Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄:S₄

Direct product G=NxQ with N=C₃ and Q=C₄:S₄

		d	ρ	Label	ID
C₃xC₄:S₄		36	6	C3xC4:S4	288,898

Semidirect products G=N:Q with N=C₃ and Q=C₄:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₄:S₄) = C₁₂:S₄	φ: C₄:S₄/C₄xA₄ → C₂ ⊆ Aut C₃	36	6+	C3:1(C4:S4)	288,909
C₃:₂(C₄:S₄) = Dic₃:S₄	φ: C₄:S₄/C₂xS₄ → C₂ ⊆ Aut C₃	36	6	C3:2(C4:S4)	288,855

Non-split extensions G=N.Q with N=C₃ and Q=C₄:S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄:S₄) = C₂²:D₃₆	φ: C₄:S₄/C₄xA₄ → C₂ ⊆ Aut C₃	36	6+	C3.(C4:S4)	288,334

Extensions 1→N→G→Q→1 with N=C3 and Q=C4:S4