Extensions 1→N→G→Q→1 with N=C₅×A₄ and Q=C₂³

Direct product G=N×Q with N=C₅×A₄ and Q=C₂³

		d	ρ	Label	ID
A₄×C₂²×C₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=C₅×A₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×A₄)⋊C₂³ = C₂×D₅×S₄	φ: C₂³/C₂ → C₂² ⊆ Out C₅×A₄	30	6+	(C5xA4):C2^3	480,1193
(C₅×A₄)⋊₂C₂³ = C₂²×C₅⋊S₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅×A₄	60		(C5xA4):2C2^3	480,1199
(C₅×A₄)⋊₃C₂³ = C₂²×D₅×A₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅×A₄	60		(C5xA4):3C2^3	480,1202
(C₅×A₄)⋊₄C₂³ = C₂×C₁₀×S₄	φ: C₂³/C₂² → C₂ ⊆ Out C₅×A₄	60		(C5xA4):4C2^3	480,1198

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