Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×Q₈

Direct product G=N×Q with N=C₂² and Q=C₂×Q₈

		d	ρ	Label	ID
Q₈×C₂³		64		Q8xC2^3	64,262

Semidirect products G=N:Q with N=C₂² and Q=C₂×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×Q₈) = C₂×C₂²⋊Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2:1(C2xQ8)	64,204
C₂²⋊₂(C₂×Q₈) = D₄×Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₂²	32		C2^2:2(C2xQ8)	64,230

Non-split extensions G=N.Q with N=C₂² and Q=C₂×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×Q₈) = C₂×C₈.C₄	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.1(C2xQ8)	64,110
C₂².₂(C₂×Q₈) = M₄(2).C₄	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.2(C2xQ8)	64,111
C₂².₃(C₂×Q₈) = C₂³.₃₇C₂³	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.3(C2xQ8)	64,214
C₂².₄(C₂×Q₈) = C₂³⋊₂Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂²	16		C2^2.4(C2xQ8)	64,224
C₂².₅(C₂×Q₈) = C₂³.₄₁C₂³	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.5(C2xQ8)	64,225
C₂².₆(C₂×Q₈) = D₄⋊₃Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₂²	32		C2^2.6(C2xQ8)	64,235
C₂².₇(C₂×Q₈) = C₂×C₂.C₄²	central extension (φ=1)	64		C2^2.7(C2xQ8)	64,56
C₂².₈(C₂×Q₈) = C₄×C₄⋊C₄	central extension (φ=1)	64		C2^2.8(C2xQ8)	64,59
C₂².₉(C₂×Q₈) = C₂³.₇Q₈	central extension (φ=1)	32		C2^2.9(C2xQ8)	64,61
C₂².₁₀(C₂×Q₈) = C₄²⋊₈C₄	central extension (φ=1)	64		C2^2.10(C2xQ8)	64,63
C₂².₁₁(C₂×Q₈) = C₄²⋊₉C₄	central extension (φ=1)	64		C2^2.11(C2xQ8)	64,65
C₂².₁₂(C₂×Q₈) = C₂³.₈Q₈	central extension (φ=1)	32		C2^2.12(C2xQ8)	64,66
C₂².₁₃(C₂×Q₈) = C₂³.₆₃C₂³	central extension (φ=1)	64		C2^2.13(C2xQ8)	64,68
C₂².₁₄(C₂×Q₈) = C₂³.₆₅C₂³	central extension (φ=1)	64		C2^2.14(C2xQ8)	64,70
C₂².₁₅(C₂×Q₈) = C₂³.₆₇C₂³	central extension (φ=1)	64		C2^2.15(C2xQ8)	64,72
C₂².₁₆(C₂×Q₈) = C₂²×C₄⋊C₄	central extension (φ=1)	64		C2^2.16(C2xQ8)	64,194
C₂².₁₇(C₂×Q₈) = C₂×C₄×Q₈	central extension (φ=1)	64		C2^2.17(C2xQ8)	64,197
C₂².₁₈(C₂×Q₈) = C₂×C₄².C₂	central extension (φ=1)	64		C2^2.18(C2xQ8)	64,208
C₂².₁₉(C₂×Q₈) = C₂×C₄⋊Q₈	central extension (φ=1)	64		C2^2.19(C2xQ8)	64,212
C₂².₂₀(C₂×Q₈) = C₂³⋊Q₈	central stem extension (φ=1)	32		C2^2.20(C2xQ8)	64,74
C₂².₂₁(C₂×Q₈) = C₂³.₇₈C₂³	central stem extension (φ=1)	64		C2^2.21(C2xQ8)	64,76
C₂².₂₂(C₂×Q₈) = C₂³.Q₈	central stem extension (φ=1)	32		C2^2.22(C2xQ8)	64,77
C₂².₂₃(C₂×Q₈) = C₂³.₈₁C₂³	central stem extension (φ=1)	64		C2^2.23(C2xQ8)	64,79
C₂².₂₄(C₂×Q₈) = C₂³.₄Q₈	central stem extension (φ=1)	32		C2^2.24(C2xQ8)	64,80
C₂².₂₅(C₂×Q₈) = C₂³.₈₃C₂³	central stem extension (φ=1)	64		C2^2.25(C2xQ8)	64,81

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×Q8

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×Q₈