Extensions 1→N→G→Q→1 with N=C₆xA₄ and Q=C₃

Direct product G=NxQ with N=C₆xA₄ and Q=C₃

		d	ρ	Label	ID
A₄xC₃xC₆		54		A4xC3xC6	216,173

Semidirect products G=N:Q with N=C₆xA₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄):C₃ = C₂xC₃²:A₄	φ: C₃/C₁ → C₃ ⊆ Out C₆xA₄	18	3	(C6xA4):C3	216,107

Non-split extensions G=N.Q with N=C₆xA₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄).C₃ = C₂xC₉:A₄	φ: C₃/C₁ → C₃ ⊆ Out C₆xA₄	54	3	(C6xA4).C3	216,104
(C₆xA₄).₂C₃ = A₄xC₁₈	φ: trivial image	54	3	(C6xA4).2C3	216,103

Extensions 1→N→G→Q→1 with N=C6xA4 and Q=C3