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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊C₆ = C₆²⋊S₃	φ: C₆/C₁ → C₆ ⊆ Out C₃×A₄	18	6+	(C3xA4):C6	216,92
(C₃×A₄)⋊₂C₆ = C₂×C₃²⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃×A₄	18	3	(C3xA4):2C6	216,107
(C₃×A₄)⋊₃C₆ = C₃²×S₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×A₄	36		(C3xA4):3C6	216,163
(C₃×A₄)⋊₄C₆ = C₃×C₃⋊S₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×A₄	24	6	(C3xA4):4C6	216,164
(C₃×A₄)⋊₅C₆ = C₃×S₃×A₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×A₄	24	6	(C3xA4):5C6	216,166

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄).C₆ = C₂×C₉⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃×A₄	54	3	(C3xA4).C6	216,104
(C₃×A₄).₂C₆ = C₉×S₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×A₄	36	3	(C3xA4).2C6	216,89
(C₃×A₄).₃C₆ = A₄×C₁₈	φ: trivial image	54	3	(C3xA4).3C6	216,103

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