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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊C₆ = C₆×S₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×A₄	18	3	(C2xA4):C6	144,188

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).C₆ = C₃×A₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×A₄	36	3	(C2xA4).C6	144,123
(C₂×A₄).₂C₆ = C₁₂×A₄	φ: trivial image	36	3	(C2xA4).2C6	144,155

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