Extensions 1→N→G→Q→1 with N=C₆×A₄ and Q=C₂

Direct product G=N×Q with N=C₆×A₄ and Q=C₂

		d	ρ	Label	ID
A₄×C₂×C₆		36		A4xC2xC6	144,193

Semidirect products G=N:Q with N=C₆×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄)⋊₁C₂ = C₆×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×A₄	18	3	(C6xA4):1C2	144,188
(C₆×A₄)⋊₂C₂ = C₂×C₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×A₄	18	6+	(C6xA4):2C2	144,189
(C₆×A₄)⋊₃C₂ = C₂×S₃×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×A₄	18	6+	(C6xA4):3C2	144,190

Non-split extensions G=N.Q with N=C₆×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄).₁C₂ = C₃×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×A₄	36	3	(C6xA4).1C2	144,123
(C₆×A₄).₂C₂ = C₆.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×A₄	36	6-	(C6xA4).2C2	144,126
(C₆×A₄).₃C₂ = Dic₃×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×A₄	36	6-	(C6xA4).3C2	144,129
(C₆×A₄).₄C₂ = C₁₂×A₄	φ: trivial image	36	3	(C6xA4).4C2	144,155

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