Extensions 1→N→G→Q→1 with N=C₃×C₄.A₄ and Q=C₃

Direct product G=N×Q with N=C₃×C₄.A₄ and Q=C₃

		d	ρ	Label	ID
C₃²×C₄.A₄		144		C3^2xC4.A4	432,699

Semidirect products G=N:Q with N=C₃×C₄.A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄.A₄)⋊C₃ = C₄○D₄⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄.A₄	72	6	(C3xC4.A4):C3	432,339

Non-split extensions G=N.Q with N=C₃×C₄.A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄.A₄).C₃ = C₃₆.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄.A₄	144	6	(C3xC4.A4).C3	432,330
(C₃×C₄.A₄).₂C₃ = C₉×C₄.A₄	φ: trivial image	144	2	(C3xC4.A4).2C3	432,329

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Extensions 1→N→G→Q→1 with N=C3×C4.A4 and Q=C3