Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃×C₂×C₆

Direct product G=N×Q with N=C₅ and Q=S₃×C₂×C₆

		d	ρ	Label	ID
S₃×C₂×C₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=C₅ and Q=S₃×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×C₂×C₆) = S₃×C₆×D₅	φ: S₃×C₂×C₆/S₃×C₆ → C₂ ⊆ Aut C₅	60	4	C5:1(S3xC2xC6)	360,151
C₅⋊₂(S₃×C₂×C₆) = C₂×C₆×D₁₅	φ: S₃×C₂×C₆/C₆² → C₂ ⊆ Aut C₅	120		C5:2(S3xC2xC6)	360,159

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