Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄oD₁₂

Direct product G=NxQ with N=C₃ and Q=C₃xC₄oD₁₂

		d	ρ	Label	ID
C₃²xC₄oD₁₂		72		C3^2xC4oD12	432,703

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄oD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄oD₁₂) = C₃xD₆.₆D₆	φ: C₃xC₄oD₁₂/C₃xDic₆ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC4oD12)	432,647
C₃:₂(C₃xC₄oD₁₂) = C₃xD₆.D₆	φ: C₃xC₄oD₁₂/S₃xC₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC4oD12)	432,646
C₃:₃(C₃xC₄oD₁₂) = C₃xD₁₂:₅S₃	φ: C₃xC₄oD₁₂/C₃xD₁₂ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC4oD12)	432,643
C₃:₄(C₃xC₄oD₁₂) = C₃xD₆.₃D₆	φ: C₃xC₄oD₁₂/C₃xC₃:D₄ → C₂ ⊆ Aut C₃	24	4	C3:4(C3xC4oD12)	432,652
C₃:₅(C₃xC₄oD₁₂) = C₃xC₁₂.₅₉D₆	φ: C₃xC₄oD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3:5(C3xC4oD12)	432,713

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄oD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₄oD₁₂) = C₃xD₃₆:₅C₂	φ: C₃xC₄oD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72	2	C3.1(C3xC4oD12)	432,344
C₃.₂(C₃xC₄oD₁₂) = C₆².₃₆D₆	φ: C₃xC₄oD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72	6	C3.2(C3xC4oD12)	432,351
C₃.₃(C₃xC₄oD₁₂) = D₃₆:₆C₆	φ: C₃xC₄oD₁₂/C₆xC₁₂ → C₂ ⊆ Aut C₃	72	6	C3.3(C3xC4oD12)	432,355
C₃.₄(C₃xC₄oD₁₂) = C₉xC₄oD₁₂	central extension (φ=1)	72	2	C3.4(C3xC4oD12)	432,347

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