Extensions 1→N→G→Q→1 with N=C₅×A₄ and Q=S₃

Direct product G=N×Q with N=C₅×A₄ and Q=S₃

		d	ρ	Label	ID
C₅×S₃×A₄		60	6	C5xS3xA4	360,143

Semidirect products G=N:Q with N=C₅×A₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×A₄)⋊₁S₃ = A₄⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×A₄	60	6+	(C5xA4):1S3	360,141
(C₅×A₄)⋊₂S₃ = A₄×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×A₄	60	6+	(C5xA4):2S3	360,144
(C₅×A₄)⋊₃S₃ = C₅×C₃⋊S₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×A₄	60	6	(C5xA4):3S3	360,140

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