Extensions 1→N→G→Q→1 with N=C₆×A₄ and Q=C₃

Direct product G=N×Q with N=C₆×A₄ and Q=C₃

		d	ρ	Label	ID
A₄×C₃×C₆		54		A4xC3xC6	216,173

Semidirect products G=N:Q with N=C₆×A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄)⋊C₃ = C₂×C₃²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₆×A₄	18	3	(C6xA4):C3	216,107

Non-split extensions G=N.Q with N=C₆×A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄).C₃ = C₂×C₉⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₆×A₄	54	3	(C6xA4).C3	216,104
(C₆×A₄).₂C₃ = A₄×C₁₈	φ: trivial image	54	3	(C6xA4).2C3	216,103

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Extensions 1→N→G→Q→1 with N=C6×A4 and Q=C3