Extensions 1→N→G→Q→1 with N=C₅×A₄ and Q=C₂

Direct product G=N×Q with N=C₅×A₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×A₄		30	3	C10xA4	120,43

Semidirect products G=N:Q with N=C₅×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×A₄)⋊₁C₂ = C₅⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄	20	6+	(C5xA4):1C2	120,38
(C₅×A₄)⋊₂C₂ = D₅×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄	20	6+	(C5xA4):2C2	120,39
(C₅×A₄)⋊₃C₂ = C₅×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×A₄	20	3	(C5xA4):3C2	120,37

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