Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃xQ₈

Direct product G=NxQ with N=C₂³ and Q=C₃xQ₈

		d	ρ	Label	ID
Q₈xC₂²xC₆		192		Q8xC2^2xC6	192,1532

Semidirect products G=N:Q with N=C₂³ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:₁(C₃xQ₈) = C₃xC₂³:Q₈	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂³	96		C2^3:1(C3xQ8)	192,826
C₂³:₂(C₃xQ₈) = C₃xC₂³:₂Q₈	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂³	48		C2^3:2(C3xQ8)	192,1432
C₂³:₃(C₃xQ₈) = C₂xQ₈xA₄	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₂³	48		C2^3:3(C3xQ8)	192,1499
C₂³:₄(C₃xQ₈) = C₆xC₂²:Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3:4(C3xQ8)	192,1412

Non-split extensions G=N.Q with N=C₂³ and Q=C₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₃xQ₈) = C₃xC₄.₁₀C₄²	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.1(C3xQ8)	192,144
C₂³.₂(C₃xQ₈) = C₃xC₂³.₉D₄	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂³	48		C2^3.2(C3xQ8)	192,148
C₂³.₃(C₃xQ₈) = C₃xC₂³.Q₈	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.3(C3xQ8)	192,829
C₂³.₄(C₃xQ₈) = C₃xC₂³.₄Q₈	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂³	96		C2^3.4(C3xQ8)	192,832
C₂³.₅(C₃xQ₈) = C₃xM₄(2).C₄	φ: C₃xQ₈/C₆ → C₂² ⊆ Aut C₂³	48	4	C2^3.5(C3xQ8)	192,863
C₂³.₆(C₃xQ₈) = A₄xC₄:C₄	φ: C₃xQ₈/Q₈ → C₃ ⊆ Aut C₂³	48		C2^3.6(C3xQ8)	192,995
C₂³.₇(C₃xQ₈) = C₃xC₄.C₄²	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.7(C3xQ8)	192,147
C₂³.₈(C₃xQ₈) = C₃xC₂³.₇Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.8(C3xQ8)	192,813
C₂³.₉(C₃xQ₈) = C₃xC₂³.₈Q₈	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.9(C3xQ8)	192,818
C₂³.₁₀(C₃xQ₈) = C₆xC₈.C₄	φ: C₃xQ₈/C₁₂ → C₂ ⊆ Aut C₂³	96		C2^3.10(C3xQ8)	192,862
C₂³.₁₁(C₃xQ₈) = C₆xC₂.C₄²	central extension (φ=1)	192		C2^3.11(C3xQ8)	192,808
C₂³.₁₂(C₃xQ₈) = C₂xC₆xC₄:C₄	central extension (φ=1)	192		C2^3.12(C3xQ8)	192,1402

׿

x

:

Z

F

o

wr

Q

<