Extensions 1→N→G→Q→1 with N=C₃²×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₃²×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₃×C₆×Dic₅		360		C3xC6xDic5	360,93

Semidirect products G=N:Q with N=C₃²×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Dic₅)⋊₁C₂ = C₃×S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	120	4	(C3^2xDic5):1C2	360,59
(C₃²×Dic₅)⋊₂C₂ = C₃×D₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	120	4	(C3^2xDic5):2C2	360,60
(C₃²×Dic₅)⋊₃C₂ = C₃×C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	120	4	(C3^2xDic5):3C2	360,63
(C₃²×Dic₅)⋊₄C₂ = C₃⋊S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	180		(C3^2xDic5):4C2	360,66
(C₃²×Dic₅)⋊₅C₂ = C₃₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	180		(C3^2xDic5):5C2	360,67
(C₃²×Dic₅)⋊₆C₂ = C₁₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	180		(C3^2xDic5):6C2	360,70
(C₃²×Dic₅)⋊₇C₂ = C₃²×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	180		(C3^2xDic5):7C2	360,94
(C₃²×Dic₅)⋊₈C₂ = D₅×C₃×C₁₂	φ: trivial image	180		(C3^2xDic5):8C2	360,91

Non-split extensions G=N.Q with N=C₃²×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Dic₅).₁C₂ = C₃×C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	120	4	(C3^2xDic5).1C2	360,64
(C₃²×Dic₅).₂C₂ = C₁₅⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	360		(C3^2xDic5).2C2	360,71
(C₃²×Dic₅).₃C₂ = C₃²×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	360		(C3^2xDic5).3C2	360,90
(C₃²×Dic₅).₄C₂ = C₃₀.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	360		(C3^2xDic5).4C2	360,54
(C₃²×Dic₅).₅C₂ = C₃×C₁₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	120	4	(C3^2xDic5).5C2	360,53
(C₃²×Dic₅).₆C₂ = C₃²×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²×Dic₅	360		(C3^2xDic5).6C2	360,52

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