Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₂xC₁₂

Direct product G=NxQ with N=C₃ and Q=S₃xC₂xC₁₂

		d	ρ	Label	ID
S₃xC₆xC₁₂		144		S3xC6xC12	432,701

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₂xC₁₂) = S₃²xC₁₂	φ: S₃xC₂xC₁₂/S₃xC₁₂ → C₂ ⊆ Aut C₃	48	4	C3:1(S3xC2xC12)	432,648
C₃:₂(S₃xC₂xC₁₂) = C₆xC₆.D₆	φ: S₃xC₂xC₁₂/C₆xDic₃ → C₂ ⊆ Aut C₃	48		C3:2(S3xC2xC12)	432,654
C₃:₃(S₃xC₂xC₁₂) = C₃:S₃xC₂xC₁₂	φ: S₃xC₂xC₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3:3(S3xC2xC12)	432,711
C₃:₄(S₃xC₂xC₁₂) = S₃xC₆xDic₃	φ: S₃xC₂xC₁₂/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	48		C3:4(S3xC2xC12)	432,651

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₂xC₁₂) = D₉xC₂xC₁₂	φ: S₃xC₂xC₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.1(S3xC2xC12)	432,342
C₃.₂(S₃xC₂xC₁₂) = C₂xC₄xC₃²:C₆	φ: S₃xC₂xC₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3.2(S3xC2xC12)	432,349
C₃.₃(S₃xC₂xC₁₂) = C₂xC₄xC₉:C₆	φ: S₃xC₂xC₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3.3(S3xC2xC12)	432,353
C₃.₄(S₃xC₂xC₁₂) = S₃xC₂xC₃₆	central extension (φ=1)	144		C3.4(S3xC2xC12)	432,345

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