Extensions 1→N→G→Q→1 with N=C₄×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₄×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×Dic₅		160		C2xC4xDic5	160,143

Semidirect products G=N:Q with N=C₄×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₅)⋊₁C₂ = D₂₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	40	4	(C4xDic5):1C2	160,32
(C₄×Dic₅)⋊₂C₂ = D₄⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	40	4	(C4xDic5):2C2	160,44
(C₄×Dic₅)⋊₃C₂ = D₂₀⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):3C2	160,114
(C₄×Dic₅)⋊₄C₂ = D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):4C2	160,155
(C₄×Dic₅)⋊₅C₂ = C₂₀.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):5C2	160,157
(C₄×Dic₅)⋊₆C₂ = C₂₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):6C2	160,161
(C₄×Dic₅)⋊₇C₂ = C₂₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):7C2	160,168
(C₄×Dic₅)⋊₈C₂ = C₄²⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):8C2	160,93
(C₄×Dic₅)⋊₉C₂ = C₂³.₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):9C2	160,98
(C₄×Dic₅)⋊₁₀C₂ = C₂³.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):10C2	160,100
(C₄×Dic₅)⋊₁₁C₂ = Dic₅⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):11C2	160,102
(C₄×Dic₅)⋊₁₂C₂ = Dic₅.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):12C2	160,106
(C₄×Dic₅)⋊₁₃C₂ = C₄⋊C₄⋊₇D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):13C2	160,113
(C₄×Dic₅)⋊₁₄C₂ = C₄⋊C₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):14C2	160,119
(C₄×Dic₅)⋊₁₅C₂ = C₂³.₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):15C2	160,147
(C₄×Dic₅)⋊₁₆C₂ = C₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	80		(C4xDic5):16C2	160,149
(C₄×Dic₅)⋊₁₇C₂ = D₅×C₄²	φ: trivial image	80		(C4xDic5):17C2	160,92

Non-split extensions G=N.Q with N=C₄×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₅).₁C₂ = C₂₀⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).1C2	160,109
(C₄×Dic₅).₂C₂ = C₄.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).2C2	160,111
(C₄×Dic₅).₃C₂ = Dic₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).3C2	160,165
(C₄×Dic₅).₄C₂ = Q₈×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).4C2	160,166
(C₄×Dic₅).₅C₂ = C₂₀.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).5C2	160,21
(C₄×Dic₅).₆C₂ = C₄₀⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).6C2	160,22
(C₄×Dic₅).₇C₂ = C₁₀.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).7C2	160,77
(C₄×Dic₅).₈C₂ = Dic₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).8C2	160,79
(C₄×Dic₅).₉C₂ = C₄×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).9C2	160,89
(C₄×Dic₅).₁₀C₂ = Dic₅⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).10C2	160,108
(C₄×Dic₅).₁₁C₂ = Dic₅.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).11C2	160,110
(C₄×Dic₅).₁₂C₂ = C₂₀⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).12C2	160,76
(C₄×Dic₅).₁₃C₂ = C₄×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₅	160		(C4xDic5).13C2	160,75
(C₄×Dic₅).₁₄C₂ = C₈×Dic₅	φ: trivial image	160		(C4xDic5).14C2	160,20

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