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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Q₈)⋊₁C₂ = C₂³⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):1C2	64,74
(C₂²×Q₈)⋊₂C₂ = Q₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):2C2	64,129
(C₂²×Q₈)⋊₃C₂ = C₂×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):3C2	64,204
(C₂²×Q₈)⋊₄C₂ = C₂×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):4C2	64,207
(C₂²×Q₈)⋊₅C₂ = C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):5C2	64,217
(C₂²×Q₈)⋊₆C₂ = Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):6C2	64,229
(C₂²×Q₈)⋊₇C₂ = D₄×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):7C2	64,230
(C₂²×Q₈)⋊₈C₂ = C₂²×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):8C2	64,251
(C₂²×Q₈)⋊₉C₂ = C₂×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):9C2	64,255
(C₂²×Q₈)⋊₁₀C₂ = C₂×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8):10C2	64,265
(C₂²×Q₈)⋊₁₁C₂ = C₂²×C₄○D₄	φ: trivial image	32		(C2^2xQ8):11C2	64,263

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Q₈).₁C₂ = C₂³.₆₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	64		(C2^2xQ8).1C2	64,72
(C₂²×Q₈).₂C₂ = C₂³.₇₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	64		(C2^2xQ8).2C2	64,76
(C₂²×Q₈).₃C₂ = C₂×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8).3C2	64,93
(C₂²×Q₈).₄C₂ = C₂×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	64		(C2^2xQ8).4C2	64,96
(C₂²×Q₈).₅C₂ = C₂³.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8).5C2	64,100
(C₂²×Q₈).₆C₂ = C₂²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8).6C2	64,132
(C₂²×Q₈).₇C₂ = C₂³.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	32		(C2^2xQ8).7C2	64,200
(C₂²×Q₈).₈C₂ = C₂×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	64		(C2^2xQ8).8C2	64,212
(C₂²×Q₈).₉C₂ = C₂²×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Q₈	64		(C2^2xQ8).9C2	64,252
(C₂²×Q₈).₁₀C₂ = C₂×C₄×Q₈	φ: trivial image	64		(C2^2xQ8).10C2	64,197

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