Extensions 1→N→G→Q→1 with N=C₆₅ and Q=S₃

Direct product G=N×Q with N=C₆₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₆₅		195	2	S3xC65	390,8

Semidirect products G=N:Q with N=C₆₅ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₅⋊₁S₃ = D₁₉₅	φ: S₃/C₃ → C₂ ⊆ Aut C₆₅	195	2+	C65:1S3	390,11
C₆₅⋊₂S₃ = C₅×D₃₉	φ: S₃/C₃ → C₂ ⊆ Aut C₆₅	195	2	C65:2S3	390,9
C₆₅⋊₃S₃ = C₁₃×D₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₆₅	195	2	C65:3S3	390,10

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