Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=C₂₀

Direct product G=N×Q with N=C₂×C₈ and Q=C₂₀

		d	ρ	Label	ID
C₂×C₄×C₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₂×C₈ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₂₀ = C₅×C₄.₉C₄²	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8):1C20	320,142
(C₂×C₈)⋊₂C₂₀ = C₅×M₄(2)⋊₄C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8):2C20	320,149
(C₂×C₈)⋊₃C₂₀ = C₅×C₂².₇C₄²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):3C20	320,141
(C₂×C₈)⋊₄C₂₀ = C₅×C₂².₄Q₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):4C20	320,145
(C₂×C₈)⋊₅C₂₀ = C₁₀×C₂.D₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):5C20	320,927
(C₂×C₈)⋊₆C₂₀ = C₅×C₂³.₂₅D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8):6C20	320,928
(C₂×C₈)⋊₇C₂₀ = C₁₀×C₄.Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):7C20	320,926
(C₂×C₈)⋊₈C₂₀ = C₁₀×C₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8):8C20	320,904
(C₂×C₈)⋊₉C₂₀ = C₅×C₈○₂M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8):9C20	320,906

Non-split extensions G=N.Q with N=C₂×C₈ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₂₀ = C₅×C₄.₁₀C₄²	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8).1C20	320,143
(C₂×C₈).₂C₂₀ = C₅×C₁₆⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8).2C20	320,152
(C₂×C₈).₃C₂₀ = C₅×C₂³.C₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂×C₈	80	4	(C2xC8).3C20	320,154
(C₂×C₈).₄C₂₀ = C₅×C₈⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).4C20	320,127
(C₂×C₈).₅C₂₀ = C₅×C₄.C₄²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).5C20	320,146
(C₂×C₈).₆C₂₀ = C₅×C₂²⋊C₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).6C20	320,153
(C₂×C₈).₇C₂₀ = C₅×C₄⋊C₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).7C20	320,168
(C₂×C₈).₈C₂₀ = C₅×C₈⋊₁C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).8C20	320,140
(C₂×C₈).₉C₂₀ = C₅×C₈.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8).9C20	320,169
(C₂×C₈).₁₀C₂₀ = C₅×C₈⋊₂C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).10C20	320,139
(C₂×C₈).₁₁C₂₀ = C₁₀×C₈.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).11C20	320,930
(C₂×C₈).₁₂C₂₀ = C₅×C₁₆⋊₅C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	320		(C2xC8).12C20	320,151
(C₂×C₈).₁₃C₂₀ = C₅×M₆(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	160	2	(C2xC8).13C20	320,175
(C₂×C₈).₁₄C₂₀ = C₁₀×M₅(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).14C20	320,1004

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