Extensions 1→N→G→Q→1 with N=Dic₃ and Q=S₄

Direct product G=N×Q with N=Dic₃ and Q=S₄

		d	ρ	Label	ID
Dic₃×S₄		36	6-	Dic3xS4	288,853

Semidirect products G=N:Q with N=Dic₃ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊S₄ = Dic₃⋊S₄	φ: S₄/A₄ → C₂ ⊆ Out Dic₃	36	6	Dic3:S4	288,855
Dic₃⋊₂S₄ = Dic₃⋊₂S₄	φ: trivial image	36	6	Dic3:2S4	288,854

Non-split extensions G=N.Q with N=Dic₃ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁S₄ = CSU₂(𝔽₃)⋊S₃	φ: S₄/A₄ → C₂ ⊆ Out Dic₃	96	4	Dic3.1S4	288,844
Dic₃.₂S₄ = GL₂(𝔽₃)⋊S₃	φ: S₄/A₄ → C₂ ⊆ Out Dic₃	48	4+	Dic3.2S4	288,847
Dic₃.₃S₄ = Dic₃.S₄	φ: S₄/A₄ → C₂ ⊆ Out Dic₃	72	6-	Dic3.3S4	288,852
Dic₃.₄S₄ = Dic₃.₄S₄	φ: trivial image	48	4	Dic3.4S4	288,845
Dic₃.₅S₄ = Dic₃.₅S₄	φ: trivial image	48	4+	Dic3.5S4	288,846

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