Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²×C₁₂

Direct product G=N×Q with N=C₂² and Q=C₃²×C₁₂

		d	ρ	Label	ID
C₆²×C₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₂² and Q=C₃²×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²×C₁₂) = A₄×C₃×C₁₂	φ: C₃²×C₁₂/C₃×C₁₂ → C₃ ⊆ Aut C₂²	108		C2^2:(C3^2xC12)	432,697
C₂²⋊₂(C₃²×C₁₂) = C₂²⋊C₄×C₃³	φ: C₃²×C₁₂/C₃²×C₆ → C₂ ⊆ Aut C₂²	216		C2^2:2(C3^2xC12)	432,513

Non-split extensions G=N.Q with N=C₂² and Q=C₃²×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²×C₁₂) = M₄(2)×C₃³	φ: C₃²×C₁₂/C₃²×C₆ → C₂ ⊆ Aut C₂²	216		C2^2.(C3^2xC12)	432,516

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Extensions 1→N→G→Q→1 with N=C22 and Q=C32×C12