Extensions 1→N→G→Q→1 with N=S₃×C₃² and Q=S₃

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

		d	ρ	Label	ID
S₃²×C₃²		36		S3^2xC3^2	324,165

Semidirect products G=N:Q with N=S₃×C₃² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²)⋊₁S₃ = S₃×C₃²⋊C₆	φ: S₃/C₁ → S₃ ⊆ Out S₃×C₃²	18	12+	(S3xC3^2):1S3	324,116
(S₃×C₃²)⋊₂S₃ = S₃×He₃⋊C₂	φ: S₃/C₁ → S₃ ⊆ Out S₃×C₃²	18	6	(S3xC3^2):2S3	324,122
(S₃×C₃²)⋊₃S₃ = C₃×S₃×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₃²	36		(S3xC3^2):3S3	324,166
(S₃×C₃²)⋊₄S₃ = S₃×C₃³⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₃²	54		(S3xC3^2):4S3	324,168

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²).S₃ = S₃×C₉⋊C₆	φ: S₃/C₁ → S₃ ⊆ Out S₃×C₃²	18	12+	(S3xC3^2).S3	324,118
(S₃×C₃²).₂S₃ = C₃×S₃×D₉	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₃²	36	4	(S3xC3^2).2S3	324,114
(S₃×C₃²).₃S₃ = S₃×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₃²	54		(S3xC3^2).3S3	324,120

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