Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄xS₄

Direct product G=NxQ with N=C₃ and Q=C₄xS₄

		d	ρ	Label	ID
C₁₂xS₄		36	3	C12xS4	288,897

Semidirect products G=N:Q with N=C₃ and Q=C₄xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₄xS₄) = Dic₃:₂S₄	φ: C₄xS₄/A₄:C₄ → C₂ ⊆ Aut C₃	36	6	C3:1(C4xS4)	288,854
C₃:₂(C₄xS₄) = C₄xC₃:S₄	φ: C₄xS₄/C₄xA₄ → C₂ ⊆ Aut C₃	36	6	C3:2(C4xS4)	288,908
C₃:₃(C₄xS₄) = Dic₃xS₄	φ: C₄xS₄/C₂xS₄ → C₂ ⊆ Aut C₃	36	6-	C3:3(C4xS4)	288,853

Non-split extensions G=N.Q with N=C₃ and Q=C₄xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄xS₄) = C₄xC₃.S₄	φ: C₄xS₄/C₄xA₄ → C₂ ⊆ Aut C₃	36	6	C3.(C4xS4)	288,333

Extensions 1→N→G→Q→1 with N=C3 and Q=C4xS4