Extensions 1→N→G→Q→1 with N=C₄×C₈ and Q=C₂

Direct product G=N×Q with N=C₄×C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₈		64		C2xC4xC8	64,83

Semidirect products G=N:Q with N=C₄×C₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈)⋊₁C₂ = D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):1C2	64,6
(C₄×C₈)⋊₂C₂ = C₄².₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):2C2	64,112
(C₄×C₈)⋊₃C₂ = C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):3C2	64,114
(C₄×C₈)⋊₄C₂ = C₈×D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):4C2	64,115
(C₄×C₈)⋊₅C₂ = C₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):5C2	64,167
(C₄×C₈)⋊₆C₂ = C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):6C2	64,169
(C₄×C₈)⋊₇C₂ = C₄×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):7C2	64,118
(C₄×C₈)⋊₈C₂ = C₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):8C2	64,174
(C₄×C₈)⋊₉C₂ = C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):9C2	64,176
(C₄×C₈)⋊₁₀C₂ = C₈○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	16	2	(C4xC8):10C2	64,124
(C₄×C₈)⋊₁₁C₂ = C₄×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):11C2	64,119
(C₄×C₈)⋊₁₂C₂ = C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):12C2	64,173
(C₄×C₈)⋊₁₃C₂ = C₄×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):13C2	64,85
(C₄×C₈)⋊₁₄C₂ = C₈○₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):14C2	64,86
(C₄×C₈)⋊₁₅C₂ = C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	32		(C4xC8):15C2	64,117

Non-split extensions G=N.Q with N=C₄×C₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₈).₁C₂ = Q₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).1C2	64,7
(C₄×C₈).₂C₂ = C₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).2C2	64,44
(C₄×C₈).₃C₂ = C₈×Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).3C2	64,126
(C₄×C₈).₄C₂ = C₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).4C2	64,168
(C₄×C₈).₅C₂ = C₈⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).5C2	64,16
(C₄×C₈).₆C₂ = C₄×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).6C2	64,120
(C₄×C₈).₇C₂ = C₄⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).7C2	64,175
(C₄×C₈).₈C₂ = C₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).8C2	64,181
(C₄×C₈).₉C₂ = C₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).9C2	64,180
(C₄×C₈).₁₀C₂ = C₈.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	16	2	(C4xC8).10C2	64,45
(C₄×C₈).₁₁C₂ = C₈⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).11C2	64,15
(C₄×C₈).₁₂C₂ = C₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).12C2	64,179
(C₄×C₈).₁₃C₂ = C₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).13C2	64,3
(C₄×C₈).₁₄C₂ = C₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).14C2	64,27
(C₄×C₈).₁₅C₂ = C₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₈	64		(C4xC8).15C2	64,127

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