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

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

		d	ρ	Label	ID
S₃×C₃⋊S₃		18		S3xC3:S3	108,39

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊S₃ = C₃²⋊D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃⋊S₃	9	6+	C3:S3:S3	108,17
C₃⋊S₃⋊₂S₃ = C₃²⋊₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊S₃	12	4	C3:S3:2S3	108,40

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.S₃ = C₃³⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊S₃	12	4	C3:S3.S3	108,37

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