Extensions 1→N→G→Q→1 with N=C₂×C₄×F₅ and Q=C₂

Direct product G=N×Q with N=C₂×C₄×F₅ and Q=C₂

		d	ρ	Label	ID
C₂²×C₄×F₅		80		C2^2xC4xF5	320,1590

Semidirect products G=N:Q with N=C₂×C₄×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×F₅)⋊₁C₂ = C₂×D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5):1C2	320,1106
(C₂×C₄×F₅)⋊₂C₂ = C₂.(D₄×F₅)	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5):2C2	320,1118
(C₂×C₄×F₅)⋊₃C₂ = C₂×Q₈⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5):3C2	320,1121
(C₂×C₄×F₅)⋊₄C₂ = D₅⋊C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	40	8	(C2xC4xF5):4C2	320,1130
(C₂×C₄×F₅)⋊₅C₂ = C₂×D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	40		(C2xC4xF5):5C2	320,1595
(C₂×C₄×F₅)⋊₆C₂ = C₄○D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	40	8	(C2xC4xF5):6C2	320,1603
(C₂×C₄×F₅)⋊₇C₂ = C₂²⋊C₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	40		(C2xC4xF5):7C2	320,1036
(C₂×C₄×F₅)⋊₈C₂ = C₁₀.(C₄×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5):8C2	320,1038
(C₂×C₄×F₅)⋊₉C₂ = C₄×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5):9C2	320,1101
(C₂×C₄×F₅)⋊₁₀C₂ = C₂×D₁₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5):10C2	320,1592

Non-split extensions G=N.Q with N=C₂×C₄×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×F₅).₁C₂ = C₂₀.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).1C2	320,213
(C₂×C₄×F₅).₂C₂ = M₄(2)⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	40	8	(C2xC4xF5).2C2	320,238
(C₂×C₄×F₅).₃C₂ = C₂₀⋊(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).3C2	320,1050
(C₂×C₄×F₅).₄C₂ = M₄(2)×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	40	8	(C2xC4xF5).4C2	320,1064
(C₂×C₄×F₅).₅C₂ = (C₂×F₅)⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).5C2	320,1128
(C₂×C₄×F₅).₆C₂ = C₂×Q₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).6C2	320,1599
(C₂×C₄×F₅).₇C₂ = D₁₀.₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).7C2	320,230
(C₂×C₄×F₅).₈C₂ = C₄²⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).8C2	320,1024
(C₂×C₄×F₅).₉C₂ = C₄×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).9C2	320,1025
(C₂×C₄×F₅).₁₀C₂ = C₄⋊C₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).10C2	320,1048
(C₂×C₄×F₅).₁₁C₂ = C₄⋊C₄⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).11C2	320,1049
(C₂×C₄×F₅).₁₂C₂ = C₂×C₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×F₅	80		(C2xC4xF5).12C2	320,1055
(C₂×C₄×F₅).₁₃C₂ = C₄²×F₅	φ: trivial image	80		(C2xC4xF5).13C2	320,1023
(C₂×C₄×F₅).₁₄C₂ = C₂×C₈×F₅	φ: trivial image	80		(C2xC4xF5).14C2	320,1054

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