Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=S₃

Direct product G=N×Q with N=C₃⋊D₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₃⋊D₄		24	4	S3xC3:D4	144,153

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁S₃ = D₆.₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₄	24	4-	C3:D4:1S3	144,148
C₃⋊D₄⋊₂S₃ = Dic₃⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₄	12	4+	C3:D4:2S3	144,154
C₃⋊D₄⋊₃S₃ = D₆.₃D₆	φ: trivial image	24	4	C3:D4:3S3	144,147

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