Extensions 1→N→G→Q→1 with N=S₃xC₃² and Q=S₃

Direct product G=NxQ with N=S₃xC₃² and Q=S₃

		d	ρ	Label	ID
S₃²xC₃²		36		S3^2xC3^2	324,165

Semidirect products G=N:Q with N=S₃xC₃² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃²):₁S₃ = S₃xC₃²:C₆	φ: S₃/C₁ → S₃ ⊆ Out S₃xC₃²	18	12+	(S3xC3^2):1S3	324,116
(S₃xC₃²):₂S₃ = S₃xHe₃:C₂	φ: S₃/C₁ → S₃ ⊆ Out S₃xC₃²	18	6	(S3xC3^2):2S3	324,122
(S₃xC₃²):₃S₃ = C₃xS₃xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₃²	36		(S3xC3^2):3S3	324,166
(S₃xC₃²):₄S₃ = S₃xC₃³:C₂	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₃²	54		(S3xC3^2):4S3	324,168

Non-split extensions G=N.Q with N=S₃xC₃² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃²).S₃ = S₃xC₉:C₆	φ: S₃/C₁ → S₃ ⊆ Out S₃xC₃²	18	12+	(S3xC3^2).S3	324,118
(S₃xC₃²).₂S₃ = C₃xS₃xD₉	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₃²	36	4	(S3xC3^2).2S3	324,114
(S₃xC₃²).₃S₃ = S₃xC₉:S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xC₃²	54		(S3xC3^2).3S3	324,120

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