Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₃xC₆

Direct product G=NxQ with N=C₃ and Q=S₃xC₃xC₆

		d	ρ	Label	ID
S₃xC₃²xC₆		108		S3xC3^2xC6	324,172

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₃xC₆) = S₃²xC₃²	φ: S₃xC₃xC₆/S₃xC₃² → C₂ ⊆ Aut C₃	36		C3:1(S3xC3xC6)	324,165
C₃:₂(S₃xC₃xC₆) = C₃:S₃xC₃xC₆	φ: S₃xC₃xC₆/C₃²xC₆ → C₂ ⊆ Aut C₃	36		C3:2(S3xC3xC6)	324,173

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₃xC₆) = D₉xC₃xC₆	φ: S₃xC₃xC₆/C₃²xC₆ → C₂ ⊆ Aut C₃	108		C3.1(S3xC3xC6)	324,136
C₃.₂(S₃xC₃xC₆) = C₆xC₃²:C₆	φ: S₃xC₃xC₆/C₃²xC₆ → C₂ ⊆ Aut C₃	36	6	C3.2(S3xC3xC6)	324,138
C₃.₃(S₃xC₃xC₆) = C₆xC₉:C₆	φ: S₃xC₃xC₆/C₃²xC₆ → C₂ ⊆ Aut C₃	36	6	C3.3(S3xC3xC6)	324,140
C₃.₄(S₃xC₃xC₆) = S₃xC₃xC₁₈	central extension (φ=1)	108		C3.4(S3xC3xC6)	324,137
C₃.₅(S₃xC₃xC₆) = C₂xS₃xHe₃	central stem extension (φ=1)	36	6	C3.5(S3xC3xC6)	324,139
C₃.₆(S₃xC₃xC₆) = C₂xS₃x3_-¹⁺²	central stem extension (φ=1)	36	6	C3.6(S3xC3xC6)	324,141

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