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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₄ = C₄.₉C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₈	16	4	(C2xC8):1C4	64,18
(C₂×C₈)⋊₂C₄ = M₄(2)⋊₄C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₈	16	4	(C2xC8):2C4	64,25
(C₂×C₈)⋊₃C₄ = C₂².₇C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8):3C4	64,17
(C₂×C₈)⋊₄C₄ = C₂².₄Q₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8):4C4	64,21
(C₂×C₈)⋊₅C₄ = C₂×C₂.D₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8):5C4	64,107
(C₂×C₈)⋊₆C₄ = C₂³.₂₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8):6C4	64,108
(C₂×C₈)⋊₇C₄ = C₂×C₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8):7C4	64,106
(C₂×C₈)⋊₈C₄ = C₂×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8):8C4	64,84
(C₂×C₈)⋊₉C₄ = C₈○₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8):9C4	64,86

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₄ = C₄.₁₀C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₈	16	4	(C2xC8).1C4	64,19
(C₂×C₈).₂C₄ = C₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₈	16	4	(C2xC8).2C4	64,28
(C₂×C₈).₃C₄ = C₂³.C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₈	16	4	(C2xC8).3C4	64,30
(C₂×C₈).₄C₄ = C₈⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).4C4	64,3
(C₂×C₈).₅C₄ = C₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).5C4	64,22
(C₂×C₈).₆C₄ = C₂²⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).6C4	64,29
(C₂×C₈).₇C₄ = C₄⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).7C4	64,44
(C₂×C₈).₈C₄ = C₈⋊₁C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).8C4	64,16
(C₂×C₈).₉C₄ = C₈.C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	16	2	(C2xC8).9C4	64,45
(C₂×C₈).₁₀C₄ = C₂×C₈.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).10C4	64,110
(C₂×C₈).₁₁C₄ = C₈⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).11C4	64,15
(C₂×C₈).₁₂C₄ = C₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).12C4	64,27
(C₂×C₈).₁₃C₄ = M₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	32	2	(C2xC8).13C4	64,51
(C₂×C₈).₁₄C₄ = C₂×M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).14C4	64,184

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