Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xD₁₂

Direct product G=NxQ with N=C₃ and Q=C₆xD₁₂

		d	ρ	Label	ID
C₃xC₆xD₁₂		144		C3xC6xD12	432,702

Semidirect products G=N:Q with N=C₃ and Q=C₆xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xD₁₂) = C₃xS₃xD₁₂	φ: C₆xD₁₂/C₃xD₁₂ → C₂ ⊆ Aut C₃	48	4	C3:1(C6xD12)	432,649
C₃:₂(C₆xD₁₂) = C₆xC₁₂:S₃	φ: C₆xD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3:2(C6xD12)	432,712
C₃:₃(C₆xD₁₂) = C₆xC₃:D₁₂	φ: C₆xD₁₂/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	48		C3:3(C6xD12)	432,656

Non-split extensions G=N.Q with N=C₃ and Q=C₆xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆xD₁₂) = C₆xD₃₆	φ: C₆xD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.1(C6xD12)	432,343
C₃.₂(C₆xD₁₂) = C₂xHe₃:₄D₄	φ: C₆xD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3.2(C6xD12)	432,350
C₃.₃(C₆xD₁₂) = C₂xD₃₆:C₃	φ: C₆xD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3.3(C6xD12)	432,354
C₃.₄(C₆xD₁₂) = C₁₈xD₁₂	central extension (φ=1)	144		C3.4(C6xD12)	432,346

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