Extensions 1→N→G→Q→1 with N=C₃²×C₁₂ and Q=C₃

Direct product G=N×Q with N=C₃²×C₁₂ and Q=C₃

		d	ρ	Label	ID
C₃³×C₁₂		324		C3^3xC12	324,159

Semidirect products G=N:Q with N=C₃²×C₁₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₁₂)⋊₁C₃ = C₄×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₂	36	3	(C3^2xC12):1C3	324,31
(C₃²×C₁₂)⋊₂C₃ = C₁₂×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₂	108		(C3^2xC12):2C3	324,106

Non-split extensions G=N.Q with N=C₃²×C₁₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₁₂).₁C₃ = C₄×C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₂	108		(C3^2xC12).1C3	324,27
(C₃²×C₁₂).₂C₃ = C₁₂×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₂	108		(C3^2xC12).2C3	324,107

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Extensions 1→N→G→Q→1 with N=C32×C12 and Q=C3