Extensions 1→N→G→Q→1 with N=C₅₅ and Q=S₃

Direct product G=N×Q with N=C₅₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₅₅		165	2	S3xC55	330,8

Semidirect products G=N:Q with N=C₅₅ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₅⋊₁S₃ = D₁₆₅	φ: S₃/C₃ → C₂ ⊆ Aut C₅₅	165	2+	C55:1S3	330,11
C₅₅⋊₂S₃ = C₅×D₃₃	φ: S₃/C₃ → C₂ ⊆ Aut C₅₅	165	2	C55:2S3	330,9
C₅₅⋊₃S₃ = C₁₁×D₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₅₅	165	2	C55:3S3	330,10

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