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

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

		d	ρ	Label	ID
C₂²×C₈		32		C2^2xC8	32,36

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₂ = C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16		(C2xC8):1C2	32,5
(C₂×C₈)⋊₂C₂ = D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16		(C2xC8):2C2	32,9
(C₂×C₈)⋊₃C₂ = C₂×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16		(C2xC8):3C2	32,39
(C₂×C₈)⋊₄C₂ = C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16	2	(C2xC8):4C2	32,42
(C₂×C₈)⋊₅C₂ = C₂×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16		(C2xC8):5C2	32,40
(C₂×C₈)⋊₆C₂ = C₂×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16		(C2xC8):6C2	32,37
(C₂×C₈)⋊₇C₂ = C₈○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16	2	(C2xC8):7C2	32,38

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₂ = Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).1C2	32,10
(C₂×C₈).₂C₂ = C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).2C2	32,12
(C₂×C₈).₃C₂ = C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).3C2	32,14
(C₂×C₈).₄C₂ = C₂×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).4C2	32,41
(C₂×C₈).₅C₂ = C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16	2	(C2xC8).5C2	32,15
(C₂×C₈).₆C₂ = C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).6C2	32,13
(C₂×C₈).₇C₂ = C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).7C2	32,4
(C₂×C₈).₈C₂ = M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈	16	2	(C2xC8).8C2	32,17

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