Extensions 1→N→G→Q→1 with N=C₂²×A₅ and Q=C₂

Direct product G=N×Q with N=C₂²×A₅ and Q=C₂

		d	ρ	Label	ID
C₂³×A₅		40		C2^3xA5	480,1187

Semidirect products G=N:Q with N=C₂²×A₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₅)⋊₁C₂ = D₄×A₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₅	20	6+	(C2^2xA5):1C2	480,956
(C₂²×A₅)⋊₂C₂ = C₂²⋊S₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₅	20	6+	(C2^2xA5):2C2	480,951
(C₂²×A₅)⋊₃C₂ = C₂²×S₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₅	20		(C2^2xA5):3C2	480,1186

Non-split extensions G=N.Q with N=C₂²×A₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₅).C₂ = C₂×A₅⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×A₅	24		(C2^2xA5).C2	480,952
(C₂²×A₅).₂C₂ = C₂×C₄×A₅	φ: trivial image	40		(C2^2xA5).2C2	480,954

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Extensions 1→N→G→Q→1 with N=C22×A5 and Q=C2