Extensions 1→N→G→Q→1 with N=C₃⋊S₄ and Q=S₃

Direct product G=N×Q with N=C₃⋊S₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₃⋊S₄		24	12+	S3xC3:S4	432,747

Semidirect products G=N:Q with N=C₃⋊S₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₄⋊S₃ = C₆²⋊₅D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃⋊S₄	18	6+	C3:S4:S3	432,523
C₃⋊S₄⋊₂S₃ = C₆²⋊₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊S₄	24	12+	C3:S4:2S3	432,748

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