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

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

		d	ρ	Label	ID
C₂×C₈²		128		C2xC8^2	128,179

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₈ = C₄².₂₀D₄	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₈	64		(C2xC8):1C8	128,7
(C₂×C₈)⋊₂C₈ = C₄².₂Q₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₈	64		(C2xC8):2C8	128,13
(C₂×C₈)⋊₃C₈ = C₂.C₈²	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8):3C8	128,5
(C₂×C₈)⋊₄C₈ = C₄².₃₈₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8):4C8	128,9
(C₂×C₈)⋊₅C₈ = C₂×C₈⋊₁C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8):5C8	128,295
(C₂×C₈)⋊₆C₈ = C₄².₄₂Q₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8):6C8	128,296
(C₂×C₈)⋊₇C₈ = C₂×C₈⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8):7C8	128,294
(C₂×C₈)⋊₈C₈ = C₂×C₈⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8):8C8	128,180
(C₂×C₈)⋊₉C₈ = C₈²⋊C₂	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8):9C8	128,182

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₈ = C₄².₂C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₈	32		(C2xC8).1C8	128,107
(C₂×C₈).₂C₈ = M₅(2)⋊C₄	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₈	64		(C2xC8).2C8	128,109
(C₂×C₈).₃C₈ = C₃₂⋊C₄	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₈	32	4	(C2xC8).3C8	128,130
(C₂×C₈).₄C₈ = C₂³.C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₂×C₈	32	4	(C2xC8).4C8	128,132
(C₂×C₈).₅C₈ = C₁₆⋊₅C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).5C8	128,43
(C₂×C₈).₆C₈ = C₈⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).6C8	128,44
(C₂×C₈).₇C₈ = C₈⋊₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).7C8	128,99
(C₂×C₈).₈C₈ = C₈.₃₆D₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).8C8	128,102
(C₂×C₈).₉C₈ = C₂².₇M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).9C8	128,106
(C₂×C₈).₁₀C₈ = C₄².₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).10C8	128,108
(C₂×C₈).₁₁C₈ = C₂²⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).11C8	128,131
(C₂×C₈).₁₂C₈ = C₄⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).12C8	128,153
(C₂×C₈).₁₃C₈ = C₈.C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	32	2	(C2xC8).13C8	128,154
(C₂×C₈).₁₄C₈ = C₂×C₈.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	32		(C2xC8).14C8	128,884
(C₂×C₈).₁₅C₈ = C₃₂⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).15C8	128,129
(C₂×C₈).₁₆C₈ = M₇(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	64	2	(C2xC8).16C8	128,160
(C₂×C₈).₁₇C₈ = C₂×C₁₆⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	128		(C2xC8).17C8	128,838
(C₂×C₈).₁₈C₈ = C₄×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).18C8	128,839
(C₂×C₈).₁₉C₈ = C₂×M₆(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂×C₈	64		(C2xC8).19C8	128,989

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