Extensions 1→N→G→Q→1 with N=C₂²×C₈ and Q=C₂

Direct product G=N×Q with N=C₂²×C₈ and Q=C₂

		d	ρ	Label	ID
C₂³×C₈		64		C2^3xC8	64,246

Semidirect products G=N:Q with N=C₂²×C₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₈)⋊₁C₂ = C₂×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):1C2	64,87
(C₂²×C₈)⋊₂C₂ = (C₂²×C₈)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):2C2	64,89
(C₂²×C₈)⋊₃C₂ = C₂×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):3C2	64,95
(C₂²×C₈)⋊₄C₂ = C₂³.₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):4C2	64,97
(C₂²×C₈)⋊₅C₂ = C₈×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):5C2	64,115
(C₂²×C₈)⋊₆C₂ = C₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):6C2	64,147
(C₂²×C₈)⋊₇C₂ = C₂²×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):7C2	64,250
(C₂²×C₈)⋊₈C₂ = C₂×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):8C2	64,253
(C₂²×C₈)⋊₉C₂ = C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):9C2	64,146
(C₂²×C₈)⋊₁₀C₂ = C₂²×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):10C2	64,251
(C₂²×C₈)⋊₁₁C₂ = C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):11C2	64,116
(C₂²×C₈)⋊₁₂C₂ = C₂²×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):12C2	64,247
(C₂²×C₈)⋊₁₃C₂ = C₂×C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8):13C2	64,248

Non-split extensions G=N.Q with N=C₂²×C₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₈).₁C₂ = C₂².₇C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).1C2	64,17
(C₂²×C₈).₂C₂ = C₂².₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).2C2	64,21
(C₂²×C₈).₃C₂ = C₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).3C2	64,22
(C₂²×C₈).₄C₂ = C₂²⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).4C2	64,29
(C₂²×C₈).₅C₂ = C₂×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).5C2	64,96
(C₂²×C₈).₆C₂ = C₂×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).6C2	64,103
(C₂²×C₈).₇C₂ = C₄².₆C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).7C2	64,105
(C₂²×C₈).₈C₂ = C₂×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).8C2	64,107
(C₂²×C₈).₉C₂ = C₈.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).9C2	64,148
(C₂²×C₈).₁₀C₂ = C₂²×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).10C2	64,252
(C₂²×C₈).₁₁C₂ = C₂³.₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).11C2	64,108
(C₂²×C₈).₁₂C₂ = C₂×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).12C2	64,110
(C₂²×C₈).₁₃C₂ = C₂×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).13C2	64,106
(C₂²×C₈).₁₄C₂ = C₂×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	64		(C2^2xC8).14C2	64,84
(C₂²×C₈).₁₅C₂ = C₈○₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).15C2	64,86
(C₂²×C₈).₁₆C₂ = C₂×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₈	32		(C2^2xC8).16C2	64,184

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