of C7 and Q8562C7xQ856,10
C22×C14Abelian group of type [2,2,14]56C2^2xC1456,13

Groups of order 112

dρLabelID
C8×D7Direct product of C8 and D7562C8xD7112,3
C8⋊D73rd semidirect product of C8 and D7 acting via D7/C7=C2562C8:D7112,4
C56⋊C22nd semidirect product of C56 and C2 acting faithfully562C56:C2112,5
D56Dihedral group562+D56112,6
C4.Dic7The non-split extension by C4 of Dic7 acting via Dic7/C14=C2562C4.Dic7112,9
D14⋊C4The semidirect product of D14 and C4 acting via C4/C2=C256D14:C4112,13
D4⋊D7The semidirect product of D4 and D7 acting via D7/C7=C2564+D4:D7112,14
D4.D7The non-split extension by D4 of D7 acting via D7/C7=C2564-D4.D7112,15
Q8⋊D7The semidirect product of Q8 and D7 acting via D7/C7=C2564+Q8:D7112,16
C23.D7The non-split extension by C23 of D7 acting via D7/C7=C256C2^3.D7112,18
C7×C22⋊C4Direct product of C7 and C22⋊C456C7xC2^2:C4112,20
C7×M4(2)Direct product of C7 and M4(2)562C7xM4(2)112,23
C7×D8Direct product of C7 and D8562C7xD8112,24
C7×SD16Direct product of C7 and SD16562C7xSD16112,25
C2×C4×D7Direct product of C2×C4 and D756C2xC4xD7112,28
C2×D28Direct product of C2 and D2856C2xD28112,29
C4○D28Central product of C4 and D28562C4oD28112,30
D42D7The semidirect product of D4 and D7 acting through Inn(D4)564-D4:2D7112,32
Q8×D7Direct product of Q8 and D7564-Q8xD7112,33
Q82D7The semidirect product of Q8 and D7 acting through Inn(Q8)564+Q8:2D7112,34
C2×C7⋊D4Direct product of C2 and C7⋊D456C2xC7:D4112,36
D4×C14Direct product of C14 and D456D4xC14112,38
C7×C4○D4Direct product of C7 and C4○D4562C7xC4oD4112,40
C23×D7Direct product of C23 and D756C2^3xD7112,42

Groups of order 168

dρLabelID
C7⋊C24The semidirect product of C7 and C24 acting via C24/C4=C6566C7:C24168,1
C8×C7⋊C3Direct product of C8 and C7⋊C3563C8xC7:C3168,2
C4.F7The non-split extension by C4 of F7 acting via F7/C7⋊C3=C2566-C4.F7168,7
C2×C7⋊C12Direct product of C2 and C7⋊C1256C2xC7:C12168,10
C2×C4×C7⋊C3Direct product of C2×C4 and C7⋊C356C2xC4xC7:C3168,19
Q8×C7⋊C3Direct product of Q8 and C7⋊C3566Q8xC7:C3168,21
C7×SL2(𝔽3)Direct product of C7 and SL2(𝔽3)562C7xSL(2,3)168,22
C14.A4The non-split extension by C14 of A4 acting via A4/C22=C3566C14.A4168,23
C23×C7⋊C3Direct product of C23 and C7⋊C356C2^3xC7:C3168,51

Groups of order 224

dρLabelID
Dic14⋊C41st semidirect product of Dic14 and C4 acting via C4/C2=C2562Dic14:C4224,11
C23.1D141st non-split extension by C23 of D14 acting via D14/C7=C22564C2^3.1D14224,12
C28.46D43rd non-split extension by C28 of D4 acting via D4/C22=C2564+C28.46D4224,29
D284C44th semidirect product of D28 and C4 acting via C4/C2=C2564D28:4C4224,31
C28.D48th non-split extension by C28 of D4 acting via D4/C2=C22564C28.D4224,39
C23⋊Dic7The semidirect product of C23 and Dic7 acting via Dic7/C7=C4564C2^3:Dic7224,40
D42Dic72nd semidirect product of D4 and Dic7 acting via Dic7/C14=C2564D4:2Dic7224,43
C7×C23⋊C4Direct product of C7 and C23⋊C4564C7xC2^3:C4224,48
C7×C4.D4Direct product of C7 and C4.D4564C7xC4.D4224,49
C7×C4≀C2Direct product of C7 and C4≀C2562C7xC4wrC2224,53
D7×C22⋊C4Direct product of D7 and C22⋊C456D7xC2^2:C4224,75
C22⋊D28The semidirect product of C22 and D28 acting via D28/D14=C256C2^2:D28224,77
D7×M4(2)Direct product of D7 and M4(2)564D7xM4(2)224,101
C8⋊D141st semidirect product of C8 and D14 acting via D14/C7=C22564+C8:D14224,103
D7×D8Direct product of D7 and D8564+D7xD8224,105
D8⋊D72nd semidirect product of D8 and D7 acting via D7/C7=C2564D8:D7224,106
D7×SD16Direct product of D7 and SD16564D7xSD16224,108
D56⋊C26th semidirect product of D56 and C2 acting faithfully564+D56:C2224,109
D4.D141st non-split extension by D4 of D14 acting via D14/C14=C2564D4.D14224,127
C23⋊D141st semidirect product of C23 and D14 acting via D14/C7=C2256C2^3:D14224,132
D4⋊D142nd semidirect product of D4 and D14 acting via D14/C14=C2564+D4:D14224,144
C24⋊D71st semidirect product of C24 and D7 acting via D7/C7=C256C2^4:D7224,148
C7×C22≀C2Direct product of C7 and C22≀C256C7xC2^2wrC2224,155
C7×C8⋊C22Direct product of C7 and C8⋊C22564C7xC8:C2^2224,171
C2×D4×D7Direct product of C2, D4 and D756C2xD4xD7224,178
D46D142nd semidirect product of D4 and D14 acting through Inn(D4)564D4:6D14224,180
D7×C4○D4Direct product of D7 and C4○D4564D7xC4oD4224,184
D48D144th semidirect product of D4 and D14 acting through Inn(D4)564+D4:8D14224,185
C7×2+ 1+4Direct product of C7 and 2+ 1+4564C7xES+(2,2)224,193

Groups of order 336

dρLabelID
C8×F7Direct product of C8 and F7566C8xF7336,7
C8⋊F73rd semidirect product of C8 and F7 acting via F7/C7⋊C3=C2566C8:F7336,8
C56⋊C62nd semidirect product of C56 and C6 acting faithfully566C56:C6336,9
D56⋊C3The semidirect product of D56 and C3 acting faithfully566+D56:C3336,10
C28.C121st non-split extension by C28 of C12 acting via C12/C2=C6566C28.C12336,13
D14⋊C12The semidirect product of D14 and C12 acting via C12/C2=C656D14:C12336,17
D4⋊F7The semidirect product of D4 and F7 acting via F7/C7⋊C3=C25612+D4:F7336,18
D4.F7The non-split extension by D4 of F7 acting via F7/C7⋊C3=C25612-D4.F7336,19
Q82F7The semidirect product of Q8 and F7 acting via F7/C7⋊C3=C25612+Q8:2F7336,20
C23.2F7The non-split extension by C23 of F7 acting via F7/C7⋊C3=C256C2^3.2F7336,22
C22⋊C4×C7⋊C3Direct product of C22⋊C4 and C7⋊C356C2^2:C4xC7:C3336,49
M4(2)×C7⋊C3Direct product of M4(2) and C7⋊C3566M4(2)xC7:C3336,52
D8×C7⋊C3Direct product of D8 and C7⋊C3566D8xC7:C3336,53
SD16×C7⋊C3Direct product of SD16 and C7⋊C3566SD16xC7:C3336,54
C7×GL2(𝔽3)Direct product of C7 and GL2(𝔽3)562C7xGL(2,3)336,116
Q8⋊D21The semidirect product of Q8 and D21 acting via D21/C7=S3564+Q8:D21336,119
C2×C4×F7Direct product of C2×C4 and F756C2xC4xF7336,122
C2×C4⋊F7Direct product of C2 and C4⋊F756C2xC4:F7336,123
D286C62nd semidirect product of D28 and C6 acting via C6/C2=C3566D28:6C6336,124
D42F7The semidirect product of D4 and F7 acting through Inn(D4)5612-D4:2F7336,126
Q8×F7Direct product of Q8 and F75612-Q8xF7336,127
Q83F7The semidirect product of Q8 and F7 acting through Inn(Q8)5612+Q8:3F7336,128
C2×Dic7⋊C6Direct product of C2 and Dic7⋊C656C2xDic7:C6336,130
D7×SL2(𝔽3)Direct product of D7 and SL2(𝔽3)564-D7xSL(2,3)336,132
Q8⋊F7The semidirect product of Q8 and F7 acting via F7/D7=C35612-Q8:F7336,135
C2×D4×C7⋊C3Direct product of C2, D4 and C7⋊C356C2xD4xC7:C3336,165
C4○D4×C7⋊C3Direct product of C4○D4 and C7⋊C3566C4oD4xC7:C3336,167
C23×F7Direct product of C23 and F756C2^3xF7336,216

Groups of order 392

dρLabelID
C7×C7⋊C8Direct product of C7 and C7⋊C8562C7xC7:C8392,14
C722C8The semidirect product of C72 and C8 acting via C8/C2=C4564-C7^2:2C8392,17
D7×Dic7Direct product of D7 and Dic7564-D7xDic7392,18
C722D41st semidirect product of C72 and D4 acting via D4/C2=C22564-C7^2:2D4392,20
C722Q8The semidirect product of C72 and Q8 acting via Q8/C2=C22564-C7^2:2Q8392,22
C7×Dic14Direct product of C7 and Dic14562C7xDic14392,23
D7×C28Direct product of C28 and D7562D7xC28392,24
C7×D28Direct product of C7 and D28562C7xD28392,25
C14×Dic7Direct product of C14 and Dic756C14xDic7392,26
C7×F8Direct product of C7 and F8567C7xF8392,39
D7×C2×C14Direct product of C2×C14 and D756D7xC2xC14392,42

Groups of order 448

dρLabelID
C7⋊C2≀C4The semidirect product of C7 and C2≀C4 acting via C2≀C4/C23⋊C4=C2568+C7:C2wrC4448,28
C23.2D282nd non-split extension by C23 of D28 acting via D28/C7=D4568+C2^3.2D28448,31
C23.3D283rd non-split extension by C23 of D28 acting via D28/C7=D4568+C2^3.3D28448,32
C24⋊Dic71st semidirect product of C24 and Dic7 acting via Dic7/C7=C4564C2^4:Dic7448,93
C423Dic73rd semidirect product of C42 and Dic7 acting via Dic7/C7=C4564C4^2:3Dic7448,102
C7×C2≀C4Direct product of C7 and C2≀C4564C7xC2wrC4448,155
C7×C42⋊C4Direct product of C7 and C42⋊C4564C7xC4^2:C4448,157
C23.F82nd non-split extension by C23 of F8 acting via F8/C23=C75614C2^3.F8448,179
C23⋊D28The semidirect product of C23 and D28 acting via D28/C7=D4568+C2^3:D28448,275
D7×C23⋊C4Direct product of D7 and C23⋊C4568+D7xC2^3:C4448,277
D7×C4.D4Direct product of D7 and C4.D4568+D7xC4.D4448,278
D281D41st semidirect product of D28 and D4 acting via D4/C2=C22568+D28:1D4448,281
D7×C4≀C2Direct product of D7 and C4≀C2564D7xC4wrC2448,354
D44D283rd semidirect product of D4 and D28 acting via D28/D14=C2564+D4:4D28448,356
C24⋊D141st semidirect product of C24 and D14 acting via D14/C7=C22564C2^4:D14448,566
D285D45th semidirect product of D28 and D4 acting via D4/C2=C22564D28:5D4448,611
D2818D46th semidirect product of D28 and D4 acting via D4/C22=C2568+D28:18D4448,732
2+ 1+4⋊D71st semidirect product of 2+ 1+4 and D7 acting via D7/C7=C2568+ES+(2,2):D7448,775
2+ 1+42D72nd semidirect product of 2+ 1+4 and D7 acting via D7/C7=C2568+ES+(2,2):2D7448,778
C7×D44D4Direct product of C7 and D44D4564C7xD4:4D4448,861
C7×C2≀C22Direct product of C7 and C2≀C22564C7xC2wrC2^2448,865
C8×F8Direct product of C8 and F8567C8xF8448,919
D7×C22≀C2Direct product of D7 and C22≀C256D7xC2^2wrC2448,1041
D7×C8⋊C22Direct product of D7 and C8⋊C22568+D7xC8:C2^2448,1225
C2×C4×F8Direct product of C2×C4 and F856C2xC4xF8448,1362
Q8×F8Direct product of Q8 and F85614-Q8xF8448,1364
D7×2+ 1+4Direct product of D7 and 2+ 1+4568+D7xES+(2,2)448,1379
C23×F8Direct product of C23 and F856C2^3xF8448,1392

On 57 points

Groups of order 57

dρLabelID
C57Cyclic group571C5757,2

Groups of order 114

dρLabelID
S3×C19Direct product of C19 and S3572S3xC19114,3
C3×D19Direct product of C3 and D19572C3xD19114,4
D57Dihedral group572+D57114,5

Groups of order 171

dρLabelID
C3×C19⋊C3Direct product of C3 and C19⋊C3573C3xC19:C3171,4

Groups of order 228

dρLabelID
S3×D19Direct product of S3 and D19574+S3xD19228,8

Groups of order 342

dρLabelID
C3×C19⋊C6Direct product of C3 and C19⋊C6576C3xC19:C6342,9
S3×C19⋊C3Direct product of S3 and C19⋊C3576S3xC19:C3342,10
D57⋊C3The semidirect product of D57 and C3 acting faithfully576+D57:C3342,11

On 58 points

Groups of order 58

dρLabelID
C58Cyclic group581C5858,2

Groups of order 116

dρLabelID
D58Dihedral group; = C2×D29582+D58116,4

Groups of order 232

dρLabelID
C2×C29⋊C4Direct product of C2 and C29⋊C4584+C2xC29:C4232,12

Groups of order 406

dρLabelID
C2×C29⋊C7Direct product of C2 and C29⋊C7587C2xC29:C7406,2

On 59 points

Groups of order 59

dρLabelID
C59Cyclic group591C5959,1

Groups of order 118

dρLabelID
D59Dihedral group592+D59118,1

On 60 points

Groups of order 60

dρLabelID
C5×Dic3Direct product of C5 and Dic3602C5xDic360,1
C3×Dic5Direct product of C3 and Dic5602C3xDic560,2
Dic15Dicyclic group; = C3Dic5602-Dic1560,3
C60Cyclic group601C6060,4
C2×C30Abelian group of type [2,30]60C2xC3060,13

Groups of order 120

dρLabelID
D5×Dic3Direct product of D5 and Dic3604-D5xDic3120,8
S3×Dic5Direct product of S3 and Dic5604-S3xDic5120,9
D30.C2The non-split extension by D30 of C2 acting faithfully604+D30.C2120,10
C15⋊D41st semidirect product of C15 and D4 acting via D4/C2=C22604-C15:D4120,11
C3⋊D20The semidirect product of C3 and D20 acting via D20/D10=C2604+C3:D20120,12
C5⋊D12The semidirect product of C5 and D12 acting via D12/D6=C2604+C5:D12120,13
D5×C12Direct product of C12 and D5602D5xC12120,17
C3×D20Direct product of C3 and D20602C3xD20120,18
C3×C5⋊D4Direct product of C3 and C5⋊D4602C3xC5:D4120,20
S3×C20Direct product of C20 and S3602S3xC20120,22
C5×D12Direct product of C5 and D12602C5xD12120,23
C5×C3⋊D4Direct product of C5 and C3⋊D4602C5xC3:D4120,25
C4×D15Direct product of C4 and D15602C4xD15120,27
D60Dihedral group602+D60120,28
C157D41st semidirect product of C15 and D4 acting via D4/C22=C2602C15:7D4120,30
D4×C15Direct product of C15 and D4602D4xC15120,32
D5×C2×C6Direct product of C2×C6 and D560D5xC2xC6120,44
S3×C2×C10Direct product of C2×C10 and S360S3xC2xC10120,45
C22×D15Direct product of C22 and D1560C2^2xD15120,46

Groups of order 180

dρLabelID
Dic3×C15Direct product of C15 and Dic3602Dic3xC15180,14
C3×Dic15Direct product of C3 and Dic15602C3xDic15180,15
A4×C15Direct product of C15 and A4603A4xC15180,31
S3×C30Direct product of C30 and S3602S3xC30180,33
C6×D15Direct product of C6 and D15602C6xD15180,34

Groups of order 240

dρLabelID
C5×C42⋊C3Direct product of C5 and C42⋊C3603C5xC4^2:C3240,32
Dic3×F5Direct product of Dic3 and F5608-Dic3xF5240,95
D6⋊F5The semidirect product of D6 and F5 acting via F5/D5=C2608+D6:F5240,96
Dic3⋊F5The semidirect product of Dic3 and F5 acting via F5/D5=C2608-Dic3:F5240,97
C5×A4⋊C4Direct product of C5 and A4⋊C4603C5xA4:C4240,104
A4⋊Dic5The semidirect product of A4 and Dic5 acting via Dic5/C10=C2606-A4:Dic5240,107
A4×Dic5Direct product of A4 and Dic5606-A4xDic5240,110
C12×F5Direct product of C12 and F5604C12xF5240,113
C3×C4⋊F5Direct product of C3 and C4⋊F5604C3xC4:F5240,114
C3×C22⋊F5Direct product of C3 and C22⋊F5604C3xC2^2:F5240,117
C4×C3⋊F5Direct product of C4 and C3⋊F5604C4xC3:F5240,120
C60⋊C41st semidirect product of C60 and C4 acting faithfully604C60:C4240,121
D10.D66th non-split extension by D10 of D6 acting via D6/C6=C2604D10.D6240,124
C4×S3×D5Direct product of C4, S3 and D5604C4xS3xD5240,135
D5×D12Direct product of D5 and D12604+D5xD12240,136
S3×D20Direct product of S3 and D20604+S3xD20240,137
C20⋊D62nd semidirect product of C20 and D6 acting via D6/C3=C22604C20:D6240,138
D5×C3⋊D4Direct product of D5 and C3⋊D4604D5xC3:D4240,149
S3×C5⋊D4Direct product of S3 and C5⋊D4604S3xC5:D4240,150
D10⋊D64th semidirect product of D10 and D6 acting via D6/S3=C2604+D10:D6240,151
A4×C20Direct product of C20 and A4603A4xC20240,152
C3×D4×D5Direct product of C3, D4 and D5604C3xD4xD5240,159
C5×S3×D4Direct product of C5, S3 and D4604C5xS3xD4240,169
D4×D15Direct product of D4 and D15604+D4xD15240,179
C2×C6×F5Direct product of C2×C6 and F560C2xC6xF5240,200
C22×C3⋊F5Direct product of C22 and C3⋊F560C2^2xC3:F5240,201
C22×S3×D5Direct product of C22, S3 and D560C2^2xS3xD5240,202
A4×C2×C10Direct product of C2×C10 and A460A4xC2xC10240,203
C5×C22⋊A4Direct product of C5 and C22⋊A460C5xC2^2:A4240,204

Groups of order 300

dρLabelID
C522Dic3The semidirect product of C52 and Dic3 acting via Dic3/C2=S3603C5^2:2Dic3300,13
C522C12The semidirect product of C52 and C12 acting via C12/C2=C6606-C5^2:2C12300,14
C4×C52⋊C3Direct product of C4 and C52⋊C3603C4xC5^2:C3300,15
C15×Dic5Direct product of C15 and Dic5602C15xDic5300,16
C5×Dic15Direct product of C5 and Dic15602C5xDic15300,19
C15×F5Direct product of C15 and F5604C15xF5300,28
C3×D5.D5Direct product of C3 and D5.D5604C3xD5.D5300,29
C5×C3⋊F5Direct product of C5 and C3⋊F5604C5xC3:F5300,32
D5.D15The non-split extension by D5 of D15 acting via D15/C15=C2604D5.D15300,33
C22×C52⋊C3Direct product of C22 and C52⋊C360C2^2xC5^2:C3300,41
D5×C30Direct product of C30 and D5602D5xC30300,44
C10×D15Direct product of C10 and D15602C10xD15300,47

Groups of order 360

dρLabelID
C3×D5×Dic3Direct product of C3, D5 and Dic3604C3xD5xDic3360,58
C3×C15⋊D4Direct product of C3 and C15⋊D4604C3xC15:D4360,61
C3×C3⋊D20Direct product of C3 and C3⋊D20604C3xC3:D20360,62
C5×C6.D6Direct product of C5 and C6.D6604C5xC6.D6360,73
C5×C3⋊D12Direct product of C5 and C3⋊D12604C5xC3:D12360,75
C6.D303rd non-split extension by C6 of D30 acting via D30/D15=C2604+C6.D30360,79
C3⋊D60The semidirect product of C3 and D60 acting via D60/D30=C2604+C3:D60360,81
D62D152nd semidirect product of D6 and D15 acting via D15/C15=C2604+D6:2D15360,82
Dic15⋊S33rd semidirect product of Dic15 and S3 acting via S3/C3=C2604Dic15:S3360,85
D30⋊S33rd semidirect product of D30 and S3 acting via S3/C3=C2604D30:S3360,86
C15×C3⋊D4Direct product of C15 and C3⋊D4602C15xC3:D4360,99
C3×C157D4Direct product of C3 and C157D4602C3xC15:7D4360,104
C15×S4Direct product of C15 and S4603C15xS4360,138
C3×C5⋊S4Direct product of C3 and C5⋊S4606C3xC5:S4360,139
C5×C3⋊S4Direct product of C5 and C3⋊S4606C5xC3:S4360,140
A4⋊D15The semidirect product of A4 and D15 acting via D15/C15=C2606+A4:D15360,141
C3×D5×A4Direct product of C3, D5 and A4606C3xD5xA4360,142
C5×S3×A4Direct product of C5, S3 and A4606C5xS3xA4360,143
A4×D15Direct product of A4 and D15606+A4xD15360,144
C6×C3⋊F5Direct product of C6 and C3⋊F5604C6xC3:F5360,146
C10×C32⋊C4Direct product of C10 and C32⋊C4604C10xC3^2:C4360,148
C2×C32⋊Dic5Direct product of C2 and C32⋊Dic5604C2xC3^2:Dic5360,149
C2×C32⋊F5Direct product of C2 and C32⋊F5604+C2xC3^2:F5360,150
S3×C6×D5Direct product of C6, S3 and D5604S3xC6xD5360,151
S32×C10Direct product of C10, S3 and S3604S3^2xC10360,153
C2×S3×D15Direct product of C2, S3 and D15604+C2xS3xD15360,154
C2×D15⋊S3Direct product of C2 and D15⋊S3604C2xD15:S3360,155

Groups of order 480

dρLabelID
C5×C23.3A4Direct product of C5 and C23.3A4606C5xC2^3.3A4480,74
C5×C42⋊S3Direct product of C5 and C42⋊S3603C5xC4^2:S3480,254
C42⋊D15The semidirect product of C42 and D15 acting via D15/C5=S3606+C4^2:D15480,258
C204D4⋊C3The semidirect product of C204D4 and C3 acting faithfully606+C20:4D4:C3480,262
D5×C42⋊C3Direct product of D5 and C42⋊C3606D5xC4^2:C3480,264
C10×C42⋊C3Direct product of C10 and C42⋊C3603C10xC4^2:C3480,654
C5×C23.A4Direct product of C5 and C23.A4606C5xC2^3.A4480,658
Dic5×S4Direct product of Dic5 and S4606-Dic5xS4480,976
Dic52S4The semidirect product of Dic5 and S4 acting through Inn(Dic5)606Dic5:2S4480,977
Dic5⋊S4The semidirect product of Dic5 and S4 acting via S4/A4=C2606Dic5:S4480,978
D5×A4⋊C4Direct product of D5 and A4⋊C4606D5xA4:C4480,979
D10⋊S41st semidirect product of D10 and S4 acting via S4/A4=C2606D10:S4480,980
A4⋊D20The semidirect product of A4 and D20 acting via D20/D10=C2606+A4:D20480,981
C4×S3×F5Direct product of C4, S3 and F5608C4xS3xF5480,994
F5×D12Direct product of F5 and D12608+F5xD12480,995
S3×C4⋊F5Direct product of S3 and C4⋊F5608S3xC4:F5480,996
D603C43rd semidirect product of D60 and C4 acting faithfully608+D60:3C4480,997
F5×C3⋊D4Direct product of F5 and C3⋊D4608F5xC3:D4480,1010
S3×C22⋊F5Direct product of S3 and C22⋊F5608+S3xC2^2:F5480,1011
C3⋊D4⋊F5The semidirect product of C3⋊D4 and F5 acting via F5/D5=C2608C3:D4:F5480,1012
C20×S4Direct product of C20 and S4603C20xS4480,1014
C5×C4⋊S4Direct product of C5 and C4⋊S4606C5xC4:S4480,1015
C5×A4⋊D4Direct product of C5 and A4⋊D4606C5xA4:D4480,1023
C4×C5⋊S4Direct product of C4 and C5⋊S4606C4xC5:S4480,1025
C20⋊S41st semidirect product of C20 and S4 acting via S4/A4=C2606+C20:S4480,1026
C242D151st semidirect product of C24 and D15 acting via D15/C5=S3606C2^4:2D15480,1034
C4×D5×A4Direct product of C4, D5 and A4606C4xD5xA4480,1036
A4×D20Direct product of A4 and D20606+A4xD20480,1037
A4×C5⋊D4Direct product of A4 and C5⋊D4606A4xC5:D4480,1045
C3×D4×F5Direct product of C3, D4 and F5608C3xD4xF5480,1054
D4×C3⋊F5Direct product of D4 and C3⋊F5608D4xC3:F5480,1067
S3×D4×D5Direct product of S3, D4 and D5608+S3xD4xD5480,1097
C5×D4×A4Direct product of C5, D4 and A4606C5xD4xA4480,1127
C22×S3×F5Direct product of C22, S3 and F560C2^2xS3xF5480,1197
C2×C10×S4Direct product of C2×C10 and S460C2xC10xS4480,1198
C22×C5⋊S4Direct product of C22 and C5⋊S460C2^2xC5:S4480,1199
C22×D5×A4Direct product of C22, D5 and A460C2^2xD5xA4480,1202
D5×C22⋊A4Direct product of D5 and C22⋊A460D5xC2^2:A4480,1203
C10×C22⋊A4Direct product of C10 and C22⋊A460C10xC2^2:A4480,1209

On 61 points

Groups of order 61

dρLabelID
C61Cyclic group611C6161,1

Groups of order 122

dρLabelID
D61Dihedral group612+D61122,1

Groups of order 183

dρLabelID
C61⋊C3The semidirect product of C61 and C3 acting faithfully613C61:C3183,1

Groups of order 244

dρLabelID
C61⋊C4The semidirect product of C61 and C4 acting faithfully614+C61:C4244,3

Groups of order 305

dρLabelID
C61⋊C5The semidirect product of C61 and C5 acting faithfully615C61:C5305,1

Groups of order 366

dρLabelID
C61⋊C6The semidirect product of C61 and C6 acting faithfully616+C61:C6366,1

On 62 points

Groups of order 62

dρLabelID
C62Cyclic group621C6262,2

Groups of order 124

dρLabelID
D62Dihedral group; = C2×D31622+D62124,3

Groups of order 186

dρLabelID
C2×C31⋊C3Direct product of C2 and C31⋊C3623C2xC31:C3186,2

Groups of order 310

dρLabelID
C2×C31⋊C5Direct product of C2 and C31⋊C5625C2xC31:C5310,2

Groups of order 372

dρLabelID
C2×C31⋊C6Direct product of C2 and C31⋊C6626+C2xC31:C6372,7

On 63 points

Groups of order 63

dρLabelID
C7⋊C9The semidirect product of C7 and C9 acting via C9/C3=C3633C7:C963,1
C63Cyclic group631C6363,2
C3×C21Abelian group of type [3,21]63C3xC2163,4

Groups of order 126

dρLabelID
C7⋊C18The semidirect product of C7 and C18 acting via C18/C3=C6636C7:C18126,1
C7×D9Direct product of C7 and D9632C7xD9126,3
C9×D7Direct product of C9 and D7632C9xD7126,4
D63Dihedral group632+D63126,5
C32×D7Direct product of C32 and D763C3^2xD7126,11
C7×C3⋊S3Direct product of C7 and C3⋊S363C7xC3:S3126,14
C3⋊D21The semidirect product of C3 and D21 acting via D21/C21=C263C3:D21126,15

Groups of order 189

dρLabelID
C9×C7⋊C3Direct product of C9 and C7⋊C3633C9xC7:C3189,3
C63⋊C32nd semidirect product of C63 and C3 acting faithfully633C63:C3189,4
C633C33rd semidirect product of C63 and C3 acting faithfully633C63:3C3189,5
C21.C325th non-split extension by C21 of C32 acting via C32/C3=C3633C21.C3^2189,7
C7⋊He3The semidirect product of C7 and He3 acting via He3/C32=C3633C7:He3189,8
C7×He3Direct product of C7 and He3633C7xHe3189,10
C7×3- 1+2Direct product of C7 and 3- 1+2633C7xES-(3,1)189,11
C32×C7⋊C3Direct product of C32 and C7⋊C363C3^2xC7:C3189,12

Groups of order 252

dρLabelID
D7×D9Direct product of D7 and D9634+D7xD9252,8
D7×C3⋊S3Direct product of D7 and C3⋊S363D7xC3:S3252,34

Groups of order 378

dρLabelID
C9×F7Direct product of C9 and F7636C9xF7378,7
C93F71st semidirect product of C9 and F7 acting via F7/D7=C3636C9:3F7378,8
C94F72nd semidirect product of C9 and F7 acting via F7/D7=C3636C9:4F7378,9
C32.F7The non-split extension by C32 of F7 acting via F7/D7=C3636C3^2.F7378,11
D7⋊He3The semidirect product of D7 and He3 acting via He3/C32=C3636D7:He3378,12
C63⋊C65th semidirect product of C63 and C6 acting faithfully636C63:C6378,13
C636C66th semidirect product of C63 and C6 acting faithfully636C63:6C6378,14
D9×C7⋊C3Direct product of D9 and C7⋊C3636D9xC7:C3378,15
C7⋊He3⋊C23rd semidirect product of C7⋊He3 and C2 acting faithfully636C7:He3:C2378,17
C9⋊F71st semidirect product of C9 and F7 acting via F7/C7=C6636+C9:F7378,18
C92F72nd semidirect product of C9 and F7 acting via F7/C7=C6636+C9:2F7378,19
C95F7The semidirect product of C9 and F7 acting via F7/C7⋊C3=C2636+C9:5F7378,20
C32⋊F7The semidirect product of C32 and F7 acting via F7/C7=C6636+C3^2:F7378,22
D7×He3Direct product of D7 and He3636D7xHe3378,30
D7×3- 1+2Direct product of D7 and 3- 1+2636D7xES-(3,1)378,31
C7×C32⋊C6Direct product of C7 and C32⋊C6636C7xC3^2:C6378,34
C7×C9⋊C6Direct product of C7 and C9⋊C6636C7xC9:C6378,35
He3⋊D71st semidirect product of He3 and D7 acting via D7/C7=C2636+He3:D7378,38
D63⋊C31st semidirect product of D63 and C3 acting faithfully636+D63:C3378,39
C7×He3⋊C2Direct product of C7 and He3⋊C2633C7xHe3:C2378,41
C32⋊D212nd semidirect product of C32 and D21 acting via D21/C7=S3636C3^2:D21378,43
C32×F7Direct product of C32 and F763C3^2xF7378,47
C3⋊S3×C7⋊C3Direct product of C3⋊S3 and C7⋊C363C3:S3xC7:C3378,50
C324F72nd semidirect product of C32 and F7 acting via F7/C7⋊C3=C263C3^2:4F7378,51

Groups of order 441

dρLabelID
C7×C7⋊C9Direct product of C7 and C7⋊C9633C7xC7:C9441,5
C723C93rd semidirect product of C72 and C9 acting via C9/C3=C3633C7^2:3C9441,7
C7⋊C3×C21Direct product of C21 and C7⋊C3633C7:C3xC21441,10
C3×C723C3Direct product of C3 and C723C3633C3xC7^2:3C3441,12

On 64 points

Groups of order 64

dρLabelID
C64Cyclic group641C6464,1
C82Abelian group of type [8,8]64C8^264,2
C8⋊C83rd semidirect product of C8 and C8 acting via C8/C4=C264C8:C864,3
Q8⋊C8The semidirect product of Q8 and C8 acting via C8/C4=C264Q8:C864,7
C42.2C222nd non-split extension by C42 of C22 acting faithfully64C4^2.2C2^264,11
C4.10D82nd non-split extension by C4 of D8 acting via D8/D4=C264C4.10D864,13
C4.6Q162nd non-split extension by C4 of Q16 acting via Q16/Q8=C264C4.6Q1664,14
C82C82nd semidirect product of C8 and C8 acting via C8/C4=C264C8:2C864,15
C81C81st semidirect product of C8 and C8 acting via C8/C4=C264C8:1C864,16
C22.7C422nd central extension by C22 of C4264C2^2.7C4^264,17
C22.4Q161st central extension by C22 of Q1664C2^2.4Q1664,21
C4×C16Abelian group of type [4,16]64C4xC1664,26
C165C43rd semidirect product of C16 and C4 acting via C4/C2=C264C16:5C464,27
C2.Q321st central extension by C2 of Q3264C2.Q3264,39
C4⋊C16The semidirect product of C4 and C16 acting via C16/C8=C264C4:C1664,44
C163C41st semidirect product of C16 and C4 acting via C4/C2=C264C16:3C464,47
C164C42nd semidirect product of C16 and C4 acting via C4/C2=C264C16:4C464,48
C2×C32Abelian group of type [2,32]64C2xC3264,50
Q64Generalised quaternion group; = C32.C2 = Dic16642-Q6464,54
C43Abelian group of type [4,4,4]64C4^364,55
C2×C2.C42Direct product of C2 and C2.C4264C2xC2.C4^264,56
C424C41st semidirect product of C42 and C4 acting via C4/C2=C264C4^2:4C464,57
C4×C4⋊C4Direct product of C4 and C4⋊C464C4xC4:C464,59
C428C45th semidirect product of C42 and C4 acting via C4/C2=C264C4^2:8C464,63
C425C42nd semidirect product of C42 and C4 acting via C4/C2=C264C4^2:5C464,64
C429C46th semidirect product of C42 and C4 acting via C4/C2=C264C4^2:9C464,65
C23.63C2313rd central extension by C23 of C2364C2^3.63C2^364,68
C23.65C2315th central extension by C23 of C2364C2^3.65C2^364,70
C23.67C2317th central extension by C23 of C2364C2^3.67C2^364,72
C23.78C234th central stem extension by C23 of C2364C2^3.78C2^364,76
C23.81C237th central stem extension by C23 of C2364C2^3.81C2^364,79
C23.83C239th central stem extension by C23 of C2364C2^3.83C2^364,81
C23.84C2310th central stem extension by C23 of C2364C2^3.84C2^364,82
C2×C4×C8Abelian group of type [2,4,8]64C2xC4xC864,83
C2×C8⋊C4Direct product of C2 and C8⋊C464C2xC8:C464,84
C2×Q8⋊C4Direct product of C2 and Q8⋊C464C2xQ8:C464,96
C2×C4⋊C8Direct product of C2 and C4⋊C864C2xC4:C864,103
C2×C4.Q8Direct product of C2 and C4.Q864C2xC4.Q864,106
C2×C2.D8Direct product of C2 and C2.D864C2xC2.D864,107
C4×Q16Direct product of C4 and Q1664C4xQ1664,120
Q16⋊C43rd semidirect product of Q16 and C4 acting via C4/C2=C264Q16:C464,122
C8×Q8Direct product of C8 and Q864C8xQ864,126
C84Q83rd semidirect product of C8 and Q8 acting via Q8/C4=C264C8:4Q864,127
C42Q16The semidirect product of C4 and Q16 acting via Q16/Q8=C264C4:2Q1664,143
Q8⋊Q81st semidirect product of Q8 and Q8 acting via Q8/C4=C264Q8:Q864,156
C4.Q163rd non-split extension by C4 of Q16 acting via Q16/Q8=C264C4.Q1664,158
Q8.Q8The non-split extension by Q8 of Q8 acting via Q8/C4=C264Q8.Q864,160
C4.SD164th non-split extension by C4 of SD16 acting via SD16/C8=C264C4.SD1664,168
C42.30C2230th non-split extension by C42 of C22 acting faithfully64C4^2.30C2^264,172
C4⋊Q16The semidirect product of C4 and Q16 acting via Q16/C8=C264C4:Q1664,175
C83Q82nd semidirect product of C8 and Q8 acting via Q8/C4=C264C8:3Q864,179
C8.5Q84th non-split extension by C8 of Q8 acting via Q8/C4=C264C8.5Q864,180
C82Q81st semidirect product of C8 and Q8 acting via Q8/C4=C264C8:2Q864,181
C8⋊Q8The semidirect product of C8 and Q8 acting via Q8/C2=C2264C8:Q864,182
C22×C16Abelian group of type [2,2,16]64C2^2xC1664,183
C2×Q32Direct product of C2 and Q3264C2xQ3264,188
C22×C42Abelian group of type [2,2,4,4]64C2^2xC4^264,192
C22×C4⋊C4Direct product of C22 and C4⋊C464C2^2xC4:C464,194
C2×C4×Q8Direct product of C2×C4 and Q864C2xC4xQ864,197
C2×C42.C2Direct product of C2 and C42.C264C2xC4^2.C264,208
C2×C4⋊Q8Direct product of C2 and C4⋊Q864C2xC4:Q864,212
Q83Q8The semidirect product of Q8 and Q8 acting through Inn(Q8)64Q8:3Q864,238
Q82Direct product of Q8 and Q864Q8^264,239
C22.58C2444th central stem extension by C22 of C2464C2^2.58C2^464,245
C23×C8Abelian group of type [2,2,2,8]64C2^3xC864,246
C22×Q16Direct product of C22 and Q1664C2^2xQ1664,252
C24×C4Abelian group of type [2,2,2,2,4]64C2^4xC464,260
Q8×C23Direct product of C23 and Q864Q8xC2^364,262
C26Elementary abelian group of type [2,2,2,2,2,2]64C2^664,267

Groups of order 128

dρLabelID
(C2×C4).98D81st non-split extension by C2×C4 of D8 acting via D8/D4=C264(C2xC4).98D8128,2
C42.20D42nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.20D4128,7
M4(2)⋊C82nd semidirect product of M4(2) and C8 acting via C8/C4=C264M4(2):C8128,10
C23.19C421st non-split extension by C23 of C42 acting via C42/C2×C4=C264C2^3.19C4^2128,12
C42.2Q82nd non-split extension by C42 of Q8 acting via Q8/C2=C2264C4^2.2Q8128,13
C42.3Q83rd non-split extension by C42 of Q8 acting via Q8/C2=C2264C4^2.3Q8128,15
C42.23D45th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.23D4128,19
C42.25D47th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.25D4128,22
C42.26D48th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.26D4128,23
C42.27D49th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.27D4128,24
C42.388D421st non-split extension by C42 of D4 acting via D4/C22=C264C4^2.388D4128,31
C42.389D422nd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.389D4128,33
C42.370D43rd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.370D4128,34
C42.30D412nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.30D4128,39
C42.31D413rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.31D4128,40
C42.32D414th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.32D4128,41
C23.M4(2)2nd non-split extension by C23 of M4(2) acting via M4(2)/C4=C2264C2^3.M4(2)128,47
C22.M5(2)2nd non-split extension by C22 of M5(2) acting via M5(2)/C2×C8=C264C2^2.M5(2)128,54
C23.7M4(2)3rd non-split extension by C23 of M4(2) acting via M4(2)/C4=C2264C2^3.7M4(2)128,55
D4⋊C16The semidirect product of D4 and C16 acting via C16/C8=C264D4:C16128,61
C8.31D88th non-split extension by C8 of D8 acting via D8/D4=C264C8.31D8128,62
C4.16D161st central extension by C4 of D1664C4.16D16128,63
D8⋊C83rd semidirect product of D8 and C8 acting via C8/C4=C264D8:C8128,65
C23.12SD162nd non-split extension by C23 of SD16 acting via SD16/C4=C2264C2^3.12SD16128,81
C23.13SD163rd non-split extension by C23 of SD16 acting via SD16/C4=C2264C2^3.13SD16128,82
C8.30D87th non-split extension by C8 of D8 acting via D8/D4=C264C8.30D8128,92
C4.D161st non-split extension by C4 of D16 acting via D16/D8=C264C4.D16128,93
M5(2)⋊C45th semidirect product of M5(2) and C4 acting via C4/C2=C264M5(2):C4128,109
M5(2)⋊7C47th semidirect product of M5(2) and C4 acting via C4/C2=C264M5(2):7C4128,111
C8.8C422nd non-split extension by C8 of C42 acting via C42/C2×C4=C264C8.8C4^2128,113
C8.9C423rd non-split extension by C8 of C42 acting via C42/C2×C4=C264C8.9C4^2128,114
C8.2C422nd non-split extension by C8 of C42 acting via C42/C22=C2264C8.2C4^2128,119
C22⋊C32The semidirect product of C22 and C32 acting via C32/C16=C264C2^2:C32128,131
D4.C16The non-split extension by D4 of C16 acting via C16/C8=C2642D4.C16128,133
D162C41st semidirect product of D16 and C4 acting via C4/C2=C264D16:2C4128,147
D16.C41st non-split extension by D16 of C4 acting via C4/C2=C2642D16.C4128,149
C16.18D44th non-split extension by C16 of D4 acting via D4/C22=C2644-C16.18D4128,152
C32.C41st non-split extension by C32 of C4 acting via C4/C2=C2642C32.C4128,157
M7(2)Modular maximal-cyclic group; = C643C2642M7(2)128,160
D64Dihedral group642+D64128,161
SD128Semidihedral group; = C642C2 = QD128642SD128128,162
C24.17Q81st non-split extension by C24 of Q8 acting via Q8/C4=C264C2^4.17Q8128,165
C232C421st semidirect product of C23 and C42 acting via C42/C22=C2264C2^3:2C4^2128,169
C24.50D45th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.50D4128,170
C24.5Q84th non-split extension by C24 of Q8 acting via Q8/C2=C2264C2^4.5Q8128,171
C24.52D47th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.52D4128,172
C8×M4(2)Direct product of C8 and M4(2)64C8xM4(2)128,181
C82⋊C21st semidirect product of C82 and C2 acting faithfully64C8^2:C2128,182
C89M4(2)3rd semidirect product of C8 and M4(2) acting via M4(2)/C2×C4=C264C8:9M4(2)128,183
C23.27C429th non-split extension by C23 of C42 acting via C42/C2×C4=C264C2^3.27C4^2128,184
C8215C215th semidirect product of C82 and C2 acting faithfully64C8^2:15C2128,185
C822C22nd semidirect product of C82 and C2 acting faithfully64C8^2:2C2128,186
C86M4(2)3rd semidirect product of C8 and M4(2) acting via M4(2)/C8=C264C8:6M4(2)128,187
C2×C22.M4(2)Direct product of C2 and C22.M4(2)64C2xC2^2.M4(2)128,189
C42.394D427th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.394D4128,193
C42.44D426th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.44D4128,199
C42.396D429th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.396D4128,202
C2×D4⋊C8Direct product of C2 and D4⋊C864C2xD4:C8128,206
C42.455D44th central extension by C42 of D464C4^2.455D4128,208
C42.397D430th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.397D4128,209
C42.399D432nd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.399D4128,211
C42.45D427th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.45D4128,212
C42.46D428th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.46D4128,213
C42.373D46th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.373D4128,214
C42.47D429th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.47D4128,215
C42.400D433rd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.400D4128,216
C42.401D434th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.401D4128,217
Q8⋊M4(2)1st semidirect product of Q8 and M4(2) acting via M4(2)/C2×C4=C264Q8:M4(2)128,219
C42.374D47th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.374D4128,220
D44M4(2)2nd semidirect product of D4 and M4(2) acting via M4(2)/C2×C4=C264D4:4M4(2)128,221
Q85M4(2)3rd semidirect product of Q8 and M4(2) acting via M4(2)/C2×C4=C264Q8:5M4(2)128,223
C42.315D411st non-split extension by C42 of D4 acting via D4/C4=C264C4^2.315D4128,224
C42.316D412nd non-split extension by C42 of D4 acting via D4/C4=C264C4^2.316D4128,225
C42.305D41st non-split extension by C42 of D4 acting via D4/C4=C264C4^2.305D4128,226
C42.52D434th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.52D4128,227
C42.53D435th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.53D4128,228
C42.54D436th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.54D4128,229
C2×C42.C22Direct product of C2 and C42.C2264C2xC4^2.C2^2128,254
C42.66D448th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.66D4128,256
C42.405D438th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.405D4128,257
C42.406D439th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.406D4128,258
C42.408D441st non-split extension by C42 of D4 acting via D4/C22=C264C4^2.408D4128,260
C42.376D49th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.376D4128,261
C42.67D449th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.67D4128,262
C42.68D450th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.68D4128,263
C42.69D451st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.69D4128,264
C42.71D453rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.71D4128,266
C42.72D454th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.72D4128,267
C42.73D455th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.73D4128,268
C42.74D456th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.74D4128,269
C2×C4.D8Direct product of C2 and C4.D864C2xC4.D8128,270
C42.409D442nd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.409D4128,272
C42.410D443rd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.410D4128,274
C42.411D444th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.411D4128,275
C42.412D445th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.412D4128,276
C42.414D447th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.414D4128,278
C42.78D460th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.78D4128,279
C42.415D448th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.415D4128,280
C42.416D449th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.416D4128,281
C42.79D461st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.79D4128,282
C42.80D462nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.80D4128,283
C42.81D463rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.81D4128,284
C42.417D450th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.417D4128,285
C42.418D451st non-split extension by C42 of D4 acting via D4/C22=C264C4^2.418D4128,286
C42.83D465th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.83D4128,288
C42.84D466th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.84D4128,289
C42.85D467th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.85D4128,290
C42.86D468th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.86D4128,291
C42.87D469th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.87D4128,292
C42.88D470th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.88D4128,293
C42.42Q82nd non-split extension by C42 of Q8 acting via Q8/C4=C264C4^2.42Q8128,296
M4(2)⋊1C81st semidirect product of M4(2) and C8 acting via C8/C4=C264M4(2):1C8128,297
C88M4(2)2nd semidirect product of C8 and M4(2) acting via M4(2)/C2×C4=C264C8:8M4(2)128,298
C87M4(2)1st semidirect product of C8 and M4(2) acting via M4(2)/C2×C4=C264C8:7M4(2)128,299
C42.43Q83rd non-split extension by C42 of Q8 acting via Q8/C4=C264C4^2.43Q8128,300
C81M4(2)1st semidirect product of C8 and M4(2) acting via M4(2)/C4=C2264C8:1M4(2)128,301
C42.90D472nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.90D4128,302
C42.91D473rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.91D4128,303
C42.Q819th non-split extension by C42 of Q8 acting via Q8/C2=C2264C4^2.Q8128,304
C42.92D474th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.92D4128,305
C42.21Q821st non-split extension by C42 of Q8 acting via Q8/C2=C2264C4^2.21Q8128,306
C8×D8Direct product of C8 and D864C8xD8128,307
C8×SD16Direct product of C8 and SD1664C8xSD16128,308
SD16⋊C8The semidirect product of SD16 and C8 acting via C8/C4=C264SD16:C8128,310
D85C85th semidirect product of D8 and C8 acting via C8/C4=C264D8:5C8128,312
C89D83rd semidirect product of C8 and D8 acting via D8/D4=C264C8:9D8128,313
C812SD163rd semidirect product of C8 and SD16 acting via SD16/D4=C264C8:12SD16128,314
C815SD163rd semidirect product of C8 and SD16 acting via SD16/Q8=C264C8:15SD16128,315
D4.M4(2)2nd non-split extension by D4 of M4(2) acting via M4(2)/C8=C264D4.M4(2)128,317
D42M4(2)2nd semidirect product of D4 and M4(2) acting via M4(2)/C8=C264D4:2M4(2)128,318
Q82M4(2)2nd semidirect product of Q8 and M4(2) acting via M4(2)/C8=C264Q8:2M4(2)128,320
C86D83rd semidirect product of C8 and D8 acting via D8/C8=C264C8:6D8128,321
C89SD163rd semidirect product of C8 and SD16 acting via SD16/C8=C264C8:9SD16128,322
C8⋊M4(2)2nd semidirect product of C8 and M4(2) acting via M4(2)/C4=C2264C8:M4(2)128,324
C83M4(2)3rd semidirect product of C8 and M4(2) acting via M4(2)/C4=C2264C8:3M4(2)128,326
C42.181C2342nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.181C2^3128,352
Q8⋊D81st semidirect product of Q8 and D8 acting via D8/D4=C264Q8:D8128,353
D4⋊SD161st semidirect product of D4 and SD16 acting via SD16/Q8=C264D4:SD16128,354
Q8⋊SD161st semidirect product of Q8 and SD16 acting via SD16/Q8=C264Q8:SD16128,355
C42.185C2346th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.185C2^3128,356
D43D82nd semidirect product of D4 and D8 acting via D8/D4=C264D4:3D8128,357
Q86SD162nd semidirect product of Q8 and SD16 acting via SD16/Q8=C264Q8:6SD16128,358
Q83D82nd semidirect product of Q8 and D8 acting via D8/D4=C264Q8:3D8128,359
C42.189C2350th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.189C2^3128,360
C42.191C2352nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.191C2^3128,362
Q82SD161st semidirect product of Q8 and SD16 acting via SD16/D4=C264Q8:2SD16128,363
D4⋊Q161st semidirect product of D4 and Q16 acting via Q16/Q8=C264D4:Q16128,364
C42.195C2356th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.195C2^3128,366
D4.SD16The non-split extension by D4 of SD16 acting via SD16/D4=C264D4.SD16128,367
D4.3Q16The non-split extension by D4 of Q16 acting via Q16/Q8=C264D4.3Q16128,369
C42.199C2360th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.199C2^3128,370
C42.201C2362nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.201C2^3128,372
Q8.D81st non-split extension by Q8 of D8 acting via D8/D4=C264Q8.D8128,373
Q83SD162nd semidirect product of Q8 and SD16 acting via SD16/D4=C264Q8:3SD16128,374
D4.5SD161st non-split extension by D4 of SD16 acting via SD16/Q8=C264D4.5SD16128,375
D43Q162nd semidirect product of D4 and Q16 acting via Q16/Q8=C264D4:3Q16128,376
C42.207C2368th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.207C2^3128,378
D4.7D82nd non-split extension by D4 of D8 acting via D8/D4=C264D4.7D8128,379
D44Q163rd semidirect product of D4 and Q16 acting via Q16/Q8=C264D4:4Q16128,381
C42.211C2372nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.211C2^3128,382
Q84SD163rd semidirect product of Q8 and SD16 acting via SD16/D4=C264Q8:4SD16128,383
C42.213C2374th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.213C2^3128,384
D44SD163rd semidirect product of D4 and SD16 acting via SD16/D4=C264D4:4SD16128,386
C42.2C232nd non-split extension by C42 of C23 acting faithfully64C4^2.2C2^3128,388
C42.3C233rd non-split extension by C42 of C23 acting faithfully64C4^2.3C2^3128,389
C42.4C234th non-split extension by C42 of C23 acting faithfully64C4^2.4C2^3128,390
C42.6C236th non-split extension by C42 of C23 acting faithfully64C4^2.6C2^3128,392
C42.7C237th non-split extension by C42 of C23 acting faithfully64C4^2.7C2^3128,393
C42.8C238th non-split extension by C42 of C23 acting faithfully64C4^2.8C2^3128,394
C42.10C2310th non-split extension by C42 of C23 acting faithfully64C4^2.10C2^3128,396
C88D82nd semidirect product of C8 and D8 acting via D8/D4=C264C8:8D8128,397
C814SD162nd semidirect product of C8 and SD16 acting via SD16/Q8=C264C8:14SD16128,398
C87D81st semidirect product of C8 and D8 acting via D8/D4=C264C8:7D8128,399
C813SD161st semidirect product of C8 and SD16 acting via SD16/Q8=C264C8:13SD16128,400
C8.28D85th non-split extension by C8 of D8 acting via D8/D4=C264C8.28D8128,401
C811SD162nd semidirect product of C8 and SD16 acting via SD16/D4=C264C8:11SD16128,403
C810SD161st semidirect product of C8 and SD16 acting via SD16/D4=C264C8:10SD16128,405
D4.1Q161st non-split extension by D4 of Q16 acting via Q16/C8=C264D4.1Q16128,407
D4.2SD162nd non-split extension by D4 of SD16 acting via SD16/C8=C264D4.2SD16128,409
Q8.2SD162nd non-split extension by Q8 of SD16 acting via SD16/C8=C264Q8.2SD16128,410
D4.3SD163rd non-split extension by D4 of SD16 acting via SD16/C8=C264D4.3SD16128,411
D4.2D82nd non-split extension by D4 of D8 acting via D8/C8=C264D4.2D8128,413
Q8.2D82nd non-split extension by Q8 of D8 acting via D8/C8=C264Q8.2D8128,414
D4.Q162nd non-split extension by D4 of Q16 acting via Q16/C8=C264D4.Q16128,415
C8⋊D81st semidirect product of C8 and D8 acting via D8/C4=C2264C8:D8128,417
C8⋊SD161st semidirect product of C8 and SD16 acting via SD16/C4=C2264C8:SD16128,418
C82D82nd semidirect product of C8 and D8 acting via D8/C4=C2264C8:2D8128,419
C82SD162nd semidirect product of C8 and SD16 acting via SD16/C4=C2264C8:2SD16128,420
C8.D81st non-split extension by C8 of D8 acting via D8/C4=C2264C8.D8128,421
C83SD163rd semidirect product of C8 and SD16 acting via SD16/C4=C2264C8:3SD16128,423
C84SD164th semidirect product of C8 and SD16 acting via SD16/C4=C2264C8:4SD16128,425
C8.8SD168th non-split extension by C8 of SD16 acting via SD16/C4=C2264C8.8SD16128,427
C42.248C23109th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.248C2^3128,429
C42.249C23110th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.249C2^3128,430
C42.250C23111st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.250C2^3128,431
C42.252C23113rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.252C2^3128,433
C42.253C23114th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.253C2^3128,434
C42.254C23115th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.254C2^3128,435
C88SD162nd semidirect product of C8 and SD16 acting via SD16/C8=C264C8:8SD16128,437
C85D82nd semidirect product of C8 and D8 acting via D8/C8=C264C8:5D8128,438
C8212C212nd semidirect product of C82 and C2 acting faithfully64C8^2:12C2128,440
C825C25th semidirect product of C82 and C2 acting faithfully64C8^2:5C2128,441
C823C23rd semidirect product of C82 and C2 acting faithfully64C8^2:3C2128,443
C84D81st semidirect product of C8 and D8 acting via D8/C8=C264C8:4D8128,444
C85SD165th semidirect product of C8 and SD16 acting via SD16/C4=C2264C8:5SD16128,446
C86SD166th semidirect product of C8 and SD16 acting via SD16/C4=C2264C8:6SD16128,447
C42.664C2379th non-split extension by C42 of C23 acting via C23/C22=C264C4^2.664C2^3128,449
C42.666C2381st non-split extension by C42 of C23 acting via C23/C22=C264C4^2.666C2^3128,451
C42.667C2382nd non-split extension by C42 of C23 acting via C23/C22=C264C4^2.667C2^3128,452
C83D83rd semidirect product of C8 and D8 acting via D8/C4=C2264C8:3D8128,453
C8.2D82nd non-split extension by C8 of D8 acting via D8/C4=C2264C8.2D8128,454
C23.28C4210th non-split extension by C23 of C42 acting via C42/C2×C4=C264C2^3.28C4^2128,460
C23.29C4211st non-split extension by C23 of C42 acting via C42/C2×C4=C264C2^3.29C4^2128,461
C24.132D41st non-split extension by C24 of D4 acting via D4/C4=C264C2^4.132D4128,467
C24.152D47th non-split extension by C24 of D4 acting via D4/C22=C264C2^4.152D4128,468
C2×C4.C42Direct product of C2 and C4.C4264C2xC4.C4^2128,469
C2×C22.C42Direct product of C2 and C22.C4264C2xC2^2.C4^2128,473
C4×C22⋊C8Direct product of C4 and C22⋊C864C4xC2^2:C8128,480
C42.378D411st non-split extension by C42 of D4 acting via D4/C22=C264C4^2.378D4128,481
C42.379D412nd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.379D4128,482
C8×C22⋊C4Direct product of C8 and C22⋊C464C8xC2^2:C4128,483
C23.36C4218th non-split extension by C23 of C42 acting via C42/C2×C4=C264C2^3.36C4^2128,484
C23.17C4212nd non-split extension by C23 of C42 acting via C42/C22=C2264C2^3.17C4^2128,485
C4×C4.10D4Direct product of C4 and C4.10D464C4xC4.10D4128,488
C4×D4⋊C4Direct product of C4 and D4⋊C464C4xD4:C4128,492
D4⋊C423rd semidirect product of D4 and C42 acting via C42/C2×C4=C264D4:C4^2128,494
C4×C8.C4Direct product of C4 and C8.C464C4xC8.C4128,509
C8.6C426th non-split extension by C8 of C42 acting via C42/C22=C2264C8.6C4^2128,510
C24.51(C2×C4)16th non-split extension by C24 of C2×C4 acting via C2×C4/C2=C2264C2^4.51(C2xC4)128,512
C24.155D410th non-split extension by C24 of D4 acting via D4/C22=C264C2^4.155D4128,519
C24.65D420th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.65D4128,520
C42.425D458th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.425D4128,529
C42.95D477th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.95D4128,530
C42.97D479th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.97D4128,533
C42.98D480th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.98D4128,534
C42.100D482nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.100D4128,536
C24.133D42nd non-split extension by C24 of D4 acting via D4/C4=C264C2^4.133D4128,539
C23.22D81st non-split extension by C23 of D8 acting via D8/C8=C264C2^3.22D8128,540
C24.67D422nd non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.67D4128,541
C4○D4.4Q82nd non-split extension by C4○D4 of Q8 acting via Q8/C4=C264C4oD4.4Q8128,547
C4○D4.5Q83rd non-split extension by C4○D4 of Q8 acting via Q8/C4=C264C4oD4.5Q8128,548
C23.32M4(2)9th non-split extension by C23 of M4(2) acting via M4(2)/C2×C4=C264C2^3.32M4(2)128,549
C24.53(C2×C4)18th non-split extension by C24 of C2×C4 acting via C2×C4/C2=C2264C2^4.53(C2xC4)128,550
C23.36D87th non-split extension by C23 of D8 acting via D8/D4=C264C2^3.36D8128,555
C24.157D412nd non-split extension by C24 of D4 acting via D4/C22=C264C2^4.157D4128,556
C24.69D424th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.69D4128,557
C42.322D418th non-split extension by C42 of D4 acting via D4/C4=C264C4^2.322D4128,569
C42.104D486th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.104D4128,570
C42.324D420th non-split extension by C42 of D4 acting via D4/C4=C264C4^2.324D4128,580
C42.106D488th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.106D4128,581
C23.21M4(2)3rd non-split extension by C23 of M4(2) acting via M4(2)/C8=C264C2^3.21M4(2)128,582
(C2×C8).195D4163rd non-split extension by C2×C8 of D4 acting via D4/C2=C2264(C2xC8).195D4128,583
C23.37D88th non-split extension by C23 of D8 acting via D8/D4=C264C2^3.37D8128,584
C24.159D414th non-split extension by C24 of D4 acting via D4/C22=C264C2^4.159D4128,585
C24.71D426th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.71D4128,586
C2.(C4×D8)3rd central stem extension by C2 of C4×D864C2.(C4xD8)128,594
D4⋊(C4⋊C4)5th semidirect product of D4 and C4⋊C4 acting via C4⋊C4/C2×C4=C264D4:(C4:C4)128,596
C23.22M4(2)4th non-split extension by C23 of M4(2) acting via M4(2)/C8=C264C2^3.22M4(2)128,601
C232M4(2)1st semidirect product of C23 and M4(2) acting via M4(2)/C4=C2264C2^3:2M4(2)128,602
C24.160D415th non-split extension by C24 of D4 acting via D4/C22=C264C2^4.160D4128,604
C24.73D428th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.73D4128,605
C23.38D89th non-split extension by C23 of D8 acting via D8/D4=C264C2^3.38D8128,606
C24.74D429th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.74D4128,607
(C2×SD16)⋊14C410th semidirect product of C2×SD16 and C4 acting via C4/C2=C264(C2xSD16):14C4128,609
(C2×C4)⋊9D81st semidirect product of C2×C4 and D8 acting via D8/D4=C264(C2xC4):9D8128,611
(C2×SD16)⋊15C411st semidirect product of C2×SD16 and C4 acting via C4/C2=C264(C2xSD16):15C4128,612
C24.135D44th non-split extension by C24 of D4 acting via D4/C4=C264C2^4.135D4128,624
C23.23D82nd non-split extension by C23 of D8 acting via D8/C8=C264C2^3.23D8128,625
C24.75D430th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.75D4128,626
C24.76D431st non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.76D4128,627
M4(2).49D413rd non-split extension by M4(2) of D4 acting via D4/C22=C264M4(2).49D4128,640
C22⋊C44C83rd semidirect product of C22⋊C4 and C8 acting via C8/C4=C264C2^2:C4:4C8128,655
C23.9M4(2)5th non-split extension by C23 of M4(2) acting via M4(2)/C4=C2264C2^3.9M4(2)128,656
D4⋊C4⋊C44th semidirect product of D4⋊C4 and C4 acting via C4/C2=C264D4:C4:C4128,657
C4.67(C4×D4)18th non-split extension by C4 of C4×D4 acting via C4×D4/C22⋊C4=C264C4.67(C4xD4)128,658
C4.10D43C42nd semidirect product of C4.10D4 and C4 acting via C4/C2=C264C4.10D4:3C4128,662
C2.(C87D4)3rd central extension by C2 of C87D464C2.(C8:7D4)128,666
C2.(C82D4)3rd central extension by C2 of C82D464C2.(C8:2D4)128,668
C42.430D463rd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.430D4128,682
M4(2).5Q83rd non-split extension by M4(2) of Q8 acting via Q8/C4=C264M4(2).5Q8128,683
M4(2).6Q84th non-split extension by M4(2) of Q8 acting via Q8/C4=C264M4(2).6Q8128,684
C42.325D421st non-split extension by C42 of D4 acting via D4/C4=C264C4^2.325D4128,686
C42.109D491st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.109D4128,687
C42.432D465th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.432D4128,689
C42.433D466th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.433D4128,690
C42.110D492nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.110D4128,691
C42.112D494th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.112D4128,693
C42.114D496th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.114D4128,698
(C2×C4)⋊9SD161st semidirect product of C2×C4 and SD16 acting via SD16/C8=C264(C2xC4):9SD16128,700
(C2×C4)⋊6D81st semidirect product of C2×C4 and D8 acting via D8/C8=C264(C2xC4):6D8128,702
(C2×D8)⋊10C46th semidirect product of C2×D8 and C4 acting via C4/C2=C264(C2xD8):10C4128,704
C8⋊(C22⋊C4)3rd semidirect product of C8 and C22⋊C4 acting via C22⋊C4/C22=C2264C8:(C2^2:C4)128,705
M4(2).33D414th non-split extension by M4(2) of D4 acting via D4/C4=C264M4(2).33D4128,711
C42.118D4100th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.118D4128,714
C42.119D4101st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.119D4128,715
M4(2)⋊8Q86th semidirect product of M4(2) and Q8 acting via Q8/C4=C264M4(2):8Q8128,729
C42.128D4110th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.128D4128,730
C232D81st semidirect product of C23 and D8 acting via D8/C4=C2264C2^3:2D8128,731
C233SD161st semidirect product of C23 and SD16 acting via SD16/C4=C2264C2^3:3SD16128,732
C232Q161st semidirect product of C23 and Q16 acting via Q16/C4=C2264C2^3:2Q16128,733
(C2×C4)⋊2D81st semidirect product of C2×C4 and D8 acting via D8/C4=C2264(C2xC4):2D8128,743
(C22×D8).C23rd non-split extension by C22×D8 of C2 acting faithfully64(C2^2xD8).C2128,744
(C2×C4)⋊3SD161st semidirect product of C2×C4 and SD16 acting via SD16/C4=C2264(C2xC4):3SD16128,745
(C2×C8)⋊20D416th semidirect product of C2×C8 and D4 acting via D4/C2=C2264(C2xC8):20D4128,746
(C2×C8).41D49th non-split extension by C2×C8 of D4 acting via D4/C2=C2264(C2xC8).41D4128,747
M4(2).6D46th non-split extension by M4(2) of D4 acting via D4/C2=C2264M4(2).6D4128,752
(C2×D4)⋊Q81st semidirect product of C2×D4 and Q8 acting via Q8/C2=C2264(C2xD4):Q8128,755
C4⋊C4.84D439th non-split extension by C4⋊C4 of D4 acting via D4/C2=C2264C4:C4.84D4128,757
C24.83D438th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.83D4128,765
C24.84D439th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.84D4128,766
C24.85D440th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.85D4128,767
C24.86D441st non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.86D4128,768
C4⋊C47D44th semidirect product of C4⋊C4 and D4 acting via D4/C2=C2264C4:C4:7D4128,773
C4⋊C4.94D449th non-split extension by C4⋊C4 of D4 acting via D4/C2=C2264C4:C4.94D4128,774
C4⋊C4.98D453rd non-split extension by C4⋊C4 of D4 acting via D4/C2=C2264C4:C4.98D4128,779
M4(2).11D411st non-split extension by M4(2) of D4 acting via D4/C2=C2264M4(2).11D4128,784
(C2×C4)⋊3D82nd semidirect product of C2×C4 and D8 acting via D8/C4=C2264(C2xC4):3D8128,786
(C2×C4)⋊5SD163rd semidirect product of C2×C4 and SD16 acting via SD16/C4=C2264(C2xC4):5SD16128,787
M4(2).13D413rd non-split extension by M4(2) of D4 acting via D4/C2=C2264M4(2).13D4128,796
C4⋊C4.106D461st non-split extension by C4⋊C4 of D4 acting via D4/C2=C2264C4:C4.106D4128,797
(C2×C4).23D816th non-split extension by C2×C4 of D8 acting via D8/C4=C2264(C2xC4).23D8128,799
(C2×C4).24D817th non-split extension by C2×C4 of D8 acting via D8/C4=C2264(C2xC4).24D8128,803
C428C4⋊C28th semidirect product of C428C4 and C2 acting faithfully64C4^2:8C4:C2128,805
C23.12D85th non-split extension by C23 of D8 acting via D8/C4=C2264C2^3.12D8128,807
C24.88D443rd non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.88D4128,808
C24.89D444th non-split extension by C24 of D4 acting via D4/C2=C2264C2^4.89D4128,809
(C2×C8).55D423rd non-split extension by C2×C8 of D4 acting via D4/C2=C2264(C2xC8).55D4128,810
(C2×C8).165D4133rd non-split extension by C2×C8 of D4 acting via D4/C2=C2264(C2xC8).165D4128,811
M4(2).Q81st non-split extension by M4(2) of Q8 acting via Q8/C2=C2264M4(2).Q8128,821
M4(2).2Q82nd non-split extension by M4(2) of Q8 acting via Q8/C2=C2264M4(2).2Q8128,822
(C2×C8).168D4136th non-split extension by C2×C8 of D4 acting via D4/C2=C2264(C2xC8).168D4128,824
(C2×C4).27D820th non-split extension by C2×C4 of D8 acting via D8/C4=C2264(C2xC4).27D8128,825
(C2×C8).169D4137th non-split extension by C2×C8 of D4 acting via D4/C2=C2264(C2xC8).169D4128,826
C4×M5(2)Direct product of C4 and M5(2)64C4xM5(2)128,839
C162M5(2)Central product of C16 and M5(2)64C16o2M5(2)128,840
C2×C22⋊C16Direct product of C2 and C22⋊C1664C2xC2^2:C16128,843
(C2×D4).5C82nd non-split extension by C2×D4 of C8 acting via C8/C4=C264(C2xD4).5C8128,845
C2×D4.C8Direct product of C2 and D4.C864C2xD4.C8128,848
C2×C2.D16Direct product of C2 and C2.D1664C2xC2.D16128,868
C23.24D83rd non-split extension by C23 of D8 acting via D8/C8=C264C2^3.24D8128,870
C23.39D810th non-split extension by C23 of D8 acting via D8/D4=C264C2^3.39D8128,871
C23.41D812nd non-split extension by C23 of D8 acting via D8/D4=C264C2^3.41D8128,873
C2×D8.C4Direct product of C2 and D8.C464C2xD8.C4128,874
C2×C8.17D4Direct product of C2 and C8.17D464C2xC8.17D4128,879
C4⋊M5(2)The semidirect product of C4 and M5(2) acting via M5(2)/C2×C8=C264C4:M5(2)128,882
C4⋊C4.7C84th non-split extension by C4⋊C4 of C8 acting via C8/C4=C264C4:C4.7C8128,883
C23.25D84th non-split extension by C23 of D8 acting via D8/C8=C264C2^3.25D8128,890
M5(2)⋊1C41st semidirect product of M5(2) and C4 acting via C4/C2=C264M5(2):1C4128,891
C2×C8.4Q8Direct product of C2 and C8.4Q864C2xC8.4Q8128,892
C42.13C810th non-split extension by C42 of C8 acting via C8/C4=C264C4^2.13C8128,894
C42.6C83rd non-split extension by C42 of C8 acting via C8/C4=C264C4^2.6C8128,895
C8.12M4(2)7th non-split extension by C8 of M4(2) acting via M4(2)/C8=C264C8.12M4(2)128,896
D4×C16Direct product of C16 and D464D4xC16128,899
C169D43rd semidirect product of C16 and D4 acting via D4/C22=C264C16:9D4128,900
C166D43rd semidirect product of C16 and D4 acting via D4/C4=C264C16:6D4128,901
C4×D16Direct product of C4 and D1664C4xD16128,904
C4×SD32Direct product of C4 and SD3264C4xSD32128,905
SD323C41st semidirect product of SD32 and C4 acting via C4/C2=C264SD32:3C4128,907
D164C43rd semidirect product of D16 and C4 acting via C4/C2=C264D16:4C4128,909
Q167D41st semidirect product of Q16 and D4 acting via D4/C22=C264Q16:7D4128,917
D88D42nd semidirect product of D8 and D4 acting via D4/C22=C264D8:8D4128,918
Q16.8D41st non-split extension by Q16 of D4 acting via D4/C22=C264Q16.8D4128,920
D8.10D42nd non-split extension by D8 of D4 acting via D4/C22=C264D8.10D4128,921
D8.12D44th non-split extension by D8 of D4 acting via D4/C22=C2644-D8.12D4128,927
D82D41st semidirect product of D8 and D4 acting via D4/C4=C264D8:2D4128,938
Q162D41st semidirect product of Q16 and D4 acting via D4/C4=C264Q16:2D4128,939
D8.4D41st non-split extension by D8 of D4 acting via D4/C4=C264D8.4D4128,940
D8.5D42nd non-split extension by D8 of D4 acting via D4/C4=C264D8.5D4128,942
Q16.5D42nd non-split extension by Q16 of D4 acting via D4/C4=C264Q16.5D4128,943
C167D41st semidirect product of C16 and D4 acting via D4/C22=C264C16:7D4128,947
C16.19D45th non-split extension by C16 of D4 acting via D4/C22=C264C16.19D4128,948
C168D42nd semidirect product of C16 and D4 acting via D4/C22=C264C16:8D4128,949
C16⋊D41st semidirect product of C16 and D4 acting via D4/C2=C2264C16:D4128,950
C16.D41st non-split extension by C16 of D4 acting via D4/C2=C2264C16.D4128,951
C162D42nd semidirect product of C16 and D4 acting via D4/C2=C2264C16:2D4128,952
D4.4D84th non-split extension by D4 of D8 acting via D8/C8=C2644-D4.4D8128,954
D81Q81st semidirect product of D8 and Q8 acting via Q8/C4=C264D8:1Q8128,956
D8⋊Q82nd semidirect product of D8 and Q8 acting via Q8/C4=C264D8:Q8128,958
D8.Q81st non-split extension by D8 of Q8 acting via Q8/C4=C264D8.Q8128,960
C22.D163rd non-split extension by C22 of D16 acting via D16/D8=C264C2^2.D16128,964
C23.49D820th non-split extension by C23 of D8 acting via D8/D4=C264C2^3.49D8128,965
C23.19D812nd non-split extension by C23 of D8 acting via D8/C4=C2264C2^3.19D8128,966
C23.50D821st non-split extension by C23 of D8 acting via D8/D4=C264C2^3.50D8128,967
C23.51D822nd non-split extension by C23 of D8 acting via D8/D4=C264C2^3.51D8128,968
C23.20D813rd non-split extension by C23 of D8 acting via D8/C4=C2264C2^3.20D8128,969
C4.4D164th non-split extension by C4 of D16 acting via D16/C16=C264C4.4D16128,972
C8.22SD168th non-split extension by C8 of SD16 acting via SD16/C8=C264C8.22SD16128,974
C8.12SD1612nd non-split extension by C8 of SD16 acting via SD16/C4=C2264C8.12SD16128,975
C8.13SD1613rd non-split extension by C8 of SD16 acting via SD16/C4=C2264C8.13SD16128,976
C4⋊D16The semidirect product of C4 and D16 acting via D16/C16=C264C4:D16128,978
C165D42nd semidirect product of C16 and D4 acting via D4/C4=C264C16:5D4128,980
C8.21D812nd non-split extension by C8 of D8 acting via D8/C8=C264C8.21D8128,981
C163D43rd semidirect product of C16 and D4 acting via D4/C2=C2264C16:3D4128,982
C8.7D87th non-split extension by C8 of D8 acting via D8/C4=C2264C8.7D8128,983
C2×M6(2)Direct product of C2 and M6(2)64C2xM6(2)128,989
D4○C32Central product of D4 and C32642D4oC32128,990
C2×D32Direct product of C2 and D3264C2xD32128,991
C2×SD64Direct product of C2 and SD6464C2xSD64128,992
C4○D32Central product of C4 and D32642C4oD32128,994
Q64⋊C22nd semidirect product of Q64 and C2 acting faithfully644-Q64:C2128,996
C2×C4×C22⋊C4Direct product of C2×C4 and C22⋊C464C2xC4xC2^2:C4128,1000
C4×C42⋊C2Direct product of C4 and C42⋊C264C4xC4^2:C2128,1002
D4×C42Direct product of C42 and D464D4xC4^2128,1003
C24.524C235th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.524C2^3128,1006
D44C42The semidirect product of D4 and C42 acting through Inn(D4)64D4:4C4^2128,1007
C2×C23.7Q8Direct product of C2 and C23.7Q864C2xC2^3.7Q8128,1010
C2×C23.34D4Direct product of C2 and C23.34D464C2xC2^3.34D4128,1011
C23.165C2418th central extension by C23 of C2464C2^3.165C2^4128,1015
C23.167C2420th central extension by C23 of C2464C2^3.167C2^4128,1017
C2×C23.8Q8Direct product of C2 and C23.8Q864C2xC2^3.8Q8128,1018
C2×C23.23D4Direct product of C2 and C23.23D464C2xC2^3.23D4128,1019
C2×C24.C22Direct product of C2 and C24.C2264C2xC2^4.C2^2128,1021
C4242D41st semidirect product of C42 and D4 acting via D4/C22=C264C4^2:42D4128,1022
C2×C24.3C22Direct product of C2 and C24.3C2264C2xC2^4.3C2^2128,1024
C439C29th semidirect product of C43 and C2 acting faithfully64C4^3:9C2128,1025
C23.178C2431st central extension by C23 of C2464C2^3.178C2^4128,1028
C23.179C2432nd central extension by C23 of C2464C2^3.179C2^4128,1029
C432C22nd semidirect product of C43 and C2 acting faithfully64C4^3:2C2128,1030
C4×C4⋊D4Direct product of C4 and C4⋊D464C4xC4:D4128,1032
C4×C22.D4Direct product of C4 and C22.D464C4xC2^2.D4128,1033
C4×C22⋊Q8Direct product of C4 and C22⋊Q864C4xC2^2:Q8128,1034
C4×C4.4D4Direct product of C4 and C4.4D464C4xC4.4D4128,1035
C4×C422C2Direct product of C4 and C422C264C4xC4^2:2C2128,1036
C4×C41D4Direct product of C4 and C41D464C4xC4:1D4128,1038
C23.192C2445th central extension by C23 of C2464C2^3.192C2^4128,1042
C24.542C2323rd non-split extension by C24 of C23 acting via C23/C22=C264C2^4.542C2^3128,1043
C23.195C2448th central extension by C23 of C2464C2^3.195C2^4128,1045
C24.192C2332nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.192C2^3128,1046
C24.545C2326th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.545C2^3128,1048
C23.199C2452nd central extension by C23 of C2464C2^3.199C2^4128,1049
C24.547C2328th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.547C2^3128,1050
C23.201C2454th central extension by C23 of C2464C2^3.201C2^4128,1051
C24.195C2335th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.195C2^3128,1054
C42.159D4141st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.159D4128,1055
C4213D47th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:13D4128,1056
C24.198C2338th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.198C2^3128,1057
C42.160D4142nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.160D4128,1058
C4214D48th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:14D4128,1060
C23.211C2464th central extension by C23 of C2464C2^3.211C2^4128,1061
C23.214C2467th central extension by C23 of C2464C2^3.214C2^4128,1064
C23.215C2468th central extension by C23 of C2464C2^3.215C2^4128,1065
C24.203C2343rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.203C2^3128,1066
C24.204C2344th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.204C2^3128,1067
C24.205C2345th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.205C2^3128,1069
C24.549C2330th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.549C2^3128,1071
Q8×C22⋊C4Direct product of Q8 and C22⋊C464Q8xC2^2:C4128,1072
C23.223C2476th central extension by C23 of C2464C2^3.223C2^4128,1073
C23.225C2478th central extension by C23 of C2464C2^3.225C2^4128,1075
C23.226C2479th central extension by C23 of C2464C2^3.226C2^4128,1076
C23.227C2480th central extension by C23 of C2464C2^3.227C2^4128,1077
C24.208C2348th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.208C2^3128,1078
C23.229C2482nd central extension by C23 of C2464C2^3.229C2^4128,1079
D4×C4⋊C4Direct product of D4 and C4⋊C464D4xC4:C4128,1080
C23.231C2484th central extension by C23 of C2464C2^3.231C2^4128,1081
C23.234C2487th central extension by C23 of C2464C2^3.234C2^4128,1084
C23.235C2488th central extension by C23 of C2464C2^3.235C2^4128,1085
C23.236C2489th central extension by C23 of C2464C2^3.236C2^4128,1086
C24.212C2352nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.212C2^3128,1089
C23.241C2494th central extension by C23 of C2464C2^3.241C2^4128,1091
C24.558C2339th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.558C2^3128,1092
C24.215C2355th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.215C2^3128,1093
C23.244C2497th central extension by C23 of C2464C2^3.244C2^4128,1094
C24.217C2357th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.217C2^3128,1095
C24.218C2358th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.218C2^3128,1096
C24.219C2359th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.219C2^3128,1098
C24.220C2360th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.220C2^3128,1099
C23.250C24103rd central extension by C23 of C2464C2^3.250C2^4128,1100
C24.221C2361st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.221C2^3128,1104
C23.255C24108th central extension by C23 of C2464C2^3.255C2^4128,1105
C24.223C2363rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.223C2^3128,1106
C24.225C2365th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.225C2^3128,1108
C23.259C24112nd central extension by C23 of C2464C2^3.259C2^4128,1109
C24.227C2367th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.227C2^3128,1110
C23.261C24114th central extension by C23 of C2464C2^3.261C2^4128,1111
C23.262C24115th central extension by C23 of C2464C2^3.262C2^4128,1112
C24.230C2370th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.230C2^3128,1115
C2×C232D4Direct product of C2 and C232D464C2xC2^3:2D4128,1116
C2×C23⋊Q8Direct product of C2 and C23⋊Q864C2xC2^3:Q8128,1117
C2×C23.10D4Direct product of C2 and C23.10D464C2xC2^3.10D4128,1118
C23.288C245th central stem extension by C23 of C2464C2^3.288C2^4128,1120
C2×C23.Q8Direct product of C2 and C23.Q864C2xC2^3.Q8128,1121
C2×C23.11D4Direct product of C2 and C23.11D464C2xC2^3.11D4128,1122
C4215D49th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:15D4128,1124
C2×C23.4Q8Direct product of C2 and C23.4Q864C2xC2^3.4Q8128,1125
C23.295C2412nd central stem extension by C23 of C2464C2^3.295C2^4128,1127
C42.162D4144th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.162D4128,1128
C4216D410th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:16D4128,1129
C42.163D4145th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.163D4128,1130
C23.301C2418th central stem extension by C23 of C2464C2^3.301C2^4128,1133
C24.243C2383rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.243C2^3128,1138
C24.244C2384th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.244C2^3128,1139
C23.309C2426th central stem extension by C23 of C2464C2^3.309C2^4128,1141
C23.313C2430th central stem extension by C23 of C2464C2^3.313C2^4128,1145
C24.249C2389th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.249C2^3128,1146
C23.315C2432nd central stem extension by C23 of C2464C2^3.315C2^4128,1147
C23.316C2433rd central stem extension by C23 of C2464C2^3.316C2^4128,1148
C24.252C2392nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.252C2^3128,1149
C24.563C2344th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.563C2^3128,1151
C24.254C2394th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.254C2^3128,1152
C23.321C2438th central stem extension by C23 of C2464C2^3.321C2^4128,1153
C23.322C2439th central stem extension by C23 of C2464C2^3.322C2^4128,1154
C23.323C2440th central stem extension by C23 of C2464C2^3.323C2^4128,1155
C24.258C2398th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.258C2^3128,1157
C24.259C2399th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.259C2^3128,1158
C23.327C2444th central stem extension by C23 of C2464C2^3.327C2^4128,1159
C23.328C2445th central stem extension by C23 of C2464C2^3.328C2^4128,1160
C23.329C2446th central stem extension by C23 of C2464C2^3.329C2^4128,1161
C24.262C23102nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.262C2^3128,1162
C24.263C23103rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.263C2^3128,1163
C24.264C23104th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.264C2^3128,1164
C23.334C2451st central stem extension by C23 of C2464C2^3.334C2^4128,1166
C24.565C2346th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.565C2^3128,1168
C24.567C2348th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.567C2^3128,1170
C24.267C23107th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.267C2^3128,1171
C24.568C2349th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.568C2^3128,1172
C24.268C23108th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.268C2^3128,1173
C24.569C2350th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.569C2^3128,1174
C24.269C23109th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.269C2^3128,1175
C23.344C2461st central stem extension by C23 of C2464C2^3.344C2^4128,1176
C23.345C2462nd central stem extension by C23 of C2464C2^3.345C2^4128,1177
C24.271C23111st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.271C2^3128,1179
C23.348C2465th central stem extension by C23 of C2464C2^3.348C2^4128,1180
C23.349C2466th central stem extension by C23 of C2464C2^3.349C2^4128,1181
C23.350C2467th central stem extension by C23 of C2464C2^3.350C2^4128,1182
C23.352C2469th central stem extension by C23 of C2464C2^3.352C2^4128,1184
C23.354C2471st central stem extension by C23 of C2464C2^3.354C2^4128,1186
C24.276C23116th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.276C2^3128,1187
C23.356C2473rd central stem extension by C23 of C2464C2^3.356C2^4128,1188
C24.278C23118th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.278C2^3128,1189
C24.279C23119th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.279C2^3128,1190
C23.359C2476th central stem extension by C23 of C2464C2^3.359C2^4128,1191
C23.360C2477th central stem extension by C23 of C2464C2^3.360C2^4128,1192
C24.282C23122nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.282C2^3128,1193
C24.283C23123rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.283C2^3128,1195
C23.364C2481st central stem extension by C23 of C2464C2^3.364C2^4128,1196
C24.285C23125th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.285C2^3128,1197
C24.286C23126th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.286C2^3128,1198
C23.367C2484th central stem extension by C23 of C2464C2^3.367C2^4128,1199
C23.368C2485th central stem extension by C23 of C2464C2^3.368C2^4128,1200
C23.369C2486th central stem extension by C23 of C2464C2^3.369C2^4128,1201
C24.289C23129th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.289C2^3128,1202
C24.290C23130th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.290C2^3128,1203
C24.572C2353rd non-split extension by C24 of C23 acting via C23/C22=C264C2^4.572C2^3128,1205
C23.374C2491st central stem extension by C23 of C2464C2^3.374C2^4128,1206
C23.375C2492nd central stem extension by C23 of C2464C2^3.375C2^4128,1207
C24.293C23133rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.293C2^3128,1208
C23.377C2494th central stem extension by C23 of C2464C2^3.377C2^4128,1209
C24.295C23135th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.295C2^3128,1210
C23.379C2496th central stem extension by C23 of C2464C2^3.379C2^4128,1211
C24.573C2354th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.573C2^3128,1213
C24.576C2357th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.576C2^3128,1216
C23.385C24102nd central stem extension by C23 of C2464C2^3.385C2^4128,1217
C24.299C23139th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.299C2^3128,1218
C24.300C23140th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.300C2^3128,1219
C23.388C24105th central stem extension by C23 of C2464C2^3.388C2^4128,1220
C24.301C23141st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.301C2^3128,1221
C23.390C24107th central stem extension by C23 of C2464C2^3.390C2^4128,1222
C23.391C24108th central stem extension by C23 of C2464C2^3.391C2^4128,1223
C23.392C24109th central stem extension by C23 of C2464C2^3.392C2^4128,1224
C24.577C2358th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.577C2^3128,1225
C24.304C23144th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.304C2^3128,1226
C23.395C24112nd central stem extension by C23 of C2464C2^3.395C2^4128,1227
C23.396C24113rd central stem extension by C23 of C2464C2^3.396C2^4128,1228
C23.397C24114th central stem extension by C23 of C2464C2^3.397C2^4128,1229
C23.398C24115th central stem extension by C23 of C2464C2^3.398C2^4128,1230
C24.308C23148th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.308C2^3128,1231
C23.400C24117th central stem extension by C23 of C2464C2^3.400C2^4128,1232
C23.401C24118th central stem extension by C23 of C2464C2^3.401C2^4128,1233
C23.402C24119th central stem extension by C23 of C2464C2^3.402C2^4128,1234
C24.579C2360th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.579C2^3128,1235
C23.404C24121st central stem extension by C23 of C2464C2^3.404C2^4128,1236
C23.405C24122nd central stem extension by C23 of C2464C2^3.405C2^4128,1237
C23.410C24127th central stem extension by C23 of C2464C2^3.410C2^4128,1242
C23.412C24129th central stem extension by C23 of C2464C2^3.412C2^4128,1244
C23.413C24130th central stem extension by C23 of C2464C2^3.413C2^4128,1245
C24.309C23149th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.309C2^3128,1247
C23.416C24133rd central stem extension by C23 of C2464C2^3.416C2^4128,1248
C23.417C24134th central stem extension by C23 of C2464C2^3.417C2^4128,1249
C23.418C24135th central stem extension by C23 of C2464C2^3.418C2^4128,1250
C23.419C24136th central stem extension by C23 of C2464C2^3.419C2^4128,1251
C24.311C23151st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.311C2^3128,1253
C23.422C24139th central stem extension by C23 of C2464C2^3.422C2^4128,1254
C24.313C23153rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.313C2^3128,1255
C23.425C24142nd central stem extension by C23 of C2464C2^3.425C2^4128,1257
C23.426C24143rd central stem extension by C23 of C2464C2^3.426C2^4128,1258
C24.315C23155th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.315C2^3128,1259
C23.429C24146th central stem extension by C23 of C2464C2^3.429C2^4128,1261
C23.430C24147th central stem extension by C23 of C2464C2^3.430C2^4128,1262
C23.431C24148th central stem extension by C23 of C2464C2^3.431C2^4128,1263
C23.432C24149th central stem extension by C23 of C2464C2^3.432C2^4128,1264
C4217D411st semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:17D4128,1267
C42.165D4147th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.165D4128,1268
C4218D412nd semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:18D4128,1269
C42.166D4148th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.166D4128,1270
C4219D413rd semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:19D4128,1272
C4220D414th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:20D4128,1273
C42.167D4149th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.167D4128,1274
C23.443C24160th central stem extension by C23 of C2464C2^3.443C2^4128,1275
C4221D415th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:21D4128,1276
C42.168D4150th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.168D4128,1277
C42.170D4152nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.170D4128,1279
C42.171D4153rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.171D4128,1280
C23.449C24166th central stem extension by C23 of C2464C2^3.449C2^4128,1281
C24.326C23166th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.326C2^3128,1285
C24.327C23167th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.327C2^3128,1286
C23.455C24172nd central stem extension by C23 of C2464C2^3.455C2^4128,1287
C23.456C24173rd central stem extension by C23 of C2464C2^3.456C2^4128,1288
C23.457C24174th central stem extension by C23 of C2464C2^3.457C2^4128,1289
C23.458C24175th central stem extension by C23 of C2464C2^3.458C2^4128,1290
C24.331C23171st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.331C2^3128,1291
C24.332C23172nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.332C2^3128,1292
C42.172D4154th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.172D4128,1294
C42.173D4155th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.173D4128,1295
C24.583C2364th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.583C2^3128,1296
C42.175D4157th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.175D4128,1298
C24.584C2365th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.584C2^3128,1301
C23.472C24189th central stem extension by C23 of C2464C2^3.472C2^4128,1304
C23.473C24190th central stem extension by C23 of C2464C2^3.473C2^4128,1305
C24.338C23178th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.338C2^3128,1306
C24.339C23179th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.339C2^3128,1307
C24.340C23180th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.340C2^3128,1308
C24.341C23181st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.341C2^3128,1309
C23.478C24195th central stem extension by C23 of C2464C2^3.478C2^4128,1310
C23.479C24196th central stem extension by C23 of C2464C2^3.479C2^4128,1311
C42.178D4160th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.178D4128,1312
C23.483C24200th central stem extension by C23 of C2464C2^3.483C2^4128,1315
C24.345C23185th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.345C2^3128,1319
C24.346C23186th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.346C2^3128,1321
C23.491C24208th central stem extension by C23 of C2464C2^3.491C2^4128,1323
C42.182D4164th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.182D4128,1324
C23.493C24210th central stem extension by C23 of C2464C2^3.493C2^4128,1325
C23.494C24211st central stem extension by C23 of C2464C2^3.494C2^4128,1326
C24.347C23187th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.347C2^3128,1327
C23.496C24213rd central stem extension by C23 of C2464C2^3.496C2^4128,1328
C24.348C23188th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.348C2^3128,1329
C4222D416th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:22D4128,1330
C42.183D4165th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.183D4128,1331
C23.500C24217th central stem extension by C23 of C2464C2^3.500C2^4128,1332
C4223D417th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:23D4128,1333
C23.502C24219th central stem extension by C23 of C2464C2^3.502C2^4128,1334
C4224D418th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:24D4128,1335
C42.184D4166th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.184D4128,1336
C24.355C23195th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.355C2^3128,1339
C23.508C24225th central stem extension by C23 of C2464C2^3.508C2^4128,1340
C4225D419th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:25D4128,1341
C4226D420th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:26D4128,1342
C42.185D4167th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.185D4128,1343
C23.514C24231st central stem extension by C23 of C2464C2^3.514C2^4128,1346
C24.360C23200th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.360C2^3128,1347
C24.361C23201st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.361C2^3128,1348
C24.587C2368th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.587C2^3128,1350
C4227D421st semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:27D4128,1351
C4228D422nd semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:28D4128,1352
C42.186D4168th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.186D4128,1353
C24.589C2370th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.589C2^3128,1355
C23.524C24241st central stem extension by C23 of C2464C2^3.524C2^4128,1356
C23.525C24242nd central stem extension by C23 of C2464C2^3.525C2^4128,1357
C23.527C24244th central stem extension by C23 of C2464C2^3.527C2^4128,1359
C42.187D4169th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.187D4128,1360
C42.188D4170th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.188D4128,1361
C23.530C24247th central stem extension by C23 of C2464C2^3.530C2^4128,1362
C4229D423rd semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:29D4128,1363
C42.189D4171st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.189D4128,1364
C42.190D4172nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.190D4128,1365
C23.535C24252nd central stem extension by C23 of C2464C2^3.535C2^4128,1367
C4230D424th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:30D4128,1368
C42.192D4174th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.192D4128,1369
C24.374C23214th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.374C2^3128,1370
C24.592C2373rd non-split extension by C24 of C23 acting via C23/C22=C264C2^4.592C2^3128,1371
C42.193D4175th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.193D4128,1372
C42.194D4176th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.194D4128,1373
C23.543C24260th central stem extension by C23 of C2464C2^3.543C2^4128,1375
C23.544C24261st central stem extension by C23 of C2464C2^3.544C2^4128,1376
C23.546C24263rd central stem extension by C23 of C2464C2^3.546C2^4128,1378
C23.548C24265th central stem extension by C23 of C2464C2^3.548C2^4128,1380
C24.375C23215th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.375C2^3128,1381
C23.550C24267th central stem extension by C23 of C2464C2^3.550C2^4128,1382
C23.551C24268th central stem extension by C23 of C2464C2^3.551C2^4128,1383
C24.376C23216th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.376C2^3128,1384
C23.553C24270th central stem extension by C23 of C2464C2^3.553C2^4128,1385
C23.554C24271st central stem extension by C23 of C2464C2^3.554C2^4128,1386
C23.556C24273rd central stem extension by C23 of C2464C2^3.556C2^4128,1388
C4231D425th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:31D4128,1389
C42.196D4178th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.196D4128,1390
C23.559C24276th central stem extension by C23 of C2464C2^3.559C2^4128,1391
C24.377C23217th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.377C2^3128,1393
C4232D426th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:32D4128,1394
C24.378C23218th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.378C2^3128,1395
C42.198D4180th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.198D4128,1396
C24.379C23219th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.379C2^3128,1397
C23.567C24284th central stem extension by C23 of C2464C2^3.567C2^4128,1399
C23.571C24288th central stem extension by C23 of C2464C2^3.571C2^4128,1403
C23.572C24289th central stem extension by C23 of C2464C2^3.572C2^4128,1404
C23.573C24290th central stem extension by C23 of C2464C2^3.573C2^4128,1405
C23.574C24291st central stem extension by C23 of C2464C2^3.574C2^4128,1406
C24.384C23224th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.384C2^3128,1407
C23.576C24293rd central stem extension by C23 of C2464C2^3.576C2^4128,1408
C24.385C23225th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.385C2^3128,1409
C23.580C24297th central stem extension by C23 of C2464C2^3.580C2^4128,1412
C23.581C24298th central stem extension by C23 of C2464C2^3.581C2^4128,1413
C24.389C23229th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.389C2^3128,1414
C23.583C24300th central stem extension by C23 of C2464C2^3.583C2^4128,1415
C24.393C23233rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.393C2^3128,1418
C24.394C23234th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.394C2^3128,1419
C24.395C23235th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.395C2^3128,1420
C23.589C24306th central stem extension by C23 of C2464C2^3.589C2^4128,1421
C23.590C24307th central stem extension by C23 of C2464C2^3.590C2^4128,1422
C23.591C24308th central stem extension by C23 of C2464C2^3.591C2^4128,1423
C23.592C24309th central stem extension by C23 of C2464C2^3.592C2^4128,1424
C23.593C24310th central stem extension by C23 of C2464C2^3.593C2^4128,1425
C24.401C23241st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.401C2^3128,1426
C23.595C24312nd central stem extension by C23 of C2464C2^3.595C2^4128,1427
C24.403C23243rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.403C2^3128,1428
C24.405C23245th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.405C2^3128,1430
C24.406C23246th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.406C2^3128,1431
C23.600C24317th central stem extension by C23 of C2464C2^3.600C2^4128,1432
C24.407C23247th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.407C2^3128,1433
C23.602C24319th central stem extension by C23 of C2464C2^3.602C2^4128,1434
C23.603C24320th central stem extension by C23 of C2464C2^3.603C2^4128,1435
C24.408C23248th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.408C2^3128,1436
C23.605C24322nd central stem extension by C23 of C2464C2^3.605C2^4128,1437
C23.606C24323rd central stem extension by C23 of C2464C2^3.606C2^4128,1438
C23.607C24324th central stem extension by C23 of C2464C2^3.607C2^4128,1439
C23.608C24325th central stem extension by C23 of C2464C2^3.608C2^4128,1440
C24.411C23251st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.411C2^3128,1441
C24.412C23252nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.412C2^3128,1442
C23.611C24328th central stem extension by C23 of C2464C2^3.611C2^4128,1443
C23.612C24329th central stem extension by C23 of C2464C2^3.612C2^4128,1444
C24.413C23253rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.413C2^3128,1446
C23.615C24332nd central stem extension by C23 of C2464C2^3.615C2^4128,1447
C23.616C24333rd central stem extension by C23 of C2464C2^3.616C2^4128,1448
C23.617C24334th central stem extension by C23 of C2464C2^3.617C2^4128,1449
C23.618C24335th central stem extension by C23 of C2464C2^3.618C2^4128,1450
C23.620C24337th central stem extension by C23 of C2464C2^3.620C2^4128,1452
C23.621C24338th central stem extension by C23 of C2464C2^3.621C2^4128,1453
C23.622C24339th central stem extension by C23 of C2464C2^3.622C2^4128,1454
C24.418C23258th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.418C2^3128,1455
C23.624C24341st central stem extension by C23 of C2464C2^3.624C2^4128,1456
C23.625C24342nd central stem extension by C23 of C2464C2^3.625C2^4128,1457
C23.627C24344th central stem extension by C23 of C2464C2^3.627C2^4128,1459
C24.420C23260th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.420C2^3128,1460
C24.421C23261st non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.421C2^3128,1461
C23.630C24347th central stem extension by C23 of C2464C2^3.630C2^4128,1462
C23.631C24348th central stem extension by C23 of C2464C2^3.631C2^4128,1463
C23.632C24349th central stem extension by C23 of C2464C2^3.632C2^4128,1464
C23.633C24350th central stem extension by C23 of C2464C2^3.633C2^4128,1465
C23.637C24354th central stem extension by C23 of C2464C2^3.637C2^4128,1469
C24.426C23266th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.426C2^3128,1470
C24.427C23267th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.427C2^3128,1471
C23.640C24357th central stem extension by C23 of C2464C2^3.640C2^4128,1472
C23.641C24358th central stem extension by C23 of C2464C2^3.641C2^4128,1473
C24.428C23268th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.428C2^3128,1474
C23.643C24360th central stem extension by C23 of C2464C2^3.643C2^4128,1475
C24.430C23270th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.430C2^3128,1476
C23.645C24362nd central stem extension by C23 of C2464C2^3.645C2^4128,1477
C24.432C23272nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.432C2^3128,1478
C23.647C24364th central stem extension by C23 of C2464C2^3.647C2^4128,1479
C24.434C23274th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.434C2^3128,1480
C23.649C24366th central stem extension by C23 of C2464C2^3.649C2^4128,1481
C24.435C23275th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.435C2^3128,1482
C23.651C24368th central stem extension by C23 of C2464C2^3.651C2^4128,1483
C23.652C24369th central stem extension by C23 of C2464C2^3.652C2^4128,1484
C24.437C23277th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.437C2^3128,1485
C23.654C24371st central stem extension by C23 of C2464C2^3.654C2^4128,1486
C23.656C24373rd central stem extension by C23 of C2464C2^3.656C2^4128,1488
C24.438C23278th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.438C2^3128,1489
C23.659C24376th central stem extension by C23 of C2464C2^3.659C2^4128,1491
C23.660C24377th central stem extension by C23 of C2464C2^3.660C2^4128,1492
C24.440C23280th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.440C2^3128,1493
C23.663C24380th central stem extension by C23 of C2464C2^3.663C2^4128,1495
C23.664C24381st central stem extension by C23 of C2464C2^3.664C2^4128,1496
C24.443C23283rd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.443C2^3128,1497
C23.668C24385th central stem extension by C23 of C2464C2^3.668C2^4128,1500
C24.445C23285th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.445C2^3128,1502
C23.671C24388th central stem extension by C23 of C2464C2^3.671C2^4128,1503
C23.672C24389th central stem extension by C23 of C2464C2^3.672C2^4128,1504
C23.673C24390th central stem extension by C23 of C2464C2^3.673C2^4128,1505
C23.675C24392nd central stem extension by C23 of C2464C2^3.675C2^4128,1507
C23.677C24394th central stem extension by C23 of C2464C2^3.677C2^4128,1509
C23.678C24395th central stem extension by C23 of C2464C2^3.678C2^4128,1510
C23.679C24396th central stem extension by C23 of C2464C2^3.679C2^4128,1511
C24.448C23288th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.448C2^3128,1512
C23.681C24398th central stem extension by C23 of C2464C2^3.681C2^4128,1513
C23.682C24399th central stem extension by C23 of C2464C2^3.682C2^4128,1514
C23.683C24400th central stem extension by C23 of C2464C2^3.683C2^4128,1515
C24.450C23290th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.450C2^3128,1516
C23.685C24402nd central stem extension by C23 of C2464C2^3.685C2^4128,1517
C23.686C24403rd central stem extension by C23 of C2464C2^3.686C2^4128,1518
C23.687C24404th central stem extension by C23 of C2464C2^3.687C2^4128,1519
C23.688C24405th central stem extension by C23 of C2464C2^3.688C2^4128,1520
C24.454C23294th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.454C2^3128,1522
C23.693C24410th central stem extension by C23 of C2464C2^3.693C2^4128,1525
C23.695C24412nd central stem extension by C23 of C2464C2^3.695C2^4128,1527
C23.696C24413rd central stem extension by C23 of C2464C2^3.696C2^4128,1528
C23.697C24414th central stem extension by C23 of C2464C2^3.697C2^4128,1529
C23.698C24415th central stem extension by C23 of C2464C2^3.698C2^4128,1530
C23.700C24417th central stem extension by C23 of C2464C2^3.700C2^4128,1532
C23.701C24418th central stem extension by C23 of C2464C2^3.701C2^4128,1533
C23.703C24420th central stem extension by C23 of C2464C2^3.703C2^4128,1535
C24.456C23296th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.456C2^3128,1536
C23.707C24424th central stem extension by C23 of C2464C2^3.707C2^4128,1539
C23.708C24425th central stem extension by C23 of C2464C2^3.708C2^4128,1540
C24.459C23299th non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.459C2^3128,1545
C23.714C24431st central stem extension by C23 of C2464C2^3.714C2^4128,1546
C23.715C24432nd central stem extension by C23 of C2464C2^3.715C2^4128,1547
C23.716C24433rd central stem extension by C23 of C2464C2^3.716C2^4128,1548
C24.462C23302nd non-split extension by C24 of C23 acting via C23/C2=C2264C2^4.462C2^3128,1549
C4233D427th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:33D4128,1550
C4234D428th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:34D4128,1551
C42.199D4181st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.199D4128,1552
C42.200D4182nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.200D4128,1553
C4235D429th semidirect product of C42 and D4 acting via D4/C2=C2264C4^2:35D4128,1555
C23.724C24441st central stem extension by C23 of C2464C2^3.724C2^4128,1556
C23.725C24442nd central stem extension by C23 of C2464C2^3.725C2^4128,1557
C23.726C24443rd central stem extension by C23 of C2464C2^3.726C2^4128,1558
C23.727C24444th central stem extension by C23 of C2464C2^3.727C2^4128,1559
C23.728C24445th central stem extension by C23 of C2464C2^3.728C2^4128,1560
C23.729C24446th central stem extension by C23 of C2464C2^3.729C2^4128,1561
C23.730C24447th central stem extension by C23 of C2464C2^3.730C2^4128,1562
C23.731C24448th central stem extension by C23 of C2464C2^3.731C2^4128,1563
C23.732C24449th central stem extension by C23 of C2464C2^3.732C2^4128,1564
C23.734C24451st central stem extension by C23 of C2464C2^3.734C2^4128,1566
C23.735C24452nd central stem extension by C23 of C2464C2^3.735C2^4128,1567
C23.736C24453rd central stem extension by C23 of C2464C2^3.736C2^4128,1568
C23.737C24454th central stem extension by C23 of C2464C2^3.737C2^4128,1569
C23.738C24455th central stem extension by C23 of C2464C2^3.738C2^4128,1570
C23.741C24458th central stem extension by C23 of C2464C2^3.741C2^4128,1573
C4246D45th semidirect product of C42 and D4 acting via D4/C22=C264C4^2:46D4128,1582
C42.439D472nd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.439D4128,1583
C4243D42nd semidirect product of C42 and D4 acting via D4/C22=C264C4^2:43D4128,1584
C23.753C24470th central stem extension by C23 of C2464C2^3.753C2^4128,1585
C24.598C2379th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.598C2^3128,1586
C24.599C2380th non-split extension by C24 of C23 acting via C23/C22=C264C2^4.599C2^3128,1587
C4247D46th semidirect product of C42 and D4 acting via D4/C22=C264C4^2:47D4128,1588
C42.440D473rd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.440D4128,1589
C4312C212nd semidirect product of C43 and C2 acting faithfully64C4^3:12C2128,1590
C4313C213rd semidirect product of C43 and C2 acting faithfully64C4^3:13C2128,1592
C4314C214th semidirect product of C43 and C2 acting faithfully64C4^3:14C2128,1593
C434C24th semidirect product of C43 and C2 acting faithfully64C4^3:4C2128,1597
C435C25th semidirect product of C43 and C2 acting faithfully64C4^3:5C2128,1598
C4315C215th semidirect product of C43 and C2 acting faithfully64C4^3:15C2128,1599
C2×C4×M4(2)Direct product of C2×C4 and M4(2)64C2xC4xM4(2)128,1603
C2×C82M4(2)Direct product of C2 and C82M4(2)64C2xC8o2M4(2)128,1604
C4×C8○D4Direct product of C4 and C8○D464C4xC8oD4128,1606
D4.5C422nd non-split extension by D4 of C42 acting through Inn(D4)64D4.5C4^2128,1607
C22×C22⋊C8Direct product of C22 and C22⋊C864C2^2xC2^2:C8128,1608
C2×(C22×C8)⋊C2Direct product of C2 and (C22×C8)⋊C264C2x(C2^2xC8):C2128,1610
C22×C4.10D4Direct product of C22 and C4.10D464C2^2xC4.10D4128,1618
C22×D4⋊C4Direct product of C22 and D4⋊C464C2^2xD4:C4128,1622
C2×C23.24D4Direct product of C2 and C23.24D464C2xC2^3.24D4128,1624
C2×C23.38D4Direct product of C2 and C23.38D464C2xC2^3.38D4128,1626
C2×C23.36D4Direct product of C2 and C23.36D464C2xC2^3.36D4128,1627
2- 1+44C43rd semidirect product of 2- 1+4 and C4 acting via C4/C2=C264ES-(2,2):4C4128,1630
C2×C4⋊M4(2)Direct product of C2 and C4⋊M4(2)64C2xC4:M4(2)128,1635
C2×C42.6C22Direct product of C2 and C42.6C2264C2xC4^2.6C2^2128,1636
C42.674C2389th non-split extension by C42 of C23 acting via C23/C22=C264C4^2.674C2^3128,1638
C2×C23.25D4Direct product of C2 and C23.25D464C2xC2^3.25D4128,1641
C2×M4(2)⋊C4Direct product of C2 and M4(2)⋊C464C2xM4(2):C4128,1642
C4○D4.7Q85th non-split extension by C4○D4 of Q8 acting via Q8/C4=C264C4oD4.7Q8128,1644
C4○D4.8Q86th non-split extension by C4○D4 of Q8 acting via Q8/C4=C264C4oD4.8Q8128,1645
C22×C8.C4Direct product of C22 and C8.C464C2^2xC8.C4128,1646
C2×C42.12C4Direct product of C2 and C42.12C464C2xC4^2.12C4128,1649
C2×C42.6C4Direct product of C2 and C42.6C464C2xC4^2.6C4128,1650
C2×C42.7C22Direct product of C2 and C42.7C2264C2xC4^2.7C2^2128,1651
C42.260C23121st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.260C2^3128,1654
C42.261C23122nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.261C2^3128,1655
C42.678C2393rd non-split extension by C42 of C23 acting via C23/C22=C264C4^2.678C2^3128,1657
D4×C2×C8Direct product of C2×C8 and D464D4xC2xC8128,1658
C2×C89D4Direct product of C2 and C89D464C2xC8:9D4128,1659
C2×C86D4Direct product of C2 and C86D464C2xC8:6D4128,1660
C42.681C2396th non-split extension by C42 of C23 acting via C23/C22=C264C4^2.681C2^3128,1663
C42.266C23127th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.266C2^3128,1664
M4(2)⋊23D42nd semidirect product of M4(2) and D4 acting through Inn(M4(2))64M4(2):23D4128,1667
C2×C4×D8Direct product of C2×C4 and D864C2xC4xD8128,1668
C2×C4×SD16Direct product of C2×C4 and SD1664C2xC4xSD16128,1669
C4×C4○D8Direct product of C4 and C4○D864C4xC4oD8128,1671
C2×SD16⋊C4Direct product of C2 and SD16⋊C464C2xSD16:C4128,1672
C2×D8⋊C4Direct product of C2 and D8⋊C464C2xD8:C4128,1674
C42.383D416th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.383D4128,1675
C4×C8.C22Direct product of C4 and C8.C2264C4xC8.C2^2128,1677
C42.276C23137th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.276C2^3128,1679
C42.279C23140th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.279C2^3128,1682
C42.280C23141st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.280C2^3128,1683
C42.281C23142nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.281C2^3128,1684
C42.286C23147th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.286C2^3128,1692
C42.287C23148th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.287C2^3128,1693
M4(2)⋊9Q8The semidirect product of M4(2) and Q8 acting through Inn(M4(2))64M4(2):9Q8128,1694
Q8×M4(2)Direct product of Q8 and M4(2)64Q8xM4(2)128,1695
C8×C4○D4Direct product of C8 and C4○D464C8xC4oD4128,1696
C42.290C23151st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.290C2^3128,1697
C42.291C23152nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.291C2^3128,1698
C42.292C23153rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.292C2^3128,1699
C42.293C23154th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.293C2^3128,1700
C42.294C23155th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.294C2^3128,1701
D46M4(2)1st semidirect product of D4 and M4(2) acting through Inn(D4)64D4:6M4(2)128,1702
Q86M4(2)1st semidirect product of Q8 and M4(2) acting through Inn(Q8)64Q8:6M4(2)128,1703
C42.694C23109th non-split extension by C42 of C23 acting via C23/C22=C264C4^2.694C2^3128,1711
C42.300C23161st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.300C2^3128,1712
C42.301C23162nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.301C2^3128,1713
C42.695C23110th non-split extension by C42 of C23 acting via C23/C22=C264C4^2.695C2^3128,1714
C42.302C23163rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.302C2^3128,1715
Q8.4M4(2)The non-split extension by Q8 of M4(2) acting through Inn(Q8)64Q8.4M4(2)128,1716
C42.696C23111st non-split extension by C42 of C23 acting via C23/C22=C264C4^2.696C2^3128,1717
C42.304C23165th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.304C2^3128,1718
C42.305C23166th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.305C2^3128,1719
C42.697C23112nd non-split extension by C42 of C23 acting via C23/C22=C264C4^2.697C2^3128,1720
C42.698C23113rd non-split extension by C42 of C23 acting via C23/C22=C264C4^2.698C2^3128,1721
D48M4(2)3rd semidirect product of D4 and M4(2) acting through Inn(D4)64D4:8M4(2)128,1722
Q87M4(2)2nd semidirect product of Q8 and M4(2) acting through Inn(Q8)64Q8:7M4(2)128,1723
C42.307C23168th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.307C2^3128,1724
C42.308C23169th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.308C2^3128,1725
C42.309C23170th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.309C2^3128,1726
C42.310C23171st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.310C2^3128,1727
C2×Q8⋊D4Direct product of C2 and Q8⋊D464C2xQ8:D4128,1730
C2×C22⋊Q16Direct product of C2 and C22⋊Q1664C2xC2^2:Q16128,1731
C2×D4⋊D4Direct product of C2 and D4⋊D464C2xD4:D4128,1732
C2×D4.7D4Direct product of C2 and D4.7D464C2xD4.7D4128,1733
Q8.(C2×D4)10th non-split extension by Q8 of C2×D4 acting via C2×D4/C23=C264Q8.(C2xD4)128,1743
(C2×Q8)⋊17D413rd semidirect product of C2×Q8 and D4 acting via D4/C2=C2264(C2xQ8):17D4128,1745
C2×C4⋊D8Direct product of C2 and C4⋊D864C2xC4:D8128,1761
C2×D4.D4Direct product of C2 and D4.D464C2xD4.D4128,1762
C2×D4.2D4Direct product of C2 and D4.2D464C2xD4.2D4128,1763
C2×C4⋊SD16Direct product of C2 and C4⋊SD1664C2xC4:SD16128,1764
C2×Q8.D4Direct product of C2 and Q8.D464C2xQ8.D4128,1766
C42.443D476th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.443D4128,1767
C42.212D4194th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.212D4128,1769
C42.445D478th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.445D4128,1771
C42.17C2317th non-split extension by C42 of C23 acting faithfully64C4^2.17C2^3128,1776
C42.19C2319th non-split extension by C42 of C23 acting faithfully64C4^2.19C2^3128,1778
C2×C88D4Direct product of C2 and C88D464C2xC8:8D4128,1779
C2×C87D4Direct product of C2 and C87D464C2xC8:7D4128,1780
C2×C8.18D4Direct product of C2 and C8.18D464C2xC8.18D4128,1781
C2×C8⋊D4Direct product of C2 and C8⋊D464C2xC8:D4128,1783
C2×C82D4Direct product of C2 and C82D464C2xC8:2D4128,1784
C2×C8.D4Direct product of C2 and C8.D464C2xC8.D4128,1785
C8.D4⋊C23rd semidirect product of C8.D4 and C2 acting faithfully64C8.D4:C2128,1791
(C2×C8)⋊13D49th semidirect product of C2×C8 and D4 acting via D4/C2=C2264(C2xC8):13D4128,1792
(C2×C8)⋊14D410th semidirect product of C2×C8 and D4 acting via D4/C2=C2264(C2xC8):14D4128,1793
M4(2)⋊17D44th semidirect product of M4(2) and D4 acting via D4/C22=C264M4(2):17D4128,1795
C2×D4.5D4Direct product of C2 and D4.5D464C2xD4.5D4128,1798
C2×D4⋊Q8Direct product of C2 and D4⋊Q864C2xD4:Q8128,1802
C2×D42Q8Direct product of C2 and D42Q864C2xD4:2Q8128,1803
C2×D4.Q8Direct product of C2 and D4.Q864C2xD4.Q8128,1804
C42.447D480th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.447D4128,1808
C42.220D4202nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.220D4128,1810
C42.448D481st non-split extension by C42 of D4 acting via D4/C22=C264C4^2.448D4128,1811
C42.449D482nd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.449D4128,1812
C42.21C2321st non-split extension by C42 of C23 acting faithfully64C4^2.21C2^3128,1814
C42.22C2322nd non-split extension by C42 of C23 acting faithfully64C4^2.22C2^3128,1815
C42.23C2323rd non-split extension by C42 of C23 acting faithfully64C4^2.23C2^3128,1816
C2×C22.D8Direct product of C2 and C22.D864C2xC2^2.D8128,1817
C2×C23.47D4Direct product of C2 and C23.47D464C2xC2^3.47D4128,1818
C2×C23.19D4Direct product of C2 and C23.19D464C2xC2^3.19D4128,1819
C2×C23.20D4Direct product of C2 and C23.20D464C2xC2^3.20D4128,1820
C2×C23.46D4Direct product of C2 and C23.46D464C2xC2^3.46D4128,1821
C2×C23.48D4Direct product of C2 and C23.48D464C2xC2^3.48D4128,1822
(C2×D4).302D455th non-split extension by C2×D4 of D4 acting via D4/C22=C264(C2xD4).302D4128,1829
(C2×D4).303D456th non-split extension by C2×D4 of D4 acting via D4/C22=C264(C2xD4).303D4128,1830
(C2×D4).304D457th non-split extension by C2×D4 of D4 acting via D4/C22=C264(C2xD4).304D4128,1831
C42.384D417th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.384D4128,1834
C42.223D4205th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.223D4128,1835
C42.224D4206th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.224D4128,1836
C42.450D483rd non-split extension by C42 of D4 acting via D4/C22=C264C4^2.450D4128,1838
C42.451D484th non-split extension by C42 of D4 acting via D4/C22=C264C4^2.451D4128,1839
C42.226D4208th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.226D4128,1840
C42.229D4211st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.229D4128,1843
C42.230D4212nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.230D4128,1844
C42.231D4213rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.231D4128,1845
C42.233D4215th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.233D4128,1847
C42.234D4216th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.234D4128,1848
C42.235D4217th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.235D4128,1849
C42.353C23214th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.353C2^3128,1851
C42.354C23215th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.354C2^3128,1852
C42.355C23216th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.355C2^3128,1853
C42.358C23219th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.358C2^3128,1856
C42.359C23220th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.359C2^3128,1857
C42.360C23221st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.360C2^3128,1858
C42.361C23222nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.361C2^3128,1859
C2×C4.4D8Direct product of C2 and C4.4D864C2xC4.4D8128,1860
C2×C42.78C22Direct product of C2 and C42.78C2264C2xC4^2.78C2^2128,1862
C42.355D451st non-split extension by C42 of D4 acting via D4/C4=C264C4^2.355D4128,1863
C2×C42.28C22Direct product of C2 and C42.28C2264C2xC4^2.28C2^2128,1864
C2×C42.29C22Direct product of C2 and C42.29C2264C2xC4^2.29C2^2128,1865
C42.239D4221st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.239D4128,1867
C42.367C23228th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.367C2^3128,1869
C42.241D4223rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.241D4128,1871
C42.243D4225th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.243D4128,1873
C42.244D4226th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.244D4128,1874
C2×C85D4Direct product of C2 and C85D464C2xC8:5D4128,1875
C2×C84D4Direct product of C2 and C84D464C2xC8:4D4128,1876
C2×C8.12D4Direct product of C2 and C8.12D464C2xC8.12D4128,1878
C42.360D456th non-split extension by C42 of D4 acting via D4/C4=C264C4^2.360D4128,1879
C2×C83D4Direct product of C2 and C83D464C2xC8:3D4128,1880
C2×C8.2D4Direct product of C2 and C8.2D464C2xC8.2D4128,1881
C42.247D4229th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.247D4128,1882
M4(2)⋊8D42nd semidirect product of M4(2) and D4 acting via D4/C4=C264M4(2):8D4128,1884
M4(2).20D41st non-split extension by M4(2) of D4 acting via D4/C4=C264M4(2).20D4128,1888
C42.364D460th non-split extension by C42 of D4 acting via D4/C4=C264C4^2.364D4128,1892
C42.252D4234th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.252D4128,1894
M4(2)⋊3Q81st semidirect product of M4(2) and Q8 acting via Q8/C4=C264M4(2):3Q8128,1895
M4(2)⋊4Q82nd semidirect product of M4(2) and Q8 acting via Q8/C4=C264M4(2):4Q8128,1896
M4(2)⋊5Q83rd semidirect product of M4(2) and Q8 acting via Q8/C4=C264M4(2):5Q8128,1897
M4(2)⋊6Q84th semidirect product of M4(2) and Q8 acting via Q8/C4=C264M4(2):6Q8128,1898
C42.365D461st non-split extension by C42 of D4 acting via D4/C4=C264C4^2.365D4128,1899
C42.308D44th non-split extension by C42 of D4 acting via D4/C4=C264C4^2.308D4128,1900
C42.366D462nd non-split extension by C42 of D4 acting via D4/C4=C264C4^2.366D4128,1901
C42.367D463rd non-split extension by C42 of D4 acting via D4/C4=C264C4^2.367D4128,1902
C42.255D4237th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.255D4128,1903
C42.256D4238th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.256D4128,1904
C42.385C23246th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.385C2^3128,1905
C42.386C23247th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.386C2^3128,1906
C42.387C23248th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.387C2^3128,1907
C42.388C23249th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.388C2^3128,1908
C42.389C23250th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.389C2^3128,1909
C42.390C23251st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.390C2^3128,1910
C42.391C23252nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.391C2^3128,1911
C42.257D4239th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.257D4128,1912
C42.258D4240th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.258D4128,1913
C42.259D4241st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.259D4128,1914
C42.260D4242nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.260D4128,1915
C42.261D4243rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.261D4128,1916
C42.262D4244th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.262D4128,1917
C4.162+ 1+416th non-split extension by C4 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C264C4.16ES+(2,2)128,1933
C4.172+ 1+417th non-split extension by C4 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C264C4.17ES+(2,2)128,1934
C4.182+ 1+418th non-split extension by C4 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C264C4.18ES+(2,2)128,1935
C4.192+ 1+419th non-split extension by C4 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C264C4.19ES+(2,2)128,1936
C42.264D4246th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.264D4128,1938
C42.265D4247th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.265D4128,1939
C42.267D4249th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.267D4128,1941
C42.268D4250th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.268D4128,1942
C42.270D4252nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.270D4128,1944
C42.272D4254th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.272D4128,1946
C42.274D4256th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.274D4128,1948
C42.276D4258th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.276D4128,1950
C42.277D4259th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.277D4128,1951
C42.407C23268th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.407C2^3128,1953
C42.409C23270th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.409C2^3128,1955
C42.411C23272nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.411C2^3128,1957
C42.278D4260th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.278D4128,1958
C42.279D4261st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.279D4128,1959
C42.280D4262nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.280D4128,1960
C42.281D4263rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.281D4128,1961
C42.282D4264th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.282D4128,1962
C42.283D4265th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.283D4128,1963
C42.284D4266th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.284D4128,1964
C42.285D4267th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.285D4128,1965
C42.286D4268th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.286D4128,1966
C42.287D4269th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.287D4128,1967
C42.288D4270th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.288D4128,1968
C42.289D4271st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.289D4128,1969
C42.290D4272nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.290D4128,1970
C42.291D4273rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.291D4128,1971
C42.292D4274th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.292D4128,1972
C42.423C23284th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.423C2^3128,1973
C42.424C23285th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.424C2^3128,1974
C42.425C23286th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.425C2^3128,1975
C42.426C23287th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.426C2^3128,1976
C42.293D4275th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.293D4128,1977
C42.294D4276th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.294D4128,1978
C42.295D4277th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.295D4128,1979
C42.296D4278th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.296D4128,1980
C42.297D4279th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.297D4128,1981
C42.298D4280th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.298D4128,1982
C42.299D4281st non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.299D4128,1983
C42.300D4282nd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.300D4128,1984
C42.301D4283rd non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.301D4128,1985
C42.302D4284th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.302D4128,1986
C42.303D4285th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.303D4128,1987
C42.304D4286th non-split extension by C42 of D4 acting via D4/C2=C2264C4^2.304D4128,1988
C4.2- 1+413rd non-split extension by C4 of 2- 1+4 acting via 2- 1+4/C2×Q8=C264C4.ES-(2,2)128,1989
C42.25C2325th non-split extension by C42 of C23 acting faithfully64C4^2.25C2^3128,1990
C42.26C2326th non-split extension by C42 of C23 acting faithfully64C4^2.26C2^3128,1991
C42.27C2327th non-split extension by C42 of C23 acting faithfully64C4^2.27C2^3128,1992
C42.28C2328th non-split extension by C42 of C23 acting faithfully64C4^2.28C2^3128,1993
C42.29C2329th non-split extension by C42 of C23 acting faithfully64C4^2.29C2^3128,1994
C42.30C2330th non-split extension by C42 of C23 acting faithfully64C4^2.30C2^3128,1995
SD168D44th semidirect product of SD16 and D4 acting via D4/C22=C264SD16:8D4128,2001
Q169D43rd semidirect product of Q16 and D4 acting via D4/C22=C264Q16:9D4128,2002
Q1610D44th semidirect product of Q16 and D4 acting via D4/C22=C264Q16:10D4128,2003
SD163D43rd semidirect product of SD16 and D4 acting via D4/C4=C264SD16:3D4128,2008
Q164D43rd semidirect product of Q16 and D4 acting via D4/C4=C264Q16:4D4128,2009
Q165D44th semidirect product of Q16 and D4 acting via D4/C4=C264Q16:5D4128,2010
D813D42nd semidirect product of D8 and D4 acting through Inn(D8)64D8:13D4128,2015
SD1611D42nd semidirect product of SD16 and D4 acting through Inn(SD16)64SD16:11D4128,2016
Q1612D41st semidirect product of Q16 and D4 acting through Inn(Q16)64Q16:12D4128,2017
D4×Q16Direct product of D4 and Q1664D4xQ16128,2018
Q1613D42nd semidirect product of Q16 and D4 acting through Inn(Q16)64Q16:13D4128,2019
D48SD162nd semidirect product of D4 and SD16 acting through Inn(D4)64D4:8SD16128,2030
D45Q161st semidirect product of D4 and Q16 acting through Inn(D4)64D4:5Q16128,2031
C42.465C23326th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.465C2^3128,2032
C42.466C23327th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.466C2^3128,2033
C42.467C23328th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.467C2^3128,2034
C42.468C23329th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.468C2^3128,2035
C42.469C23330th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.469C2^3128,2036
C42.470C23331st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.470C2^3128,2037
C42.42C2342nd non-split extension by C42 of C23 acting faithfully64C4^2.42C2^3128,2039
C42.43C2343rd non-split extension by C42 of C23 acting faithfully64C4^2.43C2^3128,2040
C42.44C2344th non-split extension by C42 of C23 acting faithfully64C4^2.44C2^3128,2041
C42.47C2347th non-split extension by C42 of C23 acting faithfully64C4^2.47C2^3128,2044
C42.48C2348th non-split extension by C42 of C23 acting faithfully64C4^2.48C2^3128,2045
C42.50C2350th non-split extension by C42 of C23 acting faithfully64C4^2.50C2^3128,2047
C42.51C2351st non-split extension by C42 of C23 acting faithfully64C4^2.51C2^3128,2048
C42.52C2352nd non-split extension by C42 of C23 acting faithfully64C4^2.52C2^3128,2049
C42.55C2355th non-split extension by C42 of C23 acting faithfully64C4^2.55C2^3128,2052
C42.56C2356th non-split extension by C42 of C23 acting faithfully64C4^2.56C2^3128,2053
C42.475C23336th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.475C2^3128,2058
C42.476C23337th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.476C2^3128,2059
C42.477C23338th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.477C2^3128,2060
C42.478C23339th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.478C2^3128,2061
C42.479C23340th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.479C2^3128,2062
C42.480C23341st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.480C2^3128,2063
C42.481C23342nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.481C2^3128,2064
C42.482C23343rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.482C2^3128,2065
D45D82nd semidirect product of D4 and D8 acting through Inn(D4)64D4:5D8128,2066
D49SD163rd semidirect product of D4 and SD16 acting through Inn(D4)64D4:9SD16128,2067
C42.485C23346th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.485C2^3128,2068
C42.486C23347th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.486C2^3128,2069
D46Q162nd semidirect product of D4 and Q16 acting through Inn(D4)64D4:6Q16128,2070
C42.488C23349th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.488C2^3128,2071
C42.489C23350th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.489C2^3128,2072
C42.490C23351st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.490C2^3128,2073
C42.491C23352nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.491C2^3128,2074
C42.57C2357th non-split extension by C42 of C23 acting faithfully64C4^2.57C2^3128,2075
C42.58C2358th non-split extension by C42 of C23 acting faithfully64C4^2.58C2^3128,2076
C42.59C2359th non-split extension by C42 of C23 acting faithfully64C4^2.59C2^3128,2077
C42.60C2360th non-split extension by C42 of C23 acting faithfully64C4^2.60C2^3128,2078
C42.61C2361st non-split extension by C42 of C23 acting faithfully64C4^2.61C2^3128,2079
C42.62C2362nd non-split extension by C42 of C23 acting faithfully64C4^2.62C2^3128,2080
C42.63C2363rd non-split extension by C42 of C23 acting faithfully64C4^2.63C2^3128,2081
C42.64C2364th non-split extension by C42 of C23 acting faithfully64C4^2.64C2^3128,2082
C42.492C23353rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.492C2^3128,2083
C42.493C23354th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.493C2^3128,2084
C42.494C23355th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.494C2^3128,2085
C42.495C23356th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.495C2^3128,2086
C42.496C23357th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.496C2^3128,2087
C42.497C23358th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.497C2^3128,2088
C42.498C23359th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.498C2^3128,2089
Q84D81st semidirect product of Q8 and D8 acting through Inn(Q8)64Q8:4D8128,2090
Q87SD161st semidirect product of Q8 and SD16 acting through Inn(Q8)64Q8:7SD16128,2091
C42.501C23362nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.501C2^3128,2092
C42.502C23363rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.502C2^3128,2093
Q88SD162nd semidirect product of Q8 and SD16 acting through Inn(Q8)64Q8:8SD16128,2094
C42.505C23366th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.505C2^3128,2096
C42.506C23367th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.506C2^3128,2097
C42.507C23368th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.507C2^3128,2098
C42.508C23369th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.508C2^3128,2099
C42.509C23370th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.509C2^3128,2100
C42.510C23371st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.510C2^3128,2101
C42.511C23372nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.511C2^3128,2102
C42.512C23373rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.512C2^3128,2103
C42.513C23374th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.513C2^3128,2104
C42.514C23375th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.514C2^3128,2105
C42.516C23377th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.516C2^3128,2107
C42.517C23378th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.517C2^3128,2108
C42.518C23379th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.518C2^3128,2109
Q8×D8Direct product of Q8 and D864Q8xD8128,2110
Q8×SD16Direct product of Q8 and SD1664Q8xSD16128,2111
D86Q8The semidirect product of D8 and Q8 acting through Inn(D8)64D8:6Q8128,2112
SD164Q8The semidirect product of SD16 and Q8 acting through Inn(SD16)64SD16:4Q8128,2113
D84Q84th semidirect product of D8 and Q8 acting via Q8/C4=C264D8:4Q8128,2116
SD16⋊Q81st semidirect product of SD16 and Q8 acting via Q8/C4=C264SD16:Q8128,2117
SD162Q82nd semidirect product of SD16 and Q8 acting via Q8/C4=C264SD16:2Q8128,2118
SD163Q83rd semidirect product of SD16 and Q8 acting via Q8/C4=C264SD16:3Q8128,2120
D85Q85th semidirect product of D8 and Q8 acting via Q8/C4=C264D8:5Q8128,2121
Q85D82nd semidirect product of Q8 and D8 acting through Inn(Q8)64Q8:5D8128,2123
Q89SD163rd semidirect product of Q8 and SD16 acting through Inn(Q8)64Q8:9SD16128,2124
C42.527C23388th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.527C2^3128,2125
C42.528C23389th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.528C2^3128,2126
C42.530C23391st non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.530C2^3128,2128
C42.72C2372nd non-split extension by C42 of C23 acting faithfully64C4^2.72C2^3128,2129
C42.73C2373rd non-split extension by C42 of C23 acting faithfully64C4^2.73C2^3128,2130
C42.74C2374th non-split extension by C42 of C23 acting faithfully64C4^2.74C2^3128,2131
C42.75C2375th non-split extension by C42 of C23 acting faithfully64C4^2.75C2^3128,2132
C42.531C23392nd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.531C2^3128,2133
C42.532C23393rd non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.532C2^3128,2134
C42.533C23394th non-split extension by C42 of C23 acting via C23/C2=C2264C4^2.533C2^3128,2135
C22×M5(2)Direct product of C22 and M5(2)64C2^2xM5(2)128,2137
C2×D4○C16Direct product of C2 and D4○C1664C2xD4oC16128,2138
C22×D16Direct product of C22 and D1664C2^2xD16128,2140
C22×SD32Direct product of C22 and SD3264C2^2xSD32128,2141
C2×C4○D16Direct product of C2 and C4○D1664C2xC4oD16128,2143
C2×Q32⋊C2Direct product of C2 and Q32⋊C264C2xQ32:C2128,2145
Q8○D16Central product of Q8 and D16644-Q8oD16128,2149
C23×C22⋊C4Direct product of C23 and C22⋊C464C2^3xC2^2:C4128,2151
C22×C42⋊C2Direct product of C22 and C42⋊C264C2^2xC4^2:C2128,2153
D4×C22×C4Direct product of C22×C4 and D464D4xC2^2xC4128,2154
C2×C4×C4○D4Direct product of C2×C4 and C4○D464C2xC4xC4oD4128,2156
C2×C23.32C23Direct product of C2 and C23.32C2364C2xC2^3.32C2^3128,2158
C2×C23.33C23Direct product of C2 and C23.33C2364C2xC2^3.33C2^3128,2159
C4×2- 1+4Direct product of C4 and 2- 1+464C4xES-(2,2)128,2162
C22×C4⋊D4Direct product of C22 and C4⋊D464C2^2xC4:D4128,2164
C22×C22⋊Q8Direct product of C22 and C22⋊Q864C2^2xC2^2:Q8128,2165
C22×C22.D4Direct product of C22 and C22.D464C2^2xC2^2.D4128,2166
C22×C4.4D4Direct product of C22 and C4.4D464C2^2xC4.4D4128,2168
C22×C422C2Direct product of C22 and C422C264C2^2xC4^2:2C2128,2170
C2×C23.36C23Direct product of C2 and C23.36C2364C2xC2^3.36C2^3128,2171
C22×C41D4Direct product of C22 and C41D464C2^2xC4:1D4128,2172
C2×C22.26C24Direct product of C2 and C22.26C2464C2xC2^2.26C2^4128,2174
C2×C23.37C23Direct product of C2 and C23.37C2364C2xC2^3.37C2^3128,2175
C2×C23.38C23Direct product of C2 and C23.38C2364C2xC2^3.38C2^3128,2179
C2×C22.31C24Direct product of C2 and C22.31C2464C2xC2^2.31C2^4128,2180
C2×C22.33C24Direct product of C2 and C22.33C2464C2xC2^2.33C2^4128,2183
C2×C22.34C24Direct product of C2 and C22.34C2464C2xC2^2.34C2^4128,2184
C2×C22.35C24Direct product of C2 and C22.35C2464C2xC2^2.35C2^4128,2185
C2×C22.36C24Direct product of C2 and C22.36C2464C2xC2^2.36C2^4128,2186
C2×C23.41C23Direct product of C2 and C23.41C2364C2xC2^3.41C2^3128,2189
C22.50C2531st central stem extension by C22 of C2564C2^2.50C2^5128,2193
C2×D46D4Direct product of C2 and D46D464C2xD4:6D4128,2196
C2×Q85D4Direct product of C2 and Q85D464C2xQ8:5D4128,2197
C2×D4×Q8Direct product of C2, D4 and Q864C2xD4xQ8128,2198
C2×Q86D4Direct product of C2 and Q86D464C2xQ8:6D4128,2199
C2×C22.46C24Direct product of C2 and C22.46C2464C2xC2^2.46C2^4128,2202
C2×C22.47C24Direct product of C2 and C22.47C2464C2xC2^2.47C2^4128,2203
C2×D43Q8Direct product of C2 and D43Q864C2xD4:3Q8128,2204
C2×C22.49C24Direct product of C2 and C22.49C2464C2xC2^2.49C2^4128,2205
C2×C22.50C24Direct product of C2 and C22.50C2464C2xC2^2.50C2^4128,2206
Q8×C4○D4Direct product of Q8 and C4○D464Q8xC4oD4128,2210
C2×C22.53C24Direct product of C2 and C22.53C2464C2xC2^2.53C2^4128,2211
C22.69C2550th central stem extension by C22 of C2564C2^2.69C2^5128,2212
C22.71C2552nd central stem extension by C22 of C2564C2^2.71C2^5128,2214
C22.72C2553rd central stem extension by C22 of C2564C2^2.72C2^5128,2215
C4⋊2- 1+4The semidirect product of C4 and 2- 1+4 acting via 2- 1+4/C2×Q8=C264C4:ES-(2,2)128,2229
C22.88C2569th central stem extension by C22 of C2564C2^2.88C2^5128,2231
C22.91C2572nd central stem extension by C22 of C2564C2^2.91C2^5128,2234
C22.92C2573rd central stem extension by C22 of C2564C2^2.92C2^5128,2235
C22.93C2574th central stem extension by C22 of C2564C2^2.93C2^5128,2236
C22.96C2577th central stem extension by C22 of C2564C2^2.96C2^5128,2239
C22.98C2579th central stem extension by C22 of C2564C2^2.98C2^5128,2241
C22.100C2581st central stem extension by C22 of C2564C2^2.100C2^5128,2243
C22.101C2582nd central stem extension by C22 of C2564C2^2.101C2^5128,2244
C22.104C2585th central stem extension by C22 of C2564C2^2.104C2^5128,2247
C22.105C2586th central stem extension by C22 of C2564C2^2.105C2^5128,2248
C22.106C2587th central stem extension by C22 of C2564C2^2.106C2^5128,2249
C22.107C2588th central stem extension by C22 of C2564C2^2.107C2^5128,2250
C22.111C2592nd central stem extension by C22 of C2564C2^2.111C2^5128,2254
C23.146C2446th non-split extension by C23 of C24 acting via C24/C23=C264C2^3.146C2^4128,2255
C22.113C2594th central stem extension by C22 of C2564C2^2.113C2^5128,2256
C2×C22.56C24Direct product of C2 and C22.56C2464C2xC2^2.56C2^4128,2259
C2×C22.57C24Direct product of C2 and C22.57C2464C2xC2^2.57C2^4128,2260
C22.120C25101st central stem extension by C22 of C2564C2^2.120C2^5128,2263
C22.133C25114th central stem extension by C22 of C2564C2^2.133C2^5128,2276
C22.136C25117th central stem extension by C22 of C2564C2^2.136C2^5128,2279
C22.137C25118th central stem extension by C22 of C2564C2^2.137C2^5128,2280
C22.139C25120th central stem extension by C22 of C2564C2^2.139C2^5128,2282
C22.141C25122nd central stem extension by C22 of C2564C2^2.141C2^5128,2284
C22.142C25123rd central stem extension by C22 of C2564C2^2.142C2^5128,2285
C22.143C25124th central stem extension by C22 of C2564C2^2.143C2^5128,2286
C22.144C25125th central stem extension by C22 of C2564C2^2.144C2^5128,2287
C22.145C25126th central stem extension by C22 of C2564C2^2.145C2^5128,2288
C22.146C25127th central stem extension by C22 of C2564C2^2.146C2^5128,2289
C22.148C25129th central stem extension by C22 of C2564C2^2.148C2^5128,2291
C22.152C25133rd central stem extension by C22 of C2564C2^2.152C2^5128,2295
C22.154C25135th central stem extension by C22 of C2564C2^2.154C2^5128,2297
C22.156C25137th central stem extension by C22 of C2564C2^2.156C2^5128,2299
C23×M4(2)Direct product of C23 and M4(2)64C2^3xM4(2)128,2302
C22×C8○D4Direct product of C22 and C8○D464C2^2xC8oD4128,2303
C23×D8Direct product of C23 and D864C2^3xD8128,2306
C23×SD16Direct product of C23 and SD1664C2^3xSD16128,2307
C22×C4○D8Direct product of C22 and C4○D864C2^2xC4oD8128,2309
C22×C8.C22Direct product of C22 and C8.C2264C2^2xC8.C2^2128,2311
C2×Q8○D8Direct product of C2 and Q8○D864C2xQ8oD8128,2315
D4×C24Direct product of C24 and D464D4xC2^4128,2320
C23×C4○D4Direct product of C23 and C4○D464C2^3xC4oD4128,2322
C22×2- 1+4Direct product of C22 and 2- 1+464C2^2xES-(2,2)128,2324

Groups of order 192

dρLabelID
C2.U2(𝔽3)The central extension by C2 of U2(𝔽3)64C2.U(2,3)192,183
C8.7S42nd central extension by C8 of S4642C8.7S4192,187
C8×SL2(𝔽3)Direct product of C8 and SL2(𝔽3)64C8xSL(2,3)192,200
C16.A4The central extension by C16 of A4642C16.A4192,204
Q8⋊Dic6The semidirect product of Q8 and Dic6 acting via Dic6/C4=S364Q8:Dic6192,945
C4×CSU2(𝔽3)Direct product of C4 and CSU2(𝔽3)64C4xCSU(2,3)192,946
CSU2(𝔽3)⋊C41st semidirect product of CSU2(𝔽3) and C4 acting via C4/C2=C264CSU(2,3):C4192,947
Q8.Dic61st non-split extension by Q8 of Dic6 acting via Dic6/C4=S364Q8.Dic6192,948
Q8.D121st non-split extension by Q8 of D12 acting via D12/C4=S364Q8.D12192,949
SL2(𝔽3)⋊Q82nd semidirect product of SL2(𝔽3) and Q8 acting via Q8/C4=C264SL(2,3):Q8192,950
C8.S42nd non-split extension by C8 of S4 acting via S4/A4=C2644-C8.S4192,962
C2×Q8⋊Dic3Direct product of C2 and Q8⋊Dic364C2xQ8:Dic3192,977
C4.A4⋊C44th semidirect product of C4.A4 and C4 acting via C4/C2=C264C4.A4:C4192,983
SL2(𝔽3).D42nd non-split extension by SL2(𝔽3) of D4 acting via D4/C22=C264SL(2,3).D4192,984
(C2×C4).S415th non-split extension by C2×C4 of S4 acting via S4/A4=C264(C2xC4).S4192,985
C2×C4×SL2(𝔽3)Direct product of C2×C4 and SL2(𝔽3)64C2xC4xSL(2,3)192,996
C4×C4.A4Direct product of C4 and C4.A464C4xC4.A4192,997
C4○D4⋊C12The semidirect product of C4○D4 and C12 acting via C12/C2=C664C4oD4:C12192,999
SL2(𝔽3)⋊6D42nd semidirect product of SL2(𝔽3) and D4 acting through Inn(SL2(𝔽3))64SL(2,3):6D4192,1005
SL2(𝔽3)⋊3Q8The semidirect product of SL2(𝔽3) and Q8 acting through Inn(SL2(𝔽3))64SL(2,3):3Q8192,1006
Q8×SL2(𝔽3)Direct product of Q8 and SL2(𝔽3)64Q8xSL(2,3)192,1007
C2×C8.A4Direct product of C2 and C8.A464C2xC8.A4192,1012
Q8⋊SL2(𝔽3)The semidirect product of Q8 and SL2(𝔽3) acting via SL2(𝔽3)/Q8=C364Q8:SL(2,3)192,1022
C22×CSU2(𝔽3)Direct product of C22 and CSU2(𝔽3)64C2^2xCSU(2,3)192,1474
C2×C4.S4Direct product of C2 and C4.S464C2xC4.S4192,1479
C23×SL2(𝔽3)Direct product of C23 and SL2(𝔽3)64C2^3xSL(2,3)192,1498
C22×C4.A4Direct product of C22 and C4.A464C2^2xC4.A4192,1500

Groups of order 320

dρLabelID
C22.58C24⋊C5The semidirect product of C22.58C24 and C5 acting faithfully64C2^2.58C2^4:C5320,1012
2- 1+4.D5The non-split extension by 2- 1+4 of D5 acting faithfully644-ES-(2,2).D5320,1581
C2×2- 1+4⋊C5Direct product of C2 and 2- 1+4⋊C564C2xES-(2,2):C5320,1585
2- 1+4.C10The non-split extension by 2- 1+4 of C10 acting via C10/C2=C5644ES-(2,2).C10320,1586

On 65 points

Groups of order 65

dρLabelID
C65Cyclic group651C6565,1

Groups of order 130

dρLabelID
D5×C13Direct product of C13 and D5652D5xC13130,1
C5×D13Direct product of C5 and D13652C5xD13130,2
D65Dihedral group652+D65130,3

Groups of order 195

dρLabelID
C5×C13⋊C3Direct product of C5 and C13⋊C3653C5xC13:C3195,1

Groups of order 260

dρLabelID
C5×C13⋊C4Direct product of C5 and C13⋊C4654C5xC13:C4260,5
C65⋊C43rd semidirect product of C65 and C4 acting faithfully654C65:C4260,6
C13×F5Direct product of C13 and F5654C13xF5260,7
C133F5The semidirect product of C13 and F5 acting via F5/D5=C2654C13:3F5260,8
C13⋊F51st semidirect product of C13 and F5 acting via F5/C5=C4654+C13:F5260,9
C652C42nd semidirect product of C65 and C4 acting faithfully654+C65:2C4260,10
D5×D13Direct product of D5 and D13654+D5xD13260,11

Groups of order 390

dρLabelID
C5×C13⋊C6Direct product of C5 and C13⋊C6656C5xC13:C6390,1
D5×C13⋊C3Direct product of D5 and C13⋊C3656D5xC13:C3390,2
D65⋊C3The semidirect product of D65 and C3 acting faithfully656+D65:C3390,3

On 66 points

Groups of order 66

dρLabelID
C66Cyclic group661C6666,4

Groups of order 132

dρLabelID
C6×D11Direct product of C6 and D11662C6xD11132,7
S3×C22Direct product of C22 and S3662S3xC22132,8
D66Dihedral group; = C2×D33662+D66132,9

Groups of order 198

dρLabelID
S3×C33Direct product of C33 and S3662S3xC33198,6
C3×D33Direct product of C3 and D33662C3xD33198,7

Groups of order 264

dρLabelID
C2×S3×D11Direct product of C2, S3 and D11664+C2xS3xD11264,34
A4×C22Direct product of C22 and A4663A4xC22264,35

Groups of order 330

dρLabelID
C6×C11⋊C5Direct product of C6 and C11⋊C5665C6xC11:C5330,4

Groups of order 396

dρLabelID
C11×C32⋊C4Direct product of C11 and C32⋊C4664C11xC3^2:C4396,17
C32⋊Dic11The semidirect product of C32 and Dic11 acting via Dic11/C11=C4664C3^2:Dic11396,18
C3×S3×D11Direct product of C3, S3 and D11664C3xS3xD11396,19
S32×C11Direct product of C11, S3 and S3664S3^2xC11396,21
S3×D33Direct product of S3 and D33664+S3xD33396,22
D33⋊S3The semidirect product of D33 and S3 acting via S3/C3=C2664D33:S3396,23

On 67 points

Groups of order 67

dρLabelID
C67Cyclic group671C6767,1

Groups of order 134

dρLabelID
D67Dihedral group672+D67134,1

Groups of order 201

dρLabelID
C67⋊C3The semidirect product of C67 and C3 acting faithfully673C67:C3201,1

Groups of order 402

dρLabelID
C67⋊C6The semidirect product of C67 and C6 acting faithfully676+C67:C6402,1

On 68 points

Groups of order 68

dρLabelID
Dic17Dicyclic group; = C172C4682-Dic1768,1
C68Cyclic group681C6868,2
C2×C34Abelian group of type [2,34]68C2xC3468,5

Groups of order 136

dρLabelID
C4×D17Direct product of C4 and D17682C4xD17136,5
D68Dihedral group682+D68136,6
C17⋊D4The semidirect product of C17 and D4 acting via D4/C22=C2682C17:D4136,8
D4×C17Direct product of C17 and D4682D4xC17136,10
C22×D17Direct product of C22 and D1768C2^2xD17136,14

Groups of order 204

dρLabelID
A4×C17Direct product of C17 and A4683A4xC17204,8

Groups of order 272

dρLabelID
C4×C17⋊C4Direct product of C4 and C17⋊C4684C4xC17:C4272,31
C68⋊C41st semidirect product of C68 and C4 acting faithfully684C68:C4272,32
D17.D4The non-split extension by D17 of D4 acting via D4/C22=C2684+D17.D4272,35
D4×D17Direct product of D4 and D17684+D4xD17272,40
C22×C17⋊C4Direct product of C22 and C17⋊C468C2^2xC17:C4272,52

Groups of order 408

dρLabelID
C17×S4Direct product of C17 and S4683C17xS4408,36
C17⋊S4The semidirect product of C17 and S4 acting via S4/A4=C2686+C17:S4408,37
A4×D17Direct product of A4 and D17686+A4xD17408,38

On 69 points

Groups of order 69

dρLabelID
C69Cyclic group691C6969,1

Groups of order 138

dρLabelID
S3×C23Direct product of C23 and S3692S3xC23138,1
C3×D23Direct product of C3 and D23692C3xD23138,2
D69Dihedral group692+D69138,3

Groups of order 276

dρLabelID
S3×D23Direct product of S3 and D23694+S3xD23276,5

On 70 points

Groups of order 70

dρLabelID
C70Cyclic group701C7070,4

Groups of order 140

dρLabelID
C10×D7Direct product of C10 and D7702C10xD7140,8
D5×C14Direct product of C14 and D5702D5xC14140,9
D70Dihedral group; = C2×D35702+D70140,10

Groups of order 210

dρLabelID
C10×C7⋊C3Direct product of C10 and C7⋊C3703C10xC7:C3210,4

Groups of order 280

dρLabelID
C14×F5Direct product of C14 and F5704C14xF5280,34
C2×C7⋊F5Direct product of C2 and C7⋊F5704C2xC7:F5280,35
C2×D5×D7Direct product of C2, D5 and D7704+C2xD5xD7280,36

Groups of order 350

dρLabelID
D5×C35Direct product of C35 and D5702D5xC35350,6
C5×D35Direct product of C5 and D35702C5xD35350,7

Groups of order 420

dρLabelID
C10×F7Direct product of C10 and F7706C10xF7420,17
C2×D5×C7⋊C3Direct product of C2, D5 and C7⋊C3706C2xD5xC7:C3420,18
C2×C5⋊F7Direct product of C2 and C5⋊F7706+C2xC5:F7420,19

Groups of order 490

dρLabelID
D7×C35Direct product of C35 and D7702D7xC35490,5
C7×D35Direct product of C7 and D35702C7xD35490,8

On 71 points

Groups of order 71

dρLabelID
C71Cyclic group711C7171,1

Groups of order 142

dρLabelID
D71Dihedral group712+D71142,1

Groups of order 355

dρLabelID
C71⋊C5The semidirect product of C71 and C5 acting faithfully715C71:C5355,1

Groups of order 497

dρLabelID
C71⋊C7The semidirect product of C71 and C7 acting faithfully717C71:C7497,1

On 72 points

Groups of order 72

dρLabelID
C9⋊C8The semidirect product of C9 and C8 acting via C8/C4=C2722C9:C872,1
C72Cyclic group721C7272,2
Q8⋊C9The semidirect product of Q8 and C9 acting via C9/C3=C3722Q8:C972,3
Dic18Dicyclic group; = C9Q8722-Dic1872,4
C2×Dic9Direct product of C2 and Dic972C2xDic972,7
C2×C36Abelian group of type [2,36]72C2xC3672,9
Q8×C9Direct product of C9 and Q8722Q8xC972,11
C324C82nd semidirect product of C32 and C8 acting via C8/C4=C272C3^2:4C872,13
C3×C24Abelian group of type [3,24]72C3xC2472,14
C22×C18Abelian group of type [2,2,18]72C2^2xC1872,18
C324Q82nd semidirect product of C32 and Q8 acting via Q8/C4=C272C3^2:4Q872,31
C2×C3⋊Dic3Direct product of C2 and C3⋊Dic372C2xC3:Dic372,34
C6×C12Abelian group of type [6,12]72C6xC1272,36
Q8×C32Direct product of C32 and Q872Q8xC3^272,38
C2×C62Abelian group of type [2,6,6]72C2xC6^272,50

Groups of order 144

dρLabelID
C8×D9Direct product of C8 and D9722C8xD9144,5
C8⋊D93rd semidirect product of C8 and D9 acting via D9/C9=C2722C8:D9144,6
C72⋊C22nd semidirect product of C72 and C2 acting faithfully722C72:C2144,7
D72Dihedral group722+D72144,8
C4.Dic9The non-split extension by C4 of Dic9 acting via Dic9/C18=C2722C4.Dic9144,10
D18⋊C4The semidirect product of D18 and C4 acting via C4/C2=C272D18:C4144,14
D4.D9The non-split extension by D4 of D9 acting via D9/C9=C2724-D4.D9144,15
D4⋊D9The semidirect product of D4 and D9 acting via D9/C9=C2724+D4:D9144,16
Q82D9The semidirect product of Q8 and D9 acting via D9/C9=C2724+Q8:2D9144,18
C18.D47th non-split extension by C18 of D4 acting via D4/C22=C272C18.D4144,19
C9×C22⋊C4Direct product of C9 and C22⋊C472C9xC2^2:C4144,21
C9×M4(2)Direct product of C9 and M4(2)722C9xM4(2)144,24
C9×D8Direct product of C9 and D8722C9xD8144,25
C9×SD16Direct product of C9 and SD16722C9xSD16144,26
Q8⋊D9The semidirect product of Q8 and D9 acting via D9/C3=S3724+Q8:D9144,32
Q8.C18The non-split extension by Q8 of C18 acting via C18/C6=C3722Q8.C18144,36
C2×C4×D9Direct product of C2×C4 and D972C2xC4xD9144,38
C2×D36Direct product of C2 and D3672C2xD36144,39
D365C2The semidirect product of D36 and C2 acting through Inn(D36)722D36:5C2144,40
D42D9The semidirect product of D4 and D9 acting through Inn(D4)724-D4:2D9144,42
Q8×D9Direct product of Q8 and D9724-Q8xD9144,43
Q83D9The semidirect product of Q8 and D9 acting through Inn(Q8)724+Q8:3D9144,44
C2×C9⋊D4Direct product of C2 and C9⋊D472C2xC9:D4144,46
D4×C18Direct product of C18 and D472D4xC18144,48
C9×C4○D4Direct product of C9 and C4○D4722C9xC4oD4144,50
C8×C3⋊S3Direct product of C8 and C3⋊S372C8xC3:S3144,85
C24⋊S35th semidirect product of C24 and S3 acting via S3/C3=C272C24:S3144,86
C242S32nd semidirect product of C24 and S3 acting via S3/C3=C272C24:2S3144,87
C325D82nd semidirect product of C32 and D8 acting via D8/C8=C272C3^2:5D8144,88
C12.58D619th non-split extension by C12 of D6 acting via D6/C6=C272C12.58D6144,91
C6.11D1211st non-split extension by C6 of D12 acting via D12/C12=C272C6.11D12144,95
C327D82nd semidirect product of C32 and D8 acting via D8/D4=C272C3^2:7D8144,96
C329SD162nd semidirect product of C32 and SD16 acting via SD16/D4=C272C3^2:9SD16144,97
C3211SD162nd semidirect product of C32 and SD16 acting via SD16/Q8=C272C3^2:11SD16144,98
C625C43rd semidirect product of C62 and C4 acting via C4/C2=C272C6^2:5C4144,100
C32×C22⋊C4Direct product of C32 and C22⋊C472C3^2xC2^2:C4144,102
C32×M4(2)Direct product of C32 and M4(2)72C3^2xM4(2)144,105
C32×D8Direct product of C32 and D872C3^2xD8144,106
C32×SD16Direct product of C32 and SD1672C3^2xSD16144,107
C23×D9Direct product of C23 and D972C2^3xD9144,112
C2×C4×C3⋊S3Direct product of C2×C4 and C3⋊S372C2xC4xC3:S3144,169
C2×C12⋊S3Direct product of C2 and C12⋊S372C2xC12:S3144,170
C12.59D620th non-split extension by C12 of D6 acting via D6/C6=C272C12.59D6144,171
C12.D624th non-split extension by C12 of D6 acting via D6/C3=C2272C12.D6144,173
Q8×C3⋊S3Direct product of Q8 and C3⋊S372Q8xC3:S3144,174
C12.26D626th non-split extension by C12 of D6 acting via D6/C3=C2272C12.26D6144,175
C2×C327D4Direct product of C2 and C327D472C2xC3^2:7D4144,177
D4×C3×C6Direct product of C3×C6 and D472D4xC3xC6144,179
C32×C4○D4Direct product of C32 and C4○D472C3^2xC4oD4144,181
C23×C3⋊S3Direct product of C23 and C3⋊S372C2^3xC3:S3144,196

Groups of order 216

dρLabelID
C3×C9⋊C8Direct product of C3 and C9⋊C8722C3xC9:C8216,12
C9×C3⋊C8Direct product of C9 and C3⋊C8722C9xC3:C8216,13
He33C81st semidirect product of He3 and C8 acting via C8/C4=C2726He3:3C8216,14
C9⋊C24The semidirect product of C9 and C24 acting via C24/C4=C6726C9:C24216,15
He34C82nd semidirect product of He3 and C8 acting via C8/C4=C2723He3:4C8216,17
C8×He3Direct product of C8 and He3723C8xHe3216,19
C8×3- 1+2Direct product of C8 and 3- 1+2723C8xES-(3,1)216,20
He32C8The semidirect product of He3 and C8 acting via C8/C2=C4723He3:2C8216,25
C9⋊Dic6The semidirect product of C9 and Dic6 acting via Dic6/Dic3=C2724-C9:Dic6216,26
Dic3×D9Direct product of Dic3 and D9724-Dic3xD9216,27
S3×Dic9Direct product of S3 and Dic9724-S3xDic9216,30
D6⋊D91st semidirect product of D6 and D9 acting via D9/C9=C2724-D6:D9216,31
He32Q8The semidirect product of He3 and Q8 acting via Q8/C2=C22726-He3:2Q8216,33
C9×SL2(𝔽3)Direct product of C9 and SL2(𝔽3)722C9xSL(2,3)216,38
C18.A4The non-split extension by C18 of A4 acting via A4/C22=C3726C18.A4216,39
Q8⋊3- 1+2The semidirect product of Q8 and 3- 1+2 acting via 3- 1+2/C32=C3726Q8:ES-(3,1)216,41
Q8⋊He3The semidirect product of Q8 and He3 acting via He3/C32=C3726Q8:He3216,42
C3×Dic18Direct product of C3 and Dic18722C3xDic18216,43
C9×Dic6Direct product of C9 and Dic6722C9xDic6216,44
C12×D9Direct product of C12 and D9722C12xD9216,45
C3×D36Direct product of C3 and D36722C3xD36216,46
S3×C36Direct product of C36 and S3722S3xC36216,47
C9×D12Direct product of C9 and D12722C9xD12216,48
He33Q81st semidirect product of He3 and Q8 acting via Q8/C4=C2726-He3:3Q8216,49
C36.C61st non-split extension by C36 of C6 acting faithfully726-C36.C6216,52
C6×Dic9Direct product of C6 and Dic972C6xDic9216,55
Dic3×C18Direct product of C18 and Dic372Dic3xC18216,56
C2×C32⋊C12Direct product of C2 and C32⋊C1272C2xC3^2:C12216,59
C2×C9⋊C12Direct product of C2 and C9⋊C1272C2xC9:C12216,61
He34Q82nd semidirect product of He3 and Q8 acting via Q8/C4=C2726He3:4Q8216,66
C2×He33C4Direct product of C2 and He33C472C2xHe3:3C4216,71
C2×C4×He3Direct product of C2×C4 and He372C2xC4xHe3216,74
C2×C4×3- 1+2Direct product of C2×C4 and 3- 1+272C2xC4xES-(3,1)216,75
Q8×He3Direct product of Q8 and He3726Q8xHe3216,80
Q8×3- 1+2Direct product of Q8 and 3- 1+2726Q8xES-(3,1)216,81
C32×C3⋊C8Direct product of C32 and C3⋊C872C3^2xC3:C8216,82
C3×C324C8Direct product of C3 and C324C872C3xC3^2:4C8216,83
C2×C6×D9Direct product of C2×C6 and D972C2xC6xD9216,108
S3×C2×C18Direct product of C2×C18 and S372S3xC2xC18216,109
C23×He3Direct product of C23 and He372C2^3xHe3216,115
C23×3- 1+2Direct product of C23 and 3- 1+272C2^3xES-(3,1)216,116
S3×C3⋊Dic3Direct product of S3 and C3⋊Dic372S3xC3:Dic3216,124
Dic3×C3⋊S3Direct product of Dic3 and C3⋊S372Dic3xC3:S3216,125
C336D43rd semidirect product of C33 and D4 acting via D4/C2=C2272C3^3:6D4216,127
C334Q82nd semidirect product of C33 and Q8 acting via Q8/C2=C2272C3^3:4Q8216,130
C32×SL2(𝔽3)Direct product of C32 and SL2(𝔽3)72C3^2xSL(2,3)216,134
C32×Dic6Direct product of C32 and Dic672C3^2xDic6216,135
S3×C3×C12Direct product of C3×C12 and S372S3xC3xC12216,136
C32×D12Direct product of C32 and D1272C3^2xD12216,137
Dic3×C3×C6Direct product of C3×C6 and Dic372Dic3xC3xC6216,138
C3×C324Q8Direct product of C3 and C324Q872C3xC3^2:4Q8216,140
C12×C3⋊S3Direct product of C12 and C3⋊S372C12xC3:S3216,141
C3×C12⋊S3Direct product of C3 and C12⋊S372C3xC12:S3216,142
C6×C3⋊Dic3Direct product of C6 and C3⋊Dic372C6xC3:Dic3216,143
S3×C62Direct product of C62 and S372S3xC6^2216,174
C2×C6×C3⋊S3Direct product of C2×C6 and C3⋊S372C2xC6xC3:S3216,175

Groups of order 288

dρLabelID
C424D93rd semidirect product of C42 and D9 acting via D9/C9=C2722C4^2:4D9288,12
C22.D361st non-split extension by C22 of D36 acting via D36/D18=C2724C2^2.D36288,13
C36.48D44th non-split extension by C36 of D4 acting via D4/C22=C2724+C36.48D4288,31
Dic18⋊C44th semidirect product of Dic18 and C4 acting via C4/C2=C2724Dic18:C4288,32
C36.D47th non-split extension by C36 of D4 acting via D4/C2=C22724C36.D4288,39
C232Dic9The semidirect product of C23 and Dic9 acting via Dic9/C9=C4724C2^3:2Dic9288,41
Q83Dic92nd semidirect product of Q8 and Dic9 acting via Dic9/C18=C2724Q8:3Dic9288,44
C9×C23⋊C4Direct product of C9 and C23⋊C4724C9xC2^3:C4288,49
C9×C4.D4Direct product of C9 and C4.D4724C9xC4.D4288,50
C9×C4≀C2Direct product of C9 and C4≀C2722C9xC4wrC2288,54
C12.S48th non-split extension by C12 of S4 acting via S4/A4=C2726C12.S4288,68
C12.9S49th non-split extension by C12 of S4 acting via S4/A4=C2724C12.9S4288,70
C42⋊C181st semidirect product of C42 and C18 acting via C18/C3=C6726C4^2:C18288,74
C8×C3.A4Direct product of C8 and C3.A4723C8xC3.A4288,76
C22⋊C4×D9Direct product of C22⋊C4 and D972C2^2:C4xD9288,90
C223D36The semidirect product of C22 and D36 acting via D36/D18=C272C2^2:3D36288,92
M4(2)×D9Direct product of M4(2) and D9724M4(2)xD9288,116
C8⋊D181st semidirect product of C8 and D18 acting via D18/C9=C22724+C8:D18288,118
D8×D9Direct product of D8 and D9724+D8xD9288,120
D8⋊D92nd semidirect product of D8 and D9 acting via D9/C9=C2724D8:D9288,121
SD16×D9Direct product of SD16 and D9724SD16xD9288,123
D72⋊C26th semidirect product of D72 and C2 acting faithfully724+D72:C2288,124
D366C224th semidirect product of D36 and C22 acting via C22/C2=C2724D36:6C2^2288,143
C232D181st semidirect product of C23 and D18 acting via D18/C9=C2272C2^3:2D18288,147
D4⋊D182nd semidirect product of D4 and D18 acting via D18/C18=C2724+D4:D18288,160
C244D91st semidirect product of C24 and D9 acting via D9/C9=C272C2^4:4D9288,163
C9×C22≀C2Direct product of C9 and C22≀C272C9xC2^2wrC2288,170
C9×C8⋊C22Direct product of C9 and C8⋊C22724C9xC8:C2^2288,186
C122⋊C27th semidirect product of C122 and C2 acting faithfully72C12^2:C2288,280
C62.110D415th non-split extension by C62 of D4 acting via D4/C22=C272C6^2.110D4288,281
C12.19D1219th non-split extension by C12 of D12 acting via D12/C6=C2272C12.19D12288,298
C62.37D421st non-split extension by C62 of D4 acting via D4/C2=C2272C6^2.37D4288,300
(C6×D4).S311st non-split extension by C6×D4 of S3 acting via S3/C3=C272(C6xD4).S3288,308
C62.38D422nd non-split extension by C62 of D4 acting via D4/C2=C2272C6^2.38D4288,309
C62.39D423rd non-split extension by C62 of D4 acting via D4/C2=C2272C6^2.39D4288,312
C32×C23⋊C4Direct product of C32 and C23⋊C472C3^2xC2^3:C4288,317
C32×C4.D4Direct product of C32 and C4.D472C3^2xC4.D4288,318
C32×C4≀C2Direct product of C32 and C4≀C272C3^2xC4wrC2288,322
C12.1S41st non-split extension by C12 of S4 acting via S4/A4=C2726-C12.1S4288,332
C12.4S44th non-split extension by C12 of S4 acting via S4/A4=C2724+C12.4S4288,340
C2×C6.S4Direct product of C2 and C6.S472C2xC6.S4288,341
C2×C4×C3.A4Direct product of C2×C4 and C3.A472C2xC4xC3.A4288,343
Q8×C3.A4Direct product of Q8 and C3.A4726Q8xC3.A4288,346
2+ 1+4⋊C91st semidirect product of 2+ 1+4 and C9 acting via C9/C3=C3724ES+(2,2):C9288,348
C22⋊(Q8⋊C9)The semidirect product of C22 and Q8⋊C9 acting via Q8⋊C9/C3×Q8=C3726C2^2:(Q8:C9)288,350
2+ 1+42C92nd semidirect product of 2+ 1+4 and C9 acting via C9/C3=C3724ES+(2,2):2C9288,351
C2×D4×D9Direct product of C2, D4 and D972C2xD4xD9288,356
D46D182nd semidirect product of D4 and D18 acting through Inn(D4)724D4:6D18288,358
C4○D4×D9Direct product of C4○D4 and D9724C4oD4xD9288,362
D48D184th semidirect product of D4 and D18 acting through Inn(D4)724+D4:8D18288,363
C9×2+ 1+4Direct product of C9 and 2+ 1+4724C9xES+(2,2)288,371
C3×A4⋊C8Direct product of C3 and A4⋊C8723C3xA4:C8288,398
C3×U2(𝔽3)Direct product of C3 and U2(𝔽3)722C3xU(2,3)288,400
C12.12S412nd non-split extension by C12 of S4 acting via S4/A4=C2726C12.12S4288,402
C3⋊U2(𝔽3)The semidirect product of C3 and U2(𝔽3) acting via U2(𝔽3)/C4.A4=C2724C3:U(2,3)288,404
A4×C3⋊C8Direct product of A4 and C3⋊C8726A4xC3:C8288,408
A4×C24Direct product of C24 and A4723A4xC24288,637
C22⋊C4×C3⋊S3Direct product of C22⋊C4 and C3⋊S372C2^2:C4xC3:S3288,737
C6212D49th semidirect product of C62 and D4 acting via D4/C2=C2272C6^2:12D4288,739
M4(2)×C3⋊S3Direct product of M4(2) and C3⋊S372M4(2)xC3:S3288,763
C243D63rd semidirect product of C24 and D6 acting via D6/C3=C2272C24:3D6288,765
D8×C3⋊S3Direct product of D8 and C3⋊S372D8xC3:S3288,767
C248D68th semidirect product of C24 and D6 acting via D6/C3=C2272C24:8D6288,768
SD16×C3⋊S3Direct product of SD16 and C3⋊S372SD16xC3:S3288,770
C247D67th semidirect product of C24 and D6 acting via D6/C3=C2272C24:7D6288,771
C62.131D436th non-split extension by C62 of D4 acting via D4/C22=C272C6^2.131D4288,789
C6213D410th semidirect product of C62 and D4 acting via D4/C2=C2272C6^2:13D4288,794
C62.73D457th non-split extension by C62 of D4 acting via D4/C2=C2272C6^2.73D4288,806
C6224D43rd semidirect product of C62 and D4 acting via D4/C22=C272C6^2:24D4288,810
C32×C22≀C2Direct product of C32 and C22≀C272C3^2xC2^2wrC2288,817
C32×C8⋊C22Direct product of C32 and C8⋊C2272C3^2xC8:C2^2288,833
C23×C3.A4Direct product of C23 and C3.A472C2^3xC3.A4288,837
Dic3.S43rd non-split extension by Dic3 of S4 acting via S4/A4=C2726-Dic3.S4288,852
C3×A4⋊Q8Direct product of C3 and A4⋊Q8726C3xA4:Q8288,896
C6×A4⋊C4Direct product of C6 and A4⋊C472C6xA4:C4288,905
A4⋊Dic6The semidirect product of A4 and Dic6 acting via Dic6/C12=C2726-A4:Dic6288,907
C2×C6.7S4Direct product of C2 and C6.7S472C2xC6.7S4288,916
A4×Dic6Direct product of A4 and Dic6726-A4xDic6288,918
Dic6.A4The non-split extension by Dic6 of A4 acting through Inn(Dic6)724+Dic6.A4288,924
C2×Dic3×A4Direct product of C2, Dic3 and A472C2xDic3xA4288,927
A4×C2×C12Direct product of C2×C12 and A472A4xC2xC12288,979
C3×Q8×A4Direct product of C3, Q8 and A4726C3xQ8xA4288,982
C3×Q8.A4Direct product of C3 and Q8.A4724C3xQ8.A4288,984
C3×Q8⋊A4Direct product of C3 and Q8⋊A4726C3xQ8:A4288,986
C2×D4×C3⋊S3Direct product of C2, D4 and C3⋊S372C2xD4xC3:S3288,1007
C3282+ 1+42nd semidirect product of C32 and 2+ 1+4 acting via 2+ 1+4/C2×D4=C272C3^2:8ES+(2,2)288,1009
C4○D4×C3⋊S3Direct product of C4○D4 and C3⋊S372C4oD4xC3:S3288,1013
C62.154C23149th non-split extension by C62 of C23 acting via C23/C2=C2272C6^2.154C2^3288,1014
C32×2+ 1+4Direct product of C32 and 2+ 1+472C3^2xES+(2,2)288,1022
A4×C22×C6Direct product of C22×C6 and A472A4xC2^2xC6288,1041

Groups of order 360

dρLabelID
C3×SL2(𝔽5)Direct product of C3 and SL2(𝔽5)722C3xSL(2,5)360,51

Groups of order 432

dρLabelID
C36.38D69th non-split extension by C36 of D6 acting via D6/S3=C2724C36.38D6432,59
C36.40D611st non-split extension by C36 of D6 acting via D6/S3=C2724C36.40D6432,61
C6.D362nd non-split extension by C6 of D36 acting via D36/D18=C2724+C6.D36432,63
C3⋊D72The semidirect product of C3 and D72 acting via D72/D36=C2724+C3:D72432,64
C9⋊D24The semidirect product of C9 and D24 acting via D24/D12=C2724+C9:D24432,69
C18.D123rd non-split extension by C18 of D12 acting via D12/D6=C2724+C18.D12432,73
C32⋊C6⋊C8The semidirect product of C32⋊C6 and C8 acting via C8/C4=C2726C3^2:C6:C8432,76
He3⋊M4(2)1st semidirect product of He3 and M4(2) acting via M4(2)/C4=C22726He3:M4(2)432,77
He33SD161st semidirect product of He3 and SD16 acting via SD16/C4=C22726He3:3SD16432,78
He32D81st semidirect product of He3 and D8 acting via D8/C4=C22726+He3:2D8432,79
C12.89S329th non-split extension by C12 of S32 acting via S32/C3⋊S3=C2726C12.89S3^2432,81
He33M4(2)2nd semidirect product of He3 and M4(2) acting via M4(2)/C4=C22726He3:3M4(2)432,82
He33D82nd semidirect product of He3 and D8 acting via D8/C4=C227212+He3:3D8432,83
He34SD162nd semidirect product of He3 and SD16 acting via SD16/C4=C227212-He3:4SD16432,84
He35SD163rd semidirect product of He3 and SD16 acting via SD16/C4=C227212+He3:5SD16432,85
C6.18D367th non-split extension by C6 of D36 acting via D36/D18=C272C6.18D36432,92
C62.4D64th non-split extension by C62 of D6 acting faithfully72C6^2.4D6432,97
C62.5D65th non-split extension by C62 of D6 acting faithfully72C6^2.5D6432,98
C8×C32⋊C6Direct product of C8 and C32⋊C6726C8xC3^2:C6432,115
He35M4(2)1st semidirect product of He3 and M4(2) acting via M4(2)/C8=C2726He3:5M4(2)432,116
He36SD161st semidirect product of He3 and SD16 acting via SD16/C8=C2726He3:6SD16432,117
He34D81st semidirect product of He3 and D8 acting via D8/C8=C2726+He3:4D8432,118
C8×C9⋊C6Direct product of C8 and C9⋊C6726C8xC9:C6432,120
C72⋊C64th semidirect product of C72 and C6 acting faithfully726C72:C6432,121
C722C62nd semidirect product of C72 and C6 acting faithfully726C72:2C6432,122
D72⋊C3The semidirect product of D72 and C3 acting faithfully726+D72:C3432,123
C3×C4.Dic9Direct product of C3 and C4.Dic9722C3xC4.Dic9432,125
C9×C4.Dic3Direct product of C9 and C4.Dic3722C9xC4.Dic3432,127
He37M4(2)1st semidirect product of He3 and M4(2) acting via M4(2)/C2×C4=C2726He3:7M4(2)432,137
C62.21D64th non-split extension by C62 of D6 acting via D6/C2=S372C6^2.21D6432,141
C36.C121st non-split extension by C36 of C12 acting via C12/C2=C6726C36.C12432,143
D18⋊C12The semidirect product of D18 and C12 acting via C12/C2=C672D18:C12432,147
C3×D4.D9Direct product of C3 and D4.D9724C3xD4.D9432,148
C3×D4⋊D9Direct product of C3 and D4⋊D9724C3xD4:D9432,149
C9×D4⋊S3Direct product of C9 and D4⋊S3724C9xD4:S3432,150
C9×D4.S3Direct product of C9 and D4.S3724C9xD4.S3432,151
He38SD161st semidirect product of He3 and SD16 acting via SD16/D4=C27212-He3:8SD16432,152
He36D81st semidirect product of He3 and D8 acting via D8/D4=C27212+He3:6D8432,153
Dic18⋊C61st semidirect product of Dic18 and C6 acting faithfully7212-Dic18:C6432,154
D36⋊C61st semidirect product of D36 and C6 acting faithfully7212+D36:C6432,155
He310SD161st semidirect product of He3 and SD16 acting via SD16/Q8=C27212+He3:10SD16432,161
D36.C61st non-split extension by D36 of C6 acting faithfully7212+D36.C6432,163
C3×C18.D4Direct product of C3 and C18.D472C3xC18.D4432,164
C9×C6.D4Direct product of C9 and C6.D472C9xC6.D4432,165
C623C122nd semidirect product of C62 and C12 acting via C12/C2=C672C6^2:3C12432,166
C62.27D610th non-split extension by C62 of D6 acting via D6/C2=S372C6^2.27D6432,167
C8×He3⋊C2Direct product of C8 and He3⋊C2723C8xHe3:C2432,173
He36M4(2)2nd semidirect product of He3 and M4(2) acting via M4(2)/C8=C2726He3:6M4(2)432,174
He37SD162nd semidirect product of He3 and SD16 acting via SD16/C8=C2726He3:7SD16432,175
He35D82nd semidirect product of He3 and D8 acting via D8/C8=C2726He3:5D8432,176
He38M4(2)2nd semidirect product of He3 and M4(2) acting via M4(2)/C2×C4=C2726He3:8M4(2)432,185
C62.31D614th non-split extension by C62 of D6 acting via D6/C2=S372C6^2.31D6432,189
He37D82nd semidirect product of He3 and D8 acting via D8/D4=C2726He3:7D8432,192
He39SD162nd semidirect product of He3 and SD16 acting via SD16/D4=C2726He3:9SD16432,193
He311SD162nd semidirect product of He3 and SD16 acting via SD16/Q8=C2726He3:11SD16432,196
C624Dic33rd semidirect product of C62 and Dic3 acting via Dic3/C2=S372C6^2:4Dic3432,199
C22⋊C4×He3Direct product of C22⋊C4 and He372C2^2:C4xHe3432,204
C22⋊C4×3- 1+2Direct product of C22⋊C4 and 3- 1+272C2^2:C4xES-(3,1)432,205
M4(2)×He3Direct product of M4(2) and He3726M4(2)xHe3432,213
M4(2)×3- 1+2Direct product of M4(2) and 3- 1+2726M4(2)xES-(3,1)432,214
D8×He3Direct product of D8 and He3726D8xHe3432,216
D8×3- 1+2Direct product of D8 and 3- 1+2726D8xES-(3,1)432,217
SD16×He3Direct product of SD16 and He3726SD16xHe3432,219
SD16×3- 1+2Direct product of SD16 and 3- 1+2726SD16xES-(3,1)432,220
He32SD16The semidirect product of He3 and SD16 acting via SD16/C2=D4726He3:2SD16432,234
He3⋊D8The semidirect product of He3 and D8 acting via D8/C2=D4726+He3:D8432,235
C6.S3≀C24th non-split extension by C6 of S3≀C2 acting via S3≀C2/C32⋊C4=C2726-C6.S3wrC2432,237
C2.SU3(𝔽2)The central extension by C2 of SU3(𝔽2)723C2.SU(3,2)432,239
C9×GL2(𝔽3)Direct product of C9 and GL2(𝔽3)722C9xGL(2,3)432,241
C32.GL2(𝔽3)The non-split extension by C32 of GL2(𝔽3) acting via GL2(𝔽3)/Q8=S37212+C3^2.GL(2,3)432,245
C322GL2(𝔽3)1st semidirect product of C32 and GL2(𝔽3) acting via GL2(𝔽3)/Q8=S37212+C3^2:2GL(2,3)432,248
C18.6S46th non-split extension by C18 of S4 acting via S4/A4=C2724+C18.6S4432,253
C323GL2(𝔽3)2nd semidirect product of C32 and GL2(𝔽3) acting via GL2(𝔽3)/Q8=S3726C3^2:3GL(2,3)432,258
D18.A4The non-split extension by D18 of A4 acting via A4/C22=C37212-D18.A4432,263
D9×SL2(𝔽3)Direct product of D9 and SL2(𝔽3)724-D9xSL(2,3)432,264
C6.(S3×A4)7th non-split extension by C6 of S3×A4 acting via S3×A4/C3×A4=C27212+C6.(S3xA4)432,269
Q8⋊He3⋊C24th semidirect product of Q8⋊He3 and C2 acting faithfully7212-Q8:He3:C2432,270
He32(C2×C8)The semidirect product of He3 and C2×C8 acting via C2×C8/C4=C4723He3:2(C2xC8)432,273
He31M4(2)The semidirect product of He3 and M4(2) acting via M4(2)/C4=C4726He3:1M4(2)432,274
C4×He3⋊C4Direct product of C4 and He3⋊C4723C4xHe3:C4432,275
C4⋊(He3⋊C4)The semidirect product of C4 and He3⋊C4 acting via He3⋊C4/He3⋊C2=C2726C4:(He3:C4)432,276
He34M4(2)The semidirect product of He3 and M4(2) acting via M4(2)/C22=C4726He3:4M4(2)432,278
D18.D61st non-split extension by D18 of D6 acting via D6/S3=C2724D18.D6432,281
Dic65D9The semidirect product of Dic6 and D9 acting through Inn(Dic6)724+Dic6:5D9432,282
Dic18⋊S33rd semidirect product of Dic18 and S3 acting via S3/C3=C2724Dic18:S3432,283
D12⋊D93rd semidirect product of D12 and D9 acting via D9/C9=C2724D12:D9432,286
D6.D181st non-split extension by D6 of D18 acting via D18/C18=C2724D6.D18432,287
Dic9.D64th non-split extension by Dic9 of D6 acting via D6/S3=C2724+Dic9.D6432,289
C4×S3×D9Direct product of C4, S3 and D9724C4xS3xD9432,290
S3×D36Direct product of S3 and D36724+S3xD36432,291
D9×D12Direct product of D9 and D12724+D9xD12432,292
C36⋊D62nd semidirect product of C36 and D6 acting via D6/C3=C22724C36:D6432,293
C3⋊S3⋊Dic6The semidirect product of C3⋊S3 and Dic6 acting via Dic6/C4=S37212-C3:S3:Dic6432,294
C12⋊S3⋊S33rd semidirect product of C12⋊S3 and S3 acting faithfully7212+C12:S3:S3432,295
C12.84S324th non-split extension by C12 of S32 acting via S32/C3⋊S3=C2726C12.84S3^2432,296
C12.91S3211st non-split extension by C12 of S32 acting via S32/C3⋊S3=C2726C12.91S3^2432,297
C12.85S325th non-split extension by C12 of S32 acting via S32/C3⋊S3=C2726-C12.85S3^2432,298
C12.S3223rd non-split extension by C12 of S32 acting via S32/C32=C227212-C12.S3^2432,299
D18.3D63rd non-split extension by D18 of D6 acting via D6/S3=C2724D18.3D6432,305
C2×C18.D6Direct product of C2 and C18.D672C2xC18.D6432,306
C2×C3⋊D36Direct product of C2 and C3⋊D3672C2xC3:D36432,307
Dic3.D185th non-split extension by Dic3 of D18 acting via D18/D9=C2724Dic3.D18432,309
D18.4D64th non-split extension by D18 of D6 acting via D6/S3=C2724-D18.4D6432,310
C2×C9⋊D12Direct product of C2 and C9⋊D1272C2xC9:D12432,312
S3×C9⋊D4Direct product of S3 and C9⋊D4724S3xC9:D4432,313
D9×C3⋊D4Direct product of D9 and C3⋊D4724D9xC3:D4432,314
C2×C6.S32Direct product of C2 and C6.S3272C2xC6.S3^2432,317
C62.8D68th non-split extension by C62 of D6 acting faithfully7212-C6^2.8D6432,318
C62.9D69th non-split extension by C62 of D6 acting faithfully726C6^2.9D6432,319
C2×He32D4Direct product of C2 and He32D472C2xHe3:2D4432,320
C2×He3⋊(C2×C4)Direct product of C2 and He3⋊(C2×C4)72C2xHe3:(C2xC4)432,321
C2×He33D4Direct product of C2 and He33D472C2xHe3:3D4432,322
Q8⋊C94C63rd semidirect product of Q8⋊C9 and C6 acting via C6/C2=C3726Q8:C9:4C6432,338
C4○D4⋊He3The semidirect product of C4○D4 and He3 acting via He3/C32=C3726C4oD4:He3432,339
C3×D365C2Direct product of C3 and D365C2722C3xD36:5C2432,344
C9×C4○D12Direct product of C9 and C4○D12722C9xC4oD12432,347
C2×C4×C32⋊C6Direct product of C2×C4 and C32⋊C672C2xC4xC3^2:C6432,349
C2×He34D4Direct product of C2 and He34D472C2xHe3:4D4432,350
C62.36D619th non-split extension by C62 of D6 acting via D6/C2=S3726C6^2.36D6432,351
C2×C4×C9⋊C6Direct product of C2×C4 and C9⋊C672C2xC4xC9:C6432,353
C2×D36⋊C3Direct product of C2 and D36⋊C372C2xD36:C3432,354
D366C62nd semidirect product of D36 and C6 acting via C6/C2=C3726D36:6C6432,355
C3×D4×D9Direct product of C3, D4 and D9724C3xD4xD9432,356
C3×D42D9Direct product of C3 and D42D9724C3xD4:2D9432,357
S3×D4×C9Direct product of C9, S3 and D4724S3xD4xC9432,358
C9×D42S3Direct product of C9 and D42S3724C9xD4:2S3432,359
C62.13D613rd non-split extension by C62 of D6 acting faithfully7212-C6^2.13D6432,361
Dic182C62nd semidirect product of Dic18 and C6 acting faithfully7212-Dic18:2C6432,363
Q8×C32⋊C6Direct product of Q8 and C32⋊C67212-Q8xC3^2:C6432,368
(Q8×He3)⋊C24th semidirect product of Q8×He3 and C2 acting faithfully7212+(Q8xHe3):C2432,369
Q8×C9⋊C6Direct product of Q8 and C9⋊C67212-Q8xC9:C6432,370
D363C63rd semidirect product of D36 and C6 acting faithfully7212+D36:3C6432,371
C6×C9⋊D4Direct product of C6 and C9⋊D472C6xC9:D4432,374
C18×C3⋊D4Direct product of C18 and C3⋊D472C18xC3:D4432,375
C2×He36D4Direct product of C2 and He36D472C2xHe3:6D4432,377
C2×Dic9⋊C6Direct product of C2 and Dic9⋊C672C2xDic9:C6432,379
C2×C4×He3⋊C2Direct product of C2×C4 and He3⋊C272C2xC4xHe3:C2432,385
C2×He35D4Direct product of C2 and He35D472C2xHe3:5D4432,386
C62.47D630th non-split extension by C62 of D6 acting via D6/C2=S3726C6^2.47D6432,387
C62.16D616th non-split extension by C62 of D6 acting faithfully726C6^2.16D6432,391
Q8×He3⋊C2Direct product of Q8 and He3⋊C2726Q8xHe3:C2432,394
He35D4⋊C26th semidirect product of He35D4 and C2 acting faithfully726He3:5D4:C2432,395
C2×He37D4Direct product of C2 and He37D472C2xHe3:7D4432,399
C2×D4×He3Direct product of C2, D4 and He372C2xD4xHe3432,404
C2×D4×3- 1+2Direct product of C2, D4 and 3- 1+272C2xD4xES-(3,1)432,405
C4○D4×He3Direct product of C4○D4 and He3726C4oD4xHe3432,410
C4○D4×3- 1+2Direct product of C4○D4 and 3- 1+2726C4oD4xES-(3,1)432,411
C12.69S3226th non-split extension by C12 of S32 acting via S32/C3×S3=C272C12.69S3^2432,432
C339M4(2)5th semidirect product of C33 and M4(2) acting via M4(2)/C4=C2272C3^3:9M4(2)432,435
C337D84th semidirect product of C33 and D8 acting via D8/C4=C2272C3^3:7D8432,437
C338D85th semidirect product of C33 and D8 acting via D8/C4=C2272C3^3:8D8432,438
C3315SD167th semidirect product of C33 and SD16 acting via SD16/C4=C2272C3^3:15SD16432,442
C3317SD169th semidirect product of C33 and SD16 acting via SD16/C4=C2272C3^3:17SD16432,444
C62.79D627th non-split extension by C62 of D6 acting via D6/C3=C2272C6^2.79D6432,451
C32×C4.Dic3Direct product of C32 and C4.Dic372C3^2xC4.Dic3432,470
C32×D4⋊S3Direct product of C32 and D4⋊S372C3^2xD4:S3432,475
C32×D4.S3Direct product of C32 and D4.S372C3^2xD4.S3432,476
C32×C6.D4Direct product of C32 and C6.D472C3^2xC6.D4432,479
C3×C12.58D6Direct product of C3 and C12.58D672C3xC12.58D6432,486
C3×C327D8Direct product of C3 and C327D872C3xC3^2:7D8432,491
C3×C329SD16Direct product of C3 and C329SD1672C3xC3^2:9SD16432,492
C3×C625C4Direct product of C3 and C625C472C3xC6^2:5C4432,495
C22×He3⋊C4Direct product of C22 and He3⋊C472C2^2xHe3:C4432,543
C22×S3×D9Direct product of C22, S3 and D972C2^2xS3xD9432,544
C23×C32⋊C6Direct product of C23 and C32⋊C672C2^3xC3^2:C6432,558
C23×C9⋊C6Direct product of C23 and C9⋊C672C2^3xC9:C6432,559
C23×He3⋊C2Direct product of C23 and He3⋊C272C2^3xHe3:C2432,561
C32×GL2(𝔽3)Direct product of C32 and GL2(𝔽3)72C3^2xGL(2,3)432,614
C325GL2(𝔽3)2nd semidirect product of C32 and GL2(𝔽3) acting via GL2(𝔽3)/SL2(𝔽3)=C272C3^2:5GL(2,3)432,620
C3⋊S3×SL2(𝔽3)Direct product of C3⋊S3 and SL2(𝔽3)72C3:S3xSL(2,3)432,626
D12⋊(C3⋊S3)3rd semidirect product of D12 and C3⋊S3 acting via C3⋊S3/C32=C272D12:(C3:S3)432,662
C12.39S3239th non-split extension by C12 of S32 acting via S32/C32=C2272C12.39S3^2432,664
C12.40S3240th non-split extension by C12 of S32 acting via S32/C32=C2272C12.40S3^2432,665
C329(S3×Q8)2nd semidirect product of C32 and S3×Q8 acting via S3×Q8/C12=C2272C3^2:9(S3xQ8)432,666
C12.73S3230th non-split extension by C12 of S32 acting via S32/C3×S3=C272C12.73S3^2432,667
C12.58S3215th non-split extension by C12 of S32 acting via S32/C3×S3=C272C12.58S3^2432,669
C4×S3×C3⋊S3Direct product of C4, S3 and C3⋊S372C4xS3xC3:S3432,670
S3×C12⋊S3Direct product of S3 and C12⋊S372S3xC12:S3432,671
C3⋊S3×D12Direct product of C3⋊S3 and D1272C3:S3xD12432,672
C12⋊S322nd semidirect product of C12 and S32 acting via S32/C32=C2272C12:S3^2432,673
C62.90D638th non-split extension by C62 of D6 acting via D6/C3=C2272C6^2.90D6432,675
C62.91D639th non-split extension by C62 of D6 acting via D6/C3=C2272C6^2.91D6432,676
C62.93D641st non-split extension by C62 of D6 acting via D6/C3=C2272C6^2.93D6432,678
C2×C338(C2×C4)Direct product of C2 and C338(C2×C4)72C2xC3^3:8(C2xC4)432,679
C2×C337D4Direct product of C2 and C337D472C2xC3^3:7D4432,681
C2×C338D4Direct product of C2 and C338D472C2xC3^3:8D4432,682
S3×C327D4Direct product of S3 and C327D472S3xC3^2:7D4432,684
C3⋊S3×C3⋊D4Direct product of C3⋊S3 and C3⋊D472C3:S3xC3:D4432,685
C32×C4○D12Direct product of C32 and C4○D1272C3^2xC4oD12432,703
S3×D4×C32Direct product of C32, S3 and D472S3xD4xC3^2432,704
C32×D42S3Direct product of C32 and D42S372C3^2xD4:2S3432,705
C3×C6×C3⋊D4Direct product of C3×C6 and C3⋊D472C3xC6xC3:D4432,709
C3×C12.59D6Direct product of C3 and C12.59D672C3xC12.59D6432,713
C3×D4×C3⋊S3Direct product of C3, D4 and C3⋊S372C3xD4xC3:S3432,714
C3×C12.D6Direct product of C3 and C12.D672C3xC12.D6432,715
C6×C327D4Direct product of C6 and C327D472C6xC3^2:7D4432,719
C22×S3×C3⋊S3Direct product of C22, S3 and C3⋊S372C2^2xS3xC3:S3432,768

On 73 points

Groups of order 73

dρLabelID
C73Cyclic group731C7373,1

Groups of order 146

dρLabelID
D73Dihedral group732+D73146,1

Groups of order 219

dρLabelID
C73⋊C3The semidirect product of C73 and C3 acting faithfully733C73:C3219,1

Groups of order 292

dρLabelID
C73⋊C4The semidirect product of C73 and C4 acting faithfully734+C73:C4292,3

Groups of order 438

dρLabelID
C73⋊C6The semidirect product of C73 and C6 acting faithfully736+C73:C6438,1

On 74 points

Groups of order 74

dρLabelID
C74Cyclic group741C7474,2

Groups of order 148

dρLabelID
D74Dihedral group; = C2×D37742+D74148,4

Groups of order 222

dρLabelID
C2×C37⋊C3Direct product of C2 and C37⋊C3743C2xC37:C3222,2

Groups of order 296

dρLabelID
C2×C37⋊C4Direct product of C2 and C37⋊C4744+C2xC37:C4296,12

Groups of order 444

dρLabelID
C2×C37⋊C6Direct product of C2 and C37⋊C6746+C2xC37:C6444,8

On 75 points

Groups of order 75

dρLabelID
C75Cyclic group751C7575,1
C5×C15Abelian group of type [5,15]75C5xC1575,3

Groups of order 150

dρLabelID
S3×C25Direct product of C25 and S3752S3xC25150,1
C3×D25Direct product of C3 and D25752C3xD25150,2
D75Dihedral group752+D75150,3
C3×C5⋊D5Direct product of C3 and C5⋊D575C3xC5:D5150,9
S3×C52Direct product of C52 and S375S3xC5^2150,10
C5⋊D15The semidirect product of C5 and D15 acting via D15/C15=C275C5:D15150,12

Groups of order 300

dρLabelID
C3×C25⋊C4Direct product of C3 and C25⋊C4754C3xC25:C4300,5
C75⋊C41st semidirect product of C75 and C4 acting faithfully754C75:C4300,6
S3×D25Direct product of S3 and D25754+S3xD25300,7
C3×C5⋊F5Direct product of C3 and C5⋊F575C3xC5:F5300,30
C15⋊F51st semidirect product of C15 and F5 acting via F5/C5=C475C15:F5300,34
S3×C5⋊D5Direct product of S3 and C5⋊D575S3xC5:D5300,38

Groups of order 375

dρLabelID
He5⋊C3The semidirect product of He5 and C3 acting faithfully755He5:C3375,2
C3×He5Direct product of C3 and He5755C3xHe5375,4
C3×5- 1+2Direct product of C3 and 5- 1+2755C3xES-(5,1)375,5

On 76 points

Groups of order 76

dρLabelID
Dic19Dicyclic group; = C19C4762-Dic1976,1
C76Cyclic group761C7676,2
C2×C38Abelian group of type [2,38]76C2xC3876,4

Groups of order 152

dρLabelID
C4×D19Direct product of C4 and D19762C4xD19152,4
D76Dihedral group762+D76152,5
C19⋊D4The semidirect product of C19 and D4 acting via D4/C22=C2762C19:D4152,7
D4×C19Direct product of C19 and D4762D4xC19152,9
C22×D19Direct product of C22 and D1976C2^2xD19152,11

Groups of order 228

dρLabelID
C19⋊C12The semidirect product of C19 and C12 acting via C12/C2=C6766-C19:C12228,1
C4×C19⋊C3Direct product of C4 and C19⋊C3763C4xC19:C3228,2
C22×C19⋊C3Direct product of C22 and C19⋊C376C2^2xC19:C3228,9
A4×C19Direct product of C19 and A4763A4xC19228,10
C19⋊A4The semidirect product of C19 and A4 acting via A4/C22=C3763C19:A4228,11

Groups of order 304

dρLabelID
D4×D19Direct product of D4 and D19764+D4xD19304,31

Groups of order 456

dρLabelID
C4×C19⋊C6Direct product of C4 and C19⋊C6766C4xC19:C6456,8
D76⋊C3The semidirect product of D76 and C3 acting faithfully766+D76:C3456,9
D38⋊C62nd semidirect product of D38 and C6 acting faithfully766D38:C6456,11
D4×C19⋊C3Direct product of D4 and C19⋊C3766D4xC19:C3456,20
C19×S4Direct product of C19 and S4763C19xS4456,42
C19⋊S4The semidirect product of C19 and S4 acting via S4/A4=C2766+C19:S4456,43
C22×C19⋊C6Direct product of C22 and C19⋊C676C2^2xC19:C6456,44
A4×D19Direct product of A4 and D19766+A4xD19456,45
D19⋊A4The semidirect product of D19 and A4 acting via A4/C22=C3766+D19:A4456,46

On 77 points

Groups of order 77

dρLabelID
C77Cyclic group771C7777,1

Groups of order 154

dρLabelID
C11×D7Direct product of C11 and D7772C11xD7154,1
C7×D11Direct product of C7 and D11772C7xD11154,2
D77Dihedral group772+D77154,3

Groups of order 231

dρLabelID
C11×C7⋊C3Direct product of C11 and C7⋊C3773C11xC7:C3231,1

Groups of order 308

dρLabelID
D7×D11Direct product of D7 and D11774+D7xD11308,5

Groups of order 385

dρLabelID
C7×C11⋊C5Direct product of C7 and C11⋊C5775C7xC11:C5385,1

Groups of order 462

dρLabelID
C7⋊C3×D11Direct product of C7⋊C3 and D11776C7:C3xD11462,1
C11×F7Direct product of C11 and F7776C11xF7462,2
C11⋊F7The semidirect product of C11 and F7 acting via F7/C7⋊C3=C2776+C11:F7462,3

On 78 points

Groups of order 78

dρLabelID
C78Cyclic group781C7878,6

Groups of order 156

dρLabelID
C6×D13Direct product of C6 and D13782C6xD13156,15
S3×C26Direct product of C26 and S3782S3xC26156,16
D78Dihedral group; = C2×D39782+D78156,17

Groups of order 234

dρLabelID
C6×C13⋊C3Direct product of C6 and C13⋊C3783C6xC13:C3234,10
S3×C39Direct product of C39 and S3782S3xC39234,12
C3×D39Direct product of C3 and D39782C3xD39234,13

Groups of order 312

dρLabelID
C6×C13⋊C4Direct product of C6 and C13⋊C4784C6xC13:C4312,52
C2×C39⋊C4Direct product of C2 and C39⋊C4784C2xC39:C4312,53
C2×S3×D13Direct product of C2, S3 and D13784+C2xS3xD13312,54
A4×C26Direct product of C26 and A4783A4xC26312,56
C2×C13⋊A4Direct product of C2 and C13⋊A4783C2xC13:A4312,57

Groups of order 468

dρLabelID
C6×C13⋊C6Direct product of C6 and C13⋊C6786C6xC13:C6468,33
C2×S3×C13⋊C3Direct product of C2, S3 and C13⋊C3786C2xS3xC13:C3468,34
C2×D39⋊C3Direct product of C2 and D39⋊C3786+C2xD39:C3468,35
C3×C39⋊C4Direct product of C3 and C39⋊C4784C3xC39:C4468,37
C13×C32⋊C4Direct product of C13 and C32⋊C4784C13xC3^2:C4468,39
C32⋊Dic13The semidirect product of C32 and Dic13 acting via Dic13/C13=C4784C3^2:Dic13468,40
(C3×C39)⋊C41st semidirect product of C3×C39 and C4 acting faithfully784+(C3xC39):C4468,41
C3×S3×D13Direct product of C3, S3 and D13784C3xS3xD13468,42
S32×C13Direct product of C13, S3 and S3784S3^2xC13468,44
S3×D39Direct product of S3 and D39784+S3xD39468,45
D39⋊S3The semidirect product of D39 and S3 acting via S3/C3=C2784D39:S3468,46

On 79 points

Groups of order 79

dρLabelID
C79Cyclic group791C7979,1

Groups of order 158

dρLabelID
D79Dihedral group792+D79158,1

Groups of order 237

dρLabelID
C79⋊C3The semidirect product of C79 and C3 acting faithfully793C79:C3237,1

Groups of order 474

dρLabelID
C79⋊C6The semidirect product of C79 and C6 acting faithfully796+C79:C6474,1

On 80 points

Groups of order 80

dρLabelID
C52C16The semidirect product of C5 and C16 acting via C16/C8=C2802C5:2C1680,1
C80Cyclic group801C8080,2
C5⋊C16The semidirect product of C5 and C16 acting via C16/C4=C4804C5:C1680,3
Dic20Dicyclic group; = C51Q16802-Dic2080,8
C2×C52C8Direct product of C2 and C52C880C2xC5:2C880,9
C4×Dic5Direct product of C4 and Dic580C4xDic580,11
C10.D41st non-split extension by C10 of D4 acting via D4/C22=C280C10.D480,12
C4⋊Dic5The semidirect product of C4 and Dic5 acting via Dic5/C10=C280C4:Dic580,13
C5⋊Q16The semidirect product of C5 and Q16 acting via Q16/Q8=C2804-C5:Q1680,18
C4×C20Abelian group of type [4,20]80C4xC2080,20
C5×C4⋊C4Direct product of C5 and C4⋊C480C5xC4:C480,22
C2×C40Abelian group of type [2,40]80C2xC4080,23
C5×Q16Direct product of C5 and Q16802C5xQ1680,27
C2×C5⋊C8Direct product of C2 and C5⋊C880C2xC5:C880,32
C2×Dic10Direct product of C2 and Dic1080C2xDic1080,35
C22×Dic5Direct product of C22 and Dic580C2^2xDic580,43
C22×C20Abelian group of type [2,2,20]80C2^2xC2080,45
Q8×C10Direct product of C10 and Q880Q8xC1080,47
C23×C10Abelian group of type [2,2,2,10]80C2^3xC1080,52

Groups of order 160

dρLabelID
D5×C16Direct product of C16 and D5802D5xC16160,4
C80⋊C25th semidirect product of C80 and C2 acting faithfully802C80:C2160,5
D80Dihedral group802+D80160,6
C16⋊D52nd semidirect product of C16 and D5 acting via D5/C5=C2802C16:D5160,7
D206C43rd semidirect product of D20 and C4 acting via C4/C2=C280D20:6C4160,16
C20.4C81st non-split extension by C20 of C8 acting via C8/C4=C2802C20.4C8160,19
C40.6C41st non-split extension by C40 of C4 acting via C4/C2=C2802C40.6C4160,26
D101C81st semidirect product of D10 and C8 acting via C8/C4=C280D10:1C8160,27
D205C42nd semidirect product of D20 and C4 acting via C4/C2=C280D20:5C4160,28
C20.53D410th non-split extension by C20 of D4 acting via D4/C22=C2804C20.53D4160,29
C4.12D204th non-split extension by C4 of D20 acting via D20/D10=C2804-C4.12D20160,31
C5⋊D16The semidirect product of C5 and D16 acting via D16/D8=C2804+C5:D16160,33
D8.D5The non-split extension by D8 of D5 acting via D5/C5=C2804-D8.D5160,34
C5⋊SD32The semidirect product of C5 and SD32 acting via SD32/Q16=C2804+C5:SD32160,35
C20.55D412nd non-split extension by C20 of D4 acting via D4/C22=C280C20.55D4160,37
D4⋊Dic51st semidirect product of D4 and Dic5 acting via Dic5/C10=C280D4:Dic5160,39
C20.10D410th non-split extension by C20 of D4 acting via D4/C2=C22804C20.10D4160,43
C5×C22⋊C8Direct product of C5 and C22⋊C880C5xC2^2:C8160,48
C5×C4.10D4Direct product of C5 and C4.10D4804C5xC4.10D4160,51
C5×D4⋊C4Direct product of C5 and D4⋊C480C5xD4:C4160,52
C5×C8.C4Direct product of C5 and C8.C4802C5xC8.C4160,58
C5×M5(2)Direct product of C5 and M5(2)802C5xM5(2)160,60
C5×D16Direct product of C5 and D16802C5xD16160,61
C5×SD32Direct product of C5 and SD32802C5xSD32160,62
D5⋊C16The semidirect product of D5 and C16 acting via C16/C8=C2804D5:C16160,64
C8.F53rd non-split extension by C8 of F5 acting via F5/D5=C2804C8.F5160,65
C40.C42nd non-split extension by C40 of C4 acting faithfully804C40.C4160,70
D10.Q82nd non-split extension by D10 of Q8 acting via Q8/C4=C2804D10.Q8160,71
C20.C81st non-split extension by C20 of C8 acting via C8/C2=C4804C20.C8160,73
D10⋊C82nd semidirect product of D10 and C8 acting via C8/C4=C280D10:C8160,78
Dic5.D41st non-split extension by Dic5 of D4 acting via D4/C2=C22804-Dic5.D4160,80
C23.2F51st non-split extension by C23 of F5 acting via F5/D5=C280C2^3.2F5160,87
D5×C42Direct product of C42 and D580D5xC4^2160,92
C42⋊D51st semidirect product of C42 and D5 acting via D5/C5=C280C4^2:D5160,93
C4×D20Direct product of C4 and D2080C4xD20160,94
C204D41st semidirect product of C20 and D4 acting via D4/C4=C280C20:4D4160,95
C4.D205th non-split extension by C4 of D20 acting via D20/C20=C280C4.D20160,96
C422D52nd semidirect product of C42 and D5 acting via D5/C5=C280C4^2:2D5160,97
C23.11D101st non-split extension by C23 of D10 acting via D10/D5=C280C2^3.11D10160,98
Dic5.14D41st non-split extension by Dic5 of D4 acting via D4/C22=C280Dic5.14D4160,99
C23.D103rd non-split extension by C23 of D10 acting via D10/C5=C2280C2^3.D10160,100
Dic54D41st semidirect product of Dic5 and D4 acting through Inn(Dic5)80Dic5:4D4160,102
D10.12D41st non-split extension by D10 of D4 acting via D4/C22=C280D10.12D4160,104
D10⋊D41st semidirect product of D10 and D4 acting via D4/C4=C280D10:D4160,105
Dic5.5D41st non-split extension by Dic5 of D4 acting via D4/C4=C280Dic5.5D4160,106
C22.D203rd non-split extension by C22 of D20 acting via D20/D10=C280C2^2.D20160,107
D5×C4⋊C4Direct product of D5 and C4⋊C480D5xC4:C4160,112
C4⋊C47D51st semidirect product of C4⋊C4 and D5 acting through Inn(C4⋊C4)80C4:C4:7D5160,113
D208C45th semidirect product of D20 and C4 acting via C4/C2=C280D20:8C4160,114
D10.13D42nd non-split extension by D10 of D4 acting via D4/C22=C280D10.13D4160,115
C4⋊D20The semidirect product of C4 and D20 acting via D20/D10=C280C4:D20160,116
D10⋊Q81st semidirect product of D10 and Q8 acting via Q8/C4=C280D10:Q8160,117
D102Q82nd semidirect product of D10 and Q8 acting via Q8/C4=C280D10:2Q8160,118
C4⋊C4⋊D56th semidirect product of C4⋊C4 and D5 acting via D5/C5=C280C4:C4:D5160,119
D5×C2×C8Direct product of C2×C8 and D580D5xC2xC8160,120
C2×C8⋊D5Direct product of C2 and C8⋊D580C2xC8:D5160,121
D20.3C4The non-split extension by D20 of C4 acting through Inn(D20)802D20.3C4160,122
C2×C40⋊C2Direct product of C2 and C40⋊C280C2xC40:C2160,123
C2×D40Direct product of C2 and D4080C2xD40160,124
D407C2The semidirect product of D40 and C2 acting through Inn(D40)802D40:7C2160,125
D20.2C4The non-split extension by D20 of C4 acting via C4/C2=C2804D20.2C4160,128
C8.D101st non-split extension by C8 of D10 acting via D10/C5=C22804-C8.D10160,130
D83D5The semidirect product of D8 and D5 acting through Inn(D8)804-D8:3D5160,133
SD16⋊D52nd semidirect product of SD16 and D5 acting via D5/C5=C2804-SD16:D5160,136
SD163D5The semidirect product of SD16 and D5 acting through Inn(SD16)804SD16:3D5160,137
D5×Q16Direct product of D5 and Q16804-D5xQ16160,138
Q16⋊D52nd semidirect product of Q16 and D5 acting via D5/C5=C2804Q16:D5160,139
Q8.D105th non-split extension by Q8 of D10 acting via D10/D5=C2804+Q8.D10160,140
C2×C4.Dic5Direct product of C2 and C4.Dic580C2xC4.Dic5160,142
C20.48D45th non-split extension by C20 of D4 acting via D4/C22=C280C20.48D4160,145
C23.21D102nd non-split extension by C23 of D10 acting via D10/C10=C280C2^3.21D10160,147
C2×D10⋊C4Direct product of C2 and D10⋊C480C2xD10:C4160,148
C4×C5⋊D4Direct product of C4 and C5⋊D480C4xC5:D4160,149
C23.23D104th non-split extension by C23 of D10 acting via D10/C10=C280C2^3.23D10160,150
C207D41st semidirect product of C20 and D4 acting via D4/C22=C280C20:7D4160,151
C2×D4⋊D5Direct product of C2 and D4⋊D580C2xD4:D5160,152
C2×D4.D5Direct product of C2 and D4.D580C2xD4.D5160,154
D4×Dic5Direct product of D4 and Dic580D4xDic5160,155
C23.18D108th non-split extension by C23 of D10 acting via D10/D5=C280C2^3.18D10160,156
C20.17D417th non-split extension by C20 of D4 acting via D4/C2=C2280C20.17D4160,157
C202D42nd semidirect product of C20 and D4 acting via D4/C2=C2280C20:2D4160,159
Dic5⋊D42nd semidirect product of Dic5 and D4 acting via D4/C22=C280Dic5:D4160,160
C20⋊D43rd semidirect product of C20 and D4 acting via D4/C2=C2280C20:D4160,161
C2×Q8⋊D5Direct product of C2 and Q8⋊D580C2xQ8:D5160,162
C20.C2315th non-split extension by C20 of C23 acting via C23/C2=C22804C20.C2^3160,163
D103Q83rd semidirect product of D10 and Q8 acting via Q8/C4=C280D10:3Q8160,167
C20.23D423rd non-split extension by C20 of D4 acting via D4/C2=C2280C20.23D4160,168
D4.Dic5The non-split extension by D4 of Dic5 acting through Inn(D4)804D4.Dic5160,169
D4.8D103rd non-split extension by D4 of D10 acting via D10/C10=C2804D4.8D10160,171
D4.9D104th non-split extension by D4 of D10 acting via D10/C10=C2804-D4.9D10160,172
C2×C23.D5Direct product of C2 and C23.D580C2xC2^3.D5160,173
C10×C22⋊C4Direct product of C10 and C22⋊C480C10xC2^2:C4160,176
C5×C42⋊C2Direct product of C5 and C42⋊C280C5xC4^2:C2160,178
D4×C20Direct product of C20 and D480D4xC20160,179
C5×C4⋊D4Direct product of C5 and C4⋊D480C5xC4:D4160,182
C5×C22⋊Q8Direct product of C5 and C22⋊Q880C5xC2^2:Q8160,183
C5×C22.D4Direct product of C5 and C22.D480C5xC2^2.D4160,184
C5×C4.4D4Direct product of C5 and C4.4D480C5xC4.4D4160,185
C5×C422C2Direct product of C5 and C422C280C5xC4^2:2C2160,187
C5×C41D4Direct product of C5 and C41D480C5xC4:1D4160,188
C10×M4(2)Direct product of C10 and M4(2)80C10xM4(2)160,191
C5×C8○D4Direct product of C5 and C8○D4802C5xC8oD4160,192
C10×D8Direct product of C10 and D880C10xD8160,193
C10×SD16Direct product of C10 and SD1680C10xSD16160,194
C5×C4○D8Direct product of C5 and C4○D8802C5xC4oD8160,196
C5×C8.C22Direct product of C5 and C8.C22804C5xC8.C2^2160,198
C2×D5⋊C8Direct product of C2 and D5⋊C880C2xD5:C8160,200
C2×C4.F5Direct product of C2 and C4.F580C2xC4.F5160,201
D4.F5The non-split extension by D4 of F5 acting through Inn(D4)808-D4.F5160,206
Q8.F5The non-split extension by Q8 of F5 acting through Inn(Q8)808+Q8.F5160,208
C2×C22.F5Direct product of C2 and C22.F580C2xC2^2.F5160,211
D5×C22×C4Direct product of C22×C4 and D580D5xC2^2xC4160,214
C22×D20Direct product of C22 and D2080C2^2xD20160,215
C2×C4○D20Direct product of C2 and C4○D2080C2xC4oD20160,216
C2×D42D5Direct product of C2 and D42D580C2xD4:2D5160,218
C2×Q8×D5Direct product of C2, Q8 and D580C2xQ8xD5160,220
C2×Q82D5Direct product of C2 and Q82D580C2xQ8:2D5160,221
Q8.10D101st non-split extension by Q8 of D10 acting through Inn(Q8)804Q8.10D10160,222
D4.10D10The non-split extension by D4 of D10 acting through Inn(D4)804-D4.10D10160,225
C22×C5⋊D4Direct product of C22 and C5⋊D480C2^2xC5:D4160,227
D4×C2×C10Direct product of C2×C10 and D480D4xC2xC10160,229
C10×C4○D4Direct product of C10 and C4○D480C10xC4oD4160,231
C5×2- 1+4Direct product of C5 and 2- 1+4804C5xES-(2,2)160,233
D5×C24Direct product of C24 and D580D5xC2^4160,237

Groups of order 240

dρLabelID
C5×CSU2(𝔽3)Direct product of C5 and CSU2(𝔽3)802C5xCSU(2,3)240,102
Q8.D15The non-split extension by Q8 of D15 acting via D15/C5=S3804-Q8.D15240,105
Dic5.A4The non-split extension by Dic5 of A4 acting through Inn(Dic5)804+Dic5.A4240,108
C10×SL2(𝔽3)Direct product of C10 and SL2(𝔽3)80C10xSL(2,3)240,153
C5×C4.A4Direct product of C5 and C4.A4802C5xC4.A4240,154

Groups of order 320

dρLabelID
(C2×D20)⋊C41st semidirect product of C2×D20 and C4 acting faithfully80(C2xD20):C4320,9
C4⋊Dic5⋊C42nd semidirect product of C4⋊Dic5 and C4 acting faithfully80C4:Dic5:C4320,10
C40.7C81st non-split extension by C40 of C8 acting via C8/C4=C2802C40.7C8320,21
C20.45C428th non-split extension by C20 of C42 acting via C42/C2×C4=C2804C20.45C4^2320,24
C23.30D201st non-split extension by C23 of D20 acting via D20/D10=C280C2^3.30D20320,25
C53(C23⋊C8)The semidirect product of C5 and C23⋊C8 acting via C23⋊C8/C22⋊C8=C280C5:3(C2^3:C8)320,26
C22.2D401st non-split extension by C22 of D40 acting via D40/D20=C280C2^2.2D40320,28
(C2×C20).D42nd non-split extension by C2×C20 of D4 acting faithfully808-(C2xC20).D4320,30
C23.D201st non-split extension by C23 of D20 acting via D20/C5=D4808-C2^3.D20320,31
C23.4D204th non-split extension by C23 of D20 acting via D20/C5=D4808-C2^3.4D20320,34
(C2×C4).D203rd non-split extension by C2×C4 of D20 acting via D20/C5=D4808+(C2xC4).D20320,35
(C2×Q8).D102nd non-split extension by C2×Q8 of D10 acting via D10/C5=C22808-(C2xQ8).D10320,36
C8.Dic101st non-split extension by C8 of Dic10 acting via Dic10/C10=C22804C8.Dic10320,45
D4014C48th semidirect product of D40 and C4 acting via C4/C2=C2804D40:14C4320,46
C40.6Q86th non-split extension by C40 of Q8 acting via Q8/C2=C22804C40.6Q8320,52
D40.6C44th non-split extension by D40 of C4 acting via C4/C2=C2804+D40.6C4320,53
C40.9Q89th non-split extension by C40 of Q8 acting via Q8/C2=C22804C40.9Q8320,69
C80⋊C46th semidirect product of C80 and C4 acting faithfully804C80:C4320,70
C40.Q81st non-split extension by C40 of Q8 acting via Q8/C2=C22804C40.Q8320,71
C8.25D2011st non-split extension by C8 of D20 acting via D20/D10=C2804C8.25D20320,72
D40.4C42nd non-split extension by D40 of C4 acting via C4/C2=C2804+D40.4C4320,74
D408C42nd semidirect product of D40 and C4 acting via C4/C2=C2804D40:8C4320,76
C426Dic53rd semidirect product of C42 and Dic5 acting via Dic5/C10=C280C4^2:6Dic5320,81
C24.Dic51st non-split extension by C24 of Dic5 acting via Dic5/C5=C480C2^4.Dic5320,83
C24.D101st non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.D10320,84
C24.2D102nd non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.2D10320,85
C421Dic51st semidirect product of C42 and Dic5 acting via Dic5/C5=C4804C4^2:1Dic5320,89
C20.32C422nd non-split extension by C20 of C42 acting via C42/C22=C2280C20.32C4^2320,90
C20.60(C4⋊C4)7th non-split extension by C20 of C4⋊C4 acting via C4⋊C4/C2×C4=C2804C20.60(C4:C4)320,91
C4⋊C4⋊Dic51st semidirect product of C4⋊C4 and Dic5 acting via Dic5/C5=C480C4:C4:Dic5320,95
C10.29C4≀C25th non-split extension by C10 of C4≀C2 acting via C4≀C2/C4○D4=C280C10.29C4wrC2320,96
(C22×C20)⋊C42nd semidirect product of C22×C20 and C4 acting faithfully804(C2^2xC20):C4320,97
C42⋊Dic52nd semidirect product of C42 and Dic5 acting via Dic5/C5=C4804C4^2:Dic5320,99
C42.Dic52nd non-split extension by C42 of Dic5 acting via Dic5/C5=C4804C4^2.Dic5320,100
C42.3Dic53rd non-split extension by C42 of Dic5 acting via Dic5/C5=C4804C4^2.3Dic5320,106
C40.D448th non-split extension by C40 of D4 acting via D4/C2=C22804C40.D4320,111
C20.33C423rd non-split extension by C20 of C42 acting via C42/C22=C2280C20.33C4^2320,113
(C2×C40)⋊C411st semidirect product of C2×C40 and C4 acting faithfully804(C2xC40):C4320,114
C23.9D202nd non-split extension by C23 of D20 acting via D20/C10=C22804C2^3.9D20320,115
M4(2)⋊4Dic54th semidirect product of M4(2) and Dic5 acting via Dic5/C10=C2804M4(2):4Dic5320,117
C20.51C4214th non-split extension by C20 of C42 acting via C42/C2×C4=C2804C20.51C4^2320,118
D8.Dic52nd non-split extension by D8 of Dic5 acting via Dic5/C10=C2804D8.Dic5320,121
D82Dic52nd semidirect product of D8 and Dic5 acting via Dic5/C10=C2804D8:2Dic5320,124
C5×C23⋊C8Direct product of C5 and C23⋊C880C5xC2^3:C8320,128
C5×C22.SD16Direct product of C5 and C22.SD1680C5xC2^2.SD16320,132
C5×C23.31D4Direct product of C5 and C23.31D480C5xC2^3.31D4320,133
C5×C4.9C42Direct product of C5 and C4.9C42804C5xC4.9C4^2320,142
C5×C4.10C42Direct product of C5 and C4.10C42804C5xC4.10C4^2320,143
C5×C426C4Direct product of C5 and C426C480C5xC4^2:6C4320,144
C5×C23.9D4Direct product of C5 and C23.9D480C5xC2^3.9D4320,147
C5×M4(2)⋊4C4Direct product of C5 and M4(2)⋊4C4804C5xM4(2):4C4320,149
C5×C16⋊C4Direct product of C5 and C16⋊C4804C5xC16:C4320,152
C5×C23.C8Direct product of C5 and C23.C8804C5xC2^3.C8320,154
C5×C23.D4Direct product of C5 and C23.D4804C5xC2^3.D4320,157
C5×C423C4Direct product of C5 and C423C4804C5xC4^2:3C4320,159
C5×C42.C4Direct product of C5 and C42.C4804C5xC4^2.C4320,160
C5×C42.3C4Direct product of C5 and C42.3C4804C5xC4^2.3C4320,161
C5×D82C4Direct product of C5 and D82C4804C5xD8:2C4320,165
C5×M5(2)⋊C2Direct product of C5 and M5(2)⋊C2804C5xM5(2):C2320,166
C5×C8.C8Direct product of C5 and C8.C8802C5xC8.C8320,169
C5×C8.Q8Direct product of C5 and C8.Q8804C5xC8.Q8320,170
C16×F5Direct product of C16 and F5804C16xF5320,181
C167F53rd semidirect product of C16 and F5 acting via F5/D5=C2804C16:7F5320,182
C16⋊F53rd semidirect product of C16 and F5 acting via F5/C5=C4804C16:F5320,183
C164F54th semidirect product of C16 and F5 acting via F5/C5=C4804C16:4F5320,184
C804C44th semidirect product of C80 and C4 acting faithfully804C80:4C4320,185
C805C45th semidirect product of C80 and C4 acting faithfully804C80:5C4320,186
C802C42nd semidirect product of C80 and C4 acting faithfully804C80:2C4320,187
C803C43rd semidirect product of C80 and C4 acting faithfully804C80:3C4320,188
C422F52nd semidirect product of C42 and F5 acting via F5/C5=C4804C4^2:2F5320,192
C42.F51st non-split extension by C42 of F5 acting via F5/C5=C4804-C4^2.F5320,193
C42.2F52nd non-split extension by C42 of F5 acting via F5/C5=C4804C4^2.2F5320,194
C42.3F53rd non-split extension by C42 of F5 acting via F5/C5=C4804C4^2.3F5320,198
C42.9F56th non-split extension by C42 of F5 acting via F5/D5=C2804C4^2.9F5320,199
C423F53rd semidirect product of C42 and F5 acting via F5/C5=C4804C4^2:3F5320,201
C22⋊C4⋊F52nd semidirect product of C22⋊C4 and F5 acting via F5/C5=C4808-C2^2:C4:F5320,203
C22⋊C4.F51st non-split extension by C22⋊C4 of F5 acting via F5/D5=C2808-C2^2:C4.F5320,205
D10.1D81st non-split extension by D10 of D8 acting via D8/C4=C2280D10.1D8320,206
D10.1Q161st non-split extension by D10 of Q16 acting via Q16/C4=C2280D10.1Q16320,207
D10.18D87th non-split extension by D10 of D8 acting via D8/D4=C280D10.18D8320,212
C20.C422nd non-split extension by C20 of C42 acting via C42/C2=C2×C480C20.C4^2320,213
C40.1C81st non-split extension by C40 of C8 acting via C8/C2=C4804C40.1C8320,227
C20.23C4216th non-split extension by C20 of C42 acting via C42/C4=C4804C20.23C4^2320,228
C20.10M4(2)4th non-split extension by C20 of M4(2) acting via M4(2)/C4=C4804C20.10M4(2)320,229
D10.3M4(2)1st non-split extension by D10 of M4(2) acting via M4(2)/C8=C280D10.3M4(2)320,230
D10.10D86th non-split extension by D10 of D8 acting via D8/C8=C280D10.10D8320,231
(C2×C8)⋊F51st semidirect product of C2×C8 and F5 acting via F5/C5=C4804(C2xC8):F5320,232
C20.24C4217th non-split extension by C20 of C42 acting via C42/C4=C4804C20.24C4^2320,233
C20.25C4218th non-split extension by C20 of C42 acting via C42/C4=C4804C20.25C4^2320,235
M4(2).F53rd non-split extension by M4(2) of F5 acting via F5/D5=C2808M4(2).F5320,239
M4(2)⋊4F54th semidirect product of M4(2) and F5 acting via F5/D5=C2808M4(2):4F5320,240
D10.D82nd non-split extension by D10 of D8 acting via D8/C4=C22808-D10.D8320,241
D5.D16The non-split extension by D5 of D16 acting via D16/D8=C2808+D5.D16320,242
D40.C41st non-split extension by D40 of C4 acting faithfully808+D40.C4320,244
D401C41st semidirect product of D40 and C4 acting faithfully808+D40:1C4320,245
D5.Q32The non-split extension by D5 of Q32 acting via Q32/Q16=C2808-D5.Q32320,246
C20.29M4(2)4th non-split extension by C20 of M4(2) acting via M4(2)/C22=C4804C20.29M4(2)320,250
C5⋊(C23⋊C8)The semidirect product of C5 and C23⋊C8 acting via C23⋊C8/C22×C4=C480C5:(C2^3:C8)320,253
(C22×C4)⋊F51st semidirect product of C22×C4 and F5 acting via F5/C5=C4804(C2^2xC4):F5320,254
C22⋊F5⋊C42nd semidirect product of C22⋊F5 and C4 acting via C4/C2=C280C2^2:F5:C4320,255
D10.SD167th non-split extension by D10 of SD16 acting via SD16/C4=C2280D10.SD16320,258
(D4×C10).C42nd non-split extension by D4×C10 of C4 acting faithfully808-(D4xC10).C4320,261
D10.Q162nd non-split extension by D10 of Q16 acting via Q16/C4=C2280D10.Q16320,264
(C2×Q8)⋊F52nd semidirect product of C2×Q8 and F5 acting via F5/C5=C4808+(C2xQ8):F5320,266
(Q8×C10).C42nd non-split extension by Q8×C10 of C4 acting faithfully808-(Q8xC10).C4320,267
C24.F51st non-split extension by C24 of F5 acting via F5/C5=C480C2^4.F5320,271
D4017C4The semidirect product of D40 and C4 acting through Inn(D40)802D40:17C4320,327
D4010C44th semidirect product of D40 and C4 acting via C4/C2=C2804D40:10C4320,344
D5×C22⋊C8Direct product of D5 and C22⋊C880D5xC2^2:C8320,351
D107M4(2)1st semidirect product of D10 and M4(2) acting via M4(2)/C2×C4=C280D10:7M4(2)320,353
D20.31D41st non-split extension by D20 of D4 acting via D4/C22=C280D20.31D4320,358
D2013D41st semidirect product of D20 and D4 acting via D4/C22=C280D20:13D4320,359
C23⋊C45D5The semidirect product of C23⋊C4 and D5 acting through Inn(C23⋊C4)808-C2^3:C4:5D5320,367
C23.5D205th non-split extension by C23 of D20 acting via D20/C5=D4808-C2^3.5D20320,369
M4(2).19D102nd non-split extension by M4(2) of D10 acting via D10/D5=C2808-M4(2).19D10320,372
D20.1D41st non-split extension by D20 of D4 acting via D4/C2=C22808-D20.1D4320,373
D20.2D42nd non-split extension by D20 of D4 acting via D4/C2=C22808-D20.2D4320,375
D20.3D43rd non-split extension by D20 of D4 acting via D4/C2=C22808+D20.3D4320,376
D5×C4.10D4Direct product of D5 and C4.10D4808-D5xC4.10D4320,377
M4(2).21D104th non-split extension by M4(2) of D10 acting via D10/D5=C2808+M4(2).21D10320,378
D20.4D44th non-split extension by D20 of D4 acting via D4/C2=C22808-D20.4D4320,379
D20.5D45th non-split extension by D20 of D4 acting via D4/C2=C22808+D20.5D4320,380
D20.6D46th non-split extension by D20 of D4 acting via D4/C2=C22808+D20.6D4320,381
D5×D4⋊C4Direct product of D5 and D4⋊C480D5xD4:C4320,396
(D4×D5)⋊C42nd semidirect product of D4×D5 and C4 acting via C4/C2=C280(D4xD5):C4320,397
D4⋊D201st semidirect product of D4 and D20 acting via D20/D10=C280D4:D20320,400
D20.8D48th non-split extension by D20 of D4 acting via D4/C2=C2280D20.8D4320,403
C42⋊D101st semidirect product of C42 and D10 acting via D10/C5=C22804C4^2:D10320,448
M4(2).22D105th non-split extension by M4(2) of D10 acting via D10/D5=C2804M4(2).22D10320,450
C42.196D1016th non-split extension by C42 of D10 acting via D10/D5=C2804C4^2.196D10320,451
M4(2)⋊D104th semidirect product of M4(2) and D10 acting via D10/C5=C22804M4(2):D10320,452
D4.9D204th non-split extension by D4 of D20 acting via D20/D10=C2804-D4.9D20320,453
D4.10D205th non-split extension by D4 of D20 acting via D20/D10=C2804D4.10D20320,454
D5×C8.C4Direct product of D5 and C8.C4804D5xC8.C4320,519
M4(2).25D108th non-split extension by M4(2) of D10 acting via D10/D5=C2804M4(2).25D10320,520
D4016C410th semidirect product of D40 and C4 acting via C4/C2=C2804D40:16C4320,521
D4013C47th semidirect product of D40 and C4 acting via C4/C2=C2804D40:13C4320,522
C8.21D207th non-split extension by C8 of D20 acting via D20/D10=C2804+C8.21D20320,524
C8.24D2010th non-split extension by C8 of D20 acting via D20/D10=C2804C8.24D20320,525
D5×M5(2)Direct product of D5 and M5(2)804D5xM5(2)320,533
D80⋊C22nd semidirect product of D80 and C2 acting faithfully804+D80:C2320,535
D5×D16Direct product of D5 and D16804+D5xD16320,537
D16⋊D52nd semidirect product of D16 and D5 acting via D5/C5=C2804D16:D5320,538
D5×SD32Direct product of D5 and SD32804D5xSD32320,540
C16⋊D103rd semidirect product of C16 and D10 acting via D10/C5=C22804+C16:D10320,541
C2×D204C4Direct product of C2 and D204C480C2xD20:4C4320,554
C2×C23.1D10Direct product of C2 and C23.1D1080C2xC2^3.1D10320,581
C24.48D106th non-split extension by C24 of D10 acting via D10/D5=C280C2^4.48D10320,582
C4⋊C436D102nd semidirect product of C4⋊C4 and D10 acting via D10/C10=C280C4:C4:36D10320,628
C424D104th semidirect product of C42 and D10 acting via D10/C5=C22804C4^2:4D10320,632
(C2×D20)⋊25C410th semidirect product of C2×D20 and C4 acting via C4/C2=C2804(C2xD20):25C4320,633
D2016D44th semidirect product of D20 and D4 acting via D4/C22=C280D20:16D4320,663
D20.36D46th non-split extension by D20 of D4 acting via D4/C22=C280D20.36D4320,673
C22⋊C4⋊D104th semidirect product of C22⋊C4 and D10 acting via D10/C5=C22804C2^2:C4:D10320,680
C425D105th semidirect product of C42 and D10 acting via D10/C5=C22804C4^2:5D10320,688
D20.14D414th non-split extension by D20 of D4 acting via D4/C2=C22804D20.14D4320,689
D20.15D415th non-split extension by D20 of D4 acting via D4/C2=C22804D20.15D4320,722
C23.Dic106th non-split extension by C23 of Dic10 acting via Dic10/C10=C22804C2^3.Dic10320,751
M4(2).Dic51st non-split extension by M4(2) of Dic5 acting via Dic5/C10=C2804M4(2).Dic5320,752
D108M4(2)2nd semidirect product of D10 and M4(2) acting via M4(2)/C2×C4=C280D10:8M4(2)320,753
C2×C20.46D4Direct product of C2 and C20.46D480C2xC20.46D4320,757
C23.48D2019th non-split extension by C23 of D20 acting via D20/D10=C280C2^3.48D20320,758
M4(2).31D104th non-split extension by M4(2) of D10 acting via D10/C10=C2804M4(2).31D10320,759
C2×D207C4Direct product of C2 and D207C480C2xD20:7C4320,765
C23.20D2013rd non-split extension by C23 of D20 acting via D20/C10=C22804C2^3.20D20320,766
D4.3D203rd non-split extension by D4 of D20 acting via D20/C20=C2804D4.3D20320,768
D4.4D204th non-split extension by D4 of D20 acting via D20/C20=C2804+D4.4D20320,769
C40.93D416th non-split extension by C40 of D4 acting via D4/C22=C2804C40.93D4320,771
C40.50D450th non-split extension by C40 of D4 acting via D4/C2=C22804C40.50D4320,772
D8.D101st non-split extension by D8 of D10 acting via D10/C10=C2804D8.D10320,774
D20⋊D46th semidirect product of D20 and D4 acting via D4/C2=C2280D20:D4320,783
C40.23D423rd non-split extension by C40 of D4 acting via D4/C2=C22804C40.23D4320,787
D106SD162nd semidirect product of D10 and SD16 acting via SD16/D4=C280D10:6SD16320,796
C40.44D444th non-split extension by C40 of D4 acting via D4/C2=C22804C40.44D4320,804
D8⋊D102nd semidirect product of D8 and D10 acting via D10/C10=C2804+D8:D10320,820
D85Dic5The semidirect product of D8 and Dic5 acting through Inn(D8)804D8:5Dic5320,823
D84Dic54th semidirect product of D8 and Dic5 acting via Dic5/C10=C2804D8:4Dic5320,824
M4(2).D1012nd non-split extension by M4(2) of D10 acting via D10/C5=C22808+M4(2).D10320,826
M4(2).13D1013rd non-split extension by M4(2) of D10 acting via D10/C5=C22808-M4(2).13D10320,827
D20.38D48th non-split extension by D20 of D4 acting via D4/C22=C2808-D20.38D4320,828
D20.39D49th non-split extension by D20 of D4 acting via D4/C22=C2808+D20.39D4320,829
M4(2).15D1015th non-split extension by M4(2) of D10 acting via D10/C5=C22808+M4(2).15D10320,830
D20.40D410th non-split extension by D20 of D4 acting via D4/C22=C2808-D20.40D4320,832
C24.4Dic52nd non-split extension by C24 of Dic5 acting via Dic5/C10=C280C2^4.4Dic5320,834
(D4×C10)⋊18C42nd semidirect product of D4×C10 and C4 acting via C4/C2=C280(D4xC10):18C4320,842
C2×C20.D4Direct product of C2 and C20.D480C2xC20.D4320,843
(C2×C10)⋊8D82nd semidirect product of C2×C10 and D8 acting via D8/D4=C280(C2xC10):8D8320,844
(C5×D4).31D41st non-split extension by C5×D4 of D4 acting via D4/C22=C280(C5xD4).31D4320,845
C2×C23⋊Dic5Direct product of C2 and C23⋊Dic580C2xC2^3:Dic5320,846
C2×D42Dic5Direct product of C2 and D42Dic580C2xD4:2Dic5320,862
(D4×C10)⋊21C45th semidirect product of D4×C10 and C4 acting via C4/C2=C2804(D4xC10):21C4320,863
(D4×C10).29C410th non-split extension by D4×C10 of C4 acting via C4/C2=C2804(D4xC10).29C4320,864
(D4×C10)⋊22C46th semidirect product of D4×C10 and C4 acting via C4/C2=C2804(D4xC10):22C4320,867
2+ 1+4.D51st non-split extension by 2+ 1+4 of D5 acting via D5/C5=C2808-ES+(2,2).D5320,869
2+ 1+4.2D52nd non-split extension by 2+ 1+4 of D5 acting via D5/C5=C2808-ES+(2,2).2D5320,870
2- 1+42D51st semidirect product of 2- 1+4 and D5 acting via D5/C5=C2808+ES-(2,2):2D5320,872
2- 1+4.2D5The non-split extension by 2- 1+4 of D5 acting via D5/C5=C2808-ES-(2,2).2D5320,873
C25.2D51st non-split extension by C25 of D5 acting via D5/C5=C280C2^5.2D5320,874
C5×C243C4Direct product of C5 and C243C480C5xC2^4:3C4320,880
C5×C24.4C4Direct product of C5 and C24.4C480C5xC2^4.4C4320,908
C10×C23⋊C4Direct product of C10 and C23⋊C480C10xC2^3:C4320,910
C5×C23.C23Direct product of C5 and C23.C23804C5xC2^3.C2^3320,911
C10×C4.D4Direct product of C10 and C4.D480C10xC4.D4320,912
C5×M4(2).8C22Direct product of C5 and M4(2).8C22804C5xM4(2).8C2^2320,914
C5×C23.37D4Direct product of C5 and C23.37D480C5xC2^3.37D4320,919
C10×C4≀C2Direct product of C10 and C4≀C280C10xC4wrC2320,921
C5×C42⋊C22Direct product of C5 and C42⋊C22804C5xC4^2:C2^2320,922
C5×M4(2).C4Direct product of C5 and M4(2).C4804C5xM4(2).C4320,931
C5×C8○D8Direct product of C5 and C8○D8802C5xC8oD8320,944
C5×C8.26D4Direct product of C5 and C8.26D4804C5xC8.26D4320,945
C5×C22⋊D8Direct product of C5 and C22⋊D880C5xC2^2:D8320,948
C5×C22⋊SD16Direct product of C5 and C22⋊SD1680C5xC2^2:SD16320,951
C5×D4.8D4Direct product of C5 and D4.8D4804C5xD4.8D4320,955
C5×D4.9D4Direct product of C5 and D4.9D4804C5xD4.9D4320,956
C5×D4.10D4Direct product of C5 and D4.10D4804C5xD4.10D4320,957
C5×C23.7D4Direct product of C5 and C23.7D4804C5xC2^3.7D4320,959
C5×D4.3D4Direct product of C5 and D4.3D4804C5xD4.3D4320,972
C5×D4.4D4Direct product of C5 and D4.4D4804C5xD4.4D4320,973
C5×C16⋊C22Direct product of C5 and C16⋊C22804C5xC16:C2^2320,1010
C42×F5Direct product of C42 and F580C4^2xF5320,1023
C424F51st semidirect product of C42 and F5 acting via F5/D5=C280C4^2:4F5320,1024
C4×C4⋊F5Direct product of C4 and C4⋊F580C4xC4:F5320,1025
C428F55th semidirect product of C42 and F5 acting via F5/D5=C280C4^2:8F5320,1026
C429F56th semidirect product of C42 and F5 acting via F5/D5=C280C4^2:9F5320,1027
C425F52nd semidirect product of C42 and F5 acting via F5/D5=C280C4^2:5F5320,1028
C10.(C4×D4)7th non-split extension by C10 of C4×D4 acting via C4×D4/D4=C480C10.(C4xD4)320,1038
C4⋊C4×F5Direct product of C4⋊C4 and F580C4:C4xF5320,1048
C4⋊C45F53rd semidirect product of C4⋊C4 and F5 acting via F5/D5=C280C4:C4:5F5320,1049
C20⋊(C4⋊C4)The semidirect product of C20 and C4⋊C4 acting via C4⋊C4/C2=C2×C480C20:(C4:C4)320,1050
D5⋊M5(2)The semidirect product of D5 and M5(2) acting via M5(2)/C2×C8=C2804D5:M5(2)320,1053
C2×C8×F5Direct product of C2×C8 and F580C2xC8xF5320,1054
C2×C8⋊F5Direct product of C2 and C8⋊F580C2xC8:F5320,1055
C20.12C425th non-split extension by C20 of C42 acting via C42/C4=C4804C20.12C4^2320,1056
C2×C40⋊C4Direct product of C2 and C40⋊C480C2xC40:C4320,1057
C2×D5.D8Direct product of C2 and D5.D880C2xD5.D8320,1058
(C2×C8)⋊6F54th semidirect product of C2×C8 and F5 acting via F5/D5=C2804(C2xC8):6F5320,1059
(C8×D5).C46th non-split extension by C8×D5 of C4 acting via C4/C2=C2804(C8xD5).C4320,1062
M4(2)⋊5F5The semidirect product of M4(2) and F5 acting through Inn(M4(2))808M4(2):5F5320,1066
M4(2).1F51st non-split extension by M4(2) of F5 acting via F5/D5=C2808M4(2).1F5320,1067
D85F5The semidirect product of D8 and F5 acting through Inn(D8)808-D8:5F5320,1070
D8⋊F54th semidirect product of D8 and F5 acting via F5/D5=C2808-D8:F5320,1071
SD163F5The semidirect product of SD16 and F5 acting through Inn(SD16)808SD16:3F5320,1074
SD162F52nd semidirect product of SD16 and F5 acting via F5/D5=C2808SD16:2F5320,1075
Q16×F5Direct product of Q16 and F5808-Q16xF5320,1076
Dic20⋊C43rd semidirect product of Dic20 and C4 acting faithfully808-Dic20:C4320,1077
Q165F5The semidirect product of Q16 and F5 acting through Inn(Q16)808+Q16:5F5320,1078
Q16⋊F54th semidirect product of Q16 and F5 acting via F5/D5=C2808+Q16:F5320,1079
C2×D10.D4Direct product of C2 and D10.D480C2xD10.D4320,1082
C23⋊F55C2The semidirect product of C23⋊F5 and C2 acting through Inn(C23⋊F5)804C2^3:F5:5C2320,1083
D10.11M4(2)7th non-split extension by D10 of M4(2) acting via M4(2)/C2×C4=C280D10.11M4(2)320,1091
D109M4(2)3rd semidirect product of D10 and M4(2) acting via M4(2)/C2×C4=C280D10:9M4(2)320,1093
D1010M4(2)4th semidirect product of D10 and M4(2) acting via M4(2)/C2×C4=C280D10:10M4(2)320,1094
(C4×D5).D454th non-split extension by C4×D5 of D4 acting via D4/C2=C22804(C4xD5).D4320,1099
C2×D10.3Q8Direct product of C2 and D10.3Q880C2xD10.3Q8320,1100
C4×C22⋊F5Direct product of C4 and C22⋊F580C4xC2^2:F5320,1101
(C22×C4)⋊7F53rd semidirect product of C22×C4 and F5 acting via F5/D5=C280(C2^2xC4):7F5320,1102
D106(C4⋊C4)5th semidirect product of D10 and C4⋊C4 acting via C4⋊C4/C2×C4=C280D10:6(C4:C4)320,1103
C2×D20⋊C4Direct product of C2 and D20⋊C480C2xD20:C4320,1104
C2×D4⋊F5Direct product of C2 and D4⋊F580C2xD4:F5320,1106
(C2×D4)⋊6F54th semidirect product of C2×D4 and F5 acting via F5/D5=C2808-(C2xD4):6F5320,1107
(C2×D4)⋊8F56th semidirect product of C2×D4 and F5 acting via F5/D5=C2808-(C2xD4):8F5320,1109
(C2×D4).9F56th non-split extension by C2×D4 of F5 acting via F5/D5=C2808-(C2xD4).9F5320,1115
C2.(D4×F5)25th central stem extension by C2 of D4×F580C2.(D4xF5)320,1118
C2×Q8⋊F5Direct product of C2 and Q8⋊F580C2xQ8:F5320,1119
(C2×Q8)⋊4F52nd semidirect product of C2×Q8 and F5 acting via F5/D5=C2808-(C2xQ8):4F5320,1120
C2×Q82F5Direct product of C2 and Q82F580C2xQ8:2F5320,1121
(C2×Q8)⋊6F54th semidirect product of C2×Q8 and F5 acting via F5/D5=C2808+(C2xQ8):6F5320,1122
(C2×Q8)⋊7F55th semidirect product of C2×Q8 and F5 acting via F5/D5=C2808+(C2xQ8):7F5320,1123
(C2×Q8).7F54th non-split extension by C2×Q8 of F5 acting via F5/D5=C2808-(C2xQ8).7F5320,1127
(C2×F5)⋊Q8The semidirect product of C2×F5 and Q8 acting via Q8/C4=C280(C2xF5):Q8320,1128
C4○D20⋊C43rd semidirect product of C4○D20 and C4 acting faithfully808C4oD20:C4320,1132
D4⋊F5⋊C26th semidirect product of D4⋊F5 and C2 acting faithfully808D4:F5:C2320,1133
C2×C23⋊F5Direct product of C2 and C23⋊F580C2xC2^3:F5320,1134
C24.4F52nd non-split extension by C24 of F5 acting via F5/D5=C280C2^4.4F5320,1136
C2×C23.F5Direct product of C2 and C23.F580C2xC2^3.F5320,1137
C232Dic102nd semidirect product of C23 and Dic10 acting via Dic10/C10=C2280C2^3:2Dic10320,1155
C2×D5×C22⋊C4Direct product of C2, D5 and C22⋊C480C2xD5xC2^2:C4320,1156
C24.24D1024th non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.24D10320,1158
C2×C22⋊D20Direct product of C2 and C22⋊D2080C2xC2^2:D20320,1159
C24.27D1027th non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.27D10320,1162
C233D202nd semidirect product of C23 and D20 acting via D20/C10=C2280C2^3:3D20320,1165
C24.30D1030th non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.30D10320,1166
C24.31D1031st non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.31D10320,1167
D5×C42⋊C2Direct product of D5 and C42⋊C280D5xC4^2:C2320,1192
C427D107th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:7D10320,1193
C428D108th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:8D10320,1196
C429D109th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:9D10320,1197
C4210D1010th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:10D10320,1199
C4×D4×D5Direct product of C4, D4 and D580C4xD4xD5320,1216
C4211D1011st semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:11D10320,1217
C4212D1012nd semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:12D10320,1219
D4×D20Direct product of D4 and D2080D4xD20320,1221
D2023D41st semidirect product of D20 and D4 acting through Inn(D20)80D20:23D4320,1222
D45D201st semidirect product of D4 and D20 acting through Inn(D4)80D4:5D20320,1226
C4216D1016th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:16D10320,1228
C4217D1017th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:17D10320,1232
C24.56D1014th non-split extension by C24 of D10 acting via D10/D5=C280C2^4.56D10320,1258
C24.32D1032nd non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.32D10320,1259
C243D102nd semidirect product of C24 and D10 acting via D10/C5=C2280C2^4:3D10320,1261
C244D103rd semidirect product of C24 and D10 acting via D10/C5=C2280C2^4:4D10320,1262
C24.33D1033rd non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.33D10320,1263
C24.34D1034th non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.34D10320,1264
C24.35D1035th non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.35D10320,1265
C245D104th semidirect product of C24 and D10 acting via D10/C5=C2280C2^4:5D10320,1266
C24.36D1036th non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.36D10320,1267
D5×C4⋊D4Direct product of D5 and C4⋊D480D5xC4:D4320,1276
C10.372+ 1+437th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.37ES+(2,2)320,1277
C4⋊C421D104th semidirect product of C4⋊C4 and D10 acting via D10/D5=C280C4:C4:21D10320,1278
C10.382+ 1+438th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.38ES+(2,2)320,1279
D2019D47th semidirect product of D20 and D4 acting via D4/C22=C280D20:19D4320,1281
C10.402+ 1+440th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.40ES+(2,2)320,1282
D2020D48th semidirect product of D20 and D4 acting via D4/C22=C280D20:20D4320,1284
C10.422+ 1+442nd non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.42ES+(2,2)320,1285
C10.462+ 1+446th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.46ES+(2,2)320,1289
C10.482+ 1+448th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.48ES+(2,2)320,1292
D5×C22⋊Q8Direct product of D5 and C22⋊Q880D5xC2^2:Q8320,1298
C4⋊C426D109th semidirect product of C4⋊C4 and D10 acting via D10/D5=C280C4:C4:26D10320,1299
D2021D49th semidirect product of D20 and D4 acting via D4/C22=C280D20:21D4320,1302
C10.512+ 1+451st non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.51ES+(2,2)320,1306
C10.532+ 1+453rd non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.53ES+(2,2)320,1309
C10.562+ 1+456th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.56ES+(2,2)320,1316
D5×C22.D4Direct product of D5 and C22.D480D5xC2^2.D4320,1324
C10.1202+ 1+429th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C280C10.120ES+(2,2)320,1325
C10.1212+ 1+430th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C280C10.121ES+(2,2)320,1326
C4⋊C428D1011st semidirect product of C4⋊C4 and D10 acting via D10/D5=C280C4:C4:28D10320,1328
C10.612+ 1+461st non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.61ES+(2,2)320,1329
C10.1222+ 1+431st non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C280C10.122ES+(2,2)320,1330
C10.622+ 1+462nd non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.62ES+(2,2)320,1331
C10.682+ 1+468th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C280C10.68ES+(2,2)320,1338
D5×C4.4D4Direct product of D5 and C4.4D480D5xC4.4D4320,1345
C4218D1018th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:18D10320,1346
D2010D43rd semidirect product of D20 and D4 acting via D4/C4=C280D20:10D4320,1348
C4220D1020th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:20D10320,1350
C4221D1021st semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:21D10320,1351
C4222D1022nd semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:22D10320,1355
D5×C422C2Direct product of D5 and C422C280D5xC4^2:2C2320,1375
C4223D1023rd semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:23D10320,1376
C4224D1024th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:24D10320,1377
C4225D1025th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:25D10320,1383
D5×C41D4Direct product of D5 and C41D480D5xC4:1D4320,1386
C4226D1026th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:26D10320,1387
D2011D44th semidirect product of D20 and D4 acting via D4/C4=C280D20:11D4320,1389
C4228D1028th semidirect product of C42 and D10 acting via D10/C5=C2280C4^2:28D10320,1392
C2×D5×M4(2)Direct product of C2, D5 and M4(2)80C2xD5xM4(2)320,1415
C40.47C2340th non-split extension by C40 of C23 acting via C23/C2=C22804C40.47C2^3320,1417
C2×C8⋊D10Direct product of C2 and C8⋊D1080C2xC8:D10320,1418
C40.9C232nd non-split extension by C40 of C23 acting via C23/C2=C22804C40.9C2^3320,1420
D5×C8○D4Direct product of D5 and C8○D4804D5xC8oD4320,1421
C20.72C2419th non-split extension by C20 of C24 acting via C24/C23=C2804C20.72C2^4320,1422
D4.11D201st non-split extension by D4 of D20 acting through Inn(D4)804D4.11D20320,1423
D4.12D202nd non-split extension by D4 of D20 acting through Inn(D4)804+D4.12D20320,1424
C2×D5×D8Direct product of C2, D5 and D880C2xD5xD8320,1426
C2×D8⋊D5Direct product of C2 and D8⋊D580C2xD8:D5320,1427
D813D102nd semidirect product of D8 and D10 acting through Inn(D8)804D8:13D10320,1429
C2×D5×SD16Direct product of C2, D5 and SD1680C2xD5xSD16320,1430
C2×D40⋊C2Direct product of C2 and D40⋊C280C2xD40:C2320,1431
D20.29D412nd non-split extension by D20 of D4 acting via D4/C4=C2804D20.29D4320,1434
D5×C4○D8Direct product of D5 and C4○D8804D5xC4oD8320,1439
Q16⋊D104th semidirect product of Q16 and D10 acting via D10/C10=C2804Q16:D10320,1440
D815D104th semidirect product of D8 and D10 acting through Inn(D8)804+D8:15D10320,1441
D811D105th semidirect product of D8 and D10 acting via D10/C10=C2804D8:11D10320,1442
SD16⋊D102nd semidirect product of SD16 and D10 acting via D10/D5=C2808-SD16:D10320,1445
D85D105th semidirect product of D8 and D10 acting via D10/D5=C2808+D8:5D10320,1446
D86D106th semidirect product of D8 and D10 acting via D10/D5=C2808-D8:6D10320,1447
D5×C8.C22Direct product of D5 and C8.C22808-D5xC8.C2^2320,1448
D40⋊C223rd semidirect product of D40 and C22 acting faithfully808+D40:C2^2320,1449
C40.C236th non-split extension by C40 of C23 acting faithfully808+C40.C2^3320,1450
C24.72D1012nd non-split extension by C24 of D10 acting via D10/C10=C280C2^4.72D10320,1463
C2×D4.D10Direct product of C2 and D4.D1080C2xD4.D10320,1465
C24.38D1038th non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.38D10320,1470
C2×C23⋊D10Direct product of C2 and C23⋊D1080C2xC2^3:D10320,1471
D4×C5⋊D4Direct product of D4 and C5⋊D480D4xC5:D4320,1473
C248D107th semidirect product of C24 and D10 acting via D10/C5=C2280C2^4:8D10320,1476
C24.41D1041st non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.41D10320,1477
C24.42D1042nd non-split extension by C24 of D10 acting via D10/C5=C2280C2^4.42D10320,1478
C20.76C2423rd non-split extension by C20 of C24 acting via C24/C23=C2804C20.76C2^4320,1491
C2×D4⋊D10Direct product of C2 and D4⋊D1080C2xD4:D10320,1492
C20.C2435th non-split extension by C20 of C24 acting via C24/C22=C22804C20.C2^4320,1494
(C2×C20)⋊15D411st semidirect product of C2×C20 and D4 acting via D4/C2=C2280(C2xC20):15D4320,1500
C10.1452+ 1+454th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C280C10.145ES+(2,2)320,1501
C10.1462+ 1+455th non-split extension by C10 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C280C10.146ES+(2,2)320,1502
D20.32C2313rd non-split extension by D20 of C23 acting via C23/C22=C2808+D20.32C2^3320,1507
D20.33C2314th non-split extension by D20 of C23 acting via C23/C22=C2808-D20.33C2^3320,1508
D20.34C2315th non-split extension by D20 of C23 acting via C23/C22=C2808+D20.34C2^3320,1509
C2×C242D5Direct product of C2 and C242D580C2xC2^4:2D5320,1512
C5×C22.11C24Direct product of C5 and C22.11C2480C5xC2^2.11C2^4320,1520
C10×C22≀C2Direct product of C10 and C22≀C280C10xC2^2wrC2320,1523
C5×C22.19C24Direct product of C5 and C22.19C2480C5xC2^2.19C2^4320,1527
C5×C233D4Direct product of C5 and C233D480C5xC2^3:3D4320,1536
C5×C22.29C24Direct product of C5 and C22.29C2480C5xC2^2.29C2^4320,1537
C5×C22.32C24Direct product of C5 and C22.32C2480C5xC2^2.32C2^4320,1540
C5×C232Q8Direct product of C5 and C232Q880C5xC2^3:2Q8320,1545
C5×D42Direct product of C5, D4 and D480C5xD4^2320,1547
C5×D45D4Direct product of C5 and D45D480C5xD4:5D4320,1548
C5×C22.45C24Direct product of C5 and C22.45C2480C5xC2^2.45C2^4320,1553
C5×C22.54C24Direct product of C5 and C22.54C2480C5xC2^2.54C2^4320,1562
C5×C24⋊C22Direct product of C5 and C24⋊C2280C5xC2^4:C2^2320,1563
C5×Q8○M4(2)Direct product of C5 and Q8○M4(2)804C5xQ8oM4(2)320,1570
C10×C8⋊C22Direct product of C10 and C8⋊C2280C10xC8:C2^2320,1575
C5×D8⋊C22Direct product of C5 and D8⋊C22804C5xD8:C2^2320,1577
C5×D4○D8Direct product of C5 and D4○D8804C5xD4oD8320,1578
C5×D4○SD16Direct product of C5 and D4○SD16804C5xD4oSD16320,1579
C2×D5⋊M4(2)Direct product of C2 and D5⋊M4(2)80C2xD5:M4(2)320,1589
C22×C4×F5Direct product of C22×C4 and F580C2^2xC4xF5320,1590
C22×C4⋊F5Direct product of C22 and C4⋊F580C2^2xC4:F5320,1591
C2×D10.C23Direct product of C2 and D10.C2380C2xD10.C2^3320,1592
Dic5.C2418th non-split extension by Dic5 of C24 acting via C24/C23=C2808-Dic5.C2^4320,1594
Dic5.20C2420th non-split extension by Dic5 of C24 acting via C24/C23=C2808+Dic5.20C2^4320,1598
C2×Q8×F5Direct product of C2, Q8 and F580C2xQ8xF5320,1599
D5.2- 1+4The non-split extension by D5 of 2- 1+4 acting via 2- 1+4/C2×Q8=C2808-D5.ES-(2,2)320,1600
Dic5.21C2421st non-split extension by Dic5 of C24 acting via C24/C23=C2808Dic5.21C2^4320,1601
Dic5.22C2422nd non-split extension by Dic5 of C24 acting via C24/C23=C2808Dic5.22C2^4320,1602
C22×C22⋊F5Direct product of C22 and C22⋊F580C2^2xC2^2:F5320,1607
C22×D4×D5Direct product of C22, D4 and D580C2^2xD4xD5320,1612
C2×D46D10Direct product of C2 and D46D1080C2xD4:6D10320,1614
C2×D5×C4○D4Direct product of C2, D5 and C4○D480C2xD5xC4oD4320,1618
C2×D48D10Direct product of C2 and D48D1080C2xD4:8D10320,1619
C10.C2514th non-split extension by C10 of C25 acting via C25/C24=C2804C10.C2^5320,1621
D20.37C2318th non-split extension by D20 of C23 acting via C23/C22=C2808-D20.37C2^3320,1623
D5×2- 1+4Direct product of D5 and 2- 1+4808-D5xES-(2,2)320,1624
D20.39C2320th non-split extension by D20 of C23 acting via C23/C22=C2808+D20.39C2^3320,1625
C10×2+ 1+4Direct product of C10 and 2+ 1+480C10xES+(2,2)320,1632
C5×C2.C25Direct product of C5 and C2.C25804C5xC2.C2^5320,1634
C24×F5Direct product of C24 and F580C2^4xF5320,1638

Groups of order 400

dρLabelID
C5×C52C16Direct product of C5 and C52C16802C5xC5:2C16400,49
C5×C5⋊C16Direct product of C5 and C5⋊C16804C5xC5:C16400,56
C523C162nd semidirect product of C52 and C16 acting via C16/C4=C4804C5^2:3C16400,57
C525C164th semidirect product of C52 and C16 acting via C16/C4=C4804C5^2:5C16400,59
D5×C52C8Direct product of D5 and C52C8804D5xC5:2C8400,60
C20.30D104th non-split extension by C20 of D10 acting via D10/D5=C2804C20.30D10400,62
C522D81st semidirect product of C52 and D8 acting via D8/C4=C22804C5^2:2D8400,64
D20.D52nd non-split extension by D20 of D5 acting via D5/C5=C2804D20.D5400,66
C523SD162nd semidirect product of C52 and SD16 acting via SD16/C4=C22804-C5^2:3SD16400,67
C522Q161st semidirect product of C52 and Q16 acting via Q16/C4=C22804C5^2:2Q16400,69
C523Q162nd semidirect product of C52 and Q16 acting via Q16/C4=C22804-C5^2:3Q16400,70
Dic52Direct product of Dic5 and Dic580Dic5^2400,71
D10⋊Dic51st semidirect product of D10 and Dic5 acting via Dic5/C10=C280D10:Dic5400,72
Dic5⋊Dic51st semidirect product of Dic5 and Dic5 acting via Dic5/C10=C280Dic5:Dic5400,74
C10.Dic102nd non-split extension by C10 of Dic10 acting via Dic10/Dic5=C280C10.Dic10400,75
D5×C40Direct product of C40 and D5802D5xC40400,76
C5×C8⋊D5Direct product of C5 and C8⋊D5802C5xC8:D5400,77
C5×C40⋊C2Direct product of C5 and C40⋊C2802C5xC40:C2400,78
C5×D40Direct product of C5 and D40802C5xD40400,79
C5×Dic20Direct product of C5 and Dic20802C5xDic20400,80
C10×C52C8Direct product of C10 and C52C880C10xC5:2C8400,81
Dic5×C20Direct product of C20 and Dic580Dic5xC20400,83
C5×C10.D4Direct product of C5 and C10.D480C5xC10.D4400,84
C5×C4⋊Dic5Direct product of C5 and C4⋊Dic580C5xC4:Dic5400,85
C5×D10⋊C4Direct product of C5 and D10⋊C480C5xD10:C4400,86
C5×Q8⋊D5Direct product of C5 and Q8⋊D5804C5xQ8:D5400,89
C5×C5⋊Q16Direct product of C5 and C5⋊Q16804C5xC5:Q16400,90
C52⋊C16The semidirect product of C52 and C16 acting via C16/C2=C8808-C5^2:C16400,116
Dic5×F5Direct product of Dic5 and F5808-Dic5xF5400,117
D5.Dic10The non-split extension by D5 of Dic10 acting via Dic10/Dic5=C2808-D5.Dic10400,119
D5×C5⋊C8Direct product of D5 and C5⋊C8808-D5xC5:C8400,120
D10.F51st non-split extension by D10 of F5 acting via F5/D5=C2808-D10.F5400,122
D10.2F52nd non-split extension by D10 of F5 acting via F5/D5=C2808-D10.2F5400,127
C524M4(2)3rd semidirect product of C52 and M4(2) acting via M4(2)/C2=C2×C4808-C5^2:4M4(2)400,128
C52⋊Q16The semidirect product of C52 and Q16 acting via Q16/C2=D4804-C5^2:Q16400,133
C5×D5⋊C8Direct product of C5 and D5⋊C8804C5xD5:C8400,135
C5×C4.F5Direct product of C5 and C4.F5804C5xC4.F5400,136
C20×F5Direct product of C20 and F5804C20xF5400,137
C5×C4⋊F5Direct product of C5 and C4⋊F5804C5xC4:F5400,138
C10×C5⋊C8Direct product of C10 and C5⋊C880C10xC5:C8400,139
C20.14F53rd non-split extension by C20 of F5 acting via F5/D5=C2804C20.14F5400,142
C20.12F51st non-split extension by C20 of F5 acting via F5/D5=C2804C20.12F5400,143
C4×D5.D5Direct product of C4 and D5.D5804C4xD5.D5400,144
C205F51st semidirect product of C20 and F5 acting via F5/D5=C2804C20:5F5400,145
C2×C523C8Direct product of C2 and C523C880C2xC5^2:3C8400,146
C2×C525C8Direct product of C2 and C525C880C2xC5^2:5C8400,160
D5×Dic10Direct product of D5 and Dic10804-D5xDic10400,163
D205D5The semidirect product of D20 and D5 acting through Inn(D20)804-D20:5D5400,164
C2×D5×Dic5Direct product of C2, D5 and Dic580C2xD5xDic5400,172
C2×C522D4Direct product of C2 and C522D480C2xC5^2:2D4400,176
C2×C522Q8Direct product of C2 and C522Q880C2xC5^2:2Q8400,178
C10×Dic10Direct product of C10 and Dic1080C10xDic10400,181
D5×C2×C20Direct product of C2×C20 and D580D5xC2xC20400,182
C10×D20Direct product of C10 and D2080C10xD20400,183
C5×Q8×D5Direct product of C5, Q8 and D5804C5xQ8xD5400,187
C5×Q82D5Direct product of C5 and Q82D5804C5xQ8:2D5400,188
Dic5×C2×C10Direct product of C2×C10 and Dic580Dic5xC2xC10400,189
F5×C2×C10Direct product of C2×C10 and F580F5xC2xC10400,214
C22×D5.D5Direct product of C22 and D5.D580C2^2xD5.D5400,215
D5×C22×C10Direct product of C22×C10 and D580D5xC2^2xC10400,219

Groups of order 480

dρLabelID
(C4×C20)⋊C61st semidirect product of C4×C20 and C6 acting faithfully806(C4xC20):C6480,263
C5×C42⋊C6Direct product of C5 and C42⋊C6806C5xC4^2:C6480,657
C2×C2.S5Direct product of C2 and C2.S580C2xC2.S5480,950
Dic5.6S41st non-split extension by Dic5 of S4 acting through Inn(Dic5)804Dic5.6S4480,968
Dic5.7S42nd non-split extension by Dic5 of S4 acting through Inn(Dic5)804+Dic5.7S4480,969
GL2(𝔽3)⋊D51st semidirect product of GL2(𝔽3) and D5 acting via D5/C5=C2804+GL(2,3):D5480,970
D5×CSU2(𝔽3)Direct product of D5 and CSU2(𝔽3)804-D5xCSU(2,3)480,971
D10.1S41st non-split extension by D10 of S4 acting via S4/A4=C2804-D10.1S4480,972
D10.2S42nd non-split extension by D10 of S4 acting via S4/A4=C2804D10.2S4480,973
C10×GL2(𝔽3)Direct product of C10 and GL2(𝔽3)80C10xGL(2,3)480,1017
C5×Q8.D6Direct product of C5 and Q8.D6804C5xQ8.D6480,1018
C5×C4.6S4Direct product of C5 and C4.6S4802C5xC4.6S4480,1020
C5×C4.3S4Direct product of C5 and C4.3S4804C5xC4.3S4480,1021
C2×Q8⋊D15Direct product of C2 and Q8⋊D1580C2xQ8:D15480,1028
Q8.D302nd non-split extension by Q8 of D30 acting via D30/C10=S3804Q8.D30480,1029
C20.6S46th non-split extension by C20 of S4 acting via S4/A4=C2804C20.6S4480,1031
C20.3S43rd non-split extension by C20 of S4 acting via S4/A4=C2804+C20.3S4480,1032
C2×D5×SL2(𝔽3)Direct product of C2, D5 and SL2(𝔽3)80C2xD5xSL(2,3)480,1039
SL2(𝔽3).11D101st non-split extension by SL2(𝔽3) of D10 acting through Inn(SL2(𝔽3))804SL(2,3).11D10480,1040
D5×C4.A4Direct product of D5 and C4.A4804D5xC4.A4480,1042
D20.A4The non-split extension by D20 of A4 acting through Inn(D20)804-D20.A4480,1043
C5×D4.A4Direct product of C5 and D4.A4804C5xD4.A4480,1132

On 81 points

Groups of order 81

dρLabelID
C81Cyclic group811C8181,1
C92Abelian group of type [9,9]81C9^281,2
C9⋊C9The semidirect product of C9 and C9 acting via C9/C3=C381C9:C981,4
C3×C27Abelian group of type [3,27]81C3xC2781,5
C32×C9Abelian group of type [3,3,9]81C3^2xC981,11
C34Elementary abelian group of type [3,3,3,3]81C3^481,15

Groups of order 162

dρLabelID
D81Dihedral group812+D81162,1
C9⋊D9The semidirect product of C9 and D9 acting via D9/C9=C281C9:D9162,16
C27⋊S3The semidirect product of C27 and S3 acting via S3/C3=C281C27:S3162,18
C324D92nd semidirect product of C32 and D9 acting via D9/C9=C281C3^2:4D9162,45
C34⋊C24th semidirect product of C34 and C2 acting faithfully81C3^4:C2162,54

Groups of order 243

dρLabelID
C32.24He31st central stem extension by C32 of He381C3^2.24He3243,3
C33.C322nd non-split extension by C33 of C32 acting faithfully81C3^3.C3^2243,4
C33.3C323rd non-split extension by C33 of C32 acting faithfully81C3^3.3C3^2243,5
C32.27He34th central stem extension by C32 of He381C3^2.27He3243,6
C32.28He35th central stem extension by C32 of He381C3^2.28He3243,7
C32.29He36th central stem extension by C32 of He381C3^2.29He3243,8
C33.7C327th non-split extension by C33 of C32 acting faithfully81C3^3.7C3^2243,9
C32⋊C27The semidirect product of C32 and C27 acting via C27/C9=C381C3^2:C27243,12
C32.19He33rd central extension by C32 of He381C3^2.19He3243,14
C32.20He34th central extension by C32 of He381C3^2.20He3243,15
He3⋊C9The semidirect product of He3 and C9 acting via C9/C3=C381He3:C9243,17
3- 1+2⋊C9The semidirect product of 3- 1+2 and C9 acting via C9/C3=C381ES-(3,1):C9243,18
C9.5He33rd central extension by C9 of He3813C9.5He3243,19
C9.6He34th central extension by C9 of He3813C9.6He3243,20
C81⋊C3The semidirect product of C81 and C3 acting faithfully813C81:C3243,24
C3×C32⋊C9Direct product of C3 and C32⋊C981C3xC3^2:C9243,32
C923C33rd semidirect product of C92 and C3 acting faithfully81C9^2:3C3243,34
C9×He3Direct product of C9 and He381C9xHe3243,35
C9×3- 1+2Direct product of C9 and 3- 1+281C9xES-(3,1)243,36
C9⋊He3The semidirect product of C9 and He3 acting via He3/C32=C381C9:He3243,39
C32.23C334th central stem extension by C32 of C3381C3^2.23C3^3243,40
C9⋊3- 1+2The semidirect product of C9 and 3- 1+2 acting via 3- 1+2/C32=C381C9:ES-(3,1)243,41
C33.31C3214th non-split extension by C33 of C32 acting via C32/C3=C381C3^3.31C3^2243,42
C927C37th semidirect product of C92 and C3 acting faithfully81C9^2:7C3243,43
C924C34th semidirect product of C92 and C3 acting faithfully81C9^2:4C3243,44
C925C35th semidirect product of C92 and C3 acting faithfully81C9^2:5C3243,45
C928C38th semidirect product of C92 and C3 acting faithfully81C9^2:8C3243,46
C929C39th semidirect product of C92 and C3 acting faithfully81C9^2:9C3243,47
C3×C27⋊C3Direct product of C3 and C27⋊C381C3xC27:C3243,49
C27○He3Central product of C27 and He3813C27oHe3243,50
C3×He3.C3Direct product of C3 and He3.C381C3xHe3.C3243,52
C3×He3⋊C3Direct product of C3 and He3⋊C381C3xHe3:C3243,53
C3×C3.He3Direct product of C3 and C3.He381C3xC3.He3243,54
C32×He3Direct product of C32 and He381C3^2xHe3243,62
C32×3- 1+2Direct product of C32 and 3- 1+281C3^2xES-(3,1)243,63
C3×C9○He3Direct product of C3 and C9○He381C3xC9oHe3243,64

Groups of order 486

dρLabelID
C32⋊D271st semidirect product of C32 and D27 acting via D27/C9=S381C3^2:D27486,17
He3⋊C18The semidirect product of He3 and C18 acting via C18/C3=C681He3:C18486,24
He3⋊D91st semidirect product of He3 and D9 acting via D9/C3=S381He3:D9486,25
He3.C181st non-split extension by He3 of C18 acting via C18/C3=C6813He3.C18486,26
He3.D91st non-split extension by He3 of D9 acting via D9/C3=S3816+He3.D9486,27
He3.2C182nd non-split extension by He3 of C18 acting via C18/C3=C6813He3.2C18486,28
He3.2D92nd non-split extension by He3 of D9 acting via D9/C3=S3816+He3.2D9486,29
C81⋊C6The semidirect product of C81 and C6 acting faithfully816+C81:C6486,34
(C3×He3)⋊S32nd semidirect product of C3×He3 and S3 acting faithfully81(C3xHe3):S3486,43
(C3×He3).S34th non-split extension by C3×He3 of S3 acting faithfully81(C3xHe3).S3486,44
C33.(C3⋊S3)3rd non-split extension by C33 of C3⋊S3 acting faithfully81C3^3.(C3:S3)486,45
C32⋊C96S36th semidirect product of C32⋊C9 and S3 acting faithfully81C3^2:C9:6S3486,46
C3.(C33⋊S3)5th non-split extension by C3 of C33⋊S3 acting via C33⋊S3/C3≀C3=C281C3.(C3^3:S3)486,47
C3.(He3⋊S3)3rd non-split extension by C3 of He3⋊S3 acting via He3⋊S3/He3⋊C3=C281C3.(He3:S3)486,48
C32⋊C9.10S310th non-split extension by C32⋊C9 of S3 acting faithfully81C3^2:C9.10S3486,49
(C3×C9)⋊5D95th semidirect product of C3×C9 and D9 acting via D9/C3=S381(C3xC9):5D9486,53
(C3×C9)⋊6D96th semidirect product of C3×C9 and D9 acting via D9/C3=S381(C3xC9):6D9486,54
He32D92nd semidirect product of He3 and D9 acting via D9/C3=S381He3:2D9486,56
3- 1+2⋊D9The semidirect product of 3- 1+2 and D9 acting via D9/C3=S381ES-(3,1):D9486,57
He3.3D93rd non-split extension by He3 of D9 acting via D9/C3=S3816+He3.3D9486,58
He3.4D94th non-split extension by He3 of D9 acting via D9/C3=S3816+He3.4D9486,59
C3×He3.C6Direct product of C3 and He3.C681C3xHe3.C6486,118
C3×He3.2C6Direct product of C3 and He3.2C681C3xHe3.2C6486,121
C33⋊D95th semidirect product of C33 and D9 acting via D9/C3=S381C3^3:D9486,137
C923C63rd semidirect product of C92 and C6 acting faithfully81C9^2:3C6486,141
He33D91st semidirect product of He3 and D9 acting via D9/C9=C281He3:3D9486,142
C9×He3⋊C2Direct product of C9 and He3⋊C281C9xHe3:C2486,143
C929C69th semidirect product of C92 and C6 acting faithfully81C9^2:9C6486,144
C9⋊He32C22nd semidirect product of C9⋊He3 and C2 acting faithfully81C9:He3:2C2486,148
(C32×C9)⋊C612nd semidirect product of C32×C9 and C6 acting faithfully81(C3^2xC9):C6486,151
C9210C610th semidirect product of C92 and C6 acting faithfully81C9^2:10C6486,154
C924C64th semidirect product of C92 and C6 acting faithfully81C9^2:4C6486,155
C925C65th semidirect product of C92 and C6 acting faithfully81C9^2:5C6486,157
C9211C611st semidirect product of C92 and C6 acting faithfully81C9^2:11C6486,158
C9212C612nd semidirect product of C92 and C6 acting faithfully81C9^2:12C6486,159
C33.5D95th non-split extension by C33 of D9 acting via D9/C3=S381C3^3.5D9486,162
He3.5D9The non-split extension by He3 of D9 acting via D9/C9=C2816+He3.5D9486,163
He3.5C18The non-split extension by He3 of C18 acting via C18/C9=C2813He3.5C18486,164
C324D9⋊C35th semidirect product of C324D9 and C3 acting faithfully81C3^2:4D9:C3486,170
He3⋊C33S32nd semidirect product of He3⋊C3 and S3 acting via S3/C3=C281He3:C3:3S3486,173
He3.(C3⋊S3)4th non-split extension by He3 of C3⋊S3 acting via C3⋊S3/C3=S381He3.(C3:S3)486,186
C3⋊(He3⋊S3)The semidirect product of C3 and He3⋊S3 acting via He3⋊S3/He3⋊C3=C281C3:(He3:S3)486,187
(C32×C9).S316th non-split extension by C32×C9 of S3 acting faithfully81(C3^2xC9).S3486,188
C32×He3⋊C2Direct product of C32 and He3⋊C281C3^2xHe3:C2486,230
C3×He3.4C6Direct product of C3 and He3.4C681C3xHe3.4C6486,235
C3410C610th semidirect product of C34 and C6 acting faithfully81C3^4:10C6486,242
C34.11S311st non-split extension by C34 of S3 acting faithfully81C3^4.11S3486,244
C9○He33S31st semidirect product of C9○He3 and S3 acting via S3/C3=C281C9oHe3:3S3486,245

On 82 points

Groups of order 82

dρLabelID
C82Cyclic group821C8282,2

Groups of order 164

dρLabelID
D82Dihedral group; = C2×D41822+D82164,4

Groups of order 328

dρLabelID
C2×C41⋊C4Direct product of C2 and C41⋊C4824+C2xC41:C4328,13

Groups of order 410

dρLabelID
C2×C41⋊C5Direct product of C2 and C41⋊C5825C2xC41:C5410,2

On 83 points

Groups of order 83

dρLabelID
C83Cyclic group831C8383,1

Groups of order 166

dρLabelID
D83Dihedral group832+D83166,1

On 84 points

Groups of order 84

dρLabelID
C7×Dic3Direct product of C7 and Dic3842C7xDic384,3
C3×Dic7Direct product of C3 and Dic7842C3xDic784,4
Dic21Dicyclic group; = C3Dic7842-Dic2184,5
C84Cyclic group841C8484,6
C2×C42Abelian group of type [2,42]84C2xC4284,15

Groups of order 168

dρLabelID
Dic3×D7Direct product of Dic3 and D7844-Dic3xD7168,12
S3×Dic7Direct product of S3 and Dic7844-S3xDic7168,13
D21⋊C4The semidirect product of D21 and C4 acting via C4/C2=C2844+D21:C4168,14
C21⋊D41st semidirect product of C21 and D4 acting via D4/C2=C22844-C21:D4168,15
C3⋊D28The semidirect product of C3 and D28 acting via D28/D14=C2844+C3:D28168,16
C7⋊D12The semidirect product of C7 and D12 acting via D12/D6=C2844+C7:D12168,17
C12×D7Direct product of C12 and D7842C12xD7168,25
C3×D28Direct product of C3 and D28842C3xD28168,26
C3×C7⋊D4Direct product of C3 and C7⋊D4842C3xC7:D4168,28
S3×C28Direct product of C28 and S3842S3xC28168,30
C7×D12Direct product of C7 and D12842C7xD12168,31
C7×C3⋊D4Direct product of C7 and C3⋊D4842C7xC3:D4168,33
C4×D21Direct product of C4 and D21842C4xD21168,35
D84Dihedral group842+D84168,36
C217D41st semidirect product of C21 and D4 acting via D4/C22=C2842C21:7D4168,38
D4×C21Direct product of C21 and D4842D4xC21168,40
C2×C6×D7Direct product of C2×C6 and D784C2xC6xD7168,54
S3×C2×C14Direct product of C2×C14 and S384S3xC2xC14168,55
C22×D21Direct product of C22 and D2184C2^2xD21168,56

Groups of order 252

dρLabelID
C3×C7⋊C12Direct product of C3 and C7⋊C12846C3xC7:C12252,16
Dic3×C7⋊C3Direct product of Dic3 and C7⋊C3846Dic3xC7:C3252,17
C6.F7The non-split extension by C6 of F7 acting via F7/C7⋊C3=C2846-C6.F7252,18
C12×C7⋊C3Direct product of C12 and C7⋊C3843C12xC7:C3252,19
Dic3×C21Direct product of C21 and Dic3842Dic3xC21252,21
C3×Dic21Direct product of C3 and Dic21842C3xDic21252,22
C2×C6×C7⋊C3Direct product of C2×C6 and C7⋊C384C2xC6xC7:C3252,38
A4×C21Direct product of C21 and A4843A4xC21252,39
C3×C7⋊A4Direct product of C3 and C7⋊A4843C3xC7:A4252,40
S3×C42Direct product of C42 and S3842S3xC42252,42
C6×D21Direct product of C6 and D21842C6xD21252,43

Groups of order 336

dρLabelID
C7×C42⋊C3Direct product of C7 and C42⋊C3843C7xC4^2:C3336,56
C42⋊(C7⋊C3)The semidirect product of C42 and C7⋊C3 acting via C7⋊C3/C7=C3843C4^2:(C7:C3)336,57
C7×A4⋊C4Direct product of C7 and A4⋊C4843C7xA4:C4336,117
A4⋊Dic7The semidirect product of A4 and Dic7 acting via Dic7/C14=C2846-A4:Dic7336,120
A4×Dic7Direct product of A4 and Dic7846-A4xDic7336,133
Dic7⋊A4The semidirect product of Dic7 and A4 acting via A4/C22=C3846-Dic7:A4336,136
C4×S3×D7Direct product of C4, S3 and D7844C4xS3xD7336,147
D7×D12Direct product of D7 and D12844+D7xD12336,148
S3×D28Direct product of S3 and D28844+S3xD28336,149
C28⋊D62nd semidirect product of C28 and D6 acting via D6/C3=C22844C28:D6336,150
D7×C3⋊D4Direct product of D7 and C3⋊D4844D7xC3:D4336,161
S3×C7⋊D4Direct product of S3 and C7⋊D4844S3xC7:D4336,162
D6⋊D144th semidirect product of D6 and D14 acting via D14/D7=C2844+D6:D14336,163
A4×C28Direct product of C28 and A4843A4xC28336,168
C4×C7⋊A4Direct product of C4 and C7⋊A4843C4xC7:A4336,171
C3×D4×D7Direct product of C3, D4 and D7844C3xD4xD7336,178
S3×C7×D4Direct product of C7, S3 and D4844S3xC7xD4336,188
D4×D21Direct product of D4 and D21844+D4xD21336,198
C22×S3×D7Direct product of C22, S3 and D784C2^2xS3xD7336,219
A4×C2×C14Direct product of C2×C14 and A484A4xC2xC14336,221
C22×C7⋊A4Direct product of C22 and C7⋊A484C2^2xC7:A4336,222
C7×C22⋊A4Direct product of C7 and C22⋊A484C7xC2^2:A4336,223
C7⋊(C22⋊A4)The semidirect product of C7 and C22⋊A4 acting via C22⋊A4/C24=C384C7:(C2^2:A4)336,224

On 85 points

Groups of order 85

dρLabelID
C85Cyclic group851C8585,1

Groups of order 170

dρLabelID
D5×C17Direct product of C17 and D5852D5xC17170,1
C5×D17Direct product of C5 and D17852C5xD17170,2
D85Dihedral group852+D85170,3

Groups of order 340

dρLabelID
C5×C17⋊C4Direct product of C5 and C17⋊C4854C5xC17:C4340,5
C85⋊C43rd semidirect product of C85 and C4 acting faithfully854C85:C4340,6
C17×F5Direct product of C17 and F5854C17xF5340,7
C173F5The semidirect product of C17 and F5 acting via F5/D5=C2854C17:3F5340,8
C17⋊F51st semidirect product of C17 and F5 acting via F5/C5=C4854+C17:F5340,9
C852C42nd semidirect product of C85 and C4 acting faithfully854+C85:2C4340,10
D5×D17Direct product of D5 and D17854+D5xD17340,11

On 86 points

Groups of order 86

dρLabelID
C86Cyclic group861C8686,2

Groups of order 172

dρLabelID
D86Dihedral group; = C2×D43862+D86172,3

Groups of order 258

dρLabelID
C2×C43⋊C3Direct product of C2 and C43⋊C3863C2xC43:C3258,2

On 87 points

Groups of order 87

dρLabelID
C87Cyclic group871C8787,1

Groups of order 174

dρLabelID
S3×C29Direct product of C29 and S3872S3xC29174,1
C3×D29Direct product of C3 and D29872C3xD29174,2
D87Dihedral group872+D87174,3

Groups of order 348

dρLabelID
C3×C29⋊C4Direct product of C3 and C29⋊C4874C3xC29:C4348,5
C87⋊C41st semidirect product of C87 and C4 acting faithfully874C87:C4348,6
S3×D29Direct product of S3 and D29874+S3xD29348,7

On 88 points

Groups of order 88

dρLabelID
C11⋊C8The semidirect product of C11 and C8 acting via C8/C4=C2882C11:C888,1
C88Cyclic group881C8888,2
Dic22Dicyclic group; = C11Q8882-Dic2288,3
C2×Dic11Direct product of C2 and Dic1188C2xDic1188,6
C2×C44Abelian group of type [2,44]88C2xC4488,8
Q8×C11Direct product of C11 and Q8882Q8xC1188,10
C22×C22Abelian group of type [2,2,22]88C2^2xC2288,12

Groups of order 176

dρLabelID
C8×D11Direct product of C8 and D11882C8xD11176,3
C88⋊C24th semidirect product of C88 and C2 acting faithfully882C88:C2176,4
C8⋊D112nd semidirect product of C8 and D11 acting via D11/C11=C2882C8:D11176,5
D88Dihedral group882+D88176,6
C44.C41st non-split extension by C44 of C4 acting via C4/C2=C2882C44.C4176,9
D22⋊C4The semidirect product of D22 and C4 acting via C4/C2=C288D22:C4176,13
D4⋊D11The semidirect product of D4 and D11 acting via D11/C11=C2884+D4:D11176,14
D4.D11The non-split extension by D4 of D11 acting via D11/C11=C2884-D4.D11176,15
Q8⋊D11The semidirect product of Q8 and D11 acting via D11/C11=C2884+Q8:D11176,16
C23.D11The non-split extension by C23 of D11 acting via D11/C11=C288C2^3.D11176,18
C11×C22⋊C4Direct product of C11 and C22⋊C488C11xC2^2:C4176,20
C11×M4(2)Direct product of C11 and M4(2)882C11xM4(2)176,23
C11×D8Direct product of C11 and D8882C11xD8176,24
C11×SD16Direct product of C11 and SD16882C11xSD16176,25
C2×C4×D11Direct product of C2×C4 and D1188C2xC4xD11176,28
C2×D44Direct product of C2 and D4488C2xD44176,29
D445C2The semidirect product of D44 and C2 acting through Inn(D44)882D44:5C2176,30
D42D11The semidirect product of D4 and D11 acting through Inn(D4)884-D4:2D11176,32
Q8×D11Direct product of Q8 and D11884-Q8xD11176,33
D44⋊C24th semidirect product of D44 and C2 acting faithfully884+D44:C2176,34
C2×C11⋊D4Direct product of C2 and C11⋊D488C2xC11:D4176,36
D4×C22Direct product of C22 and D488D4xC22176,38
C11×C4○D4Direct product of C11 and C4○D4882C11xC4oD4176,40
C23×D11Direct product of C23 and D1188C2^3xD11176,41

Groups of order 264

dρLabelID
C11×SL2(𝔽3)Direct product of C11 and SL2(𝔽3)882C11xSL(2,3)264,12

Groups of order 352

dρLabelID
D441C41st semidirect product of D44 and C4 acting via C4/C2=C2882D44:1C4352,11
C22.2D441st non-split extension by C22 of D44 acting via D44/D22=C2884C2^2.2D44352,12
C44.46D43rd non-split extension by C44 of D4 acting via D4/C22=C2884+C44.46D4352,29
D444C44th semidirect product of D44 and C4 acting via C4/C2=C2884D44:4C4352,31
C44.D48th non-split extension by C44 of D4 acting via D4/C2=C22884C44.D4352,39
C23⋊Dic11The semidirect product of C23 and Dic11 acting via Dic11/C11=C4884C2^3:Dic11352,40
C44.56D413rd non-split extension by C44 of D4 acting via D4/C22=C2884C44.56D4352,43
C11×C23⋊C4Direct product of C11 and C23⋊C4884C11xC2^3:C4352,48
C11×C4.D4Direct product of C11 and C4.D4884C11xC4.D4352,49
C11×C4≀C2Direct product of C11 and C4≀C2882C11xC4wrC2352,53
C22⋊C4×D11Direct product of C22⋊C4 and D1188C2^2:C4xD11352,75
C22⋊D44The semidirect product of C22 and D44 acting via D44/D22=C288C2^2:D44352,77
M4(2)×D11Direct product of M4(2) and D11884M4(2)xD11352,101
C8⋊D221st semidirect product of C8 and D22 acting via D22/C11=C22884+C8:D22352,103
D8×D11Direct product of D8 and D11884+D8xD11352,105
D4⋊D222nd semidirect product of D4 and D22 acting via D22/D11=C2884D4:D22352,106
SD16×D11Direct product of SD16 and D11884SD16xD11352,108
D88⋊C26th semidirect product of D88 and C2 acting faithfully884+D88:C2352,109
D446C224th semidirect product of D44 and C22 acting via C22/C2=C2884D44:6C2^2352,127
C23⋊D221st semidirect product of C23 and D22 acting via D22/C11=C2288C2^3:D22352,132
Q8⋊D222nd semidirect product of Q8 and D22 acting via D22/C22=C2884+Q8:D22352,144
C24⋊D111st semidirect product of C24 and D11 acting via D11/C11=C288C2^4:D11352,148
C11×C22≀C2Direct product of C11 and C22≀C288C11xC2^2wrC2352,155
C11×C8⋊C22Direct product of C11 and C8⋊C22884C11xC8:C2^2352,171
C2×D4×D11Direct product of C2, D4 and D1188C2xD4xD11352,177
D46D222nd semidirect product of D4 and D22 acting through Inn(D4)884D4:6D22352,179
C4○D4×D11Direct product of C4○D4 and D11884C4oD4xD11352,183
D48D224th semidirect product of D4 and D22 acting through Inn(D4)884+D4:8D22352,184
C11×2+ 1+4Direct product of C11 and 2+ 1+4884C11xES+(2,2)352,192

Groups of order 440

dρLabelID
C11⋊C40The semidirect product of C11 and C40 acting via C40/C4=C108810C11:C40440,1
C8×C11⋊C5Direct product of C8 and C11⋊C5885C8xC11:C5440,2
C4.F11The non-split extension by C4 of F11 acting via F11/C11⋊C5=C28810-C4.F11440,7
C2×C11⋊C20Direct product of C2 and C11⋊C2088C2xC11:C20440,10
C2×C4×C11⋊C5Direct product of C2×C4 and C11⋊C588C2xC4xC11:C5440,12
Q8×C11⋊C5Direct product of Q8 and C11⋊C58810Q8xC11:C5440,14
C23×C11⋊C5Direct product of C23 and C11⋊C588C2^3xC11:C5440,44

On 89 points

Groups of order 89

dρLabelID
C89Cyclic group891C8989,1

Groups of order 178

dρLabelID
D89Dihedral group892+D89178,1

Groups of order 356

dρLabelID
C89⋊C4The semidirect product of C89 and C4 acting faithfully894+C89:C4356,3

On 90 points

Groups of order 90

dρLabelID
C90Cyclic group901C9090,4
C3×C30Abelian group of type [3,30]90C3xC3090,10

Groups of order 180

dρLabelID
C5×C3.A4Direct product of C5 and C3.A4903C5xC3.A4180,8
D5×C18Direct product of C18 and D5902D5xC18180,9
C10×D9Direct product of C10 and D9902C10xD9180,10
D90Dihedral group; = C2×D45902+D90180,11
D5×C3×C6Direct product of C3×C6 and D590D5xC3xC6180,32
C10×C3⋊S3Direct product of C10 and C3⋊S390C10xC3:S3180,35
C2×C3⋊D15Direct product of C2 and C3⋊D1590C2xC3:D15180,36

Groups of order 270

dρLabelID
C15×D9Direct product of C15 and D9902C15xD9270,8
S3×C45Direct product of C45 and S3902S3xC45270,9
C3×D45Direct product of C3 and D45902C3xD45270,12
C9×D15Direct product of C9 and D15902C9xD15270,13
C10×He3Direct product of C10 and He3903C10xHe3270,21
C10×3- 1+2Direct product of C10 and 3- 1+2903C10xES-(3,1)270,22
S3×C3×C15Direct product of C3×C15 and S390S3xC3xC15270,24
C32×D15Direct product of C32 and D1590C3^2xD15270,25
C15×C3⋊S3Direct product of C15 and C3⋊S390C15xC3:S3270,26
C3×C3⋊D15Direct product of C3 and C3⋊D1590C3xC3:D15270,27

Groups of order 360

dρLabelID
C5×C3.S4Direct product of C5 and C3.S4906C5xC3.S4360,40
C22⋊D45The semidirect product of C22 and D45 acting via D45/C15=S3906+C2^2:D45360,41
D5×C3.A4Direct product of D5 and C3.A4906D5xC3.A4360,42
C18×F5Direct product of C18 and F5904C18xF5360,43
C2×C9⋊F5Direct product of C2 and C9⋊F5904C2xC9:F5360,44
C2×D5×D9Direct product of C2, D5 and D9904+C2xD5xD9360,45
C10×C3.A4Direct product of C10 and C3.A4903C10xC3.A4360,46
C3×C6×F5Direct product of C3×C6 and F590C3xC6xF5360,145
C2×C323F5Direct product of C2 and C323F590C2xC3^2:3F5360,147
C2×D5×C3⋊S3Direct product of C2, D5 and C3⋊S390C2xD5xC3:S3360,152
A4×C30Direct product of C30 and A4903A4xC30360,156

Groups of order 450

dρLabelID
C2×C52⋊C9Direct product of C2 and C52⋊C9903C2xC5^2:C9450,13
D5×C45Direct product of C45 and D5902D5xC45450,14
C5×D45Direct product of C5 and D45902C5xD45450,17
C6×C52⋊C3Direct product of C6 and C52⋊C3903C6xC5^2:C3450,25
D5×C3×C15Direct product of C3×C15 and D590D5xC3xC15450,26
C5×C3⋊D15Direct product of C5 and C3⋊D1590C5xC3:D15450,32

On 91 points

Groups of order 91

dρLabelID
C91Cyclic group911C9191,1

Groups of order 182

dρLabelID
C13×D7Direct product of C13 and D7912C13xD7182,1
C7×D13Direct product of C7 and D13912C7xD13182,2
D91Dihedral group912+D91182,3

Groups of order 273

dρLabelID
C13×C7⋊C3Direct product of C13 and C7⋊C3913C13xC7:C3273,1
C7×C13⋊C3Direct product of C7 and C13⋊C3913C7xC13:C3273,2
C91⋊C33rd semidirect product of C91 and C3 acting faithfully913C91:C3273,3
C914C34th semidirect product of C91 and C3 acting faithfully913C91:4C3273,4

Groups of order 364

dρLabelID
C7×C13⋊C4Direct product of C7 and C13⋊C4914C7xC13:C4364,5
C91⋊C41st semidirect product of C91 and C4 acting faithfully914C91:C4364,6
D7×D13Direct product of D7 and D13914+D7xD13364,7

On 92 points

Groups of order 92

dρLabelID
Dic23Dicyclic group; = C23C4922-Dic2392,1
C92Cyclic group921C9292,2
C2×C46Abelian group of type [2,46]92C2xC4692,4

Groups of order 184

dρLabelID
C4×D23Direct product of C4 and D23922C4xD23184,4
D92Dihedral group922+D92184,5
C23⋊D4The semidirect product of C23 and D4 acting via D4/C22=C2922C23:D4184,7
D4×C23Direct product of C23 and D4922D4xC23184,9
C22×D23Direct product of C22 and D2392C2^2xD23184,11

Groups of order 276

dρLabelID
A4×C23Direct product of C23 and A4923A4xC23276,6

Groups of order 368

dρLabelID
D4×D23Direct product of D4 and D23924+D4xD23368,31

On 93 points

Groups of order 93

dρLabelID
C93Cyclic group931C9393,2

Groups of order 186

dρLabelID
S3×C31Direct product of C31 and S3932S3xC31186,3
C3×D31Direct product of C3 and D31932C3xD31186,4
D93Dihedral group932+D93186,5

Groups of order 279

dρLabelID
C3×C31⋊C3Direct product of C3 and C31⋊C3933C3xC31:C3279,3

Groups of order 372

dρLabelID
S3×D31Direct product of S3 and D31934+S3xD31372,8

Groups of order 465

dρLabelID
C3×C31⋊C5Direct product of C3 and C31⋊C5935C3xC31:C5465,2

On 94 points

Groups of order 94

dρLabelID
C94Cyclic group941C9494,2

Groups of order 188

dρLabelID
D94Dihedral group; = C2×D47942+D94188,3

On 95 points

Groups of order 95

dρLabelID
C95Cyclic group951C9595,1

Groups of order 190

dρLabelID
D5×C19Direct product of C19 and D5952D5xC19190,1
C5×D19Direct product of C5 and D19952C5xD19190,2
D95Dihedral group952+D95190,3

Groups of order 285

dρLabelID
C5×C19⋊C3Direct product of C5 and C19⋊C3953C5xC19:C3285,1

Groups of order 380

dρLabelID
C19×F5Direct product of C19 and F5954C19xF5380,5
C19⋊F5The semidirect product of C19 and F5 acting via F5/D5=C2954C19:F5380,6
D5×D19Direct product of D5 and D19954+D5xD19380,7

On 96 points

Groups of order 96

dρLabelID
C3⋊C32The semidirect product of C3 and C32 acting via C32/C16=C2962C3:C3296,1
C96Cyclic group961C9696,2
Dic24Dicyclic group; = C31Q32962-Dic2496,8
C4×C3⋊C8Direct product of C4 and C3⋊C896C4xC3:C896,9
C42.S31st non-split extension by C42 of S3 acting via S3/C3=C296C4^2.S396,10
C12⋊C81st semidirect product of C12 and C8 acting via C8/C4=C296C12:C896,11
C6.Q161st non-split extension by C6 of Q16 acting via Q16/Q8=C296C6.Q1696,14
C12.Q82nd non-split extension by C12 of Q8 acting via Q8/C2=C2296C12.Q896,15
C6.SD162nd non-split extension by C6 of SD16 acting via SD16/D4=C296C6.SD1696,17
C2×C3⋊C16Direct product of C2 and C3⋊C1696C2xC3:C1696,18
C8×Dic3Direct product of C8 and Dic396C8xDic396,20
Dic3⋊C8The semidirect product of Dic3 and C8 acting via C8/C4=C296Dic3:C896,21
C24⋊C45th semidirect product of C24 and C4 acting via C4/C2=C296C24:C496,22
C2.Dic121st central extension by C2 of Dic1296C2.Dic1296,23
C8⋊Dic32nd semidirect product of C8 and Dic3 acting via Dic3/C6=C296C8:Dic396,24
C241C41st semidirect product of C24 and C4 acting via C4/C2=C296C24:1C496,25
C3⋊Q32The semidirect product of C3 and Q32 acting via Q32/Q16=C2964-C3:Q3296,36
C6.C425th non-split extension by C6 of C42 acting via C42/C2×C4=C296C6.C4^296,38
Q82Dic31st semidirect product of Q8 and Dic3 acting via Dic3/C6=C296Q8:2Dic396,42
C3×C2.C42Direct product of C3 and C2.C4296C3xC2.C4^296,45
C4×C24Abelian group of type [4,24]96C4xC2496,46
C3×C8⋊C4Direct product of C3 and C8⋊C496C3xC8:C496,47
C3×Q8⋊C4Direct product of C3 and Q8⋊C496C3xQ8:C496,53
C3×C4⋊C8Direct product of C3 and C4⋊C896C3xC4:C896,55
C3×C4.Q8Direct product of C3 and C4.Q896C3xC4.Q896,56
C3×C2.D8Direct product of C3 and C2.D896C3xC2.D896,57
C2×C48Abelian group of type [2,48]96C2xC4896,59
C3×Q32Direct product of C3 and Q32962C3xQ3296,63
C4×Dic6Direct product of C4 and Dic696C4xDic696,75
C122Q81st semidirect product of C12 and Q8 acting via Q8/C4=C296C12:2Q896,76
C12.6Q83rd non-split extension by C12 of Q8 acting via Q8/C4=C296C12.6Q896,77
Dic6⋊C45th semidirect product of Dic6 and C4 acting via C4/C2=C296Dic6:C496,94
C12⋊Q8The semidirect product of C12 and Q8 acting via Q8/C2=C2296C12:Q896,95
Dic3.Q8The non-split extension by Dic3 of Q8 acting via Q8/C4=C296Dic3.Q896,96
C4.Dic63rd non-split extension by C4 of Dic6 acting via Dic6/Dic3=C296C4.Dic696,97
C2×Dic12Direct product of C2 and Dic1296C2xDic1296,112
C22×C3⋊C8Direct product of C22 and C3⋊C896C2^2xC3:C896,127
C2×C4×Dic3Direct product of C2×C4 and Dic396C2xC4xDic396,129
C2×Dic3⋊C4Direct product of C2 and Dic3⋊C496C2xDic3:C496,130
C2×C4⋊Dic3Direct product of C2 and C4⋊Dic396C2xC4:Dic396,132
C2×C3⋊Q16Direct product of C2 and C3⋊Q1696C2xC3:Q1696,150
Dic3⋊Q82nd semidirect product of Dic3 and Q8 acting via Q8/C4=C296Dic3:Q896,151
Q8×Dic3Direct product of Q8 and Dic396Q8xDic396,152
C2×C4×C12Abelian group of type [2,4,12]96C2xC4xC1296,161
C6×C4⋊C4Direct product of C6 and C4⋊C496C6xC4:C496,163
Q8×C12Direct product of C12 and Q896Q8xC1296,166
C3×C42.C2Direct product of C3 and C42.C296C3xC4^2.C296,172
C3×C4⋊Q8Direct product of C3 and C4⋊Q896C3xC4:Q896,175
C22×C24Abelian group of type [2,2,24]96C2^2xC2496,176
C6×Q16Direct product of C6 and Q1696C6xQ1696,181
C22×Dic6Direct product of C22 and Dic696C2^2xDic696,205
C23×Dic3Direct product of C23 and Dic396C2^3xDic396,218
C23×C12Abelian group of type [2,2,2,12]96C2^3xC1296,220
Q8×C2×C6Direct product of C2×C6 and Q896Q8xC2xC696,222
C24×C6Abelian group of type [2,2,2,2,6]96C2^4xC696,231

Groups of order 192

dρLabelID
S3×C32Direct product of C32 and S3962S3xC32192,5
C96⋊C26th semidirect product of C96 and C2 acting faithfully962C96:C2192,6
D96Dihedral group962+D96192,7
C32⋊S32nd semidirect product of C32 and S3 acting via S3/C3=C2962C32:S3192,8
C4.17D242nd central extension by C4 of D2496C4.17D24192,18
C42.D61st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.D6192,23
(C2×Dic3)⋊C8The semidirect product of C2×Dic3 and C8 acting via C8/C2=C496(C2xDic3):C8192,28
D122C82nd semidirect product of D12 and C8 acting via C8/C4=C296D12:2C8192,42
C4.D241st non-split extension by C4 of D24 acting via D24/D12=C296C4.D24192,44
C6.D162nd non-split extension by C6 of D16 acting via D16/D8=C296C6.D16192,50
C24.7Q87th non-split extension by C24 of Q8 acting via Q8/C2=C22964C24.7Q8192,52
C24.8D48th non-split extension by C24 of D4 acting via D4/C2=C22964-C24.8D4192,55
Dic12.C43rd non-split extension by Dic12 of C4 acting via C4/C2=C2964Dic12.C4192,56
C3⋊M6(2)The semidirect product of C3 and M6(2) acting via M6(2)/C2×C16=C2962C3:M6(2)192,58
C48.C41st non-split extension by C48 of C4 acting via C4/C2=C2962C48.C4192,65
D6⋊C16The semidirect product of D6 and C16 acting via C16/C8=C296D6:C16192,66
D12.C81st non-split extension by D12 of C8 acting via C8/C4=C2962D12.C8192,67
C2.D482nd central extension by C2 of D4896C2.D48192,68
D24.1C41st non-split extension by D24 of C4 acting via C4/C2=C2962D24.1C4192,69
Dic6.C82nd non-split extension by Dic6 of C8 acting via C8/C4=C2964Dic6.C8192,74
C12.4D84th non-split extension by C12 of D8 acting via D8/C4=C22964-C12.4D8192,76
C3⋊D32The semidirect product of C3 and D32 acting via D32/D16=C2964+C3:D32192,78
D16.S3The non-split extension by D16 of S3 acting via S3/C3=C2964-D16.S3192,79
C3⋊SD64The semidirect product of C3 and SD64 acting via SD64/Q32=C2964+C3:SD64192,80
(C2×C12)⋊C81st semidirect product of C2×C12 and C8 acting via C8/C2=C496(C2xC12):C8192,87
C12.(C4⋊C4)7th non-split extension by C12 of C4⋊C4 acting via C4⋊C4/C22=C2296C12.(C4:C4)192,89
C12.57D811st non-split extension by C12 of D8 acting via D8/D4=C296C12.57D8192,93
C42.7D67th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.7D6192,99
C12.9D89th non-split extension by C12 of D8 acting via D8/C4=C2296C12.9D8192,103
C24.98D421st non-split extension by C24 of D4 acting via D4/C22=C296C24.98D4192,108
C12.10C423rd non-split extension by C12 of C42 acting via C42/C2×C4=C296C12.10C4^2192,111
M4(2)⋊Dic32nd semidirect product of M4(2) and Dic3 acting via Dic3/C6=C296M4(2):Dic3192,113
C12.4C424th non-split extension by C12 of C42 acting via C42/C22=C2296C12.4C4^2192,117
C24.99D422nd non-split extension by C24 of D4 acting via D4/C22=C2964C24.99D4192,120
D81Dic31st semidirect product of D8 and Dic3 acting via Dic3/C6=C296D8:1Dic3192,121
Q16.Dic32nd non-split extension by Q16 of Dic3 acting via Dic3/C6=C2964Q16.Dic3192,124
C24.41D441st non-split extension by C24 of D4 acting via D4/C2=C22964C24.41D4192,126
C3×C22.M4(2)Direct product of C3 and C22.M4(2)96C3xC2^2.M4(2)192,130
C3×D4⋊C8Direct product of C3 and D4⋊C896C3xD4:C8192,131
C3×C42.C22Direct product of C3 and C42.C2296C3xC4^2.C2^2192,135
C3×C4.D8Direct product of C3 and C4.D896C3xC4.D8192,137
C3×C4.C42Direct product of C3 and C4.C4296C3xC4.C4^2192,147
C3×C22.C42Direct product of C3 and C22.C4296C3xC2^2.C4^2192,149
C3×C22⋊C16Direct product of C3 and C22⋊C1696C3xC2^2:C16192,154
C3×D4.C8Direct product of C3 and D4.C8962C3xD4.C8192,156
C3×C2.D16Direct product of C3 and C2.D1696C3xC2.D16192,163
C3×D8.C4Direct product of C3 and D8.C4962C3xD8.C4192,165
C3×C8.17D4Direct product of C3 and C8.17D4964C3xC8.17D4192,168
C3×C8.4Q8Direct product of C3 and C8.4Q8962C3xC8.4Q8192,174
C3×M6(2)Direct product of C3 and M6(2)962C3xM6(2)192,176
C3×D32Direct product of C3 and D32962C3xD32192,177
C3×SD64Direct product of C3 and SD64962C3xSD64192,178
S3×C2.C42Direct product of S3 and C2.C4296S3xC2.C4^2192,222
C22.58(S3×D4)9th central extension by C22 of S3×D496C2^2.58(S3xD4)192,223
(C2×C4)⋊9D121st semidirect product of C2×C4 and D12 acting via D12/D6=C296(C2xC4):9D12192,224
D6⋊C421st semidirect product of D6 and C42 acting via C42/C2×C4=C296D6:C4^2192,225
D6⋊(C4⋊C4)1st semidirect product of D6 and C4⋊C4 acting via C4⋊C4/C2×C4=C296D6:(C4:C4)192,226
D6⋊C4⋊C42nd semidirect product of D6⋊C4 and C4 acting via C4/C2=C296D6:C4:C4192,227
D6⋊C45C45th semidirect product of D6⋊C4 and C4 acting via C4/C2=C296D6:C4:5C4192,228
D6⋊C43C43rd semidirect product of D6⋊C4 and C4 acting via C4/C2=C296D6:C4:3C4192,229
(C2×C12)⋊5D41st semidirect product of C2×C12 and D4 acting via D4/C2=C2296(C2xC12):5D4192,230
C6.C22≀C25th non-split extension by C6 of C22≀C2 acting via C22≀C2/C22⋊C4=C296C6.C2^2wrC2192,231
(C22×S3)⋊Q81st semidirect product of C22×S3 and Q8 acting via Q8/C2=C2296(C2^2xS3):Q8192,232
(C2×C4).21D1214th non-split extension by C2×C4 of D12 acting via D12/C6=C2296(C2xC4).21D12192,233
C6.(C4⋊D4)7th non-split extension by C6 of C4⋊D4 acting via C4⋊D4/C22⋊C4=C296C6.(C4:D4)192,234
(C22×C4).37D621st non-split extension by C22×C4 of D6 acting via D6/C3=C2296(C2^2xC4).37D6192,235
(C2×C12).33D47th non-split extension by C2×C12 of D4 acting via D4/C2=C2296(C2xC12).33D4192,236
S3×C4×C8Direct product of C4×C8 and S396S3xC4xC8192,243
C42.282D65th central extension by C42 of D696C4^2.282D6192,244
C8×D12Direct product of C8 and D1296C8xD12192,245
C4×C8⋊S3Direct product of C4 and C8⋊S396C4xC8:S3192,246
C86D123rd semidirect product of C8 and D12 acting via D12/C12=C296C8:6D12192,247
D6.C422nd non-split extension by D6 of C42 acting via C42/C2×C4=C296D6.C4^2192,248
C42.243D62nd non-split extension by C42 of D6 acting via D6/C6=C296C4^2.243D6192,249
C4×C24⋊C2Direct product of C4 and C24⋊C296C4xC24:C2192,250
C4×D24Direct product of C4 and D2496C4xD24192,251
C85D122nd semidirect product of C8 and D12 acting via D12/C12=C296C8:5D12192,252
C4.5D245th non-split extension by C4 of D24 acting via D24/C24=C296C4.5D24192,253
C124D81st semidirect product of C12 and D8 acting via D8/C8=C296C12:4D8192,254
C8.8D124th non-split extension by C8 of D12 acting via D12/C12=C296C8.8D12192,255
C42.264D623rd non-split extension by C42 of D6 acting via D6/C6=C296C4^2.264D6192,256
S3×C8⋊C4Direct product of S3 and C8⋊C496S3xC8:C4192,263
C42.182D62nd non-split extension by C42 of D6 acting via D6/S3=C296C4^2.182D6192,264
C89D123rd semidirect product of C8 and D12 acting via D12/D6=C296C8:9D12192,265
Dic35M4(2)The semidirect product of Dic3 and M4(2) acting through Inn(Dic3)96Dic3:5M4(2)192,266
D6.4C424th non-split extension by D6 of C42 acting via C42/C2×C4=C296D6.4C4^2192,267
C42.185D65th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.185D6192,268
C42.16D616th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.16D6192,269
D24⋊C43rd semidirect product of D24 and C4 acting via C4/C2=C296D24:C4192,270
C8⋊D121st semidirect product of C8 and D12 acting via D12/C6=C2296C8:D12192,271
C42.19D619th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.19D6192,272
C42.20D620th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.20D6192,273
C8.D121st non-split extension by C8 of D12 acting via D12/C6=C2296C8.D12192,274
Dic3.5M4(2)1st non-split extension by Dic3 of M4(2) acting through Inn(Dic3)96Dic3.5M4(2)192,277
Dic3.M4(2)2nd non-split extension by Dic3 of M4(2) acting via M4(2)/C2×C4=C296Dic3.M4(2)192,278
C24⋊C4⋊C212nd semidirect product of C24⋊C4 and C2 acting faithfully96C24:C4:C2192,279
C23.39D125th non-split extension by C23 of D12 acting via D12/D6=C296C2^3.39D12192,280
C23.40D126th non-split extension by C23 of D12 acting via D12/D6=C296C2^3.40D12192,281
C23.15D123rd non-split extension by C23 of D12 acting via D12/C6=C2296C2^3.15D12192,282
C3⋊D4⋊C8The semidirect product of C3⋊D4 and C8 acting via C8/C4=C296C3:D4:C8192,284
D6⋊C8⋊C223rd semidirect product of D6⋊C8 and C2 acting faithfully96D6:C8:C2192,286
D62M4(2)2nd semidirect product of D6 and M4(2) acting via M4(2)/C8=C296D6:2M4(2)192,287
Dic3⋊M4(2)1st semidirect product of Dic3 and M4(2) acting via M4(2)/C8=C296Dic3:M4(2)192,288
C3⋊C826D48th semidirect product of C3⋊C8 and D4 acting via D4/C22=C296C3:C8:26D4192,289
D12.32D42nd non-split extension by D12 of D4 acting via D4/C22=C296D12.32D4192,292
D1214D42nd semidirect product of D12 and D4 acting via D4/C22=C296D12:14D4192,293
C23.43D129th non-split extension by C23 of D12 acting via D12/D6=C296C2^3.43D12192,294
C22.D243rd non-split extension by C22 of D24 acting via D24/D12=C296C2^2.D24192,295
C23.18D126th non-split extension by C23 of D12 acting via D12/C6=C2296C2^3.18D12192,296
Dic614D42nd semidirect product of Dic6 and D4 acting via D4/C22=C296Dic6:14D4192,297
Dic6.32D42nd non-split extension by Dic6 of D4 acting via D4/C22=C296Dic6.32D4192,298
D12.7D47th non-split extension by D12 of D4 acting via D4/C2=C22968-D12.7D4192,314
Dic34D81st semidirect product of Dic3 and D8 acting through Inn(Dic3)96Dic3:4D8192,315
D4.S3⋊C41st semidirect product of D4.S3 and C4 acting via C4/C2=C296D4.S3:C4192,316
Dic36SD161st semidirect product of Dic3 and SD16 acting through Inn(Dic3)96Dic3:6SD16192,317
Dic3.D81st non-split extension by Dic3 of D8 acting via D8/D4=C296Dic3.D8192,318
Dic3.SD161st non-split extension by Dic3 of SD16 acting via SD16/C8=C296Dic3.SD16192,319
D4⋊Dic62nd semidirect product of D4 and Dic6 acting via Dic6/Dic3=C296D4:Dic6192,320
Dic62D42nd semidirect product of Dic6 and D4 acting via D4/C2=C2296Dic6:2D4192,321
D4.Dic61st non-split extension by D4 of Dic6 acting via Dic6/Dic3=C296D4.Dic6192,322
C4⋊C4.D65th non-split extension by C4⋊C4 of D6 acting via D6/C3=C2296C4:C4.D6192,323
C12⋊Q8⋊C24th semidirect product of C12⋊Q8 and C2 acting faithfully96C12:Q8:C2192,324
D4.2Dic62nd non-split extension by D4 of Dic6 acting via Dic6/Dic3=C296D4.2Dic6192,325
Dic6.D48th non-split extension by Dic6 of D4 acting via D4/C2=C2296Dic6.D4192,326
(C2×C8).200D69th non-split extension by C2×C8 of D6 acting via D6/S3=C296(C2xC8).200D6192,327
D4⋊(C4×S3)2nd semidirect product of D4 and C4×S3 acting via C4×S3/D6=C296D4:(C4xS3)192,330
D42S3⋊C42nd semidirect product of D42S3 and C4 acting via C4/C2=C296D4:2S3:C4192,331
D6.D81st non-split extension by D6 of D8 acting via D8/D4=C296D6.D8192,333
D6⋊D81st semidirect product of D6 and D8 acting via D8/C8=C296D6:D8192,334
D6.SD161st non-split extension by D6 of SD16 acting via SD16/Q8=C296D6.SD16192,336
D6⋊SD161st semidirect product of D6 and SD16 acting via SD16/C8=C296D6:SD16192,337
D6⋊C811C211st semidirect product of D6⋊C8 and C2 acting faithfully96D6:C8:11C2192,338
C3⋊C81D41st semidirect product of C3⋊C8 and D4 acting via D4/C2=C2296C3:C8:1D4192,339
D43D122nd semidirect product of D4 and D12 acting via D12/D6=C296D4:3D12192,340
C3⋊C8⋊D42nd semidirect product of C3⋊C8 and D4 acting via D4/C2=C2296C3:C8:D4192,341
D4.D122nd non-split extension by D4 of D12 acting via D12/D6=C296D4.D12192,342
C241C4⋊C29th semidirect product of C241C4 and C2 acting faithfully96C24:1C4:C2192,343
D4⋊S3⋊C42nd semidirect product of D4⋊S3 and C4 acting via C4/C2=C296D4:S3:C4192,344
D123D43rd semidirect product of D12 and D4 acting via D4/C2=C2296D12:3D4192,345
D12.D49th non-split extension by D12 of D4 acting via D4/C2=C2296D12.D4192,346
Dic37SD162nd semidirect product of Dic3 and SD16 acting through Inn(Dic3)96Dic3:7SD16192,347
(C2×C8).D6173rd non-split extension by C2×C8 of D6 acting via D6/C3=C2296(C2xC8).D6192,353
Dic6.11D411st non-split extension by Dic6 of D4 acting via D4/C2=C2296Dic6.11D4192,357
Q8⋊C4⋊S31st semidirect product of Q8⋊C4 and S3 acting via S3/C3=C296Q8:C4:S3192,359
S3×Q8⋊C4Direct product of S3 and Q8⋊C496S3xQ8:C4192,360
(S3×Q8)⋊C42nd semidirect product of S3×Q8 and C4 acting via C4/C2=C296(S3xQ8):C4192,361
Q87(C4×S3)2nd semidirect product of Q8 and C4×S3 acting via C4×S3/D6=C296Q8:7(C4xS3)192,362
C4⋊C4.150D623rd non-split extension by C4⋊C4 of D6 acting via D6/S3=C296C4:C4.150D6192,363
D6.1SD161st non-split extension by D6 of SD16 acting via SD16/D4=C296D6.1SD16192,364
Q83D121st semidirect product of Q8 and D12 acting via D12/D6=C296Q8:3D12192,365
D62SD162nd semidirect product of D6 and SD16 acting via SD16/C8=C296D6:2SD16192,366
Q8.11D121st non-split extension by Q8 of D12 acting via D12/D6=C296Q8.11D12192,367
D6⋊Q161st semidirect product of D6 and Q16 acting via Q16/Q8=C296D6:Q16192,368
Q84D122nd semidirect product of Q8 and D12 acting via D12/D6=C296Q8:4D12192,369
D6.Q161st non-split extension by D6 of Q16 acting via Q16/Q8=C296D6.Q16192,370
C3⋊(C8⋊D4)The semidirect product of C3 and C8⋊D4 acting via C8⋊D4/Q8⋊C4=C296C3:(C8:D4)192,371
D61Q161st semidirect product of D6 and Q16 acting via Q16/C8=C296D6:1Q16192,372
D6⋊C8.C24th non-split extension by D6⋊C8 of C2 acting faithfully96D6:C8.C2192,373
C8⋊Dic3⋊C215th semidirect product of C8⋊Dic3 and C2 acting faithfully96C8:Dic3:C2192,374
C3⋊C8.D41st non-split extension by C3⋊C8 of D4 acting via D4/C2=C2296C3:C8.D4192,375
Q83(C4×S3)2nd semidirect product of Q8 and C4×S3 acting via C4×S3/Dic3=C296Q8:3(C4xS3)192,376
Dic3⋊SD161st semidirect product of Dic3 and SD16 acting via SD16/D4=C296Dic3:SD16192,377
D12.12D412nd non-split extension by D12 of D4 acting via D4/C2=C2296D12.12D4192,378
S3×C4⋊C8Direct product of S3 and C4⋊C896S3xC4:C8192,391
C42.200D620th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.200D6192,392
D12⋊C83rd semidirect product of D12 and C8 acting via C8/C4=C296D12:C8192,393
C42.202D622nd non-split extension by C42 of D6 acting via D6/S3=C296C4^2.202D6192,394
D63M4(2)3rd semidirect product of D6 and M4(2) acting via M4(2)/C8=C296D6:3M4(2)192,395
C12⋊M4(2)1st semidirect product of C12 and M4(2) acting via M4(2)/C4=C2296C12:M4(2)192,396
C122M4(2)2nd semidirect product of C12 and M4(2) acting via M4(2)/C4=C2296C12:2M4(2)192,397
C42.30D630th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.30D6192,398
C42.31D631st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.31D6192,399
C12⋊SD161st semidirect product of C12 and SD16 acting via SD16/C4=C2296C12:SD16192,400
D123Q81st semidirect product of D12 and Q8 acting via Q8/C4=C296D12:3Q8192,401
C4⋊D24The semidirect product of C4 and D24 acting via D24/D12=C296C4:D24192,402
D12.19D42nd non-split extension by D12 of D4 acting via D4/C4=C296D12.19D4192,403
C42.36D636th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.36D6192,404
D124Q82nd semidirect product of D12 and Q8 acting via Q8/C4=C296D12:4Q8192,405
D12.3Q81st non-split extension by D12 of Q8 acting via Q8/C4=C296D12.3Q8192,406
Dic68D41st semidirect product of Dic6 and D4 acting via D4/C4=C296Dic6:8D4192,407
Dic38SD163rd semidirect product of Dic3 and SD16 acting through Inn(Dic3)96Dic3:8SD16192,411
S3×C4.Q8Direct product of S3 and C4.Q896S3xC4.Q8192,418
(S3×C8)⋊C44th semidirect product of S3×C8 and C4 acting via C4/C2=C296(S3xC8):C4192,419
C8⋊(C4×S3)3rd semidirect product of C8 and C4×S3 acting via C4×S3/C6=C2296C8:(C4xS3)192,420
D6.2SD162nd non-split extension by D6 of SD16 acting via SD16/D4=C296D6.2SD16192,421
D6.4SD162nd non-split extension by D6 of SD16 acting via SD16/Q8=C296D6.4SD16192,422
C88D122nd semidirect product of C8 and D12 acting via D12/D6=C296C8:8D12192,423
C247D47th semidirect product of C24 and D4 acting via D4/C2=C2296C24:7D4192,424
C4.Q8⋊S39th semidirect product of C4.Q8 and S3 acting via S3/C3=C296C4.Q8:S3192,425
C8.2D122nd non-split extension by C8 of D12 acting via D12/C6=C2296C8.2D12192,426
C6.(C4○D8)22nd non-split extension by C6 of C4○D8 acting via C4○D8/SD16=C296C6.(C4oD8)192,427
D249C49th semidirect product of D24 and C4 acting via C4/C2=C296D24:9C4192,428
D12⋊Q81st semidirect product of D12 and Q8 acting via Q8/C2=C2296D12:Q8192,429
D12.Q81st non-split extension by D12 of Q8 acting via Q8/C2=C2296D12.Q8192,430
Dic35D82nd semidirect product of Dic3 and D8 acting through Inn(Dic3)96Dic3:5D8192,431
S3×C2.D8Direct product of S3 and C2.D896S3xC2.D8192,438
C8.27(C4×S3)4th non-split extension by C8 of C4×S3 acting via C4×S3/D6=C296C8.27(C4xS3)192,439
C8⋊S3⋊C42nd semidirect product of C8⋊S3 and C4 acting via C4/C2=C296C8:S3:C4192,440
D6.5D82nd non-split extension by D6 of D8 acting via D8/D4=C296D6.5D8192,441
D62D82nd semidirect product of D6 and D8 acting via D8/C8=C296D6:2D8192,442
D6.2Q162nd non-split extension by D6 of Q16 acting via Q16/Q8=C296D6.2Q16192,443
C2.D8⋊S35th semidirect product of C2.D8 and S3 acting via S3/C3=C296C2.D8:S3192,444
C83D123rd semidirect product of C8 and D12 acting via D12/C6=C2296C8:3D12192,445
D62Q162nd semidirect product of D6 and Q16 acting via Q16/C8=C296D6:2Q16192,446
C2.D87S37th semidirect product of C2.D8 and S3 acting via S3/C3=C296C2.D8:7S3192,447
C24⋊C2⋊C43rd semidirect product of C24⋊C2 and C4 acting via C4/C2=C296C24:C2:C4192,448
D122Q82nd semidirect product of D12 and Q8 acting via Q8/C2=C2296D12:2Q8192,449
D12.2Q82nd non-split extension by D12 of Q8 acting via Q8/C2=C2296D12.2Q8192,450
C24.18D418th non-split extension by C24 of D4 acting via D4/C2=C22964-C24.18D4192,455
S3×C2×C16Direct product of C2×C16 and S396S3xC2xC16192,458
C2×D6.C8Direct product of C2 and D6.C896C2xD6.C8192,459
D12.4C8The non-split extension by D12 of C8 acting through Inn(D12)962D12.4C8192,460
C2×D48Direct product of C2 and D4896C2xD48192,461
C2×C48⋊C2Direct product of C2 and C48⋊C296C2xC48:C2192,462
D487C2The semidirect product of D48 and C2 acting through Inn(D48)962D48:7C2192,463
C16.12D69th non-split extension by C16 of D6 acting via D6/S3=C2964C16.12D6192,466
C16.D61st non-split extension by C16 of D6 acting via D6/C3=C22964-C16.D6192,468
D163S3The semidirect product of D16 and S3 acting through Inn(D16)964-D16:3S3192,471
SD32⋊S32nd semidirect product of SD32 and S3 acting via S3/C3=C2964-SD32:S3192,474
D6.2D82nd non-split extension by D6 of D8 acting via D8/C8=C2964D6.2D8192,475
S3×Q32Direct product of S3 and Q32964-S3xQ32192,476
Q32⋊S32nd semidirect product of Q32 and S3 acting via S3/C3=C2964Q32:S3192,477
D485C25th semidirect product of D48 and C2 acting faithfully964+D48:5C2192,478
C4×C4.Dic3Direct product of C4 and C4.Dic396C4xC4.Dic3192,481
C127M4(2)1st semidirect product of C12 and M4(2) acting via M4(2)/C2×C4=C296C12:7M4(2)192,483
C42.285D68th central extension by C42 of D696C4^2.285D6192,484
C42.270D629th non-split extension by C42 of D6 acting via D6/C6=C296C4^2.270D6192,485
C4×D6⋊C4Direct product of C4 and D6⋊C496C4xD6:C4192,497
(C2×C4)⋊6D121st semidirect product of C2×C4 and D12 acting via D12/C12=C296(C2xC4):6D12192,498
(C2×C42)⋊3S32nd semidirect product of C2×C42 and S3 acting via S3/C3=C296(C2xC4^2):3S3192,499
Dic3×C22⋊C4Direct product of Dic3 and C22⋊C496Dic3xC2^2:C4192,500
C24.55D62nd non-split extension by C24 of D6 acting via D6/S3=C296C2^4.55D6192,501
C24.56D63rd non-split extension by C24 of D6 acting via D6/S3=C296C2^4.56D6192,502
C24.14D63rd non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.14D6192,503
C24.15D64th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.15D6192,504
C24.57D64th non-split extension by C24 of D6 acting via D6/S3=C296C2^4.57D6192,505
C232Dic61st semidirect product of C23 and Dic6 acting via Dic6/C6=C2296C2^3:2Dic6192,506
C24.17D66th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.17D6192,507
C24.18D67th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.18D6192,508
C24.58D65th non-split extension by C24 of D6 acting via D6/S3=C296C2^4.58D6192,509
C24.19D68th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.19D6192,510
C24.20D69th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.20D6192,511
C24.21D610th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.21D6192,512
C24.23D612nd non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.23D6192,515
C24.24D613rd non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.24D6192,516
C24.60D67th non-split extension by C24 of D6 acting via D6/S3=C296C2^4.60D6192,517
C24.25D614th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.25D6192,518
C233D121st semidirect product of C23 and D12 acting via D12/C6=C2296C2^3:3D12192,519
C24.27D616th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.27D6192,520
C4⋊C4.225D63rd non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.225D6192,523
C2×C6.D8Direct product of C2 and C6.D896C2xC6.D8192,524
C4○D12⋊C43rd semidirect product of C4○D12 and C4 acting via C4/C2=C296C4oD12:C4192,525
(C2×C6).40D817th non-split extension by C2×C6 of D8 acting via D8/D4=C296(C2xC6).40D8192,526
C4⋊C4.228D66th non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.228D6192,527
C4⋊C4.230D68th non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.230D6192,529
C4⋊C4.231D69th non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.231D6192,530
C4⋊(D6⋊C4)The semidirect product of C4 and D6⋊C4 acting via D6⋊C4/C22×S3=C296C4:(D6:C4)192,546
(C2×D12)⋊10C46th semidirect product of C2×D12 and C4 acting via C4/C2=C296(C2xD12):10C4192,547
D6⋊C46C46th semidirect product of D6⋊C4 and C4 acting via C4/C2=C296D6:C4:6C4192,548
D6⋊C47C47th semidirect product of D6⋊C4 and C4 acting via C4/C2=C296D6:C4:7C4192,549
(C2×C4)⋊3D122nd semidirect product of C2×C4 and D12 acting via D12/C6=C2296(C2xC4):3D12192,550
(C2×C12).289D4263rd non-split extension by C2×C12 of D4 acting via D4/C2=C2296(C2xC12).289D4192,551
(C2×C12).290D4264th non-split extension by C2×C12 of D4 acting via D4/C2=C2296(C2xC12).290D4192,552
(C2×C12).56D430th non-split extension by C2×C12 of D4 acting via D4/C2=C2296(C2xC12).56D4192,553
C4⋊C4.232D610th non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.232D6192,554
C4⋊C4.233D611st non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.233D6192,555
C12.5C425th non-split extension by C12 of C42 acting via C42/C22=C2296C12.5C4^2192,556
C4⋊C4.234D612nd non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.234D6192,557
C42.43D643rd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.43D6192,558
C42.187D67th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.187D6192,559
C4.(C2×D12)14th non-split extension by C4 of C2×D12 acting via C2×D12/C22×S3=C296C4.(C2xD12)192,561
C4⋊C4.236D614th non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.236D6192,562
C4⋊C4.237D615th non-split extension by C4⋊C4 of D6 acting via D6/C6=C296C4:C4.237D6192,563
C12.50D84th non-split extension by C12 of D8 acting via D8/D4=C296C12.50D8192,566
C12.38SD164th non-split extension by C12 of SD16 acting via SD16/D4=C296C12.38SD16192,567
D4.3Dic6The non-split extension by D4 of Dic6 acting via Dic6/C12=C296D4.3Dic6192,568
D4×C3⋊C8Direct product of D4 and C3⋊C896D4xC3:C8192,569
C42.47D647th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.47D6192,570
C123M4(2)3rd semidirect product of C12 and M4(2) acting via M4(2)/C4=C2296C12:3M4(2)192,571
C4×D4⋊S3Direct product of C4 and D4⋊S396C4xD4:S3192,572
C42.48D648th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.48D6192,573
C127D81st semidirect product of C12 and D8 acting via D8/D4=C296C12:7D8192,574
D4.1D121st non-split extension by D4 of D12 acting via D12/C12=C296D4.1D12192,575
C4×D4.S3Direct product of C4 and D4.S396C4xD4.S3192,576
C42.51D651st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.51D6192,577
D4.2D122nd non-split extension by D4 of D12 acting via D12/C12=C296D4.2D12192,578
C4×Q82S3Direct product of C4 and Q82S396C4xQ8:2S3192,584
C42.56D656th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.56D6192,585
Q82D12The semidirect product of Q8 and D12 acting via D12/C12=C296Q8:2D12192,586
Q8.6D121st non-split extension by Q8 of D12 acting via D12/C12=C296Q8.6D12192,587
(C2×C6).D88th non-split extension by C2×C6 of D8 acting via D8/C4=C2296(C2xC6).D8192,592
C4⋊D4.S33rd non-split extension by C4⋊D4 of S3 acting via S3/C3=C296C4:D4.S3192,593
C6.Q16⋊C235th semidirect product of C6.Q16 and C2 acting faithfully96C6.Q16:C2192,594
D1217D45th semidirect product of D12 and D4 acting via D4/C22=C296D12:17D4192,596
C3⋊C822D44th semidirect product of C3⋊C8 and D4 acting via D4/C22=C296C3:C8:22D4192,597
C4⋊D4⋊S34th semidirect product of C4⋊D4 and S3 acting via S3/C3=C296C4:D4:S3192,598
Dic617D45th semidirect product of Dic6 and D4 acting via D4/C22=C296Dic6:17D4192,599
C3⋊C823D45th semidirect product of C3⋊C8 and D4 acting via D4/C22=C296C3:C8:23D4192,600
C3⋊C85D45th semidirect product of C3⋊C8 and D4 acting via D4/C2=C2296C3:C8:5D4192,601
(C2×Q8).49D625th non-split extension by C2×Q8 of D6 acting via D6/C3=C2296(C2xQ8).49D6192,602
(C2×C6).Q165th non-split extension by C2×C6 of Q16 acting via Q16/C4=C2296(C2xC6).Q16192,603
(C2×Q8).51D627th non-split extension by C2×Q8 of D6 acting via D6/C3=C2296(C2xQ8).51D6192,604
D12.37D47th non-split extension by D12 of D4 acting via D4/C22=C296D12.37D4192,606
C3⋊C824D46th semidirect product of C3⋊C8 and D4 acting via D4/C22=C296C3:C8:24D4192,607
C3⋊C86D46th semidirect product of C3⋊C8 and D4 acting via D4/C2=C2296C3:C8:6D4192,608
Dic6.37D47th non-split extension by Dic6 of D4 acting via D4/C22=C296Dic6.37D4192,609
C3⋊C8.29D46th non-split extension by C3⋊C8 of D4 acting via D4/C22=C296C3:C8.29D4192,610
C3⋊C8.6D46th non-split extension by C3⋊C8 of D4 acting via D4/C2=C2296C3:C8.6D4192,611
C42.61D661st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.61D6192,613
C42.62D662nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.62D6192,614
C42.213D633rd non-split extension by C42 of D6 acting via D6/S3=C296C4^2.213D6192,615
D12.23D46th non-split extension by D12 of D4 acting via D4/C4=C296D12.23D4192,616
C42.64D664th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.64D6192,617
C42.214D634th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.214D6192,618
C42.65D665th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.65D6192,619
D12.4Q82nd non-split extension by D12 of Q8 acting via Q8/C4=C296D12.4Q8192,625
C42.70D670th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.70D6192,626
C42.216D636th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.216D6192,627
C12.16D816th non-split extension by C12 of D8 acting via D8/C4=C2296C12.16D8192,629
C42.72D672nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.72D6192,630
C122D82nd semidirect product of C12 and D8 acting via D8/C4=C2296C12:2D8192,631
C12⋊D83rd semidirect product of C12 and D8 acting via D8/C4=C2296C12:D8192,632
C42.74D674th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.74D6192,633
Dic69D42nd semidirect product of Dic6 and D4 acting via D4/C4=C296Dic6:9D4192,634
C124SD164th semidirect product of C12 and SD16 acting via SD16/C4=C2296C12:4SD16192,635
C125SD165th semidirect product of C12 and SD16 acting via SD16/C4=C2296C12:5SD16192,642
D125Q83rd semidirect product of D12 and Q8 acting via Q8/C4=C296D12:5Q8192,643
C126SD166th semidirect product of C12 and SD16 acting via SD16/C4=C2296C12:6SD16192,644
C42.80D680th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.80D6192,645
D126Q84th semidirect product of D12 and Q8 acting via Q8/C4=C296D12:6Q8192,646
C12.D819th non-split extension by C12 of D8 acting via D8/C4=C2296C12.D8192,647
C42.82D682nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.82D6192,648
C2×C12.C8Direct product of C2 and C12.C896C2xC12.C8192,656
C12.12C425th non-split extension by C12 of C42 acting via C42/C2×C4=C296C12.12C4^2192,660
Dic3⋊C8⋊C22nd semidirect product of Dic3⋊C8 and C2 acting faithfully96Dic3:C8:C2192,661
C23.27D121st non-split extension by C23 of D12 acting via D12/C12=C296C2^3.27D12192,665
C2×C24.C4Direct product of C2 and C24.C496C2xC24.C4192,666
C2×D6⋊C8Direct product of C2 and D6⋊C896C2xD6:C8192,667
C8×C3⋊D4Direct product of C8 and C3⋊D496C8xC3:D4192,668
(C22×C8)⋊7S33rd semidirect product of C22×C8 and S3 acting via S3/C3=C296(C2^2xC8):7S3192,669
C2433D45th semidirect product of C24 and D4 acting via D4/C22=C296C24:33D4192,670
C2×C2.D24Direct product of C2 and C2.D2496C2xC2.D24192,671
C23.28D122nd non-split extension by C23 of D12 acting via D12/C12=C296C2^3.28D12192,672
C2430D42nd semidirect product of C24 and D4 acting via D4/C22=C296C24:30D4192,673
C2429D41st semidirect product of C24 and D4 acting via D4/C22=C296C24:29D4192,674
C24.82D45th non-split extension by C24 of D4 acting via D4/C22=C296C24.82D4192,675
Dic3×M4(2)Direct product of Dic3 and M4(2)96Dic3xM4(2)192,676
Dic34M4(2)2nd semidirect product of Dic3 and M4(2) acting via M4(2)/C2×C4=C296Dic3:4M4(2)192,677
C12.88(C2×Q8)20th non-split extension by C12 of C2×Q8 acting via C2×Q8/C2×C4=C296C12.88(C2xQ8)192,678
C23.51D1217th non-split extension by C23 of D12 acting via D12/D6=C296C2^3.51D12192,679
C23.52D1218th non-split extension by C23 of D12 acting via D12/D6=C296C2^3.52D12192,680
C12.7C427th non-split extension by C12 of C42 acting via C42/C22=C2296C12.7C4^2192,681
C2×C12.53D4Direct product of C2 and C12.53D496C2xC12.53D4192,682
C24⋊D420th semidirect product of C24 and D4 acting via D4/C2=C2296C24:D4192,686
C2421D421st semidirect product of C24 and D4 acting via D4/C2=C2296C24:21D4192,687
D6⋊C840C240th semidirect product of D6⋊C8 and C2 acting faithfully96D6:C8:40C2192,688
C23.54D1220th non-split extension by C23 of D12 acting via D12/D6=C296C2^3.54D12192,692
C242D42nd semidirect product of C24 and D4 acting via D4/C2=C2296C24:2D4192,693
C243D43rd semidirect product of C24 and D4 acting via D4/C2=C2296C24:3D4192,694
C2×C12.47D4Direct product of C2 and C12.47D496C2xC12.47D4192,695
C24.4D44th non-split extension by C24 of D4 acting via D4/C2=C2296C24.4D4192,696
C24.78C2324th non-split extension by C24 of C23 acting via C23/C22=C2964C24.78C2^3192,699
Q8.10D125th non-split extension by Q8 of D12 acting via D12/C12=C2964-Q8.10D12192,702
C2×C3⋊D16Direct product of C2 and C3⋊D1696C2xC3:D16192,705
C2×D8.S3Direct product of C2 and D8.S396C2xD8.S3192,707
Dic3×D8Direct product of Dic3 and D896Dic3xD8192,708
Dic3⋊D82nd semidirect product of Dic3 and D8 acting via D8/D4=C296Dic3:D8192,709
C245D45th semidirect product of C24 and D4 acting via D4/C2=C2296C24:5D4192,710
D8⋊Dic33rd semidirect product of D8 and Dic3 acting via Dic3/C6=C296D8:Dic3192,711
(C6×D8).C28th non-split extension by C6×D8 of C2 acting faithfully96(C6xD8).C2192,712
C2411D411st semidirect product of C24 and D4 acting via D4/C2=C2296C24:11D4192,713
C24.22D422nd non-split extension by C24 of D4 acting via D4/C2=C2296C24.22D4192,714
D63D83rd semidirect product of D6 and D8 acting via D8/C8=C296D6:3D8192,716
Dic6⋊D46th semidirect product of Dic6 and D4 acting via D4/C2=C2296Dic6:D4192,717
C2412D412nd semidirect product of C24 and D4 acting via D4/C2=C2296C24:12D4192,718
Dic3×SD16Direct product of Dic3 and SD1696Dic3xSD16192,720
Dic33SD162nd semidirect product of Dic3 and SD16 acting via SD16/D4=C296Dic3:3SD16192,721
Dic35SD162nd semidirect product of Dic3 and SD16 acting via SD16/Q8=C296Dic3:5SD16192,722
SD16⋊Dic31st semidirect product of SD16 and Dic3 acting via Dic3/C6=C296SD16:Dic3192,723
(C3×D4).D48th non-split extension by C3×D4 of D4 acting via D4/C2=C2296(C3xD4).D4192,724
(C3×Q8).D46th non-split extension by C3×Q8 of D4 acting via D4/C2=C2296(C3xQ8).D4192,725
C24.31D431st non-split extension by C24 of D4 acting via D4/C2=C2296C24.31D4192,726
C24.43D443rd non-split extension by C24 of D4 acting via D4/C2=C2296C24.43D4192,727
D68SD162nd semidirect product of D6 and SD16 acting via SD16/Q8=C296D6:8SD16192,729
C2414D414th semidirect product of C24 and D4 acting via D4/C2=C2296C24:14D4192,730
D127D47th semidirect product of D12 and D4 acting via D4/C2=C2296D12:7D4192,731
Dic6.16D416th non-split extension by Dic6 of D4 acting via D4/C2=C2296Dic6.16D4192,732
C248D48th semidirect product of C24 and D4 acting via D4/C2=C2296C24:8D4192,733
C2415D415th semidirect product of C24 and D4 acting via D4/C2=C2296C24:15D4192,734
C249D49th semidirect product of C24 and D4 acting via D4/C2=C2296C24:9D4192,735
C2×C8.6D6Direct product of C2 and C8.6D696C2xC8.6D6192,737
C24.27C2320th non-split extension by C24 of C23 acting via C23/C2=C22964C24.27C2^3192,738
(C2×Q16)⋊S32nd semidirect product of C2×Q16 and S3 acting via S3/C3=C296(C2xQ16):S3192,744
D65Q162nd semidirect product of D6 and Q16 acting via Q16/Q8=C296D6:5Q16192,745
D12.17D417th non-split extension by D12 of D4 acting via D4/C2=C2296D12.17D4192,746
D63Q163rd semidirect product of D6 and Q16 acting via Q16/C8=C296D6:3Q16192,747
C24.36D436th non-split extension by C24 of D4 acting via D4/C2=C2296C24.36D4192,748
C24.37D437th non-split extension by C24 of D4 acting via D4/C2=C2296C24.37D4192,749
C24.28D428th non-split extension by C24 of D4 acting via D4/C2=C2296C24.28D4192,750
C24.29D429th non-split extension by C24 of D4 acting via D4/C2=C22964C24.29D4192,751
Q16.D63rd non-split extension by Q16 of D6 acting via D6/C6=C2964Q16.D6192,753
D8.9D64th non-split extension by D8 of D6 acting via D6/C6=C2964-D8.9D6192,754
M4(2).16D616th non-split extension by M4(2) of D6 acting via D6/C3=C22968-M4(2).16D6192,763
C2×C12.55D4Direct product of C2 and C12.55D496C2xC12.55D4192,765
C4×C6.D4Direct product of C4 and C6.D496C4xC6.D4192,768
C24.73D62nd non-split extension by C24 of D6 acting via D6/C6=C296C2^4.73D6192,769
C24.74D63rd non-split extension by C24 of D6 acting via D6/C6=C296C2^4.74D6192,770
C24.75D64th non-split extension by C24 of D6 acting via D6/C6=C296C2^4.75D6192,771
C24.76D65th non-split extension by C24 of D6 acting via D6/C6=C296C2^4.76D6192,772
C2×D4⋊Dic3Direct product of C2 and D4⋊Dic396C2xD4:Dic3192,773
C24.29D618th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.29D6192,779
C24.30D619th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.30D6192,780
C24.31D620th non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.31D6192,781
C24.32D621st non-split extension by C24 of D6 acting via D6/C3=C2296C2^4.32D6192,782
(C6×Q8)⋊6C42nd semidirect product of C6×Q8 and C4 acting via C4/C2=C296(C6xQ8):6C4192,784
C2×C12.10D4Direct product of C2 and C12.10D496C2xC12.10D4192,785
(C3×Q8)⋊13D41st semidirect product of C3×Q8 and D4 acting via D4/C22=C296(C3xQ8):13D4192,786
(C2×C6)⋊8Q162nd semidirect product of C2×C6 and Q16 acting via Q16/Q8=C296(C2xC6):8Q16192,787
(C22×Q8)⋊9S32nd semidirect product of C22×Q8 and S3 acting via S3/C3=C296(C2^2xQ8):9S3192,790
C4○D43Dic31st semidirect product of C4○D4 and Dic3 acting via Dic3/C6=C296C4oD4:3Dic3192,791
C4○D44Dic32nd semidirect product of C4○D4 and Dic3 acting via Dic3/C6=C296C4oD4:4Dic3192,792
(C6×D4).11C45th non-split extension by C6×D4 of C4 acting via C4/C2=C296(C6xD4).11C4192,793
(C3×D4)⋊14D42nd semidirect product of C3×D4 and D4 acting via D4/C22=C296(C3xD4):14D4192,797
(C3×D4).32D42nd non-split extension by C3×D4 of D4 acting via D4/C22=C296(C3xD4).32D4192,798
C12×C22⋊C4Direct product of C12 and C22⋊C496C12xC2^2:C4192,810
C3×C23.7Q8Direct product of C3 and C23.7Q896C3xC2^3.7Q8192,813
C3×C23.34D4Direct product of C3 and C23.34D496C3xC2^3.34D4192,814
C3×C23.8Q8Direct product of C3 and C23.8Q896C3xC2^3.8Q8192,818
C3×C23.23D4Direct product of C3 and C23.23D496C3xC2^3.23D4192,819
C3×C24.C22Direct product of C3 and C24.C2296C3xC2^4.C2^2192,821
C3×C24.3C22Direct product of C3 and C24.3C2296C3xC2^4.3C2^2192,823
C3×C232D4Direct product of C3 and C232D496C3xC2^3:2D4192,825
C3×C23⋊Q8Direct product of C3 and C23⋊Q896C3xC2^3:Q8192,826
C3×C23.10D4Direct product of C3 and C23.10D496C3xC2^3.10D4192,827
C3×C23.Q8Direct product of C3 and C23.Q896C3xC2^3.Q8192,829
C3×C23.11D4Direct product of C3 and C23.11D496C3xC2^3.11D4192,830
C3×C23.4Q8Direct product of C3 and C23.4Q896C3xC2^3.4Q8192,832
C12×M4(2)Direct product of C12 and M4(2)96C12xM4(2)192,837
C3×C82M4(2)Direct product of C3 and C82M4(2)96C3xC8o2M4(2)192,838
C6×C22⋊C8Direct product of C6 and C22⋊C896C6xC2^2:C8192,839
C3×(C22×C8)⋊C2Direct product of C3 and (C22×C8)⋊C296C3x(C2^2xC8):C2192,841
C6×C4.10D4Direct product of C6 and C4.10D496C6xC4.10D4192,845
C6×D4⋊C4Direct product of C6 and D4⋊C496C6xD4:C4192,847
C3×C23.24D4Direct product of C3 and C23.24D496C3xC2^3.24D4192,849
C3×C23.36D4Direct product of C3 and C23.36D496C3xC2^3.36D4192,850
C3×C23.38D4Direct product of C3 and C23.38D496C3xC2^3.38D4192,852
C3×C4⋊M4(2)Direct product of C3 and C4⋊M4(2)96C3xC4:M4(2)192,856
C3×C42.6C22Direct product of C3 and C42.6C2296C3xC4^2.6C2^2192,857
C3×C23.25D4Direct product of C3 and C23.25D496C3xC2^3.25D4192,860
C3×M4(2)⋊C4Direct product of C3 and M4(2)⋊C496C3xM4(2):C4192,861
C6×C8.C4Direct product of C6 and C8.C496C6xC8.C4192,862
C3×C42.12C4Direct product of C3 and C42.12C496C3xC4^2.12C4192,864
C3×C42.6C4Direct product of C3 and C42.6C496C3xC4^2.6C4192,865
C3×C42.7C22Direct product of C3 and C42.7C2296C3xC4^2.7C2^2192,866
D4×C24Direct product of C24 and D496D4xC24192,867
C3×C89D4Direct product of C3 and C89D496C3xC8:9D4192,868
C3×C86D4Direct product of C3 and C86D496C3xC8:6D4192,869
C12×D8Direct product of C12 and D896C12xD8192,870
C12×SD16Direct product of C12 and SD1696C12xSD16192,871
C3×SD16⋊C4Direct product of C3 and SD16⋊C496C3xSD16:C4192,873
C3×D8⋊C4Direct product of C3 and D8⋊C496C3xD8:C4192,875
C3×Q8⋊D4Direct product of C3 and Q8⋊D496C3xQ8:D4192,881
C3×D4⋊D4Direct product of C3 and D4⋊D496C3xD4:D4192,882
C3×C22⋊Q16Direct product of C3 and C22⋊Q1696C3xC2^2:Q16192,884
C3×D4.7D4Direct product of C3 and D4.7D496C3xD4.7D4192,885
C3×C4⋊D8Direct product of C3 and C4⋊D896C3xC4:D8192,892
C3×C4⋊SD16Direct product of C3 and C4⋊SD1696C3xC4:SD16192,893
C3×D4.D4Direct product of C3 and D4.D496C3xD4.D4192,894
C3×D4.2D4Direct product of C3 and D4.2D496C3xD4.2D4192,896
C3×Q8.D4Direct product of C3 and Q8.D496C3xQ8.D4192,897
C3×C88D4Direct product of C3 and C88D496C3xC8:8D4192,898
C3×C87D4Direct product of C3 and C87D496C3xC8:7D4192,899
C3×C8.18D4Direct product of C3 and C8.18D496C3xC8.18D4192,900
C3×C8⋊D4Direct product of C3 and C8⋊D496C3xC8:D4192,901
C3×C82D4Direct product of C3 and C82D496C3xC8:2D4192,902
C3×C8.D4Direct product of C3 and C8.D496C3xC8.D4192,903
C3×D4.5D4Direct product of C3 and D4.5D4964C3xD4.5D4192,906
C3×D4⋊Q8Direct product of C3 and D4⋊Q896C3xD4:Q8192,907
C3×D42Q8Direct product of C3 and D42Q896C3xD4:2Q8192,909
C3×D4.Q8Direct product of C3 and D4.Q896C3xD4.Q8192,911
C3×C22.D8Direct product of C3 and C22.D896C3xC2^2.D8192,913
C3×C23.46D4Direct product of C3 and C23.46D496C3xC2^3.46D4192,914
C3×C23.19D4Direct product of C3 and C23.19D496C3xC2^3.19D4192,915
C3×C23.47D4Direct product of C3 and C23.47D496C3xC2^3.47D4192,916
C3×C23.48D4Direct product of C3 and C23.48D496C3xC2^3.48D4192,917
C3×C23.20D4Direct product of C3 and C23.20D496C3xC2^3.20D4192,918
C3×C4.4D8Direct product of C3 and C4.4D896C3xC4.4D8192,919
C3×C42.78C22Direct product of C3 and C42.78C2296C3xC4^2.78C2^2192,921
C3×C42.28C22Direct product of C3 and C42.28C2296C3xC4^2.28C2^2192,922
C3×C42.29C22Direct product of C3 and C42.29C2296C3xC4^2.29C2^2192,923
C3×C85D4Direct product of C3 and C85D496C3xC8:5D4192,925
C3×C84D4Direct product of C3 and C84D496C3xC8:4D4192,926
C3×C8.12D4Direct product of C3 and C8.12D496C3xC8.12D4192,928
C3×C83D4Direct product of C3 and C83D496C3xC8:3D4192,929
C3×C8.2D4Direct product of C3 and C8.2D496C3xC8.2D4192,930
C6×M5(2)Direct product of C6 and M5(2)96C6xM5(2)192,936
C3×D4○C16Direct product of C3 and D4○C16962C3xD4oC16192,937
C6×D16Direct product of C6 and D1696C6xD16192,938
C6×SD32Direct product of C6 and SD3296C6xSD32192,939
C3×C4○D16Direct product of C3 and C4○D16962C3xC4oD16192,941
C3×Q32⋊C2Direct product of C3 and Q32⋊C2964C3xQ32:C2192,943
C42.274D633rd non-split extension by C42 of D6 acting via D6/C6=C296C4^2.274D6192,1029
S3×C2×C42Direct product of C2×C42 and S396S3xC2xC4^2192,1030
C2×C422S3Direct product of C2 and C422S396C2xC4^2:2S3192,1031
C2×C4×D12Direct product of C2×C4 and D1296C2xC4xD12192,1032
C4×C4○D12Direct product of C4 and C4○D1296C4xC4oD12192,1033
C2×C4⋊D12Direct product of C2 and C4⋊D1296C2xC4:D12192,1034
C2×C427S3Direct product of C2 and C427S396C2xC4^2:7S3192,1035
C42.276D635th non-split extension by C42 of D6 acting via D6/C6=C296C4^2.276D6192,1036
C2×C423S3Direct product of C2 and C423S396C2xC4^2:3S3192,1037
C42.277D636th non-split extension by C42 of D6 acting via D6/C6=C296C4^2.277D6192,1038
C2×C23.16D6Direct product of C2 and C23.16D696C2xC2^3.16D6192,1039
C2×Dic3.D4Direct product of C2 and Dic3.D496C2xDic3.D4192,1040
C2×C23.8D6Direct product of C2 and C23.8D696C2xC2^3.8D6192,1041
C2×Dic34D4Direct product of C2 and Dic34D496C2xDic3:4D4192,1044
C2×C23.9D6Direct product of C2 and C23.9D696C2xC2^3.9D6192,1047
C2×Dic3⋊D4Direct product of C2 and Dic3⋊D496C2xDic3:D4192,1048
C2×C23.11D6Direct product of C2 and C23.11D696C2xC2^3.11D6192,1050
C2×C23.21D6Direct product of C2 and C23.21D696C2xC2^3.21D6192,1051
C6.72+ 1+47th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.7ES+(2,2)192,1059
C2×S3×C4⋊C4Direct product of C2, S3 and C4⋊C496C2xS3xC4:C4192,1060
C2×C4⋊C47S3Direct product of C2 and C4⋊C47S396C2xC4:C4:7S3192,1061
C2×Dic35D4Direct product of C2 and Dic35D496C2xDic3:5D4192,1062
C6.82+ 1+48th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.8ES+(2,2)192,1063
C2×D6.D4Direct product of C2 and D6.D496C2xD6.D4192,1064
C2×C12⋊D4Direct product of C2 and C12⋊D496C2xC12:D4192,1065
C6.2- 1+43rd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.ES-(2,2)192,1066
C2×D6⋊Q8Direct product of C2 and D6⋊Q896C2xD6:Q8192,1067
C2×C4.D12Direct product of C2 and C4.D1296C2xC4.D12192,1068
C6.2+ 1+49th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.ES+(2,2)192,1069
C6.102+ 1+410th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.10ES+(2,2)192,1070
C2×C4⋊C4⋊S3Direct product of C2 and C4⋊C4⋊S396C2xC4:C4:S3192,1071
C6.52- 1+45th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.5ES-(2,2)192,1072
C6.112+ 1+411st non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.11ES+(2,2)192,1073
C6.62- 1+46th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.6ES-(2,2)192,1074
C42.87D687th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.87D6192,1075
C42.88D688th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.88D6192,1076
C42.89D689th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.89D6192,1077
C42.90D690th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.90D6192,1078
C42.188D68th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.188D6192,1081
C42.91D691st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.91D6192,1082
C42.92D692nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.92D6192,1085
C42.93D693rd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.93D6192,1087
C42.94D694th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.94D6192,1088
C42.95D695th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.95D6192,1089
C42.96D696th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.96D6192,1090
C42.97D697th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.97D6192,1091
C42.98D698th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.98D6192,1092
C42.99D699th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.99D6192,1093
C42.100D6100th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.100D6192,1094
C4×D42S3Direct product of C4 and D42S396C4xD4:2S3192,1095
D4×Dic6Direct product of D4 and Dic696D4xDic6192,1096
C42.102D6102nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.102D6192,1097
D45Dic61st semidirect product of D4 and Dic6 acting through Inn(D4)96D4:5Dic6192,1098
C42.104D6104th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.104D6192,1099
C42.105D6105th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.105D6192,1100
C42.106D6106th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.106D6192,1101
D46Dic62nd semidirect product of D4 and Dic6 acting through Inn(D4)96D4:6Dic6192,1102
C42.108D6108th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.108D6192,1105
C42.228D648th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.228D6192,1107
D1224D42nd semidirect product of D12 and D4 acting through Inn(D12)96D12:24D4192,1110
Dic623D41st semidirect product of Dic6 and D4 acting through Inn(Dic6)96Dic6:23D4192,1111
Dic624D42nd semidirect product of Dic6 and D4 acting through Inn(Dic6)96Dic6:24D4192,1112
D46D122nd semidirect product of D4 and D12 acting through Inn(D4)96D4:6D12192,1114
C42.229D649th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.229D6192,1116
C42.113D6113rd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.113D6192,1117
C42.114D6114th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.114D6192,1118
C42.115D6115th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.115D6192,1120
C42.116D6116th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.116D6192,1121
C42.117D6117th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.117D6192,1122
C42.118D6118th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.118D6192,1123
C42.119D6119th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.119D6192,1124
C42.122D6122nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.122D6192,1127
C4×S3×Q8Direct product of C4, S3 and Q896C4xS3xQ8192,1130
C42.125D6125th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.125D6192,1131
C4×Q83S3Direct product of C4 and Q83S396C4xQ8:3S3192,1132
C42.126D6126th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.126D6192,1133
Q8×D12Direct product of Q8 and D1296Q8xD12192,1134
Q86D121st semidirect product of Q8 and D12 acting through Inn(Q8)96Q8:6D12192,1135
Q87D122nd semidirect product of Q8 and D12 acting through Inn(Q8)96Q8:7D12192,1136
C42.232D652nd non-split extension by C42 of D6 acting via D6/S3=C296C4^2.232D6192,1137
D1210Q8The semidirect product of D12 and Q8 acting through Inn(D12)96D12:10Q8192,1138
C42.131D6131st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.131D6192,1139
C42.132D6132nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.132D6192,1140
C42.133D6133rd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.133D6192,1141
C42.134D6134th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.134D6192,1142
C42.135D6135th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.135D6192,1143
C42.136D6136th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.136D6192,1144
C12⋊(C4○D4)2nd semidirect product of C12 and C4○D4 acting via C4○D4/C22=C2296C12:(C4oD4)192,1155
C6.322+ 1+432nd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.32ES+(2,2)192,1156
Dic619D47th semidirect product of Dic6 and D4 acting via D4/C22=C296Dic6:19D4192,1157
Dic620D48th semidirect product of Dic6 and D4 acting via D4/C22=C296Dic6:20D4192,1158
C4⋊C4.178D651st non-split extension by C4⋊C4 of D6 acting via D6/S3=C296C4:C4.178D6192,1159
C6.342+ 1+434th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.34ES+(2,2)192,1160
C6.702- 1+425th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.70ES-(2,2)192,1161
C6.712- 1+426th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.71ES-(2,2)192,1162
C6.722- 1+427th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.72ES-(2,2)192,1167
C6.732- 1+428th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.73ES-(2,2)192,1170
C6.432+ 1+443rd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.43ES+(2,2)192,1173
C6.442+ 1+444th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.44ES+(2,2)192,1174
C6.452+ 1+445th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.45ES+(2,2)192,1175
C6.1152+ 1+424th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C296C6.115ES+(2,2)192,1177
C6.472+ 1+447th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.47ES+(2,2)192,1178
C6.492+ 1+449th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.49ES+(2,2)192,1180
(Q8×Dic3)⋊C210th semidirect product of Q8×Dic3 and C2 acting faithfully96(Q8xDic3):C2192,1181
C6.752- 1+430th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.75ES-(2,2)192,1182
C4⋊C4.187D660th non-split extension by C4⋊C4 of D6 acting via D6/S3=C296C4:C4.187D6192,1183
C6.152- 1+415th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.15ES-(2,2)192,1184
C6.162- 1+416th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.16ES-(2,2)192,1187
C6.172- 1+417th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.17ES-(2,2)192,1188
D1222D410th semidirect product of D12 and D4 acting via D4/C22=C296D12:22D4192,1190
Dic621D49th semidirect product of Dic6 and D4 acting via D4/C22=C296Dic6:21D4192,1191
Dic622D410th semidirect product of Dic6 and D4 acting via D4/C22=C296Dic6:22D4192,1192
C6.1182+ 1+427th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C296C6.118ES+(2,2)192,1194
C6.522+ 1+452nd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.52ES+(2,2)192,1195
C6.202- 1+420th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.20ES-(2,2)192,1197
C6.212- 1+421st non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.21ES-(2,2)192,1198
C6.222- 1+422nd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.22ES-(2,2)192,1199
C6.232- 1+423rd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.23ES-(2,2)192,1200
C6.772- 1+432nd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.77ES-(2,2)192,1201
C6.242- 1+424th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.24ES-(2,2)192,1202
C6.782- 1+433rd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.78ES-(2,2)192,1204
C6.252- 1+425th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.25ES-(2,2)192,1205
C6.592+ 1+459th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.59ES+(2,2)192,1206
C6.792- 1+434th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.79ES-(2,2)192,1207
C4⋊C4.197D670th non-split extension by C4⋊C4 of D6 acting via D6/S3=C296C4:C4.197D6192,1208
C6.802- 1+435th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.80ES-(2,2)192,1209
C6.812- 1+436th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.81ES-(2,2)192,1210
C6.822- 1+437th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.82ES-(2,2)192,1214
C6.632+ 1+463rd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.63ES+(2,2)192,1219
C6.642+ 1+464th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.64ES+(2,2)192,1220
C6.652+ 1+465th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.65ES+(2,2)192,1221
C6.662+ 1+466th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.66ES+(2,2)192,1222
C6.672+ 1+467th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.67ES+(2,2)192,1223
C6.852- 1+440th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.85ES-(2,2)192,1224
C6.692+ 1+469th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C296C6.69ES+(2,2)192,1226
C42.233D653rd non-split extension by C42 of D6 acting via D6/S3=C296C4^2.233D6192,1227
C42.137D6137th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.137D6192,1228
C42.138D6138th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.138D6192,1229
C42.139D6139th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.139D6192,1230
C42.140D6140th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.140D6192,1231
C42.141D6141st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.141D6192,1234
Dic610D43rd semidirect product of Dic6 and D4 acting via D4/C4=C296Dic6:10D4192,1236
C42.234D654th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.234D6192,1239
C42.143D6143rd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.143D6192,1240
C42.144D6144th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.144D6192,1241
C42.145D6145th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.145D6192,1243
S3×C42.C2Direct product of S3 and C42.C296S3xC4^2.C2192,1246
C42.236D656th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.236D6192,1247
C42.148D6148th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.148D6192,1248
D127Q85th semidirect product of D12 and Q8 acting via Q8/C4=C296D12:7Q8192,1249
C42.237D657th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.237D6192,1250
C42.150D6150th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.150D6192,1251
C42.151D6151st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.151D6192,1252
C42.152D6152nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.152D6192,1253
C42.153D6153rd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.153D6192,1254
C42.154D6154th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.154D6192,1255
C42.155D6155th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.155D6192,1256
C42.156D6156th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.156D6192,1257
C42.157D6157th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.157D6192,1258
C42.158D6158th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.158D6192,1259
C42.159D6159th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.159D6192,1260
C42.160D6160th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.160D6192,1261
C42.189D69th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.189D6192,1265
C42.161D6161st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.161D6192,1266
C42.162D6162nd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.162D6192,1267
C42.163D6163rd non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.163D6192,1268
C42.164D6164th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.164D6192,1269
C42.165D6165th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.165D6192,1271
C42.166D6166th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.166D6192,1272
C42.238D658th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.238D6192,1275
Dic611D44th semidirect product of Dic6 and D4 acting via D4/C4=C296Dic6:11D4192,1277
C42.168D6168th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.168D6192,1278
S3×C4⋊Q8Direct product of S3 and C4⋊Q896S3xC4:Q8192,1282
C42.171D6171st non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.171D6192,1283
C42.240D660th non-split extension by C42 of D6 acting via D6/S3=C296C4^2.240D6192,1284
D1212D45th semidirect product of D12 and D4 acting via D4/C4=C296D12:12D4192,1285
D128Q86th semidirect product of D12 and Q8 acting via Q8/C4=C296D12:8Q8192,1286
C42.241D661st non-split extension by C42 of D6 acting via D6/S3=C296C4^2.241D6192,1287
C42.174D6174th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.174D6192,1288
D129Q87th semidirect product of D12 and Q8 acting via Q8/C4=C296D12:9Q8192,1289
C42.176D6176th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.176D6192,1290
C42.177D6177th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.177D6192,1291
C42.178D6178th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.178D6192,1292
C42.179D6179th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.179D6192,1293
C42.180D6180th non-split extension by C42 of D6 acting via D6/C3=C2296C4^2.180D6192,1294
S3×C22×C8Direct product of C22×C8 and S396S3xC2^2xC8192,1295
C22×C8⋊S3Direct product of C22 and C8⋊S396C2^2xC8:S3192,1296
C2×C8○D12Direct product of C2 and C8○D1296C2xC8oD12192,1297
C22×C24⋊C2Direct product of C22 and C24⋊C296C2^2xC24:C2192,1298
C22×D24Direct product of C22 and D2496C2^2xD24192,1299
C2×C4○D24Direct product of C2 and C4○D2496C2xC4oD24192,1300
C2×D12.C4Direct product of C2 and D12.C496C2xD12.C4192,1303
C2×C8.D6Direct product of C2 and C8.D696C2xC8.D6192,1306
D4.13D123rd non-split extension by D4 of D12 acting through Inn(D4)964-D4.13D12192,1312
C2×D83S3Direct product of C2 and D83S396C2xD8:3S3192,1315
C2×D4.D6Direct product of C2 and D4.D696C2xD4.D6192,1319
C2×Q8.7D6Direct product of C2 and Q8.7D696C2xQ8.7D6192,1320
C2×S3×Q16Direct product of C2, S3 and Q1696C2xS3xQ16192,1322
C2×Q16⋊S3Direct product of C2 and Q16⋊S396C2xQ16:S3192,1323
C2×D24⋊C2Direct product of C2 and D24⋊C296C2xD24:C2192,1324
D12.30D413rd non-split extension by D12 of D4 acting via D4/C4=C2964D12.30D4192,1325
D8.10D6The non-split extension by D8 of D6 acting through Inn(D8)964-D8.10D6192,1330
SD16.D6The non-split extension by SD16 of D6 acting via D6/S3=C2968-SD16.D6192,1338
C22×C4.Dic3Direct product of C22 and C4.Dic396C2^2xC4.Dic3192,1340
C2×C12.48D4Direct product of C2 and C12.48D496C2xC12.48D4192,1343
C2×C23.26D6Direct product of C2 and C23.26D696C2xC2^3.26D6192,1345
C22×D6⋊C4Direct product of C22 and D6⋊C496C2^2xD6:C4192,1346
C2×C4×C3⋊D4Direct product of C2×C4 and C3⋊D496C2xC4xC3:D4192,1347
C2×C23.28D6Direct product of C2 and C23.28D696C2xC2^3.28D6192,1348
C2×C127D4Direct product of C2 and C127D496C2xC12:7D4192,1349
C22×D4⋊S3Direct product of C22 and D4⋊S396C2^2xD4:S3192,1351
C22×D4.S3Direct product of C22 and D4.S396C2^2xD4.S3192,1353
C2×D4×Dic3Direct product of C2, D4 and Dic396C2xD4xDic3192,1354
C2×C23.23D6Direct product of C2 and C23.23D696C2xC2^3.23D6192,1355
C2×C23.12D6Direct product of C2 and C23.12D696C2xC2^3.12D6192,1356
C2×D63D4Direct product of C2 and D63D496C2xD6:3D4192,1359
C2×C23.14D6Direct product of C2 and C23.14D696C2xC2^3.14D6192,1361
C2×C123D4Direct product of C2 and C123D496C2xC12:3D4192,1362
C22×Q82S3Direct product of C22 and Q82S396C2^2xQ8:2S3192,1366
C2×Q8.11D6Direct product of C2 and Q8.11D696C2xQ8.11D6192,1367
C6.422- 1+442nd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.42ES-(2,2)192,1371
C2×D63Q8Direct product of C2 and D63Q896C2xD6:3Q8192,1372
C2×C12.23D4Direct product of C2 and C12.23D496C2xC12.23D4192,1373
Q8×C3⋊D4Direct product of Q8 and C3⋊D496Q8xC3:D4192,1374
C6.442- 1+444th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.44ES-(2,2)192,1375
C6.452- 1+445th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C2×Q8=C296C6.45ES-(2,2)192,1376
C2×D4.Dic3Direct product of C2 and D4.Dic396C2xD4.Dic3192,1377
C2×Q8.13D6Direct product of C2 and Q8.13D696C2xQ8.13D6192,1380
C2×Q8.14D6Direct product of C2 and Q8.14D696C2xQ8.14D6192,1382
C6.1042- 1+459th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.104ES-(2,2)192,1383
C6.1052- 1+460th non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.105ES-(2,2)192,1384
Dic3×C4○D4Direct product of Dic3 and C4○D496Dic3xC4oD4192,1385
C6.1442+ 1+453rd non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C296C6.144ES+(2,2)192,1386
C6.1072- 1+462nd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.107ES-(2,2)192,1390
(C2×C12)⋊17D413rd semidirect product of C2×C12 and D4 acting via D4/C2=C2296(C2xC12):17D4192,1391
C6.1082- 1+463rd non-split extension by C6 of 2- 1+4 acting via 2- 1+4/C4○D4=C296C6.108ES-(2,2)192,1392
C6.1482+ 1+457th non-split extension by C6 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C296C6.148ES+(2,2)192,1393
D12.35C2316th non-split extension by D12 of C23 acting via C23/C22=C2968-D12.35C2^3192,1397
C22×C6.D4Direct product of C22 and C6.D496C2^2xC6.D4192,1398
C2×C6×C22⋊C4Direct product of C2×C6 and C22⋊C496C2xC6xC2^2:C4192,1401
C6×C42⋊C2Direct product of C6 and C42⋊C296C6xC4^2:C2192,1403
D4×C2×C12Direct product of C2×C12 and D496D4xC2xC12192,1404
C12×C4○D4Direct product of C12 and C4○D496C12xC4oD4192,1406
C3×C23.32C23Direct product of C3 and C23.32C2396C3xC2^3.32C2^3192,1408
C3×C23.33C23Direct product of C3 and C23.33C2396C3xC2^3.33C2^3192,1409
C6×C4⋊D4Direct product of C6 and C4⋊D496C6xC4:D4192,1411
C6×C22⋊Q8Direct product of C6 and C22⋊Q896C6xC2^2:Q8192,1412
C6×C22.D4Direct product of C6 and C22.D496C6xC2^2.D4192,1413
C6×C4.4D4Direct product of C6 and C4.4D496C6xC4.4D4192,1415
C6×C422C2Direct product of C6 and C422C296C6xC4^2:2C2192,1417
C3×C23.36C23Direct product of C3 and C23.36C2396C3xC2^3.36C2^3192,1418
C6×C41D4Direct product of C6 and C41D496C6xC4:1D4192,1419
C3×C22.26C24Direct product of C3 and C22.26C2496C3xC2^2.26C2^4192,1421
C3×C23.37C23Direct product of C3 and C23.37C2396C3xC2^3.37C2^3192,1422
C3×C23.38C23Direct product of C3 and C23.38C2396C3xC2^3.38C2^3192,1425
C3×C22.31C24Direct product of C3 and C22.31C2496C3xC2^2.31C2^4192,1426
C3×C22.33C24Direct product of C3 and C22.33C2496C3xC2^2.33C2^4192,1428
C3×C22.34C24Direct product of C3 and C22.34C2496C3xC2^2.34C2^4192,1429
C3×C22.35C24Direct product of C3 and C22.35C2496C3xC2^2.35C2^4192,1430
C3×C22.36C24Direct product of C3 and C22.36C2496C3xC2^2.36C2^4192,1431
C3×C23.41C23Direct product of C3 and C23.41C2396C3xC2^3.41C2^3192,1433
C3×D46D4Direct product of C3 and D46D496C3xD4:6D4192,1436
C3×Q85D4Direct product of C3 and Q85D496C3xQ8:5D4192,1437
C3×D4×Q8Direct product of C3, D4 and Q896C3xD4xQ8192,1438
C3×Q86D4Direct product of C3 and Q86D496C3xQ8:6D4192,1439
C3×C22.46C24Direct product of C3 and C22.46C2496C3xC2^2.46C2^4192,1441
C3×C22.47C24Direct product of C3 and C22.47C2496C3xC2^2.47C2^4192,1442
C3×D43Q8Direct product of C3 and D43Q896C3xD4:3Q8192,1443
C3×C22.49C24Direct product of C3 and C22.49C2496C3xC2^2.49C2^4192,1444
C3×C22.50C24Direct product of C3 and C22.50C2496C3xC2^2.50C2^4192,1445
C3×C22.53C24Direct product of C3 and C22.53C2496C3xC2^2.53C2^4192,1448
C3×C22.56C24Direct product of C3 and C22.56C2496C3xC2^2.56C2^4192,1451
C3×C22.57C24Direct product of C3 and C22.57C2496C3xC2^2.57C2^4192,1452
C2×C6×M4(2)Direct product of C2×C6 and M4(2)96C2xC6xM4(2)192,1455
C6×C8○D4Direct product of C6 and C8○D496C6xC8oD4192,1456
C2×C6×D8Direct product of C2×C6 and D896C2xC6xD8192,1458
C2×C6×SD16Direct product of C2×C6 and SD1696C2xC6xSD16192,1459
C6×C4○D8Direct product of C6 and C4○D896C6xC4oD8192,1461
C6×C8.C22Direct product of C6 and C8.C2296C6xC8.C2^2192,1463
C3×Q8○D8Direct product of C3 and Q8○D8964C3xQ8oD8192,1467
S3×C23×C4Direct product of C23×C4 and S396S3xC2^3xC4192,1511
C23×D12Direct product of C23 and D1296C2^3xD12192,1512
C22×C4○D12Direct product of C22 and C4○D1296C2^2xC4oD12192,1513
C22×D42S3Direct product of C22 and D42S396C2^2xD4:2S3192,1515
C22×S3×Q8Direct product of C22, S3 and Q896C2^2xS3xQ8192,1517
C22×Q83S3Direct product of C22 and Q83S396C2^2xQ8:3S3192,1518
C2×Q8.15D6Direct product of C2 and Q8.15D696C2xQ8.15D6192,1519
C2×Q8○D12Direct product of C2 and Q8○D1296C2xQ8oD12192,1522
C23×C3⋊D4Direct product of C23 and C3⋊D496C2^3xC3:D4192,1529
D4×C22×C6Direct product of C22×C6 and D496D4xC2^2xC6192,1531
C2×C6×C4○D4Direct product of C2×C6 and C4○D496C2xC6xC4oD4192,1533
C6×2- 1+4Direct product of C6 and 2- 1+496C6xES-(2,2)192,1535
S3×C25Direct product of C25 and S396S3xC2^5192,1542

Groups of order 288

dρLabelID
C3×C3⋊C32Direct product of C3 and C3⋊C32962C3xC3:C32288,64
C322C32The semidirect product of C32 and C32 acting via C32/C8=C4964C3^2:2C32288,188
S3×C3⋊C16Direct product of S3 and C3⋊C16964S3xC3:C16288,189
C24.61D614th non-split extension by C24 of D6 acting via D6/S3=C2964C24.61D6288,191
C322D161st semidirect product of C32 and D16 acting via D16/C8=C22964C3^2:2D16288,193
D24.S32nd non-split extension by D24 of S3 acting via S3/C3=C2964D24.S3288,195
C323SD322nd semidirect product of C32 and SD32 acting via SD32/C8=C22964-C3^2:3SD32288,196
C322Q321st semidirect product of C32 and Q32 acting via Q32/C8=C22964C3^2:2Q32288,198
C323Q322nd semidirect product of C32 and Q32 acting via Q32/C8=C22964-C3^2:3Q32288,199
Dic3×C3⋊C8Direct product of Dic3 and C3⋊C896Dic3xC3:C8288,200
C6.(S3×C8)3rd non-split extension by C6 of S3×C8 acting via S3×C8/C3⋊C8=C296C6.(S3xC8)288,201
C3⋊C8⋊Dic33rd semidirect product of C3⋊C8 and Dic3 acting via Dic3/C6=C296C3:C8:Dic3288,202
C2.Dic322nd central stem extension by C2 of Dic3296C2.Dic3^2288,203
C12.77D128th non-split extension by C12 of D12 acting via D12/D6=C296C12.77D12288,204
D123Dic33rd semidirect product of D12 and Dic3 acting via Dic3/C6=C296D12:3Dic3288,210
C6.16D245th non-split extension by C6 of D24 acting via D24/D12=C296C6.16D24288,211
Dic6⋊Dic33rd semidirect product of Dic6 and Dic3 acting via Dic3/C6=C296Dic6:Dic3288,213
C6.Dic121st non-split extension by C6 of Dic12 acting via Dic12/Dic6=C296C6.Dic12288,214
C12.73D124th non-split extension by C12 of D12 acting via D12/D6=C296C12.73D12288,215
C12.81D1212nd non-split extension by C12 of D12 acting via D12/D6=C296C12.81D12288,219
C12.15Dic62nd non-split extension by C12 of Dic6 acting via Dic6/Dic3=C296C12.15Dic6288,220
C12.Dic65th non-split extension by C12 of Dic6 acting via Dic6/C6=C2296C12.Dic6288,221
C12.6Dic66th non-split extension by C12 of Dic6 acting via Dic6/C6=C2296C12.6Dic6288,222
C6.18D247th non-split extension by C6 of D24 acting via D24/D12=C296C6.18D24288,223
C12.8Dic68th non-split extension by C12 of Dic6 acting via Dic6/C6=C2296C12.8Dic6288,224
C62.6Q83rd non-split extension by C62 of Q8 acting via Q8/C2=C2296C6^2.6Q8288,227
S3×C48Direct product of C48 and S3962S3xC48288,231
C3×D6.C8Direct product of C3 and D6.C8962C3xD6.C8288,232
C3×D48Direct product of C3 and D48962C3xD48288,233
C3×C48⋊C2Direct product of C3 and C48⋊C2962C3xC48:C2288,234
C3×Dic24Direct product of C3 and Dic24962C3xDic24288,235
C12×C3⋊C8Direct product of C12 and C3⋊C896C12xC3:C8288,236
C3×C42.S3Direct product of C3 and C42.S396C3xC4^2.S3288,237
C3×C12⋊C8Direct product of C3 and C12⋊C896C3xC12:C8288,238
C3×C6.Q16Direct product of C3 and C6.Q1696C3xC6.Q16288,241
C3×C12.Q8Direct product of C3 and C12.Q896C3xC12.Q8288,242
C3×C6.D8Direct product of C3 and C6.D896C3xC6.D8288,243
C3×C6.SD16Direct product of C3 and C6.SD1696C3xC6.SD16288,244
C6×C3⋊C16Direct product of C6 and C3⋊C1696C6xC3:C16288,245
Dic3×C24Direct product of C24 and Dic396Dic3xC24288,247
C3×Dic3⋊C8Direct product of C3 and Dic3⋊C896C3xDic3:C8288,248
C3×C24⋊C4Direct product of C3 and C24⋊C496C3xC24:C4288,249
C3×C2.Dic12Direct product of C3 and C2.Dic1296C3xC2.Dic12288,250
C3×C8⋊Dic3Direct product of C3 and C8⋊Dic396C3xC8:Dic3288,251
C3×C241C4Direct product of C3 and C241C496C3xC24:1C4288,252
C3×D6⋊C8Direct product of C3 and D6⋊C896C3xD6:C8288,254
C3×C2.D24Direct product of C3 and C2.D2496C3xC2.D24288,255
C3×C8.6D6Direct product of C3 and C8.6D6964C3xC8.6D6288,262
C3×C3⋊Q32Direct product of C3 and C3⋊Q32964C3xC3:Q32288,263
C3×C6.C42Direct product of C3 and C6.C4296C3xC6.C4^2288,265
C3×Q82Dic3Direct product of C3 and Q82Dic396C3xQ8:2Dic3288,269
C32⋊C32The semidirect product of C32 and C32 acting via C32/C4=C8968C3^2:C32288,373
C32⋊Q32The semidirect product of C32 and Q32 acting via Q32/C4=D4968-C3^2:Q32288,384
C62.4D44th non-split extension by C62 of D4 acting faithfully96C6^2.4D4288,388
C62.6D46th non-split extension by C62 of D4 acting faithfully96C6^2.6D4288,390
C62.7D47th non-split extension by C62 of D4 acting faithfully96C6^2.7D4288,391
C3×Q8⋊Dic3Direct product of C3 and Q8⋊Dic396C3xQ8:Dic3288,399
C6.GL2(𝔽3)3rd non-split extension by C6 of GL2(𝔽3) acting via GL2(𝔽3)/SL2(𝔽3)=C296C6.GL(2,3)288,403
Dic3×SL2(𝔽3)Direct product of Dic3 and SL2(𝔽3)96Dic3xSL(2,3)288,409
SL2(𝔽3).Dic3The non-split extension by SL2(𝔽3) of Dic3 acting through Inn(SL2(𝔽3))964SL(2,3).Dic3288,410
C2×C322C16Direct product of C2 and C322C1696C2xC3^2:2C16288,420
C4×C322C8Direct product of C4 and C322C896C4xC3^2:2C8288,423
(C3×C12)⋊4C82nd semidirect product of C3×C12 and C8 acting via C8/C2=C496(C3xC12):4C8288,424
C322C8⋊C46th semidirect product of C322C8 and C4 acting via C4/C2=C296C3^2:2C8:C4288,425
C325(C4⋊C8)2nd semidirect product of C32 and C4⋊C8 acting via C4⋊C8/C2×C4=C496C3^2:5(C4:C8)288,427
S3×Dic12Direct product of S3 and Dic12964-S3xDic12288,447
C24.3D63rd non-split extension by C24 of D6 acting via D6/C3=C22964-C24.3D6288,448
D247S3The semidirect product of D24 and S3 acting through Inn(D24)964-D24:7S3288,455
C2×S3×C3⋊C8Direct product of C2, S3 and C3⋊C896C2xS3xC3:C8288,460
C2×D6.Dic3Direct product of C2 and D6.Dic396C2xD6.Dic3288,467
C2×C322D8Direct product of C2 and C322D896C2xC3^2:2D8288,469
C2×Dic6⋊S3Direct product of C2 and Dic6⋊S396C2xDic6:S3288,474
C2×D12.S3Direct product of C2 and D12.S396C2xD12.S3288,476
C2×C322Q16Direct product of C2 and C322Q1696C2xC3^2:2Q16288,482
C2×C323Q16Direct product of C2 and C323Q1696C2xC3^2:3Q16288,483
Dic35Dic61st semidirect product of Dic3 and Dic6 acting through Inn(Dic3)96Dic3:5Dic6288,485
C62.8C233rd non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.8C2^3288,486
C62.9C234th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.9C2^3288,487
C62.10C235th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.10C2^3288,488
C62.11C236th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.11C2^3288,489
Dic3×Dic6Direct product of Dic3 and Dic696Dic3xDic6288,490
C62.13C238th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.13C2^3288,491
Dic36Dic62nd semidirect product of Dic3 and Dic6 acting through Inn(Dic3)96Dic3:6Dic6288,492
Dic3.Dic61st non-split extension by Dic3 of Dic6 acting via Dic6/Dic3=C296Dic3.Dic6288,493
C62.16C2311st non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.16C2^3288,494
C62.17C2312nd non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.17C2^3288,495
D6⋊Dic61st semidirect product of D6 and Dic6 acting via Dic6/C12=C296D6:Dic6288,499
C62.25C2320th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.25C2^3288,503
D66Dic62nd semidirect product of D6 and Dic6 acting via Dic6/C12=C296D6:6Dic6288,504
D67Dic63rd semidirect product of D6 and Dic6 acting via Dic6/C12=C296D6:7Dic6288,505
C62.28C2323rd non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.28C2^3288,506
C62.29C2324th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.29C2^3288,507
C12.27D1227th non-split extension by C12 of D12 acting via D12/C6=C2296C12.27D12288,508
C62.31C2326th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.31C2^3288,509
C62.32C2327th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.32C2^3288,510
C62.33C2328th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.33C2^3288,511
Dic3⋊Dic61st semidirect product of Dic3 and Dic6 acting via Dic6/C12=C296Dic3:Dic6288,514
C62.37C2332nd non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.37C2^3288,515
C62.39C2334th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.39C2^3288,517
C62.40C2335th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.40C2^3288,518
C62.42C2337th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.42C2^3288,520
C62.43C2338th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.43C2^3288,521
C4×S3×Dic3Direct product of C4, S3 and Dic396C4xS3xDic3288,523
S3×Dic3⋊C4Direct product of S3 and Dic3⋊C496S3xDic3:C4288,524
C62.47C2342nd non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.47C2^3288,525
C62.48C2343rd non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.48C2^3288,526
C62.49C2344th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.49C2^3288,527
C62.54C2349th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.54C2^3288,532
C62.55C2350th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.55C2^3288,533
D61Dic61st semidirect product of D6 and Dic6 acting via Dic6/Dic3=C296D6:1Dic6288,535
S3×C4⋊Dic3Direct product of S3 and C4⋊Dic396S3xC4:Dic3288,537
D6.9D126th non-split extension by D6 of D12 acting via D12/D6=C296D6.9D12288,539
Dic3×D12Direct product of Dic3 and D1296Dic3xD12288,540
D62Dic62nd semidirect product of D6 and Dic6 acting via Dic6/Dic3=C296D6:2Dic6288,541
D63Dic63rd semidirect product of D6 and Dic6 acting via Dic6/Dic3=C296D6:3Dic6288,544
D12⋊Dic35th semidirect product of D12 and Dic3 acting via Dic3/C6=C296D12:Dic3288,546
D64Dic64th semidirect product of D6 and Dic6 acting via Dic6/Dic3=C296D6:4Dic6288,547
C4×D6⋊S3Direct product of C4 and D6⋊S396C4xD6:S3288,549
C62.72C2367th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.72C2^3288,550
C62.75C2370th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.75C2^3288,553
D62D122nd semidirect product of D6 and D12 acting via D12/C12=C296D6:2D12288,556
C62.83C2378th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.83C2^3288,561
C62.84C2379th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.84C2^3288,562
C62.85C2380th non-split extension by C62 of C23 acting via C23/C2=C2296C6^2.85C2^3288,563
C4×C322Q8Direct product of C4 and C322Q896C4xC3^2:2Q8288,565
C123Dic61st semidirect product of C12 and Dic6 acting via Dic6/Dic3=C296C12:3Dic6288,566
C12⋊Dic61st semidirect product of C12 and Dic6 acting via Dic6/C6=C2296C12:Dic6288,567
S3×C3⋊Q16Direct product of S3 and C3⋊Q16968-S3xC3:Q16288,590
D12.11D611st non-split extension by D12 of D6 acting via D6/C3=C22968-D12.11D6288,591
D12.24D69th non-split extension by D12 of D6 acting via D6/S3=C2968-D12.24D6288,594
D12.12D612nd non-split extension by D12 of D6 acting via D6/C3=C22968-D12.12D6288,595
C2×Dic32Direct product of C2, Dic3 and Dic396C2xDic3^2288,602
C2×D6⋊Dic3Direct product of C2 and D6⋊Dic396C2xD6:Dic3288,608
C2×Dic3⋊Dic3Direct product of C2 and Dic3⋊Dic396C2xDic3:Dic3288,613
C2×C62.C22Direct product of C2 and C62.C2296C2xC6^2.C2^2288,615
C12×SL2(𝔽3)Direct product of C12 and SL2(𝔽3)96C12xSL(2,3)288,633
C3×C8.A4Direct product of C3 and C8.A4962C3xC8.A4288,638
C12×Dic6Direct product of C12 and Dic696C12xDic6288,639
C3×C122Q8Direct product of C3 and C122Q896C3xC12:2Q8288,640
C3×C12.6Q8Direct product of C3 and C12.6Q896C3xC12.6Q8288,641
S3×C4×C12Direct product of C4×C12 and S396S3xC4xC12288,642
C3×C422S3Direct product of C3 and C422S396C3xC4^2:2S3288,643
C12×D12Direct product of C12 and D1296C12xD12288,644
C3×C4⋊D12Direct product of C3 and C4⋊D1296C3xC4:D12288,645
C3×C427S3Direct product of C3 and C427S396C3xC4^2:7S3288,646
C3×C423S3Direct product of C3 and C423S396C3xC4^2:3S3288,647
C3×Dic6⋊C4Direct product of C3 and Dic6⋊C496C3xDic6:C4288,658
C3×C12⋊Q8Direct product of C3 and C12⋊Q896C3xC12:Q8288,659
C3×Dic3.Q8Direct product of C3 and Dic3.Q896C3xDic3.Q8288,660
C3×C4.Dic6Direct product of C3 and C4.Dic696C3xC4.Dic6288,661
C3×S3×C4⋊C4Direct product of C3, S3 and C4⋊C496C3xS3xC4:C4288,662
C3×C4⋊C47S3Direct product of C3 and C4⋊C47S396C3xC4:C4:7S3288,663
C3×Dic35D4Direct product of C3 and Dic35D496C3xDic3:5D4288,664
C3×D6.D4Direct product of C3 and D6.D496C3xD6.D4288,665
C3×C12⋊D4Direct product of C3 and C12⋊D496C3xC12:D4288,666
C3×D6⋊Q8Direct product of C3 and D6⋊Q896C3xD6:Q8288,667
C3×C4.D12Direct product of C3 and C4.D1296C3xC4.D12288,668
C3×C4⋊C4⋊S3Direct product of C3 and C4⋊C4⋊S396C3xC4:C4:S3288,669
S3×C2×C24Direct product of C2×C24 and S396S3xC2xC24288,670
C6×C8⋊S3Direct product of C6 and C8⋊S396C6xC8:S3288,671
C6×C24⋊C2Direct product of C6 and C24⋊C296C6xC24:C2288,673
C6×D24Direct product of C6 and D2496C6xD24288,674
C6×Dic12Direct product of C6 and Dic1296C6xDic12288,676
C3×S3×Q16Direct product of C3, S3 and Q16964C3xS3xQ16288,688
C3×Q16⋊S3Direct product of C3 and Q16⋊S3964C3xQ16:S3288,689
C3×D24⋊C2Direct product of C3 and D24⋊C2964C3xD24:C2288,690
C2×C6×C3⋊C8Direct product of C2×C6 and C3⋊C896C2xC6xC3:C8288,691
Dic3×C2×C12Direct product of C2×C12 and Dic396Dic3xC2xC12288,693
C6×Dic3⋊C4Direct product of C6 and Dic3⋊C496C6xDic3:C4288,694
C6×C4⋊Dic3Direct product of C6 and C4⋊Dic396C6xC4:Dic3288,696
C6×D6⋊C4Direct product of C6 and D6⋊C496C6xD6:C4288,698
C6×Q82S3Direct product of C6 and Q82S396C6xQ8:2S3288,712
C6×C3⋊Q16Direct product of C6 and C3⋊Q1696C6xC3:Q16288,714
C3×Dic3⋊Q8Direct product of C3 and Dic3⋊Q896C3xDic3:Q8288,715
C3×Q8×Dic3Direct product of C3, Q8 and Dic396C3xQ8xDic3288,716
C3×D63Q8Direct product of C3 and D63Q896C3xD6:3Q8288,717
C3×C12.23D4Direct product of C3 and C12.23D496C3xC12.23D4288,718
CSU2(𝔽3)⋊S31st semidirect product of CSU2(𝔽3) and S3 acting via S3/C3=C2964CSU(2,3):S3288,844
C2×C2.F9Direct product of C2 and C2.F996C2xC2.F9288,865
C2×C32⋊Q16Direct product of C2 and C32⋊Q1696C2xC3^2:Q16288,888
C6×CSU2(𝔽3)Direct product of C6 and CSU2(𝔽3)96C6xCSU(2,3)288,899
C3×C4.S4Direct product of C3 and C4.S4964C3xC4.S4288,902
C2×C6.5S4Direct product of C2 and C6.5S496C2xC6.5S4288,910
C12.6S46th non-split extension by C12 of S4 acting via S4/A4=C2964-C12.6S4288,913
C2×Dic3.A4Direct product of C2 and Dic3.A496C2xDic3.A4288,921
C22×C322C8Direct product of C22 and C322C896C2^2xC3^2:2C8288,939
C2×S3×Dic6Direct product of C2, S3 and Dic696C2xS3xDic6288,942
C2×D125S3Direct product of C2 and D125S396C2xD12:5S3288,943
C22×S3×Dic3Direct product of C22, S3 and Dic396C2^2xS3xDic3288,969
C22×D6⋊S3Direct product of C22 and D6⋊S396C2^2xD6:S3288,973
C22×C322Q8Direct product of C22 and C322Q896C2^2xC3^2:2Q8288,975
C2×C6×SL2(𝔽3)Direct product of C2×C6 and SL2(𝔽3)96C2xC6xSL(2,3)288,981
C6×C4.A4Direct product of C6 and C4.A496C6xC4.A4288,983
C2×C6×Dic6Direct product of C2×C6 and Dic696C2xC6xDic6288,988
S3×C22×C12Direct product of C22×C12 and S396S3xC2^2xC12288,989
C2×C6×D12Direct product of C2×C6 and D1296C2xC6xD12288,990
S3×C6×Q8Direct product of C6, S3 and Q896S3xC6xQ8288,995
C6×Q83S3Direct product of C6 and Q83S396C6xQ8:3S3288,996
Dic3×C22×C6Direct product of C22×C6 and Dic396Dic3xC2^2xC6288,1001
S3×C23×C6Direct product of C23×C6 and S396S3xC2^3xC6288,1043

Groups of order 480

dρLabelID
C22.2S51st central extension by C22 of S596C2^2.2S5480,219
C4×SL2(𝔽5)Direct product of C4 and SL2(𝔽5)96C4xSL(2,5)480,222
C2×CSU2(𝔽5)Direct product of C2 and CSU2(𝔽5)96C2xCSU(2,5)480,949
C22×SL2(𝔽5)Direct product of C22 and SL2(𝔽5)96C2^2xSL(2,5)480,960
C3×2- 1+4⋊C5Direct product of C3 and 2- 1+4⋊C5964C3xES-(2,2):C5480,1046

On 97 points

Groups of order 97

dρLabelID
C97Cyclic group971C9797,1

Groups of order 194

dρLabelID
D97Dihedral group972+D97194,1

Groups of order 291

dρLabelID
C97⋊C3The semidirect product of C97 and C3 acting faithfully973C97:C3291,1

Groups of order 388

dρLabelID
C97⋊C4The semidirect product of C97 and C4 acting faithfully974+C97:C4388,3

On 98 points

Groups of order 98

dρLabelID
C98Cyclic group981C9898,2
C7×C14Abelian group of type [7,14]98C7xC1498,5

Groups of order 196

dρLabelID
D98Dihedral group; = C2×D49982+D98196,3
C2×C7⋊D7Direct product of C2 and C7⋊D798C2xC7:D7196,11

Groups of order 294

dρLabelID
C2×C49⋊C3Direct product of C2 and C49⋊C3983C2xC49:C3294,2
C2×C72⋊C3Direct product of C2 and C72⋊C398C2xC7^2:C3294,16

Groups of order 392

dρLabelID
C7.F8The central extension by C7 of F8987C7.F8392,11

On 99 points

Groups of order 99

dρLabelID
C99Cyclic group991C9999,1
C3×C33Abelian group of type [3,33]99C3xC3399,2

Groups of order 198

dρLabelID
C11×D9Direct product of C11 and D9992C11xD9198,1
C9×D11Direct product of C9 and D11992C9xD11198,2
D99Dihedral group992+D99198,3
C32×D11Direct product of C32 and D1199C3^2xD11198,5
C11×C3⋊S3Direct product of C11 and C3⋊S399C11xC3:S3198,8
C3⋊D33The semidirect product of C3 and D33 acting via D33/C33=C299C3:D33198,9

Groups of order 297

dρLabelID
C11×He3Direct product of C11 and He3993C11xHe3297,3
C11×3- 1+2Direct product of C11 and 3- 1+2993C11xES-(3,1)297,4

Groups of order 396

dρLabelID
D9×D11Direct product of D9 and D11994+D9xD11396,5
C3⋊S3×D11Direct product of C3⋊S3 and D1199C3:S3xD11396,20

Groups of order 495

dρLabelID
C9×C11⋊C5Direct product of C9 and C11⋊C5995C9xC11:C5495,1
C32×C11⋊C5Direct product of C32 and C11⋊C599C3^2xC11:C5495,3

On 100 points

Groups of order 100

dρLabelID
Dic25Dicyclic group; = C252C41002-Dic25100,1
C100Cyclic group1001C100100,2
C2×C50Abelian group of type [2,50]100C2xC50100,5
C526C42nd semidirect product of C52 and C4 acting via C4/C2=C2100C5^2:6C4100,7
C5×C20Abelian group of type [5,20]100C5xC20100,8
C102Abelian group of type [10,10]100C10^2100,16

Groups of order 200

dρLabelID
C4×D25Direct product of C4 and D251002C4xD25200,5
D100Dihedral group1002+D100200,6
C25⋊D4The semidirect product of C25 and D4 acting via D4/C22=C21002C25:D4200,8
D4×C25Direct product of C25 and D41002D4xC25200,10
C22×D25Direct product of C22 and D25100C2^2xD25200,13
C4×C5⋊D5Direct product of C4 and C5⋊D5100C4xC5:D5200,33
C20⋊D51st semidirect product of C20 and D5 acting via D5/C5=C2100C20:D5200,34
C527D42nd semidirect product of C52 and D4 acting via D4/C22=C2100C5^2:7D4200,36
D4×C52Direct product of C52 and D4100D4xC5^2200,38
C22×C5⋊D5Direct product of C22 and C5⋊D5100C2^2xC5:D5200,51

Groups of order 300

dρLabelID
A4×C25Direct product of C25 and A41003A4xC25300,8
A4×C52Direct product of C52 and A4100A4xC5^2300,42

Groups of order 400

dρLabelID
C4×C25⋊C4Direct product of C4 and C25⋊C41004C4xC25:C4400,30
C100⋊C41st semidirect product of C100 and C4 acting faithfully1004C100:C4400,31
D25.D4The non-split extension by D25 of D4 acting via D4/C22=C21004+D25.D4400,34
D4×D25Direct product of D4 and D251004+D4xD25400,39
C22×C25⋊C4Direct product of C22 and C25⋊C4100C2^2xC25:C4400,53
C4×C5⋊F5Direct product of C4 and C5⋊F5100C4xC5:F5400,151
C20⋊F51st semidirect product of C20 and F5 acting via F5/C5=C4100C20:F5400,152
C102⋊C43rd semidirect product of C102 and C4 acting faithfully100C10^2:C4400,155
D4×C5⋊D5Direct product of D4 and C5⋊D5100D4xC5:D5400,195
C22×C5⋊F5Direct product of C22 and C5⋊F5100C2^2xC5:F5400,216

Groups of order 500

dρLabelID
C5×Dic25Direct product of C5 and Dic251002C5xDic25500,6
Dic5×C25Direct product of C25 and Dic51002Dic5xC25500,7
He55C41st semidirect product of He5 and C4 acting via C4/C2=C210010-He5:5C4500,8
C50.C10The non-split extension by C50 of C10 acting faithfully10010-C50.C10500,9
He56C42nd semidirect product of He5 and C4 acting via C4/C2=C21005He5:6C4500,11
C4×He5Direct product of C4 and He51005C4xHe5500,13
C4×5- 1+2Direct product of C4 and 5- 1+21005C4xES-(5,1)500,14
F5×C25Direct product of C25 and F51004F5xC25500,15
C5×C25⋊C4Direct product of C5 and C25⋊C41004C5xC25:C4500,16
D5.D25The non-split extension by D5 of D25 acting via D25/C25=C21004D5.D25500,19
D25.D5The non-split extension by D25 of D5 acting via D5/C5=C21004D25.D5500,20
C10×D25Direct product of C10 and D251002C10xD25500,28
D5×C50Direct product of C50 and D51002D5xC50500,29
C22×He5Direct product of C22 and He5100C2^2xHe5500,35
C22×5- 1+2Direct product of C22 and 5- 1+2100C2^2xES-(5,1)500,36
Dic5×C52Direct product of C52 and Dic5100Dic5xC5^2500,37
C5×C526C4Direct product of C5 and C526C4100C5xC5^2:6C4500,38
F5×C52Direct product of C52 and F5100F5xC5^2500,41
C5×C5⋊F5Direct product of C5 and C5⋊F5100C5xC5:F5500,43
C53⋊C45th semidirect product of C53 and C4 acting faithfully100C5^3:C4500,45
C537C47th semidirect product of C53 and C4 acting faithfully100C5^3:7C4500,47
D5×C5×C10Direct product of C5×C10 and D5100D5xC5xC10500,53
C10×C5⋊D5Direct product of C10 and C5⋊D5100C10xC5:D5500,54

On 101 points

Groups of order 101

dρLabelID
C101Cyclic group1011C101101,1

Groups of order 202

dρLabelID
D101Dihedral group1012+D101202,1

Groups of order 404

dρLabelID
C101⋊C4The semidirect product of C101 and C4 acting faithfully1014+C101:C4404,3

On 102 points

Groups of order 102

dρLabelID
C102Cyclic group1021C102102,4

Groups of order 204

dρLabelID
C6×D17Direct product of C6 and D171022C6xD17204,9
S3×C34Direct product of C34 and S31022S3xC34204,10
D102Dihedral group; = C2×D511022+D102204,11

Groups of order 306

dρLabelID
S3×C51Direct product of C51 and S31022S3xC51306,6
C3×D51Direct product of C3 and D511022C3xD51306,7

Groups of order 408

dρLabelID
C6×C17⋊C4Direct product of C6 and C17⋊C41024C6xC17:C4408,39
C2×C51⋊C4Direct product of C2 and C51⋊C41024C2xC51:C4408,40
C2×S3×D17Direct product of C2, S3 and D171024+C2xS3xD17408,41
A4×C34Direct product of C34 and A41023A4xC34408,42

On 103 points

Groups of order 103

dρLabelID
C103Cyclic group1031C103103,1

Groups of order 206

dρLabelID
D103Dihedral group1032+D103206,1

Groups of order 309

dρLabelID
C103⋊C3The semidirect product of C103 and C3 acting faithfully1033C103:C3309,1

On 104 points

Groups of order 104

dρLabelID
C132C8The semidirect product of C13 and C8 acting via C8/C4=C21042C13:2C8104,1
C104Cyclic group1041C104104,2
C13⋊C8The semidirect product of C13 and C8 acting via C8/C2=C41044-C13:C8104,3
Dic26Dicyclic group; = C13Q81042-Dic26104,4
C2×Dic13Direct product of C2 and Dic13104C2xDic13104,7
C2×C52Abelian group of type [2,52]104C2xC52104,9
Q8×C13Direct product of C13 and Q81042Q8xC13104,11
C22×C26Abelian group of type [2,2,26]104C2^2xC26104,14

Groups of order 208

dρLabelID
C8×D13Direct product of C8 and D131042C8xD13208,4
C8⋊D133rd semidirect product of C8 and D13 acting via D13/C13=C21042C8:D13208,5
C104⋊C22nd semidirect product of C104 and C2 acting faithfully1042C104:C2208,6
D104Dihedral group1042+D104208,7
C52.4C41st non-split extension by C52 of C4 acting via C4/C2=C21042C52.4C4208,10
D26⋊C41st semidirect product of D26 and C4 acting via C4/C2=C2104D26:C4208,14
D4⋊D13The semidirect product of D4 and D13 acting via D13/C13=C21044+D4:D13208,15
D4.D13The non-split extension by D4 of D13 acting via D13/C13=C21044-D4.D13208,16
Q8⋊D13The semidirect product of Q8 and D13 acting via D13/C13=C21044+Q8:D13208,17
C23.D13The non-split extension by C23 of D13 acting via D13/C13=C2104C2^3.D13208,19
C13×C22⋊C4Direct product of C13 and C22⋊C4104C13xC2^2:C4208,21
C13×M4(2)Direct product of C13 and M4(2)1042C13xM4(2)208,24
C13×D8Direct product of C13 and D81042C13xD8208,25
C13×SD16Direct product of C13 and SD161042C13xSD16208,26
D13⋊C8The semidirect product of D13 and C8 acting via C8/C4=C21044D13:C8208,28
C52.C41st non-split extension by C52 of C4 acting faithfully1044C52.C4208,29
C13⋊M4(2)The semidirect product of C13 and M4(2) acting via M4(2)/C22=C41044-C13:M4(2)208,33
C2×C4×D13Direct product of C2×C4 and D13104C2xC4xD13208,36
C2×D52Direct product of C2 and D52104C2xD52208,37
D525C2The semidirect product of D52 and C2 acting through Inn(D52)1042D52:5C2208,38
D42D13The semidirect product of D4 and D13 acting through Inn(D4)1044-D4:2D13208,40
Q8×D13Direct product of Q8 and D131044-Q8xD13208,41
D52⋊C24th semidirect product of D52 and C2 acting faithfully1044+D52:C2208,42
C2×C13⋊D4Direct product of C2 and C13⋊D4104C2xC13:D4208,44
D4×C26Direct product of C26 and D4104D4xC26208,46
C13×C4○D4Direct product of C13 and C4○D41042C13xC4oD4208,48
C23×D13Direct product of C23 and D13104C2^3xD13208,50

Groups of order 312

dρLabelID
C132C24The semidirect product of C13 and C24 acting via C24/C4=C61046C13:2C24312,1
C8×C13⋊C3Direct product of C8 and C13⋊C31043C8xC13:C3312,2
C13⋊C24The semidirect product of C13 and C24 acting via C24/C2=C1210412-C13:C24312,7
Dic26⋊C3The semidirect product of Dic26 and C3 acting faithfully1046-Dic26:C3312,8
C2×C26.C6Direct product of C2 and C26.C6104C2xC26.C6312,11
C2×C4×C13⋊C3Direct product of C2×C4 and C13⋊C3104C2xC4xC13:C3312,22
Q8×C13⋊C3Direct product of Q8 and C13⋊C31046Q8xC13:C3312,24
C13×SL2(𝔽3)Direct product of C13 and SL2(𝔽3)1042C13xSL(2,3)312,25
C26.A4The non-split extension by C26 of A4 acting via A4/C22=C31046C26.A4312,26
C23×C13⋊C3Direct product of C23 and C13⋊C3104C2^3xC13:C3312,55

Groups of order 416

dρLabelID
D524C41st semidirect product of D52 and C4 acting via C4/C2=C21042D52:4C4416,12
C22.2D521st non-split extension by C22 of D52 acting via D52/D26=C21044C2^2.2D52416,13
C52.46D43rd non-split extension by C52 of D4 acting via D4/C22=C21044+C52.46D4416,30
D527C44th semidirect product of D52 and C4 acting via C4/C2=C21044D52:7C4416,32
C52.D48th non-split extension by C52 of D4 acting via D4/C2=C221044C52.D4416,40
C23⋊Dic13The semidirect product of C23 and Dic13 acting via Dic13/C13=C41044C2^3:Dic13416,41
C52.56D413rd non-split extension by C52 of D4 acting via D4/C22=C21044C52.56D4416,44
C13×C23⋊C4Direct product of C13 and C23⋊C41044C13xC2^3:C4416,49
C13×C4.D4Direct product of C13 and C4.D41044C13xC4.D4416,50
C13×C4≀C2Direct product of C13 and C4≀C21042C13xC4wrC2416,54
C8×C13⋊C4Direct product of C8 and C13⋊C41044C8xC13:C4416,66
C104⋊C44th semidirect product of C104 and C4 acting faithfully1044C104:C4416,67
D26.8D44th non-split extension by D26 of D4 acting via D4/C4=C21044D26.8D4416,68
D13.D8The non-split extension by D13 of D8 acting via D8/C8=C21044D13.D8416,69
D26.D41st non-split extension by D26 of D4 acting via D4/C2=C221044+D26.D4416,74
D26.Q83rd non-split extension by D26 of Q8 acting via Q8/C4=C2104D26.Q8416,81
D521C41st semidirect product of D52 and C4 acting faithfully1048+D52:1C4416,82
Dic26⋊C41st semidirect product of Dic26 and C4 acting faithfully1048-Dic26:C4416,83
D13.Q16The non-split extension by D13 of Q16 acting via Q16/Q8=C21048-D13.Q16416,84
D52⋊C42nd semidirect product of D52 and C4 acting faithfully1048+D52:C4416,85
D26.4D44th non-split extension by D26 of D4 acting via D4/C2=C221044D26.4D4416,86
Dic13.4D44th non-split extension by Dic13 of D4 acting via D4/C2=C221044Dic13.4D4416,88
C22⋊C4×D13Direct product of C22⋊C4 and D13104C2^2:C4xD13416,101
C22⋊D52The semidirect product of C22 and D52 acting via D52/D26=C2104C2^2:D52416,103
M4(2)×D13Direct product of M4(2) and D131044M4(2)xD13416,127
C8⋊D261st semidirect product of C8 and D26 acting via D26/C13=C221044+C8:D26416,129
D8×D13Direct product of D8 and D131044+D8xD13416,131
D8⋊D132nd semidirect product of D8 and D13 acting via D13/C13=C21044D8:D13416,132
SD16×D13Direct product of SD16 and D131044SD16xD13416,134
Q8⋊D262nd semidirect product of Q8 and D26 acting via D26/D13=C21044+Q8:D26416,135
D526C224th semidirect product of D52 and C22 acting via C22/C2=C21044D52:6C2^2416,153
C23⋊D261st semidirect product of C23 and D26 acting via D26/C13=C22104C2^3:D26416,158
D4⋊D262nd semidirect product of D4 and D26 acting via D26/C26=C21044+D4:D26416,170
C24⋊D131st semidirect product of C24 and D13 acting via D13/C13=C2104C2^4:D13416,174
C13×C22≀C2Direct product of C13 and C22≀C2104C13xC2^2wrC2416,181
C13×C8⋊C22Direct product of C13 and C8⋊C221044C13xC8:C2^2416,197
D13⋊M4(2)The semidirect product of D13 and M4(2) acting via M4(2)/C2×C4=C21044D13:M4(2)416,201
C2×C4×C13⋊C4Direct product of C2×C4 and C13⋊C4104C2xC4xC13:C4416,202
C2×C52⋊C4Direct product of C2 and C52⋊C4104C2xC52:C4416,203
D26.C2311st non-split extension by D26 of C23 acting via C23/C22=C21044D26.C2^3416,204
Q8×C13⋊C4Direct product of Q8 and C13⋊C41048-Q8xC13:C4416,208
C2×D13.D4Direct product of C2 and D13.D4104C2xD13.D4416,211
C2×D4×D13Direct product of C2, D4 and D13104C2xD4xD13416,216
D46D262nd semidirect product of D4 and D26 acting through Inn(D4)1044D4:6D26416,218
C4○D4×D13Direct product of C4○D4 and D131044C4oD4xD13416,222
D48D264th semidirect product of D4 and D26 acting through Inn(D4)1044+D4:8D26416,223
C13×2+ 1+4Direct product of C13 and 2+ 1+41044C13xES+(2,2)416,231
C23×C13⋊C4Direct product of C23 and C13⋊C4104C2^3xC13:C4416,233

On 105 points

Groups of order 105

dρLabelID
C105Cyclic group1051C105105,2

Groups of order 210

dρLabelID
D7×C15Direct product of C15 and D71052D7xC15210,5
D5×C21Direct product of C21 and D51052D5xC21210,6
C3×D35Direct product of C3 and D351052C3xD35210,7
S3×C35Direct product of C35 and S31052S3xC35210,8
C5×D21Direct product of C5 and D211052C5xD21210,9
C7×D15Direct product of C7 and D151052C7xD15210,10
D105Dihedral group1052+D105210,11

Groups of order 315

dρLabelID
C15×C7⋊C3Direct product of C15 and C7⋊C31053C15xC7:C3315,3

Groups of order 420

dρLabelID
F5×C21Direct product of C21 and F51054F5xC21420,20
C3×C7⋊F5Direct product of C3 and C7⋊F51054C3xC7:F5420,21
C7×C3⋊F5Direct product of C7 and C3⋊F51054C7xC3:F5420,22
C5⋊Dic21The semidirect product of C5 and Dic21 acting via Dic21/C21=C41054C5:Dic21420,23
C3×D5×D7Direct product of C3, D5 and D71054C3xD5xD7420,24
C5×S3×D7Direct product of C5, S3 and D71054C5xS3xD7420,25
D7×D15Direct product of D7 and D151054+D7xD15420,26
S3×C7×D5Direct product of C7, S3 and D51054S3xC7xD5420,27
D5×D21Direct product of D5 and D211054+D5xD21420,28
S3×D35Direct product of S3 and D351054+S3xD35420,29
D15⋊D7The semidirect product of D15 and D7 acting via D7/C7=C21054D15:D7420,30

On 106 points

Groups of order 106

dρLabelID
C106Cyclic group1061C106106,2

Groups of order 212

dρLabelID
D106Dihedral group; = C2×D531062+D106212,4

Groups of order 424

dρLabelID
C2×C53⋊C4Direct product of C2 and C53⋊C41064+C2xC53:C4424,12

On 107 points

Groups of order 107

dρLabelID
C107Cyclic group1071C107107,1

Groups of order 214

dρLabelID
D107Dihedral group1072+D107214,1

On 108 points

Groups of order 108

dρLabelID
Dic27Dicyclic group; = C27C41082-Dic27108,1
C108Cyclic group1081C108108,2
C2×C54Abelian group of type [2,54]108C2xC54108,5
C9⋊Dic3The semidirect product of C9 and Dic3 acting via Dic3/C6=C2108C9:Dic3108,10
C3×C36Abelian group of type [3,36]108C3xC36108,12
C6×C18Abelian group of type [6,18]108C6xC18108,29
C335C43rd semidirect product of C33 and C4 acting via C4/C2=C2108C3^3:5C4108,34
C32×C12Abelian group of type [3,3,12]108C3^2xC12108,35
C3×C62Abelian group of type [3,6,6]108C3xC6^2108,45

Groups of order 216

dρLabelID
C4×D27Direct product of C4 and D271082C4xD27216,5
D108Dihedral group1082+D108216,6
C27⋊D4The semidirect product of C27 and D4 acting via D4/C22=C21082C27:D4216,8
D4×C27Direct product of C27 and D41082D4xC27216,10
C22×D27Direct product of C22 and D27108C2^2xD27216,23
C4×C9⋊S3Direct product of C4 and C9⋊S3108C4xC9:S3216,64
C36⋊S31st semidirect product of C36 and S3 acting via S3/C3=C2108C36:S3216,65
C6.D1811st non-split extension by C6 of D18 acting via D18/C18=C2108C6.D18216,70
D4×C3×C9Direct product of C3×C9 and D4108D4xC3xC9216,76
C22×C9⋊S3Direct product of C22 and C9⋊S3108C2^2xC9:S3216,112
C4×C33⋊C2Direct product of C4 and C33⋊C2108C4xC3^3:C2216,146
C3312D43rd semidirect product of C33 and D4 acting via D4/C4=C2108C3^3:12D4216,147
C3315D43rd semidirect product of C33 and D4 acting via D4/C22=C2108C3^3:15D4216,149
D4×C33Direct product of C33 and D4108D4xC3^3216,151
C22×C33⋊C2Direct product of C22 and C33⋊C2108C2^2xC3^3:C2216,176

Groups of order 324

dρLabelID
C32⋊Dic91st semidirect product of C32 and Dic9 acting via Dic9/C6=S3108C3^2:Dic9324,8
C3×Dic27Direct product of C3 and Dic271082C3xDic27324,10
Dic3×C27Direct product of C27 and Dic31082Dic3xC27324,11
C27⋊C12The semidirect product of C27 and C12 acting via C12/C2=C61086-C27:C12324,12
He3.C121st non-split extension by He3 of C12 acting via C12/C2=C61083He3.C12324,15
He3.Dic31st non-split extension by He3 of Dic3 acting via Dic3/C2=S31086-He3.Dic3324,16
He3.2C122nd non-split extension by He3 of C12 acting via C12/C2=C61083He3.2C12324,17
He3.2Dic32nd non-split extension by He3 of Dic3 acting via Dic3/C2=S31086-He3.2Dic3324,18
He3.3Dic33rd non-split extension by He3 of Dic3 acting via Dic3/C2=S31086-He3.3Dic3324,23
He3⋊Dic33rd semidirect product of He3 and Dic3 acting via Dic3/C2=S31086-He3:Dic3324,24
3- 1+2.Dic3The non-split extension by 3- 1+2 of Dic3 acting via Dic3/C2=S31086-ES-(3,1).Dic3324,25
C4×C32⋊C9Direct product of C4 and C32⋊C9108C4xC3^2:C9324,27
C4×C27⋊C3Direct product of C4 and C27⋊C31083C4xC27:C3324,30
C4×He3.C3Direct product of C4 and He3.C31083C4xHe3.C3324,32
C4×He3⋊C3Direct product of C4 and He3⋊C31083C4xHe3:C3324,33
C4×C3.He3Direct product of C4 and C3.He31083C4xC3.He3324,34
A4×C27Direct product of C27 and A41083A4xC27324,42
C27⋊A4The semidirect product of C27 and A4 acting via A4/C22=C31083C27:A4324,43
C62.16C327th non-split extension by C62 of C32 acting via C32/C3=C3108C6^2.16C3^2324,52
C6×D27Direct product of C6 and D271082C6xD27324,65
S3×C54Direct product of C54 and S31082S3xC54324,66
C22×C32⋊C9Direct product of C22 and C32⋊C9108C2^2xC3^2:C9324,82
C22×C27⋊C3Direct product of C22 and C27⋊C3108C2^2xC27:C3324,85
C22×He3.C3Direct product of C22 and He3.C3108C2^2xHe3.C3324,87
C22×He3⋊C3Direct product of C22 and He3⋊C3108C2^2xHe3:C3324,88
C22×C3.He3Direct product of C22 and C3.He3108C2^2xC3.He3324,89
C32×Dic9Direct product of C32 and Dic9108C3^2xDic9324,90
Dic3×C3×C9Direct product of C3×C9 and Dic3108Dic3xC3xC9324,91
C3×C9⋊Dic3Direct product of C3 and C9⋊Dic3108C3xC9:Dic3324,96
C9×C3⋊Dic3Direct product of C9 and C3⋊Dic3108C9xC3:Dic3324,97
C334C124th semidirect product of C33 and C12 acting via C12/C2=C6108C3^3:4C12324,98
C3×He33C4Direct product of C3 and He33C4108C3xHe3:3C4324,99
C33.Dic34th non-split extension by C33 of Dic3 acting via Dic3/C2=S3108C3^3.Dic3324,100
He3.4Dic3The non-split extension by He3 of Dic3 acting via Dic3/C6=C21086-He3.4Dic3324,101
He3.5C12The non-split extension by He3 of C12 acting via C12/C6=C21083He3.5C12324,102
C12×He3Direct product of C12 and He3108C12xHe3324,106
C12×3- 1+2Direct product of C12 and 3- 1+2108C12xES-(3,1)324,107
C4×C9○He3Direct product of C4 and C9○He31083C4xC9oHe3324,108
A4×C3×C9Direct product of C3×C9 and A4108A4xC3xC9324,126
C3×C9⋊A4Direct product of C3 and C9⋊A4108C3xC9:A4324,127
D9×C3×C6Direct product of C3×C6 and D9108D9xC3xC6324,136
S3×C3×C18Direct product of C3×C18 and S3108S3xC3xC18324,137
C6×C9⋊S3Direct product of C6 and C9⋊S3108C6xC9:S3324,142
C18×C3⋊S3Direct product of C18 and C3⋊S3108C18xC3:S3324,143
C2×C6×He3Direct product of C2×C6 and He3108C2xC6xHe3324,152
C2×C6×3- 1+2Direct product of C2×C6 and 3- 1+2108C2xC6xES-(3,1)324,153
C22×C9○He3Direct product of C22 and C9○He3108C2^2xC9oHe3324,154
Dic3×C33Direct product of C33 and Dic3108Dic3xC3^3324,155
C3×C335C4Direct product of C3 and C335C4108C3xC3^3:5C4324,157
A4×C33Direct product of C33 and A4108A4xC3^3324,171
S3×C32×C6Direct product of C32×C6 and S3108S3xC3^2xC6324,172
C6×C33⋊C2Direct product of C6 and C33⋊C2108C6xC3^3:C2324,174

Groups of order 432

dρLabelID
C42⋊C27The semidirect product of C42 and C27 acting via C27/C9=C31083C4^2:C27432,3
C18.S43rd non-split extension by C18 of S4 acting via S4/A4=C21086-C18.S4432,39
C4×C9.A4Direct product of C4 and C9.A41083C4xC9.A4432,40
D4×D27Direct product of D4 and D271084+D4xD27432,47
C9×C42⋊C3Direct product of C9 and C42⋊C31083C9xC4^2:C3432,99
C42⋊3- 1+2The semidirect product of C42 and 3- 1+2 acting via 3- 1+2/C9=C31083C4^2:ES-(3,1)432,100
C3×C42⋊C9Direct product of C3 and C42⋊C9108C3xC4^2:C9432,101
C22×C9.A4Direct product of C22 and C9.A4108C2^2xC9.A4432,225
C24⋊C272nd semidirect product of C24 and C27 acting via C27/C9=C3108C2^4:C27432,226
C9×A4⋊C4Direct product of C9 and A4⋊C41083C9xA4:C4432,242
A4⋊Dic9The semidirect product of A4 and Dic9 acting via Dic9/C18=C21086-A4:Dic9432,254
C62.10Dic310th non-split extension by C62 of Dic3 acting via Dic3/C2=S3108C6^2.10Dic3432,259
Dic9⋊A4The semidirect product of Dic9 and A4 acting via A4/C22=C31086-Dic9:A4432,265
A4×Dic9Direct product of A4 and Dic91086-A4xDic9432,266
A4×C36Direct product of C36 and A41083A4xC36432,325
C4×C9⋊A4Direct product of C4 and C9⋊A41083C4xC9:A4432,326
C12×C3.A4Direct product of C12 and C3.A4108C12xC3.A4432,331
D4×C9⋊S3Direct product of D4 and C9⋊S3108D4xC9:S3432,388
C32×C42⋊C3Direct product of C32 and C42⋊C3108C3^2xC4^2:C3432,463
A4×C2×C18Direct product of C2×C18 and A4108A4xC2xC18432,546
C22×C9⋊A4Direct product of C22 and C9⋊A4108C2^2xC9:A4432,547
C2×C6×C3.A4Direct product of C2×C6 and C3.A4108C2xC6xC3.A4432,548
C9×C22⋊A4Direct product of C9 and C22⋊A4108C9xC2^2:A4432,551
C2443- 1+22nd semidirect product of C24 and 3- 1+2 acting via 3- 1+2/C9=C3108C2^4:4ES-(3,1)432,552
C3×C24⋊C9Direct product of C3 and C24⋊C9108C3xC2^4:C9432,553
C32×A4⋊C4Direct product of C32 and A4⋊C4108C3^2xA4:C4432,615
C6210Dic39th semidirect product of C62 and Dic3 acting via Dic3/C2=S3108C6^2:10Dic3432,621
A4×C3⋊Dic3Direct product of A4 and C3⋊Dic3108A4xC3:Dic3432,627
A4×C3×C12Direct product of C3×C12 and A4108A4xC3xC12432,697
D4×C33⋊C2Direct product of D4 and C33⋊C2108D4xC3^3:C2432,724
A4×C62Direct product of C62 and A4108A4xC6^2432,770
C32×C22⋊A4Direct product of C32 and C22⋊A4108C3^2xC2^2:A4432,771

On 109 points

Groups of order 109

dρLabelID
C109Cyclic group1091C109109,1

Groups of order 218

dρLabelID
D109Dihedral group1092+D109218,1

Groups of order 327

dρLabelID
C109⋊C3The semidirect product of C109 and C3 acting faithfully1093C109:C3327,1

Groups of order 436

dρLabelID
C109⋊C4The semidirect product of C109 and C4 acting faithfully1094+C109:C4436,3

On 110 points

Groups of order 110

dρLabelID
C110Cyclic group1101C110110,6

Groups of order 220

dρLabelID
C10×D11Direct product of C10 and D111102C10xD11220,12
D5×C22Direct product of C22 and D51102D5xC22220,13
D110Dihedral group; = C2×D551102+D110220,14

Groups of order 440

dρLabelID
F5×C22Direct product of C22 and F51104F5xC22440,45
C2×C11⋊F5Direct product of C2 and C11⋊F51104C2xC11:F5440,46
C2×D5×D11Direct product of C2, D5 and D111104+C2xD5xD11440,47

On 111 points

Groups of order 111

dρLabelID
C111Cyclic group1111C111111,2

Groups of order 222

dρLabelID
S3×C37Direct product of C37 and S31112S3xC37222,3
C3×D37Direct product of C3 and D371112C3xD37222,4
D111Dihedral group1112+D111222,5

Groups of order 333

dρLabelID
C3×C37⋊C3Direct product of C3 and C37⋊C31113C3xC37:C3333,4

Groups of order 444

dρLabelID
C3×C37⋊C4Direct product of C3 and C37⋊C41114C3xC37:C4444,9
C37⋊Dic3The semidirect product of C37 and Dic3 acting via Dic3/C3=C41114C37:Dic3444,10
S3×D37Direct product of S3 and D371114+S3xD37444,11

On 112 points

Groups of order 112

dρLabelID
C7⋊C16The semidirect product of C7 and C16 acting via C16/C8=C21122C7:C16112,1
C112Cyclic group1121C112112,2
Dic28Dicyclic group; = C71Q161122-Dic28112,7
C2×C7⋊C8Direct product of C2 and C7⋊C8112C2xC7:C8112,8
C4×Dic7Direct product of C4 and Dic7112C4xDic7112,10
Dic7⋊C4The semidirect product of Dic7 and C4 acting via C4/C2=C2112Dic7:C4112,11
C4⋊Dic7The semidirect product of C4 and Dic7 acting via Dic7/C14=C2112C4:Dic7112,12
C7⋊Q16The semidirect product of C7 and Q16 acting via Q16/Q8=C21124-C7:Q16112,17
C4×C28Abelian group of type [4,28]112C4xC28112,19
C7×C4⋊C4Direct product of C7 and C4⋊C4112C7xC4:C4112,21
C2×C56Abelian group of type [2,56]112C2xC56112,22
C7×Q16Direct product of C7 and Q161122C7xQ16112,26
C2×Dic14Direct product of C2 and Dic14112C2xDic14112,27
C22×Dic7Direct product of C22 and Dic7112C2^2xDic7112,35
C22×C28Abelian group of type [2,2,28]112C2^2xC28112,37
Q8×C14Direct product of C14 and Q8112Q8xC14112,39
C23×C14Abelian group of type [2,2,2,14]112C2^3xC14112,43

Groups of order 224

dρLabelID
D7×C16Direct product of C16 and D71122D7xC16224,3
C16⋊D73rd semidirect product of C16 and D7 acting via D7/C7=C21122C16:D7224,4
D112Dihedral group1122+D112224,5
C112⋊C22nd semidirect product of C112 and C2 acting faithfully1122C112:C2224,6
C14.D82nd non-split extension by C14 of D8 acting via D8/D4=C2112C14.D8224,15
C28.C81st non-split extension by C28 of C8 acting via C8/C4=C21122C28.C8224,18
C56.C41st non-split extension by C56 of C4 acting via C4/C2=C21122C56.C4224,25
D14⋊C8The semidirect product of D14 and C8 acting via C8/C4=C2112D14:C8224,26
C2.D562nd central extension by C2 of D56112C2.D56224,27
C28.53D410th non-split extension by C28 of D4 acting via D4/C22=C21124C28.53D4224,28
C4.12D284th non-split extension by C4 of D28 acting via D28/D14=C21124-C4.12D28224,30
C7⋊D16The semidirect product of C7 and D16 acting via D16/D8=C21124+C7:D16224,32
D8.D7The non-split extension by D8 of D7 acting via D7/C7=C21124-D8.D7224,33
C7⋊SD32The semidirect product of C7 and SD32 acting via SD32/Q16=C21124+C7:SD32224,34
C28.55D412nd non-split extension by C28 of D4 acting via D4/C22=C2112C28.55D4224,36
D4⋊Dic71st semidirect product of D4 and Dic7 acting via Dic7/C14=C2112D4:Dic7224,38
C28.10D410th non-split extension by C28 of D4 acting via D4/C2=C221124C28.10D4224,42
C7×C22⋊C8Direct product of C7 and C22⋊C8112C7xC2^2:C8224,47
C7×C4.10D4Direct product of C7 and C4.10D41124C7xC4.10D4224,50
C7×D4⋊C4Direct product of C7 and D4⋊C4112C7xD4:C4224,51
C7×C8.C4Direct product of C7 and C8.C41122C7xC8.C4224,57
C7×M5(2)Direct product of C7 and M5(2)1122C7xM5(2)224,59
C7×D16Direct product of C7 and D161122C7xD16224,60
C7×SD32Direct product of C7 and SD321122C7xSD32224,61
D7×C42Direct product of C42 and D7112D7xC4^2224,66
C42⋊D71st semidirect product of C42 and D7 acting via D7/C7=C2112C4^2:D7224,67
C4×D28Direct product of C4 and D28112C4xD28224,68
C284D41st semidirect product of C28 and D4 acting via D4/C4=C2112C28:4D4224,69
C4.D285th non-split extension by C4 of D28 acting via D28/C28=C2112C4.D28224,70
C422D72nd semidirect product of C42 and D7 acting via D7/C7=C2112C4^2:2D7224,71
C23.11D141st non-split extension by C23 of D14 acting via D14/D7=C2112C2^3.11D14224,72
C22⋊Dic14The semidirect product of C22 and Dic14 acting via Dic14/Dic7=C2112C2^2:Dic14224,73
C23.D143rd non-split extension by C23 of D14 acting via D14/C7=C22112C2^3.D14224,74
Dic74D41st semidirect product of Dic7 and D4 acting through Inn(Dic7)112Dic7:4D4224,76
D14.D41st non-split extension by D14 of D4 acting via D4/C22=C2112D14.D4224,78
D14⋊D41st semidirect product of D14 and D4 acting via D4/C4=C2112D14:D4224,79
Dic7.D41st non-split extension by Dic7 of D4 acting via D4/C4=C2112Dic7.D4224,80
C22.D283rd non-split extension by C22 of D28 acting via D28/D14=C2112C2^2.D28224,81
D7×C4⋊C4Direct product of D7 and C4⋊C4112D7xC4:C4224,86
C4⋊C47D71st semidirect product of C4⋊C4 and D7 acting through Inn(C4⋊C4)112C4:C4:7D7224,87
D28⋊C45th semidirect product of D28 and C4 acting via C4/C2=C2112D28:C4224,88
D14.5D42nd non-split extension by D14 of D4 acting via D4/C22=C2112D14.5D4224,89
C4⋊D28The semidirect product of C4 and D28 acting via D28/D14=C2112C4:D28224,90
D14⋊Q81st semidirect product of D14 and Q8 acting via Q8/C4=C2112D14:Q8224,91
D142Q82nd semidirect product of D14 and Q8 acting via Q8/C4=C2112D14:2Q8224,92
C4⋊C4⋊D76th semidirect product of C4⋊C4 and D7 acting via D7/C7=C2112C4:C4:D7224,93
D7×C2×C8Direct product of C2×C8 and D7112D7xC2xC8224,94
C2×C8⋊D7Direct product of C2 and C8⋊D7112C2xC8:D7224,95
D28.2C4The non-split extension by D28 of C4 acting through Inn(D28)1122D28.2C4224,96
C2×C56⋊C2Direct product of C2 and C56⋊C2112C2xC56:C2224,97
C2×D56Direct product of C2 and D56112C2xD56224,98
D567C2The semidirect product of D56 and C2 acting through Inn(D56)1122D56:7C2224,99
D28.C4The non-split extension by D28 of C4 acting via C4/C2=C21124D28.C4224,102
C8.D141st non-split extension by C8 of D14 acting via D14/C7=C221124-C8.D14224,104
D83D7The semidirect product of D8 and D7 acting through Inn(D8)1124-D8:3D7224,107
SD16⋊D72nd semidirect product of SD16 and D7 acting via D7/C7=C21124-SD16:D7224,110
SD163D7The semidirect product of SD16 and D7 acting through Inn(SD16)1124SD16:3D7224,111
D7×Q16Direct product of D7 and Q161124-D7xQ16224,112
Q16⋊D72nd semidirect product of Q16 and D7 acting via D7/C7=C21124Q16:D7224,113
Q8.D145th non-split extension by Q8 of D14 acting via D14/D7=C21124+Q8.D14224,114
C2×C4.Dic7Direct product of C2 and C4.Dic7112C2xC4.Dic7224,116
C28.48D45th non-split extension by C28 of D4 acting via D4/C22=C2112C28.48D4224,119
C23.21D142nd non-split extension by C23 of D14 acting via D14/C14=C2112C2^3.21D14224,121
C2×D14⋊C4Direct product of C2 and D14⋊C4112C2xD14:C4224,122
C4×C7⋊D4Direct product of C4 and C7⋊D4112C4xC7:D4224,123
C23.23D144th non-split extension by C23 of D14 acting via D14/C14=C2112C2^3.23D14224,124
C287D41st semidirect product of C28 and D4 acting via D4/C22=C2112C28:7D4224,125
C2×D4⋊D7Direct product of C2 and D4⋊D7112C2xD4:D7224,126
C2×D4.D7Direct product of C2 and D4.D7112C2xD4.D7224,128
D4×Dic7Direct product of D4 and Dic7112D4xDic7224,129
C23.18D148th non-split extension by C23 of D14 acting via D14/D7=C2112C2^3.18D14224,130
C28.17D417th non-split extension by C28 of D4 acting via D4/C2=C22112C28.17D4224,131
C282D42nd semidirect product of C28 and D4 acting via D4/C2=C22112C28:2D4224,133
Dic7⋊D42nd semidirect product of Dic7 and D4 acting via D4/C22=C2112Dic7:D4224,134
C28⋊D43rd semidirect product of C28 and D4 acting via D4/C2=C22112C28:D4224,135
C2×Q8⋊D7Direct product of C2 and Q8⋊D7112C2xQ8:D7224,136
C28.C2315th non-split extension by C28 of C23 acting via C23/C2=C221124C28.C2^3224,137
D143Q83rd semidirect product of D14 and Q8 acting via Q8/C4=C2112D14:3Q8224,141
C28.23D423rd non-split extension by C28 of D4 acting via D4/C2=C22112C28.23D4224,142
Q8.Dic7The non-split extension by Q8 of Dic7 acting through Inn(Q8)1124Q8.Dic7224,143
D4.8D143rd non-split extension by D4 of D14 acting via D14/C14=C21124D4.8D14224,145
D4.9D144th non-split extension by D4 of D14 acting via D14/C14=C21124-D4.9D14224,146
C2×C23.D7Direct product of C2 and C23.D7112C2xC2^3.D7224,147
C14×C22⋊C4Direct product of C14 and C22⋊C4112C14xC2^2:C4224,150
C7×C42⋊C2Direct product of C7 and C42⋊C2112C7xC4^2:C2224,152
D4×C28Direct product of C28 and D4112D4xC28224,153
C7×C4⋊D4Direct product of C7 and C4⋊D4112C7xC4:D4224,156
C7×C22⋊Q8Direct product of C7 and C22⋊Q8112C7xC2^2:Q8224,157
C7×C22.D4Direct product of C7 and C22.D4112C7xC2^2.D4224,158
C7×C4.4D4Direct product of C7 and C4.4D4112C7xC4.4D4224,159
C7×C422C2Direct product of C7 and C422C2112C7xC4^2:2C2224,161
C7×C41D4Direct product of C7 and C41D4112C7xC4:1D4224,162
C14×M4(2)Direct product of C14 and M4(2)112C14xM4(2)224,165
C7×C8○D4Direct product of C7 and C8○D41122C7xC8oD4224,166
C14×D8Direct product of C14 and D8112C14xD8224,167
C14×SD16Direct product of C14 and SD16112C14xSD16224,168
C7×C4○D8Direct product of C7 and C4○D81122C7xC4oD8224,170
C7×C8.C22Direct product of C7 and C8.C221124C7xC8.C2^2224,172
D7×C22×C4Direct product of C22×C4 and D7112D7xC2^2xC4224,175
C22×D28Direct product of C22 and D28112C2^2xD28224,176
C2×C4○D28Direct product of C2 and C4○D28112C2xC4oD28224,177
C2×D42D7Direct product of C2 and D42D7112C2xD4:2D7224,179
C2×Q8×D7Direct product of C2, Q8 and D7112C2xQ8xD7224,181
C2×Q82D7Direct product of C2 and Q82D7112C2xQ8:2D7224,182
Q8.10D141st non-split extension by Q8 of D14 acting through Inn(Q8)1124Q8.10D14224,183
D4.10D14The non-split extension by D4 of D14 acting through Inn(D4)1124-D4.10D14224,186
C22×C7⋊D4Direct product of C22 and C7⋊D4112C2^2xC7:D4224,188
D4×C2×C14Direct product of C2×C14 and D4112D4xC2xC14224,190
C14×C4○D4Direct product of C14 and C4○D4112C14xC4oD4224,192
C7×2- 1+4Direct product of C7 and 2- 1+41124C7xES-(2,2)224,194
D7×C24Direct product of C24 and D7112D7xC2^4224,196

Groups of order 336

dρLabelID
C7⋊C48The semidirect product of C7 and C48 acting via C48/C8=C61126C7:C48336,1
C16×C7⋊C3Direct product of C16 and C7⋊C31123C16xC7:C3336,2
C8.F7The non-split extension by C8 of F7 acting via F7/C7⋊C3=C21126-C8.F7336,11
C2×C7⋊C24Direct product of C2 and C7⋊C24112C2xC7:C24336,12
C4×C7⋊C12Direct product of C4 and C7⋊C12112C4xC7:C12336,14
Dic7⋊C12The semidirect product of Dic7 and C12 acting via C12/C2=C6112Dic7:C12336,15
C28⋊C121st semidirect product of C28 and C12 acting via C12/C2=C6112C28:C12336,16
Q8.2F7The non-split extension by Q8 of F7 acting via F7/C7⋊C3=C211212-Q8.2F7336,21
C42×C7⋊C3Direct product of C42 and C7⋊C3112C4^2xC7:C3336,48
C4⋊C4×C7⋊C3Direct product of C4⋊C4 and C7⋊C3112C4:C4xC7:C3336,50
C2×C8×C7⋊C3Direct product of C2×C8 and C7⋊C3112C2xC8xC7:C3336,51
Q16×C7⋊C3Direct product of Q16 and C7⋊C31126Q16xC7:C3336,55
C7×CSU2(𝔽3)Direct product of C7 and CSU2(𝔽3)1122C7xCSU(2,3)336,115
Q8.D21The non-split extension by Q8 of D21 acting via D21/C7=S31124-Q8.D21336,118
C2×C4.F7Direct product of C2 and C4.F7112C2xC4.F7336,121
C22×C7⋊C12Direct product of C22 and C7⋊C12112C2^2xC7:C12336,129
Dic7.2A4The non-split extension by Dic7 of A4 acting through Inn(Dic7)1124+Dic7.2A4336,131
Q8.F7The non-split extension by Q8 of F7 acting via F7/D7=C311212+Q8.F7336,134
C22×C4×C7⋊C3Direct product of C22×C4 and C7⋊C3112C2^2xC4xC7:C3336,164
C2×Q8×C7⋊C3Direct product of C2, Q8 and C7⋊C3112C2xQ8xC7:C3336,166
C14×SL2(𝔽3)Direct product of C14 and SL2(𝔽3)112C14xSL(2,3)336,169
C7×C4.A4Direct product of C7 and C4.A41122C7xC4.A4336,170
C2×C14.A4Direct product of C2 and C14.A4112C2xC14.A4336,172
C28.A4The non-split extension by C28 of A4 acting via A4/C22=C31126C28.A4336,173
C24×C7⋊C3Direct product of C24 and C7⋊C3112C2^4xC7:C3336,220

Groups of order 448

dρLabelID
C14.C4≀C21st non-split extension by C14 of C4≀C2 acting via C4≀C2/C42=C2112C14.C4wrC2448,8
C4⋊Dic7⋊C42nd semidirect product of C4⋊Dic7 and C4 acting faithfully112C4:Dic7:C4448,9
C56.16Q86th non-split extension by C56 of Q8 acting via Q8/C4=C21122C56.16Q8448,20
C28.15C428th non-split extension by C28 of C42 acting via C42/C2×C4=C21124C28.15C4^2448,23
C23.30D281st non-split extension by C23 of D28 acting via D28/D14=C2112C2^3.30D28448,24
(C22×D7)⋊C8The semidirect product of C22×D7 and C8 acting via C8/C2=C4112(C2^2xD7):C8448,25
C22.2D561st non-split extension by C22 of D56 acting via D56/D28=C2112C2^2.2D56448,27
(C2×C28).D42nd non-split extension by C2×C28 of D4 acting faithfully1128-(C2xC28).D4448,29
C23.D281st non-split extension by C23 of D28 acting via D28/C7=D41128-C2^3.D28448,30
C23.4D284th non-split extension by C23 of D28 acting via D28/C7=D41128-C2^3.4D28448,33
(C2×C4).D283rd non-split extension by C2×C4 of D28 acting via D28/C7=D41128+(C2xC4).D28448,34
(C2×Q8).D142nd non-split extension by C2×Q8 of D14 acting via D14/C7=C221128-(C2xQ8).D14448,35
C56.Q85th non-split extension by C56 of Q8 acting via Q8/C2=C221124C56.Q8448,44
D568C48th semidirect product of D56 and C4 acting via C4/C2=C21124D56:8C4448,45
C8.Dic142nd non-split extension by C8 of Dic14 acting via Dic14/C14=C221124C8.Dic14448,51
D56.C44th non-split extension by D56 of C4 acting via C4/C2=C21124+D56.C4448,52
C56.9Q89th non-split extension by C56 of Q8 acting via Q8/C2=C221124C56.9Q8448,68
C112⋊C42nd semidirect product of C112 and C4 acting faithfully1124C112:C4448,69
C16⋊Dic71st semidirect product of C16 and Dic7 acting via Dic7/C7=C41124C16:Dic7448,70
M5(2)⋊D73rd semidirect product of M5(2) and D7 acting via D7/C7=C21124M5(2):D7448,71
C28.3D83rd non-split extension by C28 of D8 acting via D8/C4=C221124+C28.3D8448,73
D562C42nd semidirect product of D56 and C4 acting via C4/C2=C21124D56:2C4448,75
C28.8C421st non-split extension by C28 of C42 acting via C42/C2×C4=C2112C28.8C4^2448,80
C24.Dic71st non-split extension by C24 of Dic7 acting via Dic7/C7=C4112C2^4.Dic7448,82
C24.D141st non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.D14448,83
C24.2D142nd non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.2D14448,84
C42⋊Dic71st semidirect product of C42 and Dic7 acting via Dic7/C7=C41124C4^2:Dic7448,88
C28.2C422nd non-split extension by C28 of C42 acting via C42/C22=C22112C28.2C4^2448,89
(C2×C28).Q88th non-split extension by C2×C28 of Q8 acting via Q8/C2=C221124(C2xC28).Q8448,90
(D4×C14)⋊C41st semidirect product of D4×C14 and C4 acting faithfully112(D4xC14):C4448,94
C4⋊C4⋊Dic72nd semidirect product of C4⋊C4 and Dic7 acting via Dic7/C7=C4112C4:C4:Dic7448,95
(C22×C28)⋊C42nd semidirect product of C22×C28 and C4 acting faithfully1124(C2^2xC28):C4448,96
C422Dic72nd semidirect product of C42 and Dic7 acting via Dic7/C7=C41124C4^2:2Dic7448,98
C42.Dic72nd non-split extension by C42 of Dic7 acting via Dic7/C7=C41124C4^2.Dic7448,99
C42.3Dic73rd non-split extension by C42 of Dic7 acting via Dic7/C7=C41124C4^2.3Dic7448,105
C56.D448th non-split extension by C56 of D4 acting via D4/C2=C221124C56.D4448,110
C28.3C423rd non-split extension by C28 of C42 acting via C42/C22=C22112C28.3C4^2448,112
(C2×C56)⋊C41st semidirect product of C2×C56 and C4 acting faithfully1124(C2xC56):C4448,113
C23.9D282nd non-split extension by C23 of D28 acting via D28/C14=C221124C2^3.9D28448,114
M4(2)⋊4Dic74th semidirect product of M4(2) and Dic7 acting via Dic7/C14=C21124M4(2):4Dic7448,116
C28.21C4214th non-split extension by C28 of C42 acting via C42/C2×C4=C21124C28.21C4^2448,117
D8.Dic72nd non-split extension by D8 of Dic7 acting via Dic7/C14=C21124D8.Dic7448,120
D82Dic72nd semidirect product of D8 and Dic7 acting via Dic7/C14=C21124D8:2Dic7448,123
C7×C23⋊C8Direct product of C7 and C23⋊C8112C7xC2^3:C8448,127
C7×C22.SD16Direct product of C7 and C22.SD16112C7xC2^2.SD16448,131
C7×C23.31D4Direct product of C7 and C23.31D4112C7xC2^3.31D4448,132
C7×C4.9C42Direct product of C7 and C4.9C421124C7xC4.9C4^2448,141
C7×C4.10C42Direct product of C7 and C4.10C421124C7xC4.10C4^2448,142
C7×C426C4Direct product of C7 and C426C4112C7xC4^2:6C4448,143
C7×C23.9D4Direct product of C7 and C23.9D4112C7xC2^3.9D4448,146
C7×M4(2)⋊4C4Direct product of C7 and M4(2)⋊4C41124C7xM4(2):4C4448,148
C7×C16⋊C4Direct product of C7 and C16⋊C41124C7xC16:C4448,151
C7×C23.C8Direct product of C7 and C23.C81124C7xC2^3.C8448,153
C7×C23.D4Direct product of C7 and C23.D41124C7xC2^3.D4448,156
C7×C423C4Direct product of C7 and C423C41124C7xC4^2:3C4448,158
C7×C42.C4Direct product of C7 and C42.C41124C7xC4^2.C4448,159
C7×C42.3C4Direct product of C7 and C42.3C41124C7xC4^2.3C4448,160
C7×D82C4Direct product of C7 and D82C41124C7xD8:2C4448,164
C7×M5(2)⋊C2Direct product of C7 and M5(2)⋊C21124C7xM5(2):C2448,165
C7×C8.C8Direct product of C7 and C8.C81122C7xC8.C8448,168
C7×C8.Q8Direct product of C7 and C8.Q81124C7xC8.Q8448,169
D5611C4The semidirect product of D56 and C4 acting through Inn(D56)1122D56:11C4448,234
D564C44th semidirect product of D56 and C4 acting via C4/C2=C21124D56:4C4448,251
D7×C22⋊C8Direct product of D7 and C22⋊C8112D7xC2^2:C8448,258
D14⋊M4(2)1st semidirect product of D14 and M4(2) acting via M4(2)/C2×C4=C2112D14:M4(2)448,260
D28.31D41st non-split extension by D28 of D4 acting via D4/C22=C2112D28.31D4448,265
D2813D41st semidirect product of D28 and D4 acting via D4/C22=C2112D28:13D4448,266
C23⋊C45D7The semidirect product of C23⋊C4 and D7 acting through Inn(C23⋊C4)1128-C2^3:C4:5D7448,274
C23.5D285th non-split extension by C23 of D28 acting via D28/C7=D41128-C2^3.5D28448,276
M4(2).19D142nd non-split extension by M4(2) of D14 acting via D14/D7=C21128-M4(2).19D14448,279
D28.1D41st non-split extension by D28 of D4 acting via D4/C2=C221128-D28.1D4448,280
D28.2D42nd non-split extension by D28 of D4 acting via D4/C2=C221128-D28.2D4448,282
D28.3D43rd non-split extension by D28 of D4 acting via D4/C2=C221128+D28.3D4448,283
D7×C4.10D4Direct product of D7 and C4.10D41128-D7xC4.10D4448,284
M4(2).21D144th non-split extension by M4(2) of D14 acting via D14/D7=C21128+M4(2).21D14448,285
D28.4D44th non-split extension by D28 of D4 acting via D4/C2=C221128-D28.4D4448,286
D28.5D45th non-split extension by D28 of D4 acting via D4/C2=C221128+D28.5D4448,287
D28.6D46th non-split extension by D28 of D4 acting via D4/C2=C221128+D28.6D4448,288
D7×D4⋊C4Direct product of D7 and D4⋊C4112D7xD4:C4448,303
(D4×D7)⋊C42nd semidirect product of D4×D7 and C4 acting via C4/C2=C2112(D4xD7):C4448,304
D4⋊D281st semidirect product of D4 and D28 acting via D28/D14=C2112D4:D28448,307
D4.6D281st non-split extension by D4 of D28 acting via D28/D14=C2112D4.6D28448,310
C42⋊D141st semidirect product of C42 and D14 acting via D14/C7=C221124C4^2:D14448,355
M4(2).22D145th non-split extension by M4(2) of D14 acting via D14/D7=C21124M4(2).22D14448,357
C42.196D1416th non-split extension by C42 of D14 acting via D14/D7=C21124C4^2.196D14448,358
M4(2)⋊D144th semidirect product of M4(2) and D14 acting via D14/C7=C221124M4(2):D14448,359
D4.9D284th non-split extension by D4 of D28 acting via D28/D14=C21124-D4.9D28448,360
D4.10D285th non-split extension by D4 of D28 acting via D28/D14=C21124D4.10D28448,361
D7×C8.C4Direct product of D7 and C8.C41124D7xC8.C4448,426
M4(2).25D148th non-split extension by M4(2) of D14 acting via D14/D7=C21124M4(2).25D14448,427
D5610C410th semidirect product of D56 and C4 acting via C4/C2=C21124D56:10C4448,428
D567C47th semidirect product of D56 and C4 acting via C4/C2=C21124D56:7C4448,429
C8.21D287th non-split extension by C8 of D28 acting via D28/D14=C21124+C8.21D28448,431
C8.24D2810th non-split extension by C8 of D28 acting via D28/D14=C21124C8.24D28448,432
D7×M5(2)Direct product of D7 and M5(2)1124D7xM5(2)448,440
C16⋊D141st semidirect product of C16 and D14 acting via D14/C7=C221124+C16:D14448,442
D7×D16Direct product of D7 and D161124+D7xD16448,444
D8⋊D142nd semidirect product of D8 and D14 acting via D14/D7=C21124D8:D14448,445
D7×SD32Direct product of D7 and SD321124D7xSD32448,447
D112⋊C26th semidirect product of D112 and C2 acting faithfully1124+D112:C2448,448
C2×Dic14⋊C4Direct product of C2 and Dic14⋊C4112C2xDic14:C4448,461
C2×C23.1D14Direct product of C2 and C23.1D14112C2xC2^3.1D14448,488
C23.44D2815th non-split extension by C23 of D28 acting via D28/D14=C2112C2^3.44D28448,489
C4⋊C436D142nd semidirect product of C4⋊C4 and D14 acting via D14/C14=C2112C4:C4:36D14448,535
C424D144th semidirect product of C42 and D14 acting via D14/C7=C221124C4^2:4D14448,539
(C2×D28)⋊13C49th semidirect product of C2×D28 and C4 acting via C4/C2=C21124(C2xD28):13C4448,540
D2816D44th semidirect product of D28 and D4 acting via D4/C22=C2112D28:16D4448,570
D28.36D46th non-split extension by D28 of D4 acting via D4/C22=C2112D28.36D4448,580
C22⋊C4⋊D144th semidirect product of C22⋊C4 and D14 acting via D14/C7=C221124C2^2:C4:D14448,587
C425D145th semidirect product of C42 and D14 acting via D14/C7=C221124C4^2:5D14448,595
D28.14D414th non-split extension by D28 of D4 acting via D4/C2=C221124D28.14D4448,596
D28.15D415th non-split extension by D28 of D4 acting via D4/C2=C221124D28.15D4448,629
C23.Dic146th non-split extension by C23 of Dic14 acting via Dic14/C14=C221124C2^3.Dic14448,658
M4(2).Dic71st non-split extension by M4(2) of Dic7 acting via Dic7/C14=C21124M4(2).Dic7448,659
D146M4(2)2nd semidirect product of D14 and M4(2) acting via M4(2)/C2×C4=C2112D14:6M4(2)448,660
C2×C28.46D4Direct product of C2 and C28.46D4112C2xC28.46D4448,664
C23.48D2819th non-split extension by C23 of D28 acting via D28/D14=C2112C2^3.48D28448,665
M4(2).31D144th non-split extension by M4(2) of D14 acting via D14/C14=C21124M4(2).31D14448,666
C2×D284C4Direct product of C2 and D284C4112C2xD28:4C4448,672
C23.20D2813rd non-split extension by C23 of D28 acting via D28/C14=C221124C2^3.20D28448,673
D4.3D283rd non-split extension by D4 of D28 acting via D28/C28=C21124D4.3D28448,675
D4.4D284th non-split extension by D4 of D28 acting via D28/C28=C21124+D4.4D28448,676
C56.93D416th non-split extension by C56 of D4 acting via D4/C22=C21124C56.93D4448,678
C56.50D450th non-split extension by C56 of D4 acting via D4/C2=C221124C56.50D4448,679
D8.D141st non-split extension by D8 of D14 acting via D14/C14=C21124D8.D14448,681
D28⋊D46th semidirect product of D28 and D4 acting via D4/C2=C22112D28:D4448,690
C56.23D423rd non-split extension by C56 of D4 acting via D4/C2=C221124C56.23D4448,694
D146SD162nd semidirect product of D14 and SD16 acting via SD16/D4=C2112D14:6SD16448,703
C56.44D444th non-split extension by C56 of D4 acting via D4/C2=C221124C56.44D4448,711
Q16⋊D142nd semidirect product of Q16 and D14 acting via D14/C14=C21124+Q16:D14448,727
D85Dic7The semidirect product of D8 and Dic7 acting through Inn(D8)1124D8:5Dic7448,730
D84Dic74th semidirect product of D8 and Dic7 acting via Dic7/C14=C21124D8:4Dic7448,731
M4(2).D1412nd non-split extension by M4(2) of D14 acting via D14/C7=C221128+M4(2).D14448,733
M4(2).13D1413rd non-split extension by M4(2) of D14 acting via D14/C7=C221128-M4(2).13D14448,734
D28.38D48th non-split extension by D28 of D4 acting via D4/C22=C21128-D28.38D4448,735
D28.39D49th non-split extension by D28 of D4 acting via D4/C22=C21128+D28.39D4448,736
M4(2).15D1415th non-split extension by M4(2) of D14 acting via D14/C7=C221128+M4(2).15D14448,737
D28.40D410th non-split extension by D28 of D4 acting via D4/C22=C21128-D28.40D4448,739
C24.4Dic72nd non-split extension by C24 of Dic7 acting via Dic7/C14=C2112C2^4.4Dic7448,741
(D4×C14)⋊6C42nd semidirect product of D4×C14 and C4 acting via C4/C2=C2112(D4xC14):6C4448,749
C2×C28.D4Direct product of C2 and C28.D4112C2xC28.D4448,750
(C2×C14)⋊8D82nd semidirect product of C2×C14 and D8 acting via D8/D4=C2112(C2xC14):8D8448,751
(C7×D4).31D41st non-split extension by C7×D4 of D4 acting via D4/C22=C2112(C7xD4).31D4448,752
C2×C23⋊Dic7Direct product of C2 and C23⋊Dic7112C2xC2^3:Dic7448,753
C2×D42Dic7Direct product of C2 and D42Dic7112C2xD4:2Dic7448,769
(D4×C14)⋊9C45th semidirect product of D4×C14 and C4 acting via C4/C2=C21124(D4xC14):9C4448,770
(D4×C14).16C410th non-split extension by D4×C14 of C4 acting via C4/C2=C21124(D4xC14).16C4448,771
(D4×C14)⋊10C46th semidirect product of D4×C14 and C4 acting via C4/C2=C21124(D4xC14):10C4448,774
2+ 1+4.D71st non-split extension by 2+ 1+4 of D7 acting via D7/C7=C21128-ES+(2,2).D7448,776
2+ 1+4.2D72nd non-split extension by 2+ 1+4 of D7 acting via D7/C7=C21128-ES+(2,2).2D7448,777
2- 1+4⋊D71st semidirect product of 2- 1+4 and D7 acting via D7/C7=C21128+ES-(2,2):D7448,779
2- 1+4.D7The non-split extension by 2- 1+4 of D7 acting via D7/C7=C21128-ES-(2,2).D7448,780
C25.D71st non-split extension by C25 of D7 acting via D7/C7=C2112C2^5.D7448,781
C7×C243C4Direct product of C7 and C243C4112C7xC2^4:3C4448,787
C7×C24.4C4Direct product of C7 and C24.4C4112C7xC2^4.4C4448,815
C14×C23⋊C4Direct product of C14 and C23⋊C4112C14xC2^3:C4448,817
C7×C23.C23Direct product of C7 and C23.C231124C7xC2^3.C2^3448,818
C14×C4.D4Direct product of C14 and C4.D4112C14xC4.D4448,819
C7×M4(2).8C22Direct product of C7 and M4(2).8C221124C7xM4(2).8C2^2448,821
C7×C23.37D4Direct product of C7 and C23.37D4112C7xC2^3.37D4448,826
C14×C4≀C2Direct product of C14 and C4≀C2112C14xC4wrC2448,828
C7×C42⋊C22Direct product of C7 and C42⋊C221124C7xC4^2:C2^2448,829
C7×M4(2).C4Direct product of C7 and M4(2).C41124C7xM4(2).C4448,838
C7×C8○D8Direct product of C7 and C8○D81122C7xC8oD8448,851
C7×C8.26D4Direct product of C7 and C8.26D41124C7xC8.26D4448,852
C7×C22⋊D8Direct product of C7 and C22⋊D8112C7xC2^2:D8448,855
C7×C22⋊SD16Direct product of C7 and C22⋊SD16112C7xC2^2:SD16448,858
C7×D4.8D4Direct product of C7 and D4.8D41124C7xD4.8D4448,862
C7×D4.9D4Direct product of C7 and D4.9D41124C7xD4.9D4448,863
C7×D4.10D4Direct product of C7 and D4.10D41124C7xD4.10D4448,864
C7×C23.7D4Direct product of C7 and C23.7D41124C7xC2^3.7D4448,866
C7×D4.3D4Direct product of C7 and D4.3D41124C7xD4.3D4448,879
C7×D4.4D4Direct product of C7 and D4.4D41124C7xD4.4D4448,880
C7×C16⋊C22Direct product of C7 and C16⋊C221124C7xC16:C2^2448,917
C232Dic142nd semidirect product of C23 and Dic14 acting via Dic14/C14=C22112C2^3:2Dic14448,936
C2×D7×C22⋊C4Direct product of C2, D7 and C22⋊C4112C2xD7xC2^2:C4448,937
C24.24D1424th non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.24D14448,939
C2×C22⋊D28Direct product of C2 and C22⋊D28112C2xC2^2:D28448,940
C24.27D1427th non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.27D14448,943
C233D282nd semidirect product of C23 and D28 acting via D28/C14=C22112C2^3:3D28448,946
C24.30D1430th non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.30D14448,947
C24.31D1431st non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.31D14448,948
D7×C42⋊C2Direct product of D7 and C42⋊C2112D7xC4^2:C2448,973
C427D147th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:7D14448,974
C428D148th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:8D14448,977
C429D149th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:9D14448,978
C4210D1410th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:10D14448,980
C4×D4×D7Direct product of C4, D4 and D7112C4xD4xD7448,997
C4211D1411st semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:11D14448,998
C4212D1412nd semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:12D14448,1000
D4×D28Direct product of D4 and D28112D4xD28448,1002
D2823D41st semidirect product of D28 and D4 acting through Inn(D28)112D28:23D4448,1003
D45D281st semidirect product of D4 and D28 acting through Inn(D4)112D4:5D28448,1007
C4216D1416th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:16D14448,1009
C4217D1417th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:17D14448,1013
C24.56D1414th non-split extension by C24 of D14 acting via D14/D7=C2112C2^4.56D14448,1039
C24.32D1432nd non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.32D14448,1040
C242D142nd semidirect product of C24 and D14 acting via D14/C7=C22112C2^4:2D14448,1042
C243D143rd semidirect product of C24 and D14 acting via D14/C7=C22112C2^4:3D14448,1043
C24.33D1433rd non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.33D14448,1044
C24.34D1434th non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.34D14448,1045
C24.35D1435th non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.35D14448,1046
C244D144th semidirect product of C24 and D14 acting via D14/C7=C22112C2^4:4D14448,1047
C24.36D1436th non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.36D14448,1048
D7×C4⋊D4Direct product of D7 and C4⋊D4112D7xC4:D4448,1057
C14.372+ 1+437th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.37ES+(2,2)448,1058
C4⋊C421D144th semidirect product of C4⋊C4 and D14 acting via D14/D7=C2112C4:C4:21D14448,1059
C14.382+ 1+438th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.38ES+(2,2)448,1060
D2819D47th semidirect product of D28 and D4 acting via D4/C22=C2112D28:19D4448,1062
C14.402+ 1+440th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.40ES+(2,2)448,1063
D2820D48th semidirect product of D28 and D4 acting via D4/C22=C2112D28:20D4448,1065
C14.422+ 1+442nd non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.42ES+(2,2)448,1066
C14.462+ 1+446th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.46ES+(2,2)448,1070
C14.482+ 1+448th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.48ES+(2,2)448,1073
D7×C22⋊Q8Direct product of D7 and C22⋊Q8112D7xC2^2:Q8448,1079
C4⋊C426D149th semidirect product of C4⋊C4 and D14 acting via D14/D7=C2112C4:C4:26D14448,1080
D2821D49th semidirect product of D28 and D4 acting via D4/C22=C2112D28:21D4448,1083
C14.512+ 1+451st non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.51ES+(2,2)448,1087
C14.532+ 1+453rd non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.53ES+(2,2)448,1090
C14.562+ 1+456th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.56ES+(2,2)448,1097
D7×C22.D4Direct product of D7 and C22.D4112D7xC2^2.D4448,1105
C14.1202+ 1+429th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C2112C14.120ES+(2,2)448,1106
C14.1212+ 1+430th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C2112C14.121ES+(2,2)448,1107
C4⋊C428D1411st semidirect product of C4⋊C4 and D14 acting via D14/D7=C2112C4:C4:28D14448,1109
C14.612+ 1+461st non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.61ES+(2,2)448,1110
C14.1222+ 1+431st non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C2112C14.122ES+(2,2)448,1111
C14.622+ 1+462nd non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.62ES+(2,2)448,1112
C14.682+ 1+468th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C2×D4=C2112C14.68ES+(2,2)448,1119
D7×C4.4D4Direct product of D7 and C4.4D4112D7xC4.4D4448,1126
C4218D1418th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:18D14448,1127
D2810D43rd semidirect product of D28 and D4 acting via D4/C4=C2112D28:10D4448,1129
C4220D1420th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:20D14448,1131
C4221D1421st semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:21D14448,1132
C4222D1422nd semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:22D14448,1136
D7×C422C2Direct product of D7 and C422C2112D7xC4^2:2C2448,1156
C4223D1423rd semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:23D14448,1157
C4224D1424th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:24D14448,1158
C4225D1425th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:25D14448,1164
D7×C41D4Direct product of D7 and C41D4112D7xC4:1D4448,1167
C4226D1426th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:26D14448,1168
D2811D44th semidirect product of D28 and D4 acting via D4/C4=C2112D28:11D4448,1170
C4228D1428th semidirect product of C42 and D14 acting via D14/C7=C22112C4^2:28D14448,1173
C2×D7×M4(2)Direct product of C2, D7 and M4(2)112C2xD7xM4(2)448,1196
C28.70C2417th non-split extension by C28 of C24 acting via C24/C23=C21124C28.70C2^4448,1198
C2×C8⋊D14Direct product of C2 and C8⋊D14112C2xC8:D14448,1199
C56.9C232nd non-split extension by C56 of C23 acting via C23/C2=C221124C56.9C2^3448,1201
D7×C8○D4Direct product of D7 and C8○D41124D7xC8oD4448,1202
C56.49C2342nd non-split extension by C56 of C23 acting via C23/C2=C221124C56.49C2^3448,1203
D4.11D281st non-split extension by D4 of D28 acting through Inn(D4)1124D4.11D28448,1204
D4.12D282nd non-split extension by D4 of D28 acting through Inn(D4)1124+D4.12D28448,1205
C2×D7×D8Direct product of C2, D7 and D8112C2xD7xD8448,1207
C2×D8⋊D7Direct product of C2 and D8⋊D7112C2xD8:D7448,1208
D813D142nd semidirect product of D8 and D14 acting through Inn(D8)1124D8:13D14448,1210
C2×D7×SD16Direct product of C2, D7 and SD16112C2xD7xSD16448,1211
C2×D56⋊C2Direct product of C2 and D56⋊C2112C2xD56:C2448,1212
D28.29D412nd non-split extension by D28 of D4 acting via D4/C4=C21124D28.29D4448,1215
D7×C4○D8Direct product of D7 and C4○D81124D7xC4oD8448,1220
D810D144th semidirect product of D8 and D14 acting via D14/C14=C21124D8:10D14448,1221
D815D144th semidirect product of D8 and D14 acting through Inn(D8)1124+D8:15D14448,1222
D811D145th semidirect product of D8 and D14 acting via D14/C14=C21124D8:11D14448,1223
SD16⋊D142nd semidirect product of SD16 and D14 acting via D14/D7=C21128-SD16:D14448,1226
D85D145th semidirect product of D8 and D14 acting via D14/D7=C21128+D8:5D14448,1227
D86D146th semidirect product of D8 and D14 acting via D14/D7=C21128-D8:6D14448,1228
D7×C8.C22Direct product of D7 and C8.C221128-D7xC8.C2^2448,1229
D56⋊C223rd semidirect product of D56 and C22 acting faithfully1128+D56:C2^2448,1230
C56.C236th non-split extension by C56 of C23 acting faithfully1128+C56.C2^3448,1231
C24.72D1412nd non-split extension by C24 of D14 acting via D14/C14=C2112C2^4.72D14448,1244
C2×D4.D14Direct product of C2 and D4.D14112C2xD4.D14448,1246
C24.38D1438th non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.38D14448,1251
C2×C23⋊D14Direct product of C2 and C23⋊D14112C2xC2^3:D14448,1252
D4×C7⋊D4Direct product of D4 and C7⋊D4112D4xC7:D4448,1254
C247D147th semidirect product of C24 and D14 acting via D14/C7=C22112C2^4:7D14448,1257
C24.41D1441st non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.41D14448,1258
C24.42D1442nd non-split extension by C24 of D14 acting via D14/C7=C22112C2^4.42D14448,1259
C28.76C2423rd non-split extension by C28 of C24 acting via C24/C23=C21124C28.76C2^4448,1272
C2×D4⋊D14Direct product of C2 and D4⋊D14112C2xD4:D14448,1273
C28.C2435th non-split extension by C28 of C24 acting via C24/C22=C221124C28.C2^4448,1275
(C2×C28)⋊15D411st semidirect product of C2×C28 and D4 acting via D4/C2=C22112(C2xC28):15D4448,1281
C14.1452+ 1+454th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C2112C14.145ES+(2,2)448,1282
C14.1462+ 1+455th non-split extension by C14 of 2+ 1+4 acting via 2+ 1+4/C4○D4=C2112C14.146ES+(2,2)448,1283
D28.32C2313rd non-split extension by D28 of C23 acting via C23/C22=C21128+D28.32C2^3448,1288
D28.33C2314th non-split extension by D28 of C23 acting via C23/C22=C21128-D28.33C2^3448,1289
D28.34C2315th non-split extension by D28 of C23 acting via C23/C22=C21128+D28.34C2^3448,1290
C2×C24⋊D7Direct product of C2 and C24⋊D7112C2xC2^4:D7448,1293
C7×C22.11C24Direct product of C7 and C22.11C24112C7xC2^2.11C2^4448,1301
C14×C22≀C2Direct product of C14 and C22≀C2112C14xC2^2wrC2448,1304
C7×C22.19C24Direct product of C7 and C22.19C24112C7xC2^2.19C2^4448,1308
C7×C233D4Direct product of C7 and C233D4112C7xC2^3:3D4448,1317
C7×C22.29C24Direct product of C7 and C22.29C24112C7xC2^2.29C2^4448,1318
C7×C22.32C24Direct product of C7 and C22.32C24112C7xC2^2.32C2^4448,1321
C7×C232Q8Direct product of C7 and C232Q8112C7xC2^3:2Q8448,1326
C7×D42Direct product of C7, D4 and D4112C7xD4^2448,1328
C7×D45D4Direct product of C7 and D45D4112C7xD4:5D4448,1329
C7×C22.45C24Direct product of C7 and C22.45C24112C7xC2^2.45C2^4448,1334
C7×C22.54C24Direct product of C7 and C22.54C24112C7xC2^2.54C2^4448,1343
C7×C24⋊C22Direct product of C7 and C24⋊C22112C7xC2^4:C2^2448,1344
C7×Q8○M4(2)Direct product of C7 and Q8○M4(2)1124C7xQ8oM4(2)448,1351
C14×C8⋊C22Direct product of C14 and C8⋊C22112C14xC8:C2^2448,1356
C7×D8⋊C22Direct product of C7 and D8⋊C221124C7xD8:C2^2448,1358
C7×D4○D8Direct product of C7 and D4○D81124C7xD4oD8448,1359
C7×D4○SD16Direct product of C7 and D4○SD161124C7xD4oSD16448,1360
C22×D4×D7Direct product of C22, D4 and D7112C2^2xD4xD7448,1369
C2×D46D14Direct product of C2 and D46D14112C2xD4:6D14448,1371
C2×D7×C4○D4Direct product of C2, D7 and C4○D4112C2xD7xC4oD4448,1375
C2×D48D14Direct product of C2 and D48D14112C2xD4:8D14448,1376
C14.C2514th non-split extension by C14 of C25 acting via C25/C24=C21124C14.C2^5448,1378
D14.C249th non-split extension by D14 of C24 acting via C24/C23=C21128-D14.C2^4448,1380
D7×2- 1+4Direct product of D7 and 2- 1+41128-D7xES-(2,2)448,1381
D28.39C2320th non-split extension by D28 of C23 acting via C23/C22=C21128+D28.39C2^3448,1382
C14×2+ 1+4Direct product of C14 and 2+ 1+4112C14xES+(2,2)448,1389
C7×C2.C25Direct product of C7 and C2.C251124C7xC2.C2^5448,1391

On 113 points

Groups of order 113

dρLabelID
C113Cyclic group1131C113113,1

Groups of order 226

dρLabelID
D113Dihedral group1132+D113226,1

Groups of order 452

dρLabelID
C113⋊C4The semidirect product of C113 and C4 acting faithfully1134+C113:C4452,3

On 114 points

Groups of order 114

dρLabelID
C114Cyclic group1141C114114,6

Groups of order 228

dρLabelID
C6×D19Direct product of C6 and D191142C6xD19228,12
S3×C38Direct product of C38 and S31142S3xC38228,13
D114Dihedral group; = C2×D571142+D114228,14

Groups of order 342

dρLabelID
C6×C19⋊C3Direct product of C6 and C19⋊C31143C6xC19:C3342,12
S3×C57Direct product of C57 and S31142S3xC57342,14
C3×D57Direct product of C3 and D571142C3xD57342,15

Groups of order 456

dρLabelID
C2×S3×D19Direct product of C2, S3 and D191144+C2xS3xD19456,47
A4×C38Direct product of C38 and A41143A4xC38456,49
C2×C19⋊A4Direct product of C2 and C19⋊A41143C2xC19:A4456,50

On 115 points

Groups of order 115

dρLabelID
C115Cyclic group1151C115115,1

Groups of order 230

dρLabelID
D5×C23Direct product of C23 and D51152D5xC23230,1
C5×D23Direct product of C5 and D231152C5xD23230,2
D115Dihedral group1152+D115230,3

Groups of order 460

dρLabelID
F5×C23Direct product of C23 and F51154F5xC23460,5
C23⋊F5The semidirect product of C23 and F5 acting via F5/D5=C21154C23:F5460,6
D5×D23Direct product of D5 and D231154+D5xD23460,7

On 116 points

Groups of order 116

dρLabelID
Dic29Dicyclic group; = C292C41162-Dic29116,1
C116Cyclic group1161C116116,2
C2×C58Abelian group of type [2,58]116C2xC58116,5

Groups of order 232

dρLabelID
C4×D29Direct product of C4 and D291162C4xD29232,5
D116Dihedral group1162+D116232,6
C29⋊D4The semidirect product of C29 and D4 acting via D4/C22=C21162C29:D4232,8
D4×C29Direct product of C29 and D41162D4xC29232,10
C22×D29Direct product of C22 and D29116C2^2xD29232,13

Groups of order 348

dρLabelID
A4×C29Direct product of C29 and A41163A4xC29348,8

Groups of order 464

dρLabelID
C4×C29⋊C4Direct product of C4 and C29⋊C41164C4xC29:C4464,30
C116⋊C41st semidirect product of C116 and C4 acting faithfully1164C116:C4464,31
D29.D4The non-split extension by D29 of D4 acting via D4/C22=C21164+D29.D4464,34
D4×D29Direct product of D4 and D291164+D4xD29464,39
C22×C29⋊C4Direct product of C22 and C29⋊C4116C2^2xC29:C4464,49

On 117 points

Groups of order 117

dρLabelID
C13⋊C9The semidirect product of C13 and C9 acting via C9/C3=C31173C13:C9117,1
C117Cyclic group1171C117117,2
C3×C39Abelian group of type [3,39]117C3xC39117,4

Groups of order 234

dρLabelID
C13⋊C18The semidirect product of C13 and C18 acting via C18/C3=C61176C13:C18234,1
C13×D9Direct product of C13 and D91172C13xD9234,3
C9×D13Direct product of C9 and D131172C9xD13234,4
D117Dihedral group1172+D117234,5
C32×D13Direct product of C32 and D13117C3^2xD13234,11
C13×C3⋊S3Direct product of C13 and C3⋊S3117C13xC3:S3234,14
C3⋊D39The semidirect product of C3 and D39 acting via D39/C39=C2117C3:D39234,15

Groups of order 351

dρLabelID
C9×C13⋊C3Direct product of C9 and C13⋊C31173C9xC13:C3351,3
C117⋊C32nd semidirect product of C117 and C3 acting faithfully1173C117:C3351,4
C1173C33rd semidirect product of C117 and C3 acting faithfully1173C117:3C3351,5
C39.C325th non-split extension by C39 of C32 acting via C32/C3=C31173C39.C3^2351,7
C13⋊He3The semidirect product of C13 and He3 acting via He3/C32=C31173C13:He3351,8
C13×He3Direct product of C13 and He31173C13xHe3351,10
C13×3- 1+2Direct product of C13 and 3- 1+21173C13xES-(3,1)351,11
C32×C13⋊C3Direct product of C32 and C13⋊C3117C3^2xC13:C3351,13

Groups of order 468

dρLabelID
C13⋊C36The semidirect product of C13 and C36 acting via C36/C3=C1211712C13:C36468,7
C9×C13⋊C4Direct product of C9 and C13⋊C41174C9xC13:C4468,9
C13⋊Dic9The semidirect product of C13 and Dic9 acting via Dic9/C9=C41174C13:Dic9468,10
D9×D13Direct product of D9 and D131174+D9xD13468,11
C32×C13⋊C4Direct product of C32 and C13⋊C4117C3^2xC13:C4468,36
C39⋊Dic31st semidirect product of C39 and Dic3 acting via Dic3/C3=C4117C39:Dic3468,38
C3⋊S3×D13Direct product of C3⋊S3 and D13117C3:S3xD13468,43

On 118 points

Groups of order 118

dρLabelID
C118Cyclic group1181C118118,2

Groups of order 236

dρLabelID
D118Dihedral group; = C2×D591182+D118236,3

On 119 points

Groups of order 119

dρLabelID
C119Cyclic group1191C119119,1

Groups of order 238

dρLabelID
D7×C17Direct product of C17 and D71192D7xC17238,1
C7×D17Direct product of C7 and D171192C7xD17238,2
D119Dihedral group1192+D119238,3

Groups of order 357

dρLabelID
C17×C7⋊C3Direct product of C17 and C7⋊C31193C17xC7:C3357,1

Groups of order 476

dρLabelID
C7×C17⋊C4Direct product of C7 and C17⋊C41194C7xC17:C4476,5
C17⋊Dic7The semidirect product of C17 and Dic7 acting via Dic7/C7=C41194C17:Dic7476,6
D7×D17Direct product of D7 and D171194+D7xD17476,7

On 120 points

Groups of order 120

dρLabelID
C5×C3⋊C8Direct product of C5 and C3⋊C81202C5xC3:C8120,1
C3×C52C8Direct product of C3 and C52C81202C3xC5:2C8120,2
C153C81st semidirect product of C15 and C8 acting via C8/C4=C21202C15:3C8120,3
C120Cyclic group1201C120120,4
C3×C5⋊C8Direct product of C3 and C5⋊C81204C3xC5:C8120,6
C15⋊C81st semidirect product of C15 and C8 acting via C8/C2=C41204C15:C8120,7
C15⋊Q8The semidirect product of C15 and Q8 acting via Q8/C2=C221204-C15:Q8120,14
C3×Dic10Direct product of C3 and Dic101202C3xDic10120,16
C6×Dic5Direct product of C6 and Dic5120C6xDic5120,19
C5×Dic6Direct product of C5 and Dic61202C5xDic6120,21
C10×Dic3Direct product of C10 and Dic3120C10xDic3120,24
Dic30Dicyclic group; = C152Q81202-Dic30120,26
C2×Dic15Direct product of C2 and Dic15120C2xDic15120,29
C2×C60Abelian group of type [2,60]120C2xC60120,31
Q8×C15Direct product of C15 and Q81202Q8xC15120,33
C22×C30Abelian group of type [2,2,30]120C2^2xC30120,47

Groups of order 240

dρLabelID
D5×C3⋊C8Direct product of D5 and C3⋊C81204D5xC3:C8240,7
S3×C52C8Direct product of S3 and C52C81204S3xC5:2C8240,8
D152C8The semidirect product of D15 and C8 acting via C8/C4=C21204D15:2C8240,9
C20.32D611st non-split extension by C20 of D6 acting via D6/S3=C21204C20.32D6240,10
D6.Dic5The non-split extension by D6 of Dic5 acting via Dic5/C10=C21204D6.Dic5240,11
D30.5C43rd non-split extension by D30 of C4 acting via C4/C2=C21204D30.5C4240,12
C15⋊D81st semidirect product of C15 and D8 acting via D8/C4=C221204C15:D8240,13
C3⋊D40The semidirect product of C3 and D40 acting via D40/D20=C21204+C3:D40240,14
C5⋊D24The semidirect product of C5 and D24 acting via D24/D12=C21204+C5:D24240,15
C30.D44th non-split extension by C30 of D4 acting via D4/C2=C221204C30.D4240,16
C20.D64th non-split extension by C20 of D6 acting via D6/C3=C221204C20.D6240,17
C6.D202nd non-split extension by C6 of D20 acting via D20/D10=C21204-C6.D20240,18
C15⋊SD164th semidirect product of C15 and SD16 acting via SD16/C4=C221204+C15:SD16240,19
D12.D51st non-split extension by D12 of D5 acting via D5/C5=C21204-D12.D5240,20
Dic6⋊D51st semidirect product of Dic6 and D5 acting via D5/C5=C21204+Dic6:D5240,21
D10⋊Dic31st semidirect product of D10 and Dic3 acting via Dic3/C6=C2120D10:Dic3240,26
D6⋊Dic5The semidirect product of D6 and Dic5 acting via Dic5/C10=C2120D6:Dic5240,27
D304C42nd semidirect product of D30 and C4 acting via C4/C2=C2120D30:4C4240,28
D5×C24Direct product of C24 and D51202D5xC24240,33
C3×C8⋊D5Direct product of C3 and C8⋊D51202C3xC8:D5240,34
C3×C40⋊C2Direct product of C3 and C40⋊C21202C3xC40:C2240,35
C3×D40Direct product of C3 and D401202C3xD40240,36
C3×C4.Dic5Direct product of C3 and C4.Dic51202C3xC4.Dic5240,39
C3×D10⋊C4Direct product of C3 and D10⋊C4120C3xD10:C4240,43
C3×D4⋊D5Direct product of C3 and D4⋊D51204C3xD4:D5240,44
C3×D4.D5Direct product of C3 and D4.D51204C3xD4.D5240,45
C3×Q8⋊D5Direct product of C3 and Q8⋊D51204C3xQ8:D5240,46
C3×C23.D5Direct product of C3 and C23.D5120C3xC2^3.D5240,48
S3×C40Direct product of C40 and S31202S3xC40240,49
C5×C8⋊S3Direct product of C5 and C8⋊S31202C5xC8:S3240,50
C5×C24⋊C2Direct product of C5 and C24⋊C21202C5xC24:C2240,51
C5×D24Direct product of C5 and D241202C5xD24240,52
C5×C4.Dic3Direct product of C5 and C4.Dic31202C5xC4.Dic3240,55
C5×D6⋊C4Direct product of C5 and D6⋊C4120C5xD6:C4240,59
C5×D4⋊S3Direct product of C5 and D4⋊S31204C5xD4:S3240,60
C5×D4.S3Direct product of C5 and D4.S31204C5xD4.S3240,61
C5×Q82S3Direct product of C5 and Q82S31204C5xQ8:2S3240,62
C5×C6.D4Direct product of C5 and C6.D4120C5xC6.D4240,64
C8×D15Direct product of C8 and D151202C8xD15240,65
C40⋊S34th semidirect product of C40 and S3 acting via S3/C3=C21202C40:S3240,66
C24⋊D52nd semidirect product of C24 and D5 acting via D5/C5=C21202C24:D5240,67
D120Dihedral group1202+D120240,68
C60.7C41st non-split extension by C60 of C4 acting via C4/C2=C21202C60.7C4240,71
D303C41st semidirect product of D30 and C4 acting via C4/C2=C2120D30:3C4240,75
D4⋊D15The semidirect product of D4 and D15 acting via D15/C15=C21204+D4:D15240,76
D4.D15The non-split extension by D4 of D15 acting via D15/C15=C21204-D4.D15240,77
Q82D15The semidirect product of Q8 and D15 acting via D15/C15=C21204+Q8:2D15240,78
C30.38D47th non-split extension by C30 of D4 acting via D4/C22=C2120C30.38D4240,80
C15×C22⋊C4Direct product of C15 and C22⋊C4120C15xC2^2:C4240,82
C15×M4(2)Direct product of C15 and M4(2)1202C15xM4(2)240,85
C15×D8Direct product of C15 and D81202C15xD8240,86
C15×SD16Direct product of C15 and SD161202C15xSD16240,87
S3×C5⋊C8Direct product of S3 and C5⋊C81208-S3xC5:C8240,98
D15⋊C8The semidirect product of D15 and C8 acting via C8/C2=C41208+D15:C8240,99
D6.F5The non-split extension by D6 of F5 acting via F5/D5=C21208-D6.F5240,100
Dic3.F5The non-split extension by Dic3 of F5 acting via F5/D5=C21208+Dic3.F5240,101
C3×D5⋊C8Direct product of C3 and D5⋊C81204C3xD5:C8240,111
C3×C4.F5Direct product of C3 and C4.F51204C3xC4.F5240,112
C3×C22.F5Direct product of C3 and C22.F51204C3xC2^2.F5240,116
C60.C43rd non-split extension by C60 of C4 acting faithfully1204C60.C4240,118
C12.F51st non-split extension by C12 of F5 acting via F5/D5=C21204C12.F5240,119
C158M4(2)1st semidirect product of C15 and M4(2) acting via M4(2)/C22=C41204C15:8M4(2)240,123
D5×Dic6Direct product of D5 and Dic61204-D5xDic6240,125
D205S3The semidirect product of D20 and S3 acting through Inn(D20)1204-D20:5S3240,126
D20⋊S33rd semidirect product of D20 and S3 acting via S3/C3=C21204D20:S3240,127
S3×Dic10Direct product of S3 and Dic101204-S3xDic10240,128
D12⋊D53rd semidirect product of D12 and D5 acting via D5/C5=C21204D12:D5240,129
D60⋊C26th semidirect product of D60 and C2 acting faithfully1204+D60:C2240,130
D15⋊Q8The semidirect product of D15 and Q8 acting via Q8/C4=C21204D15:Q8240,131
D6.D103rd non-split extension by D6 of D10 acting via D10/C10=C21204D6.D10240,132
D125D5The semidirect product of D12 and D5 acting through Inn(D12)1204-D12:5D5240,133
C12.28D107th non-split extension by C12 of D10 acting via D10/D5=C21204+C12.28D10240,134
C2×D5×Dic3Direct product of C2, D5 and Dic3120C2xD5xDic3240,139
Dic5.D65th non-split extension by Dic5 of D6 acting via D6/S3=C21204Dic5.D6240,140
C30.C2317th non-split extension by C30 of C23 acting via C23/C2=C221204-C30.C2^3240,141
C2×S3×Dic5Direct product of C2, S3 and Dic5120C2xS3xDic5240,142
Dic3.D106th non-split extension by Dic3 of D10 acting via D10/D5=C21204Dic3.D10240,143
C2×D30.C2Direct product of C2 and D30.C2120C2xD30.C2240,144
C2×C15⋊D4Direct product of C2 and C15⋊D4120C2xC15:D4240,145
C2×C3⋊D20Direct product of C2 and C3⋊D20120C2xC3:D20240,146
C2×C5⋊D12Direct product of C2 and C5⋊D12120C2xC5:D12240,147
D5×C2×C12Direct product of C2×C12 and D5120D5xC2xC12240,156
C6×D20Direct product of C6 and D20120C6xD20240,157
C3×C4○D20Direct product of C3 and C4○D201202C3xC4oD20240,158
C3×D42D5Direct product of C3 and D42D51204C3xD4:2D5240,160
C3×Q8×D5Direct product of C3, Q8 and D51204C3xQ8xD5240,161
C3×Q82D5Direct product of C3 and Q82D51204C3xQ8:2D5240,162
C6×C5⋊D4Direct product of C6 and C5⋊D4120C6xC5:D4240,164
S3×C2×C20Direct product of C2×C20 and S3120S3xC2xC20240,166
C10×D12Direct product of C10 and D12120C10xD12240,167
C5×C4○D12Direct product of C5 and C4○D121202C5xC4oD12240,168
C5×D42S3Direct product of C5 and D42S31204C5xD4:2S3240,170
C5×S3×Q8Direct product of C5, S3 and Q81204C5xS3xQ8240,171
C5×Q83S3Direct product of C5 and Q83S31204C5xQ8:3S3240,172
C10×C3⋊D4Direct product of C10 and C3⋊D4120C10xC3:D4240,174
C2×C4×D15Direct product of C2×C4 and D15120C2xC4xD15240,176
C2×D60Direct product of C2 and D60120C2xD60240,177
D6011C2The semidirect product of D60 and C2 acting through Inn(D60)1202D60:11C2240,178
D42D15The semidirect product of D4 and D15 acting through Inn(D4)1204-D4:2D15240,180
Q8×D15Direct product of Q8 and D151204-Q8xD15240,181
Q83D15The semidirect product of Q8 and D15 acting through Inn(Q8)1204+Q8:3D15240,182
C2×C157D4Direct product of C2 and C157D4120C2xC15:7D4240,184
D4×C30Direct product of C30 and D4120D4xC30240,186
C15×C4○D4Direct product of C15 and C4○D41202C15xC4oD4240,188
D5×C22×C6Direct product of C22×C6 and D5120D5xC2^2xC6240,205
S3×C22×C10Direct product of C22×C10 and S3120S3xC2^2xC10240,206
C23×D15Direct product of C23 and D15120C2^3xD15240,207

Groups of order 360

dρLabelID
C15×C3⋊C8Direct product of C15 and C3⋊C81202C15xC3:C8360,34
C3×C153C8Direct product of C3 and C153C81202C3xC15:3C8360,35
C3×C15⋊C8Direct product of C3 and C15⋊C81204C3xC15:C8360,53
C5×C322C8Direct product of C5 and C322C81204C5xC3^2:2C8360,55
(C3×C15)⋊9C86th semidirect product of C3×C15 and C8 acting via C8/C2=C41204(C3xC15):9C8360,56
(C3×C6).F5The non-split extension by C3×C6 of F5 acting via F5/C5=C41204-(C3xC6).F5360,57
C3×S3×Dic5Direct product of C3, S3 and Dic51204C3xS3xDic5360,59
C3×D30.C2Direct product of C3 and D30.C21204C3xD30.C2360,60
C3×C5⋊D12Direct product of C3 and C5⋊D121204C3xC5:D12360,63
C3×C15⋊Q8Direct product of C3 and C15⋊Q81204C3xC15:Q8360,64
C5×S3×Dic3Direct product of C5, S3 and Dic31204C5xS3xDic3360,72
C5×D6⋊S3Direct product of C5 and D6⋊S31204C5xD6:S3360,74
C5×C322Q8Direct product of C5 and C322Q81204C5xC3^2:2Q8360,76
Dic3×D15Direct product of Dic3 and D151204-Dic3xD15360,77
S3×Dic15Direct product of S3 and Dic151204-S3xDic15360,78
D6⋊D151st semidirect product of D6 and D15 acting via D15/C15=C21204-D6:D15360,80
C3⋊Dic30The semidirect product of C3 and Dic30 acting via Dic30/Dic15=C21204-C3:Dic30360,83
D30.S3The non-split extension by D30 of S3 acting via S3/C3=C21204D30.S3360,84
C323D202nd semidirect product of C32 and D20 acting via D20/C10=C221204C3^2:3D20360,87
C323Dic102nd semidirect product of C32 and Dic10 acting via Dic10/C10=C221204C3^2:3Dic10360,88
C15×SL2(𝔽3)Direct product of C15 and SL2(𝔽3)1202C15xSL(2,3)360,89
C15×Dic6Direct product of C15 and Dic61202C15xDic6360,95
S3×C60Direct product of C60 and S31202S3xC60360,96
C15×D12Direct product of C15 and D121202C15xD12360,97
Dic3×C30Direct product of C30 and Dic3120Dic3xC30360,98
C3×Dic30Direct product of C3 and Dic301202C3xDic30360,100
C12×D15Direct product of C12 and D151202C12xD15360,101
C3×D60Direct product of C3 and D601202C3xD60360,102
C6×Dic15Direct product of C6 and Dic15120C6xDic15360,103
S3×C2×C30Direct product of C2×C30 and S3120S3xC2xC30360,158
C2×C6×D15Direct product of C2×C6 and D15120C2xC6xD15360,159

Groups of order 480

dρLabelID
C60.28D428th non-split extension by C60 of D4 acting via D4/C2=C221204C60.28D4480,34
C20.5D125th non-split extension by C20 of D12 acting via D12/C6=C221204C20.5D12480,35
C60.29D429th non-split extension by C60 of D4 acting via D4/C2=C221204+C60.29D4480,36
C60.96D496th non-split extension by C60 of D4 acting via D4/C2=C221204C60.96D4480,52
C60.97D497th non-split extension by C60 of D4 acting via D4/C2=C221204C60.97D4480,53
C60.98D498th non-split extension by C60 of D4 acting via D4/C2=C221204C60.98D4480,54
C60.99D499th non-split extension by C60 of D4 acting via D4/C2=C221204C60.99D4480,55
D6013C47th semidirect product of D60 and C4 acting via C4/C2=C21204D60:13C4480,56
D6016C410th semidirect product of D60 and C4 acting via C4/C2=C21204D60:16C4480,57
(C2×C6).D202nd non-split extension by C2×C6 of D20 acting via D20/C10=C221204(C2xC6).D20480,71
C158(C23⋊C4)2nd semidirect product of C15 and C23⋊C4 acting via C23⋊C4/C23=C221204C15:8(C2^3:C4)480,72
C159(C23⋊C4)3rd semidirect product of C15 and C23⋊C4 acting via C23⋊C4/C23=C221204C15:9(C2^3:C4)480,73
C3×D204C4Direct product of C3 and D204C41202C3xD20:4C4480,83
C3×C23.1D10Direct product of C3 and C23.1D101204C3xC2^3.1D10480,84
C3×C20.46D4Direct product of C3 and C20.46D41204C3xC20.46D4480,101
C3×D207C4Direct product of C3 and D207C41204C3xD20:7C4480,103
C3×C20.D4Direct product of C3 and C20.D41204C3xC20.D4480,111
C3×C23⋊Dic5Direct product of C3 and C23⋊Dic51204C3xC2^3:Dic5480,112
C3×D42Dic5Direct product of C3 and D42Dic51204C3xD4:2Dic5480,115
C5×C424S3Direct product of C5 and C424S31202C5xC4^2:4S3480,124
C5×C23.6D6Direct product of C5 and C23.6D61204C5xC2^3.6D6480,125
C5×C12.46D4Direct product of C5 and C12.46D41204C5xC12.46D4480,142
C5×D12⋊C4Direct product of C5 and D12⋊C41204C5xD12:C4480,144
C5×C12.D4Direct product of C5 and C12.D41204C5xC12.D4480,152
C5×C23.7D6Direct product of C5 and C23.7D61204C5xC2^3.7D6480,153
C5×Q83Dic3Direct product of C5 and Q83Dic31204C5xQ8:3Dic3480,156
D607C41st semidirect product of D60 and C4 acting via C4/C2=C21202D60:7C4480,165
C23.6D301st non-split extension by C23 of D30 acting via D30/C15=C221204C2^3.6D30480,166
M4(2)⋊D153rd semidirect product of M4(2) and D15 acting via D15/C15=C21204+M4(2):D15480,183
D6010C44th semidirect product of D60 and C4 acting via C4/C2=C21204D60:10C4480,185
C60.8D48th non-split extension by C60 of D4 acting via D4/C2=C221204C60.8D4480,193
C23.7D302nd non-split extension by C23 of D30 acting via D30/C15=C221204C2^3.7D30480,194
Q83Dic152nd semidirect product of Q8 and Dic15 acting via Dic15/C30=C21204Q8:3Dic15480,197
C15×C23⋊C4Direct product of C15 and C23⋊C41204C15xC2^3:C4480,202
C15×C4.D4Direct product of C15 and C4.D41204C15xC4.D4480,203
C15×C4≀C2Direct product of C15 and C4≀C21202C15xC4wrC2480,207
F5×C3⋊C8Direct product of F5 and C3⋊C81208F5xC3:C8480,223
C30.C422nd non-split extension by C30 of C42 acting via C42/C2=C2×C41208C30.C4^2480,224
C30.3C423rd non-split extension by C30 of C42 acting via C42/C2=C2×C41208C30.3C4^2480,225
C30.4C424th non-split extension by C30 of C42 acting via C42/C2=C2×C41208C30.4C4^2480,226
D60⋊C41st semidirect product of D60 and C4 acting faithfully1208+D60:C4480,227
D12⋊F51st semidirect product of D12 and F5 acting via F5/D5=C21208+D12:F5480,228
Dic6⋊F53rd semidirect product of Dic6 and F5 acting via F5/D5=C21208-Dic6:F5480,229
Dic30⋊C44th semidirect product of Dic30 and C4 acting faithfully1208-Dic30:C4480,230
D124F54th semidirect product of D12 and F5 acting via F5/D5=C21208-D12:4F5480,231
D122F52nd semidirect product of D12 and F5 acting via F5/D5=C21208-D12:2F5480,232
D602C42nd semidirect product of D60 and C4 acting faithfully1208+D60:2C4480,233
D605C45th semidirect product of D60 and C4 acting faithfully1208+D60:5C4480,234
Dic5.Dic63rd non-split extension by Dic5 of Dic6 acting via Dic6/Dic3=C21208Dic5.Dic6480,235
Dic5.4Dic64th non-split extension by Dic5 of Dic6 acting via Dic6/Dic3=C21208Dic5.4Dic6480,236
D10.20D129th non-split extension by D10 of D12 acting via D12/D6=C2120D10.20D12480,243
D10.D123rd non-split extension by D10 of D12 acting via D12/C6=C221208-D10.D12480,248
D10.4D124th non-split extension by D10 of D12 acting via D12/C6=C221208+D10.4D12480,249
Dic5.D123rd non-split extension by Dic5 of D12 acting via D12/C6=C221208+Dic5.D12480,250
C5×A4⋊C8Direct product of C5 and A4⋊C81203C5xA4:C8480,255
C5×U2(𝔽3)Direct product of C5 and U2(𝔽3)1202C5xU(2,3)480,257
C20.S44th non-split extension by C20 of S4 acting via S4/A4=C21206C20.S4480,259
C52U2(𝔽3)The semidirect product of C5 and U2(𝔽3) acting via U2(𝔽3)/C4.A4=C21204C5:2U(2,3)480,261
A4×C52C8Direct product of A4 and C52C81206A4xC5:2C8480,265
F5×C24Direct product of C24 and F51204F5xC24480,271
C3×C8⋊F5Direct product of C3 and C8⋊F51204C3xC8:F5480,272
C3×C40⋊C4Direct product of C3 and C40⋊C41204C3xC40:C4480,273
C3×D5.D8Direct product of C3 and D5.D81204C3xD5.D8480,274
C3×D10.D4Direct product of C3 and D10.D41204C3xD10.D4480,279
C3×D10.3Q8Direct product of C3 and D10.3Q8120C3xD10.3Q8480,286
C3×D20⋊C4Direct product of C3 and D20⋊C41208C3xD20:C4480,287
C3×D4⋊F5Direct product of C3 and D4⋊F51208C3xD4:F5480,288
C3×Q8⋊F5Direct product of C3 and Q8⋊F51208C3xQ8:F5480,289
C3×Q82F5Direct product of C3 and Q82F51208C3xQ8:2F5480,290
C3×C23⋊F5Direct product of C3 and C23⋊F51204C3xC2^3:F5480,291
C3×C23.F5Direct product of C3 and C23.F51204C3xC2^3.F5480,293
C8×C3⋊F5Direct product of C8 and C3⋊F51204C8xC3:F5480,296
C24⋊F55th semidirect product of C24 and F5 acting via F5/D5=C21204C24:F5480,297
C120⋊C42nd semidirect product of C120 and C4 acting faithfully1204C120:C4480,298
D5.D24The non-split extension by D5 of D24 acting via D24/C24=C21204D5.D24480,299
(C2×C60)⋊C42nd semidirect product of C2×C60 and C4 acting faithfully1204(C2xC60):C4480,304
D10.10D126th non-split extension by D10 of D12 acting via D12/C12=C2120D10.10D12480,311
D20⋊Dic31st semidirect product of D20 and Dic3 acting via Dic3/C3=C41208D20:Dic3480,312
Dic10⋊Dic31st semidirect product of Dic10 and Dic3 acting via Dic3/C3=C41208Dic10:Dic3480,313
Dic102Dic32nd semidirect product of Dic10 and Dic3 acting via Dic3/C3=C41208Dic10:2Dic3480,314
D202Dic32nd semidirect product of D20 and Dic3 acting via Dic3/C3=C41208D20:2Dic3480,315
C3⋊(C23⋊F5)The semidirect product of C3 and C23⋊F5 acting via C23⋊F5/C2×C5⋊D4=C21204C3:(C2^3:F5)480,316
C5⋊(C12.D4)The semidirect product of C5 and C12.D4 acting via C12.D4/C22×C6=C41204C5:(C12.D4)480,318
S3×C8×D5Direct product of C8, S3 and D51204S3xC8xD5480,319
D5×C8⋊S3Direct product of D5 and C8⋊S31204D5xC8:S3480,320
S3×C8⋊D5Direct product of S3 and C8⋊D51204S3xC8:D5480,321
C40⋊D617th semidirect product of C40 and D6 acting via D6/C3=C221204C40:D6480,322
D5×C24⋊C2Direct product of D5 and C24⋊C21204D5xC24:C2480,323
D5×D24Direct product of D5 and D241204+D5xD24480,324
C24⋊D101st semidirect product of C24 and D10 acting via D10/C5=C221204+C24:D10480,325
D24⋊D52nd semidirect product of D24 and D5 acting via D5/C5=C21204D24:D5480,326
S3×C40⋊C2Direct product of S3 and C40⋊C21204S3xC40:C2480,327
S3×D40Direct product of S3 and D401204+S3xD40480,328
C401D61st semidirect product of C40 and D6 acting via D6/C3=C221204+C40:1D6480,329
D40⋊S32nd semidirect product of D40 and S3 acting via S3/C3=C21204D40:S3480,330
C4014D614th semidirect product of C40 and D6 acting via D6/C3=C221204C40:14D6480,331
C405D65th semidirect product of C40 and D6 acting via D6/C3=C221204C40:5D6480,332
D246D56th semidirect product of D24 and D5 acting via D5/C5=C21204D24:6D5480,333
C408D68th semidirect product of C40 and D6 acting via D6/C3=C221204C40:8D6480,334
D5×C4.Dic3Direct product of D5 and C4.Dic31204D5xC4.Dic3480,358
S3×C4.Dic5Direct product of S3 and C4.Dic51204S3xC4.Dic5480,363
D154M4(2)The semidirect product of D15 and M4(2) acting via M4(2)/C2×C4=C21204D15:4M4(2)480,368
C60.36D436th non-split extension by C60 of D4 acting via D4/C2=C221204C60.36D4480,374
D2021D64th semidirect product of D20 and D6 acting via D6/C6=C21204D20:21D6480,375
D2019D62nd semidirect product of D20 and D6 acting via D6/C6=C21204+D20:19D6480,377
D6036C2217th semidirect product of D60 and C22 acting via C22/C2=C21204D60:36C2^2480,380
C60.38D438th non-split extension by C60 of D4 acting via D4/C2=C221204+C60.38D4480,381
D6030C2211st semidirect product of D60 and C22 acting via C22/C2=C21204D60:30C2^2480,388
D5×D6⋊C4Direct product of D5 and D6⋊C4120D5xD6:C4480,547
S3×D10⋊C4Direct product of S3 and D10⋊C4120S3xD10:C4480,548
D30.27D411st non-split extension by D30 of D4 acting via D4/C4=C2120D30.27D4480,549
D64D201st semidirect product of D6 and D20 acting via D20/D10=C2120D6:4D20480,550
D304D44th semidirect product of D30 and D4 acting via D4/C2=C22120D30:4D4480,551
D305D45th semidirect product of D30 and D4 acting via D4/C2=C22120D30:5D4480,552
D5×D4⋊S3Direct product of D5 and D4⋊S31208+D5xD4:S3480,553
Dic103D63rd semidirect product of Dic10 and D6 acting via D6/C3=C221208+Dic10:3D6480,554
S3×D4⋊D5Direct product of S3 and D4⋊D51208+S3xD4:D5480,555
D60.C222nd non-split extension by D60 of C22 acting faithfully1208+D60.C2^2480,556
D15⋊D8The semidirect product of D15 and D8 acting via D8/D4=C21208+D15:D8480,557
D30.8D48th non-split extension by D30 of D4 acting via D4/C2=C221208-D30.8D4480,558
D5×D4.S3Direct product of D5 and D4.S31208-D5xD4.S3480,559
S3×D4.D5Direct product of S3 and D4.D51208-S3xD4.D5480,561
Dic10⋊D64th semidirect product of Dic10 and D6 acting via D6/C3=C221208+Dic10:D6480,563
D1210D104th semidirect product of D12 and D10 acting via D10/D5=C21208-D12:10D10480,565
D20.9D69th non-split extension by D20 of D6 acting via D6/C3=C221208+D20.9D6480,567
D2010D64th semidirect product of D20 and D6 acting via D6/S3=C21208-D20:10D6480,570
D12.9D109th non-split extension by D12 of D10 acting via D10/C5=C221208+D12.9D10480,572
Dic6⋊D105th semidirect product of Dic6 and D10 acting via D10/C5=C221208+Dic6:D10480,574
D125D105th semidirect product of D12 and D10 acting via D10/C5=C221208+D12:5D10480,576
D5×Q82S3Direct product of D5 and Q82S31208+D5xQ8:2S3480,577
D20⋊D66th semidirect product of D20 and D6 acting via D6/C3=C221208+D20:D6480,578
S3×Q8⋊D5Direct product of S3 and Q8⋊D51208+S3xQ8:D5480,579
D12⋊D106th semidirect product of D12 and D10 acting via D10/C5=C221208+D12:D10480,580
D15⋊SD16The semidirect product of D15 and SD16 acting via SD16/Q8=C21208-D15:SD16480,581
D60⋊C226th semidirect product of D60 and C22 acting faithfully1208+D60:C2^2480,582
D5×C6.D4Direct product of D5 and C6.D4120D5xC6.D4480,623
S3×C23.D5Direct product of S3 and C23.D5120S3xC2^3.D5480,630
D30.45D418th non-split extension by D30 of D4 acting via D4/C22=C2120D30.45D4480,637
(C2×C30)⋊D44th semidirect product of C2×C30 and D4 acting via D4/C2=C22120(C2xC30):D4480,639
(C2×C6)⋊8D202nd semidirect product of C2×C6 and D20 acting via D20/D10=C2120(C2xC6):8D20480,640
C15⋊C22≀C23rd semidirect product of C15 and C22≀C2 acting via C22≀C2/C23=C22120C15:C2^2wrC2480,644
(C2×C10)⋊11D122nd semidirect product of C2×C10 and D12 acting via D12/D6=C2120(C2xC10):11D12480,646
D3018D43rd semidirect product of D30 and D4 acting via D4/C22=C2120D30:18D4480,648
D3019D44th semidirect product of D30 and D4 acting via D4/C22=C2120D30:19D4480,649
D308D48th semidirect product of D30 and D4 acting via D4/C2=C22120D30:8D4480,653
A4×C40Direct product of C40 and A41203A4xC40480,659
C3×D5×C22⋊C4Direct product of C3, D5 and C22⋊C4120C3xD5xC2^2:C4480,673
C3×C22⋊D20Direct product of C3 and C22⋊D20120C3xC2^2:D20480,675
C3×D5×M4(2)Direct product of C3, D5 and M4(2)1204C3xD5xM4(2)480,699
C3×C8⋊D10Direct product of C3 and C8⋊D101204C3xC8:D10480,701
C3×D5×D8Direct product of C3, D5 and D81204C3xD5xD8480,703
C3×D8⋊D5Direct product of C3 and D8⋊D51204C3xD8:D5480,704
C3×D5×SD16Direct product of C3, D5 and SD161204C3xD5xSD16480,706
C3×D40⋊C2Direct product of C3 and D40⋊C21204C3xD40:C2480,707
C3×D4.D10Direct product of C3 and D4.D101204C3xD4.D10480,725
C3×C23⋊D10Direct product of C3 and C23⋊D10120C3xC2^3:D10480,730
C3×D4⋊D10Direct product of C3 and D4⋊D101204C3xD4:D10480,742
C3×C242D5Direct product of C3 and C242D5120C3xC2^4:2D5480,746
C5×S3×C22⋊C4Direct product of C5, S3 and C22⋊C4120C5xS3xC2^2:C4480,759
C5×D6⋊D4Direct product of C5 and D6⋊D4120C5xD6:D4480,761
C5×S3×M4(2)Direct product of C5, S3 and M4(2)1204C5xS3xM4(2)480,785
C5×C8⋊D6Direct product of C5 and C8⋊D61204C5xC8:D6480,787
C5×S3×D8Direct product of C5, S3 and D81204C5xS3xD8480,789
C5×D8⋊S3Direct product of C5 and D8⋊S31204C5xD8:S3480,790
C5×S3×SD16Direct product of C5, S3 and SD161204C5xS3xSD16480,792
C5×Q83D6Direct product of C5 and Q83D61204C5xQ8:3D6480,793
C5×D126C22Direct product of C5 and D126C221204C5xD12:6C2^2480,811
C5×C232D6Direct product of C5 and C232D6120C5xC2^3:2D6480,816
C5×D4⋊D6Direct product of C5 and D4⋊D61204C5xD4:D6480,828
C5×C244S3Direct product of C5 and C244S3120C5xC2^4:4S3480,832
C22⋊C4×D15Direct product of C22⋊C4 and D15120C2^2:C4xD15480,845
D3016D41st semidirect product of D30 and D4 acting via D4/C22=C2120D30:16D4480,847
M4(2)×D15Direct product of M4(2) and D151204M4(2)xD15480,871
C8⋊D301st semidirect product of C8 and D30 acting via D30/C15=C221204+C8:D30480,873
D8×D15Direct product of D8 and D151204+D8xD15480,875
D8⋊D152nd semidirect product of D8 and D15 acting via D15/C15=C21204D8:D15480,876
SD16×D15Direct product of SD16 and D151204SD16xD15480,878
Q83D302nd semidirect product of Q8 and D30 acting via D30/D15=C21204+Q8:3D30480,879
D4.D301st non-split extension by D4 of D30 acting via D30/C30=C21204D4.D30480,897
D3017D42nd semidirect product of D30 and D4 acting via D4/C22=C2120D30:17D4480,902
D4⋊D302nd semidirect product of D4 and D30 acting via D30/C30=C21204+D4:D30480,914
C245D151st semidirect product of C24 and D15 acting via D15/C15=C2120C2^4:5D15480,918
C15×C22≀C2Direct product of C15 and C22≀C2120C15xC2^2wrC2480,925
C15×C8⋊C22Direct product of C15 and C8⋊C221204C15xC8:C2^2480,941
C5⋊U2(𝔽3)The semidirect product of C5 and U2(𝔽3) acting via U2(𝔽3)/SL2(𝔽3)=C41208+C5:U(2,3)480,961
Dic5.S45th non-split extension by Dic5 of S4 acting via S4/A4=C212012-Dic5.S4480,963
A4×C5⋊C8Direct product of A4 and C5⋊C812012-A4xC5:C8480,966
A4⋊Dic10The semidirect product of A4 and Dic10 acting via Dic10/Dic5=C21206-A4:Dic10480,975
F5×Dic6Direct product of F5 and Dic61208-F5xDic6480,982
C4⋊F53S3The semidirect product of C4⋊F5 and S3 acting through Inn(C4⋊F5)1208C4:F5:3S3480,983
Dic65F55th semidirect product of Dic6 and F5 acting via F5/D5=C21208-Dic6:5F5480,984
(C4×S3)⋊F53rd semidirect product of C4×S3 and F5 acting via F5/D5=C21208(C4xS3):F5480,985
S3×D5⋊C8Direct product of S3 and D5⋊C81208S3xD5:C8480,986
S3×C4.F5Direct product of S3 and C4.F51208S3xC4.F5480,988
D15⋊M4(2)The semidirect product of D15 and M4(2) acting via M4(2)/C4=C41208D15:M4(2)480,991
C5⋊C8⋊D61st semidirect product of C5⋊C8 and D6 acting via D6/C6=C21208C5:C8:D6480,993
C2×Dic3×F5Direct product of C2, Dic3 and F5120C2xDic3xF5480,998
C22⋊F5.S3The non-split extension by C22⋊F5 of S3 acting through Inn(C22⋊F5)1208-C2^2:F5.S3480,999
C2×D6⋊F5Direct product of C2 and D6⋊F5120C2xD6:F5480,1000
C2×Dic3⋊F5Direct product of C2 and Dic3⋊F5120C2xDic3:F5480,1001
S3×C22.F5Direct product of S3 and C22.F51208-S3xC2^2.F5480,1004
D152M4(2)The semidirect product of D15 and M4(2) acting via M4(2)/C22=C41208+D15:2M4(2)480,1007
C5×A4⋊Q8Direct product of C5 and A4⋊Q81206C5xA4:Q8480,1013
C10×A4⋊C4Direct product of C10 and A4⋊C4120C10xA4:C4480,1022
C20.1S41st non-split extension by C20 of S4 acting via S4/A4=C21206-C20.1S4480,1024
C2×A4⋊Dic5Direct product of C2 and A4⋊Dic5120C2xA4:Dic5480,1033
A4×Dic10Direct product of A4 and Dic101206-A4xDic10480,1035
Dic10.A4The non-split extension by Dic10 of A4 acting through Inn(Dic10)1204+Dic10.A4480,1041
C2×A4×Dic5Direct product of C2, A4 and Dic5120C2xA4xDic5480,1044
C3×D5⋊M4(2)Direct product of C3 and D5⋊M4(2)1204C3xD5:M4(2)480,1049
F5×C2×C12Direct product of C2×C12 and F5120F5xC2xC12480,1050
C6×C4⋊F5Direct product of C6 and C4⋊F5120C6xC4:F5480,1051
C3×D10.C23Direct product of C3 and D10.C231204C3xD10.C2^3480,1052
C3×Q8×F5Direct product of C3, Q8 and F51208C3xQ8xF5480,1056
C6×C22⋊F5Direct product of C6 and C22⋊F5120C6xC2^2:F5480,1059
C60.59(C2×C4)13rd non-split extension by C60 of C2×C4 acting via C2×C4/C2=C41204C60.59(C2xC4)480,1062
C2×C4×C3⋊F5Direct product of C2×C4 and C3⋊F5120C2xC4xC3:F5480,1063
C2×C60⋊C4Direct product of C2 and C60⋊C4120C2xC60:C4480,1064
(C2×C12)⋊6F54th semidirect product of C2×C12 and F5 acting via F5/D5=C21204(C2xC12):6F5480,1065
Q8×C3⋊F5Direct product of Q8 and C3⋊F51208Q8xC3:F5480,1069
C2×D10.D6Direct product of C2 and D10.D6120C2xD10.D6480,1072
S3×C2×C4×D5Direct product of C2×C4, S3 and D5120S3xC2xC4xD5480,1086
C2×D5×D12Direct product of C2, D5 and D12120C2xD5xD12480,1087
C2×S3×D20Direct product of C2, S3 and D20120C2xS3xD20480,1088
C2×C20⋊D6Direct product of C2 and C20⋊D6120C2xC20:D6480,1089
D5×C4○D12Direct product of D5 and C4○D121204D5xC4oD12480,1090
S3×C4○D20Direct product of S3 and C4○D201204S3xC4oD20480,1091
D2024D67th semidirect product of D20 and D6 acting via D6/C6=C21204D20:24D6480,1092
D2025D68th semidirect product of D20 and D6 acting via D6/C6=C21204D20:25D6480,1093
D2026D69th semidirect product of D20 and D6 acting via D6/C6=C21204D20:26D6480,1094
D2029D63rd semidirect product of D20 and D6 acting through Inn(D20)1204+D20:29D6480,1095
D5×D42S3Direct product of D5 and D42S31208-D5xD4:2S3480,1098
S3×D42D5Direct product of S3 and D42D51208-S3xD4:2D5480,1099
D30.C2313rd non-split extension by D30 of C23 acting via C23/C2=C221208+D30.C2^3480,1100
D2013D67th semidirect product of D20 and D6 acting via D6/S3=C21208-D20:13D6480,1101
D2014D68th semidirect product of D20 and D6 acting via D6/S3=C21208+D20:14D6480,1102
D1214D108th semidirect product of D12 and D10 acting via D10/D5=C21208+D12:14D10480,1103
S3×Q8×D5Direct product of S3, Q8 and D51208-S3xQ8xD5480,1107
D5×Q83S3Direct product of D5 and Q83S31208+D5xQ8:3S3480,1108
S3×Q82D5Direct product of S3 and Q82D51208+S3xQ8:2D5480,1109
D2016D610th semidirect product of D20 and D6 acting via D6/S3=C21208-D20:16D6480,1110
D2017D611st semidirect product of D20 and D6 acting via D6/S3=C21208+D20:17D6480,1111
C2×D5×C3⋊D4Direct product of C2, D5 and C3⋊D4120C2xD5xC3:D4480,1122
C2×S3×C5⋊D4Direct product of C2, S3 and C5⋊D4120C2xS3xC5:D4480,1123
C2×D10⋊D6Direct product of C2 and D10⋊D6120C2xD10:D6480,1124
C15⋊2+ 1+4The semidirect product of C15 and 2+ 1+4 acting via 2+ 1+4/C23=C221204C15:ES+(2,2)480,1125
A4×C2×C20Direct product of C2×C20 and A4120A4xC2xC20480,1126
C5×Q8×A4Direct product of C5, Q8 and A41206C5xQ8xA4480,1129
C5×Q8.A4Direct product of C5 and Q8.A41204C5xQ8.A4480,1131
C5×Q8⋊A4Direct product of C5 and Q8⋊A41206C5xQ8:A4480,1133
C6×D4×D5Direct product of C6, D4 and D5120C6xD4xD5480,1139
C3×D46D10Direct product of C3 and D46D101204C3xD4:6D10480,1141
C3×D5×C4○D4Direct product of C3, D5 and C4○D41204C3xD5xC4oD4480,1145
C3×D48D10Direct product of C3 and D48D101204C3xD4:8D10480,1146
S3×D4×C10Direct product of C10, S3 and D4120S3xD4xC10480,1154
C5×D46D6Direct product of C5 and D46D61204C5xD4:6D6480,1156
C5×S3×C4○D4Direct product of C5, S3 and C4○D41204C5xS3xC4oD4480,1160
C5×D4○D12Direct product of C5 and D4○D121204C5xD4oD12480,1161
C2×D4×D15Direct product of C2, D4 and D15120C2xD4xD15480,1169
D46D302nd semidirect product of D4 and D30 acting through Inn(D4)1204D4:6D30480,1171
C4○D4×D15Direct product of C4○D4 and D151204C4oD4xD15480,1175
D48D304th semidirect product of D4 and D30 acting through Inn(D4)1204+D4:8D30480,1176
C15×2+ 1+4Direct product of C15 and 2+ 1+41204C15xES+(2,2)480,1184
F5×C22×C6Direct product of C22×C6 and F5120F5xC2^2xC6480,1205
C23×C3⋊F5Direct product of C23 and C3⋊F5120C2^3xC3:F5480,1206
S3×C23×D5Direct product of C23, S3 and D5120S3xC2^3xD5480,1207
A4×C22×C10Direct product of C22×C10 and A4120A4xC2^2xC10480,1208
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