Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₃:D₁₂

Direct product G=NxQ with N=C₃ and Q=C₂xC₃:D₁₂

		d	ρ	Label	ID
C₆xC₃:D₁₂		48		C6xC3:D12	432,656

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₃:D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₃:D₁₂) = S₃xC₃:D₁₂	φ: C₂xC₃:D₁₂/C₃:D₁₂ → C₂ ⊆ Aut C₃	24	8+	C3:1(C2xC3:D12)	432,598
C₃:₂(C₂xC₃:D₁₂) = C₂xC₃³:₈D₄	φ: C₂xC₃:D₁₂/C₆xDic₃ → C₂ ⊆ Aut C₃	72		C3:2(C2xC3:D12)	432,682
C₃:₃(C₂xC₃:D₁₂) = C₂xC₃³:₇D₄	φ: C₂xC₃:D₁₂/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	72		C3:3(C2xC3:D12)	432,681
C₃:₄(C₂xC₃:D₁₂) = C₂xC₃³:₉D₄	φ: C₂xC₃:D₁₂/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	48		C3:4(C2xC3:D12)	432,694

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₃:D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂xC₃:D₁₂) = C₂xC₃:D₃₆	φ: C₂xC₃:D₁₂/C₆xDic₃ → C₂ ⊆ Aut C₃	72		C3.1(C2xC3:D12)	432,307
C₃.₂(C₂xC₃:D₁₂) = C₂xC₉:D₁₂	φ: C₂xC₃:D₁₂/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	72		C3.2(C2xC3:D12)	432,312
C₃.₃(C₂xC₃:D₁₂) = C₂xHe₃:₃D₄	φ: C₂xC₃:D₁₂/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	72		C3.3(C2xC3:D12)	432,322

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