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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊(C₂×A₄) = A₄×C₃⋊D₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out Dic₃	36	6	Dic3:(C2xA4)	288,928
Dic₃⋊₂(C₂×A₄) = C₄×S₃×A₄	φ: trivial image	36	6	Dic3:2(C2xA4)	288,919

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×A₄) = A₄×Dic₆	φ: C₂×A₄/A₄ → C₂ ⊆ Out Dic₃	72	6-	Dic3.1(C2xA4)	288,918
Dic₃.₂(C₂×A₄) = SL₂(𝔽₃).₁₁D₆	φ: C₂×A₄/A₄ → C₂ ⊆ Out Dic₃	48	4	Dic3.2(C2xA4)	288,923
Dic₃.₃(C₂×A₄) = Dic₆.A₄	φ: C₂×A₄/A₄ → C₂ ⊆ Out Dic₃	72	4+	Dic3.3(C2xA4)	288,924
Dic₃.₄(C₂×A₄) = C₂×Dic₃.A₄	φ: trivial image	96		Dic3.4(C2xA4)	288,921
Dic₃.₅(C₂×A₄) = S₃×C₄.A₄	φ: trivial image	48	4	Dic3.5(C2xA4)	288,925

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