Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄xA₄

Direct product G=NxQ with N=C₃ and Q=D₄xA₄

		d	ρ	Label	ID
C₃xD₄xA₄		36	6	C3xD4xA4	288,980

Semidirect products G=N:Q with N=C₃ and Q=D₄xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₄xA₄) = A₄xD₁₂	φ: D₄xA₄/C₄xA₄ → C₂ ⊆ Aut C₃	36	6+	C3:1(D4xA4)	288,920
C₃:₂(D₄xA₄) = A₄xC₃:D₄	φ: D₄xA₄/C₂²xA₄ → C₂ ⊆ Aut C₃	36	6	C3:2(D4xA4)	288,928

Non-split extensions G=N.Q with N=C₃ and Q=D₄xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄xA₄) = D₄xC₃.A₄	central extension (φ=1)	36	6	C3.(D4xA4)	288,344

Extensions 1→N→G→Q→1 with N=C3 and Q=D4xA4