Extensions 1→N→G→Q→1 with N=C₃²⋊C₄ and Q=S₃

Direct product G=N×Q with N=C₃²⋊C₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₃²⋊C₄		12	8+	S3xC3^2:C4	216,156

Semidirect products G=N:Q with N=C₃²⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄⋊S₃ = C₃²⋊₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊C₄	12	8+	C3^2:C4:S3	216,159

Non-split extensions G=N.Q with N=C₃²⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄.₁S₃ = C₃⋊F₉	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊C₄	24	8	C3^2:C4.1S3	216,155
C₃²⋊C₄.₂S₃ = C₃³⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊C₄	24	8	C3^2:C4.2S3	216,161

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Extensions 1→N→G→Q→1 with N=C32⋊C4 and Q=S3