Extensions 1→N→G→Q→1 with N=C₄×A₅ and Q=C₂

Direct product G=N×Q with N=C₄×A₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×A₅		40		C2xC4xA5	480,954

Semidirect products G=N:Q with N=C₄×A₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₅)⋊₁C₂ = D₄×A₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₅	20	6+	(C4xA5):1C2	480,956
(C₄×A₅)⋊₂C₂ = C₄⋊S₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₅	20	6	(C4xA5):2C2	480,944
(C₄×A₅)⋊₃C₂ = C₄×S₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₅	20	4	(C4xA5):3C2	480,943

Non-split extensions G=N.Q with N=C₄×A₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₅).₁C₂ = Q₈×A₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₅	40	6-	(C4xA5).1C2	480,958
(C₄×A₅).₂C₂ = A₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₅	24	6	(C4xA5).2C2	480,945
(C₄×A₅).₃C₂ = A₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×A₅	40	4	(C4xA5).3C2	480,217
(C₄×A₅).₄C₂ = C₈×A₅	φ: trivial image	40	3	(C4xA5).4C2	480,220

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