Extensions 1→N→G→Q→1 with N=C₂×Dic₅ and Q=C₈

Direct product G=N×Q with N=C₂×Dic₅ and Q=C₈

		d	ρ	Label	ID
C₂×C₈×Dic₅		320		C2xC8xDic5	320,725

Semidirect products G=N:Q with N=C₂×Dic₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁C₈ = (C₂×Dic₅)⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out C₂×Dic₅	160		(C2xDic5):1C8	320,27
(C₂×Dic₅)⋊₂C₈ = (C₂²×C₄).F₅	φ: C₈/C₂ → C₄ ⊆ Out C₂×Dic₅	160		(C2xDic5):2C8	320,252
(C₂×Dic₅)⋊₃C₈ = (C₂×C₄₀)⋊₁₅C₄	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5):3C8	320,108
(C₂×Dic₅)⋊₄C₈ = Dic₅.₁₄M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5):4C8	320,345
(C₂×Dic₅)⋊₅C₈ = C₂×C₂₀.₈Q₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5):5C8	320,726
(C₂×Dic₅)⋊₆C₈ = C₁₀.(C₄⋊C₈)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5):6C8	320,256
(C₂×Dic₅)⋊₇C₈ = C₂×C₄×C₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5):7C8	320,1084
(C₂×Dic₅)⋊₈C₈ = C₂×Dic₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5):8C8	320,1090
(C₂×Dic₅)⋊₉C₈ = C₂₀.₃₄M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5):9C8	320,1092

Non-split extensions G=N.Q with N=C₂×Dic₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁C₈ = C₈.₂₅D₂₀	φ: C₈/C₂ → C₄ ⊆ Out C₂×Dic₅	80	4	(C2xDic5).1C8	320,72
(C₂×Dic₅).₂C₈ = C₂₀.₁₀M₄(2)	φ: C₈/C₂ → C₄ ⊆ Out C₂×Dic₅	80	4	(C2xDic5).2C8	320,229
(C₂×Dic₅).₃C₈ = C₄₀.₈₈D₄	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5).3C8	320,59
(C₂×Dic₅).₄C₈ = C₈₀⋊₁₇C₄	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5).4C8	320,60
(C₂×Dic₅).₅C₈ = D₁₀⋊₁C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).5C8	320,65
(C₂×Dic₅).₆C₈ = C₂×C₈₀⋊C₂	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).6C8	320,527
(C₂×Dic₅).₇C₈ = D₅×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	80	4	(C2xDic5).7C8	320,533
(C₂×Dic₅).₈C₈ = Dic₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5).8C8	320,223
(C₂×Dic₅).₉C₈ = C₄₀.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5).9C8	320,224
(C₂×Dic₅).₁₀C₈ = D₁₀⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).10C8	320,225
(C₂×Dic₅).₁₁C₈ = C₁₀.M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	320		(C2xDic5).11C8	320,226
(C₂×Dic₅).₁₂C₈ = C₂×D₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).12C8	320,1051
(C₂×Dic₅).₁₃C₈ = C₂×C₈.F₅	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).13C8	320,1052
(C₂×Dic₅).₁₄C₈ = D₅⋊M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂×Dic₅	80	4	(C2xDic5).14C8	320,1053
(C₂×Dic₅).₁₅C₈ = C₁₆×Dic₅	φ: trivial image	320		(C2xDic5).15C8	320,58
(C₂×Dic₅).₁₆C₈ = D₅×C₂×C₁₆	φ: trivial image	160		(C2xDic5).16C8	320,526

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