Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₃:S₃

Direct product G=NxQ with N=C₃ and Q=S₃xC₃:S₃

		d	ρ	Label	ID
C₃xS₃xC₃:S₃		36		C3xS3xC3:S3	324,166

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₃:S₃) = S₃xC₃³:C₂	φ: S₃xC₃:S₃/S₃xC₃² → C₂ ⊆ Aut C₃	54		C3:1(S3xC3:S3)	324,168
C₃:₂(S₃xC₃:S₃) = C₃:S₃²	φ: S₃xC₃:S₃/C₃xC₃:S₃ → C₂ ⊆ Aut C₃	18		C3:2(S3xC3:S3)	324,169
C₃:₃(S₃xC₃:S₃) = C₃³:₁₇D₆	φ: S₃xC₃:S₃/C₃³:C₂ → C₂ ⊆ Aut C₃	36		C3:3(S3xC3:S3)	324,170

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₃:S₃) = S₃xC₉:S₃	φ: S₃xC₃:S₃/S₃xC₃² → C₂ ⊆ Aut C₃	54		C3.1(S3xC3:S3)	324,120
C₃.₂(S₃xC₃:S₃) = D₉xC₃:S₃	φ: S₃xC₃:S₃/C₃xC₃:S₃ → C₂ ⊆ Aut C₃	54		C3.2(S3xC3:S3)	324,119
C₃.₃(S₃xC₃:S₃) = He₃:₅D₆	φ: S₃xC₃:S₃/C₃³:C₂ → C₂ ⊆ Aut C₃	18	12+	C3.3(S3xC3:S3)	324,121
C₃.₄(S₃xC₃:S₃) = S₃xHe₃:C₂	central stem extension (φ=1)	18	6	C3.4(S3xC3:S3)	324,122

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