Extensions 1→N→G→Q→1 with N=C₂×C₃.A₄ and Q=C₄

Direct product G=N×Q with N=C₂×C₃.A₄ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×C₃.A₄		72		C2xC4xC3.A4	288,343

Semidirect products G=N:Q with N=C₂×C₃.A₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄)⋊C₄ = C₂×C₆.S₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃.A₄	72		(C2xC3.A4):C4	288,341

Non-split extensions G=N.Q with N=C₂×C₃.A₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄).C₄ = C₁₂.S₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×C₃.A₄	72	6	(C2xC3.A4).C4	288,68
(C₂×C₃.A₄).₂C₄ = C₈×C₃.A₄	φ: trivial image	72	3	(C2xC3.A4).2C4	288,76

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Extensions 1→N→G→Q→1 with N=C2×C3.A4 and Q=C4