Extensions 1→N→G→Q→1 with N=A₄×Dic₅ and Q=C₂

Direct product G=N×Q with N=A₄×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×A₄×Dic₅		120		C2xA4xDic5	480,1044

Semidirect products G=N:Q with N=A₄×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×Dic₅)⋊₁C₂ = Dic₅×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	60	6-	(A4xDic5):1C2	480,976
(A₄×Dic₅)⋊₂C₂ = Dic₅⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	60	6	(A4xDic5):2C2	480,977
(A₄×Dic₅)⋊₃C₂ = Dic₅⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	60	6	(A4xDic5):3C2	480,978
(A₄×Dic₅)⋊₄C₂ = A₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	60	6	(A4xDic5):4C2	480,1045
(A₄×Dic₅)⋊₅C₂ = C₄×D₅×A₄	φ: trivial image	60	6	(A4xDic5):5C2	480,1036

Non-split extensions G=N.Q with N=A₄×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×Dic₅).₁C₂ = A₄⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	120	6-	(A4xDic5).1C2	480,975
(A₄×Dic₅).₂C₂ = A₄×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	120	6-	(A4xDic5).2C2	480,1035
(A₄×Dic₅).₃C₂ = Dic₅.S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	120	12-	(A4xDic5).3C2	480,963
(A₄×Dic₅).₄C₂ = A₄×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out A₄×Dic₅	120	12-	(A4xDic5).4C2	480,966

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