Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=C₁₂

Direct product G=N×Q with N=C₃×D₅ and Q=C₁₂

		d	ρ	Label	ID
D₅×C₃×C₁₂		180		D5xC3xC12	360,91

Semidirect products G=N:Q with N=C₃×D₅ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊₁C₁₂ = C₃×D₅×Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5):1C12	360,58
(C₃×D₅)⋊₂C₁₂ = C₆×C₃⋊F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5):2C12	360,146
(C₃×D₅)⋊₃C₁₂ = C₃×C₆×F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₅	90		(C3xD5):3C12	360,145

Non-split extensions G=N.Q with N=C₃×D₅ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).C₁₂ = C₁₈×F₅	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×D₅	90	4	(C3xD5).C12	360,43
(C₃×D₅).₂C₁₂ = D₅×C₃₆	φ: trivial image	180	2	(C3xD5).2C12	360,16

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Extensions 1→N→G→Q→1 with N=C3×D5 and Q=C12