Extensions 1→N→G→Q→1 with N=C₂²×Dic₅ and Q=C₆

Direct product G=N×Q with N=C₂²×Dic₅ and Q=C₆

		d	ρ	Label	ID
Dic₅×C₂²×C₆		480		Dic5xC2^2xC6	480,1148

Semidirect products G=N:Q with N=C₂²×Dic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₅)⋊C₆ = A₄×C₅⋊D₄	φ: C₆/C₁ → C₆ ⊆ Out C₂²×Dic₅	60	6	(C2^2xDic5):C6	480,1045
(C₂²×Dic₅)⋊₂C₆ = C₄×D₅×A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²×Dic₅	60	6	(C2^2xDic5):2C6	480,1036
(C₂²×Dic₅)⋊₃C₆ = C₂×A₄×Dic₅	φ: C₆/C₂ → C₃ ⊆ Out C₂²×Dic₅	120		(C2^2xDic5):3C6	480,1044
(C₂²×Dic₅)⋊₄C₆ = C₃×Dic₅⋊₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):4C6	480,674
(C₂²×Dic₅)⋊₅C₆ = C₃×C₂².D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):5C6	480,679
(C₂²×Dic₅)⋊₆C₆ = C₆×D₁₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):6C6	480,720
(C₂²×Dic₅)⋊₇C₆ = C₃×D₄×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):7C6	480,727
(C₂²×Dic₅)⋊₈C₆ = C₃×C₂³.₁₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):8C6	480,728
(C₂²×Dic₅)⋊₉C₆ = C₃×Dic₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):9C6	480,732
(C₂²×Dic₅)⋊₁₀C₆ = C₆×C₂³.D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):10C6	480,745
(C₂²×Dic₅)⋊₁₁C₆ = C₆×D₄⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):11C6	480,1140
(C₂²×Dic₅)⋊₁₂C₆ = C₂×C₆×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5):12C6	480,1149
(C₂²×Dic₅)⋊₁₃C₆ = D₅×C₂²×C₁₂	φ: trivial image	240		(C2^2xDic5):13C6	480,1136

Non-split extensions G=N.Q with N=C₂²×Dic₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₅).₁C₆ = A₄×Dic₁₀	φ: C₆/C₁ → C₆ ⊆ Out C₂²×Dic₅	120	6-	(C2^2xDic5).1C6	480,1035
(C₂²×Dic₅).₂C₆ = A₄×C₅⋊C₈	φ: C₆/C₁ → C₆ ⊆ Out C₂²×Dic₅	120	12-	(C2^2xDic5).2C6	480,966
(C₂²×Dic₅).₃C₆ = C₃×C₁₀.₁₀C₄²	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	480		(C2^2xDic5).3C6	480,109
(C₂²×Dic₅).₄C₆ = C₃×C₂³.₁₁D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5).4C6	480,670
(C₂²×Dic₅).₅C₆ = C₃×Dic₅.₁₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5).5C6	480,671
(C₂²×Dic₅).₆C₆ = C₆×C₁₀.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	480		(C2^2xDic5).6C6	480,716
(C₂²×Dic₅).₇C₆ = C₆×C₄⋊Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	480		(C2^2xDic5).7C6	480,718
(C₂²×Dic₅).₈C₆ = C₂×C₆×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	480		(C2^2xDic5).8C6	480,1135
(C₂²×Dic₅).₉C₆ = C₃×C₂³.₂F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5).9C6	480,292
(C₂²×Dic₅).₁₀C₆ = C₂×C₆×C₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	480		(C2^2xDic5).10C6	480,1057
(C₂²×Dic₅).₁₁C₆ = C₆×C₂².F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂²×Dic₅	240		(C2^2xDic5).11C6	480,1058
(C₂²×Dic₅).₁₂C₆ = Dic₅×C₂×C₁₂	φ: trivial image	480		(C2^2xDic5).12C6	480,715

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