Extensions 1→N→G→Q→1 with N=D₅×C₃×C₆ and Q=C₂

Direct product G=N×Q with N=D₅×C₃×C₆ and Q=C₂

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=D₅×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₃×C₆)⋊₁C₂ = C₃×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	60	4	(D5xC3xC6):1C2	360,61
(D₅×C₃×C₆)⋊₂C₂ = C₃×C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	60	4	(D5xC3xC6):2C2	360,62
(D₅×C₃×C₆)⋊₃C₂ = C₃₀.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	180		(D5xC3xC6):3C2	360,68
(D₅×C₃×C₆)⋊₄C₂ = C₃²⋊₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	180		(D5xC3xC6):4C2	360,69
(D₅×C₃×C₆)⋊₅C₂ = S₃×C₆×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	60	4	(D5xC3xC6):5C2	360,151
(D₅×C₃×C₆)⋊₆C₂ = C₂×D₅×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	90		(D5xC3xC6):6C2	360,152
(D₅×C₃×C₆)⋊₇C₂ = C₃²×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	180		(D5xC3xC6):7C2	360,92
(D₅×C₃×C₆)⋊₈C₂ = C₃²×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	180		(D5xC3xC6):8C2	360,94

Non-split extensions G=N.Q with N=D₅×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₃×C₆).₁C₂ = C₃×D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	60	4	(D5xC3xC6).1C2	360,58
(D₅×C₃×C₆).₂C₂ = D₅×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	180		(D5xC3xC6).2C2	360,65
(D₅×C₃×C₆).₃C₂ = C₂×C₃²⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	90		(D5xC3xC6).3C2	360,147
(D₅×C₃×C₆).₄C₂ = C₆×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	60	4	(D5xC3xC6).4C2	360,146
(D₅×C₃×C₆).₅C₂ = C₃×C₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃×C₆	90		(D5xC3xC6).5C2	360,145
(D₅×C₃×C₆).₆C₂ = D₅×C₃×C₁₂	φ: trivial image	180		(D5xC3xC6).6C2	360,91

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