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

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

		d	ρ	Label	ID
C₂×Dic₃.A₄		96		C2xDic3.A4	288,921

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.A₄⋊₁C₂ = Dic₃.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.A₄	48	4	Dic3.A4:1C2	288,845
Dic₃.A₄⋊₂C₂ = Dic₃.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.A₄	48	4+	Dic3.A4:2C2	288,846
Dic₃.A₄⋊₃C₂ = GL₂(𝔽₃)⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.A₄	48	4+	Dic3.A4:3C2	288,847
Dic₃.A₄⋊₄C₂ = SL₂(𝔽₃).₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.A₄	48	4	Dic3.A4:4C2	288,923
Dic₃.A₄⋊₅C₂ = Dic₆.A₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.A₄	72	4+	Dic3.A4:5C2	288,924
Dic₃.A₄⋊₆C₂ = S₃×C₄.A₄	φ: trivial image	48	4	Dic3.A4:6C2	288,925

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.A₄.C₂ = CSU₂(𝔽₃)⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃.A₄	96	4	Dic3.A4.C2	288,844

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