Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×D₁₂

Direct product G=N×Q with N=C₃ and Q=C₂²×D₁₂

		d	ρ	Label	ID
C₂×C₆×D₁₂		96		C2xC6xD12	288,990

Semidirect products G=N:Q with N=C₃ and Q=C₂²×D₁₂

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₂²×D₁₂) = C₂×S₃×D₁₂	φ: C₂²×D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₃	48	C3:1(C2^2xD12)	288,951
C₃⋊₂(C₂²×D₁₂) = C₂²×C₁₂⋊S₃	φ: C₂²×D₁₂/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144	C3:2(C2^2xD12)	288,1005
C₃⋊₃(C₂²×D₁₂) = C₂²×C₃⋊D₁₂	φ: C₂²×D₁₂/S₃×C₂³ → C₂ ⊆ Aut C₃	48	C3:3(C2^2xD12)	288,974

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×D₁₂) = C₂²×D₃₆	φ: C₂²×D₁₂/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2^2xD12)	288,354

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×D12