Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄wrC₂

Direct product G=NxQ with N=C₃ and Q=C₃xC₄wrC₂

		d	ρ	Label	ID
C₃²xC₄wrC₂		72		C3^2xC4wrC2	288,322

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄wrC₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄wrC₂) = C₃xC₄²:₄S₃	φ: C₃xC₄wrC₂/C₄xC₁₂ → C₂ ⊆ Aut C₃	24	2	C3:1(C3xC4wrC2)	288,239
C₃:₂(C₃xC₄wrC₂) = C₃xD₁₂:C₄	φ: C₃xC₄wrC₂/C₃xM₄(2) → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC4wrC2)	288,259
C₃:₃(C₃xC₄wrC₂) = C₃xQ₈:₃Dic₃	φ: C₃xC₄wrC₂/C₃xC₄oD₄ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC4wrC2)	288,271

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄wrC₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₄wrC₂) = C₉xC₄wrC₂	central extension (φ=1)	72	2	C3.(C3xC4wrC2)	288,54

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC4wrC2