Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²xD₁₂

Direct product G=NxQ with N=C₃ and Q=C₂²xD₁₂

		d	ρ	Label	ID
C₂xC₆xD₁₂		96		C2xC6xD12	288,990

Semidirect products G=N:Q with N=C₃ and Q=C₂²xD₁₂

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₂²xD₁₂) = C₂xS₃xD₁₂	φ: C₂²xD₁₂/C₂xD₁₂ → C₂ ⊆ Aut C₃	48	C3:1(C2^2xD12)	288,951
C₃:₂(C₂²xD₁₂) = C₂²xC₁₂:S₃	φ: C₂²xD₁₂/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144	C3:2(C2^2xD12)	288,1005
C₃:₃(C₂²xD₁₂) = C₂²xC₃:D₁₂	φ: C₂²xD₁₂/S₃xC₂³ → C₂ ⊆ Aut C₃	48	C3:3(C2^2xD12)	288,974

Non-split extensions G=N.Q with N=C₃ and Q=C₂²xD₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²xD₁₂) = C₂²xD₃₆	φ: C₂²xD₁₂/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2^2xD12)	288,354

Extensions 1→N→G→Q→1 with N=C3 and Q=C22xD12