Extensions 1→N→G→Q→1 with N=C₆×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₆×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×Dic₅		240		C2xC6xDic5	240,163

Semidirect products G=N:Q with N=C₆×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₅)⋊₁C₂ = D₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):1C2	240,27
(C₆×Dic₅)⋊₂C₂ = D₃₀⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):2C2	240,28
(C₆×Dic₅)⋊₃C₂ = C₂×S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):3C2	240,142
(C₆×Dic₅)⋊₄C₂ = Dic₃.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120	4	(C6xDic5):4C2	240,143
(C₆×Dic₅)⋊₅C₂ = C₂×D₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):5C2	240,144
(C₆×Dic₅)⋊₆C₂ = C₂×C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):6C2	240,147
(C₆×Dic₅)⋊₇C₂ = C₃×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):7C2	240,43
(C₆×Dic₅)⋊₈C₂ = C₃×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):8C2	240,48
(C₆×Dic₅)⋊₉C₂ = C₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120	4	(C6xDic5):9C2	240,160
(C₆×Dic₅)⋊₁₀C₂ = C₆×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120		(C6xDic5):10C2	240,164
(C₆×Dic₅)⋊₁₁C₂ = D₅×C₂×C₁₂	φ: trivial image	120		(C6xDic5):11C2	240,156

Non-split extensions G=N.Q with N=C₆×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₅).₁C₂ = Dic₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).1C2	240,25
(C₆×Dic₅).₂C₂ = C₃₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).2C2	240,29
(C₆×Dic₅).₃C₂ = Dic₁₅⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).3C2	240,30
(C₆×Dic₅).₄C₂ = C₆.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).4C2	240,31
(C₆×Dic₅).₅C₂ = C₂×C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).5C2	240,148
(C₆×Dic₅).₆C₂ = C₃×C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).6C2	240,41
(C₆×Dic₅).₇C₂ = C₃×C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).7C2	240,42
(C₆×Dic₅).₈C₂ = C₆×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).8C2	240,155
(C₆×Dic₅).₉C₂ = C₂×C₁₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).9C2	240,122
(C₆×Dic₅).₁₀C₂ = C₁₅⋊₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120	4	(C6xDic5).10C2	240,123
(C₆×Dic₅).₁₁C₂ = C₆×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	240		(C6xDic5).11C2	240,115
(C₆×Dic₅).₁₂C₂ = C₃×C₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₅	120	4	(C6xDic5).12C2	240,116
(C₆×Dic₅).₁₃C₂ = C₁₂×Dic₅	φ: trivial image	240		(C6xDic5).13C2	240,40

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