Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=Dic₃

Direct product G=N×Q with N=C₂×A₄ and Q=Dic₃

		d	ρ	Label	ID
C₂×Dic₃×A₄		72		C2xDic3xA4	288,927

Semidirect products G=N:Q with N=C₂×A₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊Dic₃ = C₂×C₆.₇S₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×A₄	72		(C2xA4):Dic3	288,916

Non-split extensions G=N.Q with N=C₂×A₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).Dic₃ = C₁₂.₁₂S₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×A₄	72	6	(C2xA4).Dic3	288,402
(C₂×A₄).₂Dic₃ = A₄×C₃⋊C₈	φ: trivial image	72	6	(C2xA4).2Dic3	288,408

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Extensions 1→N→G→Q→1 with N=C2×A4 and Q=Dic3