Extensions 1→N→G→Q→1 with N=C₃²×D₅ and Q=C₂

Direct product G=N×Q with N=C₃²×D₅ and Q=C₂

		d	ρ	Label	ID
D₅×C₃×C₆		90		D5xC3xC6	180,32

Semidirect products G=N:Q with N=C₃²×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₅)⋊₁C₂ = C₃×S₃×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₅	30	4	(C3^2xD5):1C2	180,26
(C₃²×D₅)⋊₂C₂ = D₅×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₅	45		(C3^2xD5):2C2	180,27

Non-split extensions G=N.Q with N=C₃²×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₅).₁C₂ = C₃²⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₅	45		(C3^2xD5).1C2	180,22
(C₃²×D₅).₂C₂ = C₃×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₅	30	4	(C3^2xD5).2C2	180,21
(C₃²×D₅).₃C₂ = C₃²×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃²×D₅	45		(C3^2xD5).3C2	180,20

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Extensions 1→N→G→Q→1 with N=C32×D5 and Q=C2