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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁C₄ = C₂³.₁D₁₀	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₅	40	4	(C2xDic5):1C4	160,13
(C₂×Dic₅)⋊₂C₄ = C₂³⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₅	40	4	(C2xDic5):2C4	160,86
(C₂×Dic₅)⋊₃C₄ = C₁₀.₁₀C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5):3C4	160,38
(C₂×Dic₅)⋊₄C₄ = C₂³.₁₁D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5):4C4	160,98
(C₂×Dic₅)⋊₅C₄ = C₂×C₁₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5):5C4	160,144
(C₂×Dic₅)⋊₆C₄ = D₁₀.₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):6C4	160,81
(C₂×Dic₅)⋊₇C₄ = C₂×C₄×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):7C4	160,203
(C₂×Dic₅)⋊₈C₄ = C₂×C₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	40		(C2xDic5):8C4	160,204
(C₂×Dic₅)⋊₉C₄ = D₁₀.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5):9C4	160,205

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁C₄ = C₄.₁₂D₂₀	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₅	80	4-	(C2xDic5).1C4	160,31
(C₂×Dic₅).₂C₄ = Dic₅.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₅	80	4-	(C2xDic5).2C4	160,80
(C₂×Dic₅).₃C₄ = C₂₀.₈Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).3C4	160,21
(C₂×Dic₅).₄C₄ = C₄₀⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).4C4	160,22
(C₂×Dic₅).₅C₄ = D₁₀⋊₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).5C4	160,27
(C₂×Dic₅).₆C₄ = C₂×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).6C4	160,121
(C₂×Dic₅).₇C₄ = D₅×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	40	4	(C2xDic5).7C4	160,127
(C₂×Dic₅).₈C₄ = C₄×C₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).8C4	160,75
(C₂×Dic₅).₉C₄ = C₂₀⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).9C4	160,76
(C₂×Dic₅).₁₀C₄ = C₁₀.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).10C4	160,77
(C₂×Dic₅).₁₁C₄ = Dic₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).11C4	160,79
(C₂×Dic₅).₁₂C₄ = C₂³.₂F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).12C4	160,87
(C₂×Dic₅).₁₃C₄ = C₂²×C₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	160		(C2xDic5).13C4	160,210
(C₂×Dic₅).₁₄C₄ = C₂×C₂².F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₅	80		(C2xDic5).14C4	160,211
(C₂×Dic₅).₁₅C₄ = C₈×Dic₅	φ: trivial image	160		(C2xDic5).15C4	160,20
(C₂×Dic₅).₁₆C₄ = D₅×C₂×C₈	φ: trivial image	80		(C2xDic5).16C4	160,120

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