Extensions 1→N→G→Q→1 with N=C₃ and Q=A₄:D₄

Direct product G=NxQ with N=C₃ and Q=A₄:D₄

		d	ρ	Label	ID
C₃xA₄:D₄		36	6	C3xA4:D4	288,906

Semidirect products G=N:Q with N=C₃ and Q=A₄:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(A₄:D₄) = A₄:D₁₂	φ: A₄:D₄/A₄:C₄ → C₂ ⊆ Aut C₃	36	6+	C3:1(A4:D4)	288,858
C₃:₂(A₄:D₄) = D₆:S₄	φ: A₄:D₄/C₂xS₄ → C₂ ⊆ Aut C₃	36	6	C3:2(A4:D4)	288,857
C₃:₃(A₄:D₄) = (C₂xC₆):₄S₄	φ: A₄:D₄/C₂²xA₄ → C₂ ⊆ Aut C₃	36	6	C3:3(A4:D4)	288,917

Non-split extensions G=N.Q with N=C₃ and Q=A₄:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(A₄:D₄) = C₂³.D₁₈	φ: A₄:D₄/C₂²xA₄ → C₂ ⊆ Aut C₃	36	6	C3.(A4:D4)	288,342

Extensions 1→N→G→Q→1 with N=C3 and Q=A4:D4