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
C₃×S₃×S₄		24	6	C3xS3xS4	432,745

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₄)⋊S₃ = C₃⋊S₃×S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃×S₄	36		(C3xS4):S3	432,746

Non-split extensions G=N.Q with N=C₃×S₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₄).S₃ = D₉×S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃×S₄	36	6+	(C3xS4).S3	432,521

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