Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²xS₄

Direct product G=NxQ with N=C₃ and Q=C₂²xS₄

		d	ρ	Label	ID
C₂xC₆xS₄		36		C2xC6xS4	288,1033

Semidirect products G=N:Q with N=C₃ and Q=C₂²xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂²xS₄) = C₂xS₃xS₄	φ: C₂²xS₄/C₂xS₄ → C₂ ⊆ Aut C₃	18	6+	C3:1(C2^2xS4)	288,1028
C₃:₂(C₂²xS₄) = C₂²xC₃:S₄	φ: C₂²xS₄/C₂²xA₄ → C₂ ⊆ Aut C₃	36		C3:2(C2^2xS4)	288,1034

Non-split extensions G=N.Q with N=C₃ and Q=C₂²xS₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²xS₄) = C₂²xC₃.S₄	φ: C₂²xS₄/C₂²xA₄ → C₂ ⊆ Aut C₃	36		C3.(C2^2xS4)	288,835

Extensions 1→N→G→Q→1 with N=C3 and Q=C22xS4