Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xD₁₂

Direct product G=NxQ with N=C₃ and Q=S₃xD₁₂

		d	ρ	Label	ID
C₃xS₃xD₁₂		48	4	C3xS3xD12	432,649

Semidirect products G=N:Q with N=C₃ and Q=S₃xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xD₁₂) = C₃:S₃:₄D₁₂	φ: S₃xD₁₂/C₃:D₁₂ → C₂ ⊆ Aut C₃	24	8+	C3:1(S3xD12)	432,602
C₃:₂(S₃xD₁₂) = S₃xC₁₂:S₃	φ: S₃xD₁₂/S₃xC₁₂ → C₂ ⊆ Aut C₃	72		C3:2(S3xD12)	432,671
C₃:₃(S₃xD₁₂) = C₃:S₃xD₁₂	φ: S₃xD₁₂/C₃xD₁₂ → C₂ ⊆ Aut C₃	72		C3:3(S3xD12)	432,672
C₃:₄(S₃xD₁₂) = C₁₂:₃S₃²	φ: S₃xD₁₂/C₁₂:S₃ → C₂ ⊆ Aut C₃	48	4	C3:4(S3xD12)	432,691
C₃:₅(S₃xD₁₂) = S₃xC₃:D₁₂	φ: S₃xD₁₂/C₂xS₃² → C₂ ⊆ Aut C₃	24	8+	C3:5(S3xD12)	432,598

Non-split extensions G=N.Q with N=C₃ and Q=S₃xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xD₁₂) = S₃xD₃₆	φ: S₃xD₁₂/S₃xC₁₂ → C₂ ⊆ Aut C₃	72	4+	C3.1(S3xD12)	432,291
C₃.₂(S₃xD₁₂) = D₉xD₁₂	φ: S₃xD₁₂/C₃xD₁₂ → C₂ ⊆ Aut C₃	72	4+	C3.2(S3xD12)	432,292
C₃.₃(S₃xD₁₂) = C₃:S₃:D₁₂	φ: S₃xD₁₂/C₁₂:S₃ → C₂ ⊆ Aut C₃	36	12+	C3.3(S3xD12)	432,301

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