Extensions 1→N→G→Q→1 with N=C₂²×C₅⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂²×C₅⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂³×C₅⋊C₈		320		C2^3xC5:C8	320,1605

Semidirect products G=N:Q with N=C₂²×C₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₅⋊C₈)⋊₁C₂ = C₅⋊C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):1C2	320,1030
(C₂²×C₅⋊C₈)⋊₂C₂ = C₅⋊C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):2C2	320,1031
(C₂²×C₅⋊C₈)⋊₃C₂ = C₂×D₁₀⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):3C2	320,1089
(C₂²×C₅⋊C₈)⋊₄C₂ = D₄×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):4C2	320,1110
(C₂²×C₅⋊C₈)⋊₅C₂ = C₅⋊C₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):5C2	320,1111
(C₂²×C₅⋊C₈)⋊₆C₂ = (C₂×D₄).₇F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):6C2	320,1113
(C₂²×C₅⋊C₈)⋊₇C₂ = C₂×C₂³.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):7C2	320,1135
(C₂²×C₅⋊C₈)⋊₈C₂ = C₂²×C₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):8C2	320,1588
(C₂²×C₅⋊C₈)⋊₉C₂ = C₂×D₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):9C2	320,1593
(C₂²×C₅⋊C₈)⋊₁₀C₂ = C₂²×C₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8):10C2	320,1606
(C₂²×C₅⋊C₈)⋊₁₁C₂ = C₂²×D₅⋊C₈	φ: trivial image	160		(C2^2xC5:C8):11C2	320,1587

Non-split extensions G=N.Q with N=C₂²×C₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₅⋊C₈).₁C₂ = C₁₀.(C₄⋊C₈)	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	320		(C2^2xC5:C8).1C2	320,256
(C₂²×C₅⋊C₈).₂C₂ = Dic₅.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8).2C2	320,1029
(C₂²×C₅⋊C₈).₃C₂ = C₂₀⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	160		(C2^2xC5:C8).3C2	320,1034
(C₂²×C₅⋊C₈).₄C₂ = C₂×C₂₀⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	320		(C2^2xC5:C8).4C2	320,1085
(C₂²×C₅⋊C₈).₅C₂ = C₂×C₁₀.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	320		(C2^2xC5:C8).5C2	320,1087
(C₂²×C₅⋊C₈).₆C₂ = C₂×Dic₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₅⋊C₈	320		(C2^2xC5:C8).6C2	320,1090
(C₂²×C₅⋊C₈).₇C₂ = C₂×C₄×C₅⋊C₈	φ: trivial image	320		(C2^2xC5:C8).7C2	320,1084

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