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

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

		d	ρ	Label	ID
S₃×C₃₀		60	2	S3xC30	180,33

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×C₆) = C₃×S₃×D₅	φ: S₃×C₆/C₃×S₃ → C₂ ⊆ Aut C₅	30	4	C5:1(S3xC6)	180,26
C₅⋊₂(S₃×C₆) = C₆×D₁₅	φ: S₃×C₆/C₃×C₆ → C₂ ⊆ Aut C₅	60	2	C5:2(S3xC6)	180,34

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