Extensions 1→N→G→Q→1 with N=C₃xC₄.A₄ and Q=C₂

Direct product G=NxQ with N=C₃xC₄.A₄ and Q=C₂

		d	ρ	Label	ID
C₆xC₄.A₄		96		C6xC4.A4	288,983

Semidirect products G=N:Q with N=C₃xC₄.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄.A₄):₁C₂ = C₁₂.₁₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	48	4	(C3xC4.A4):1C2	288,914
(C₃xC₄.A₄):₂C₂ = C₁₂.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	48	4+	(C3xC4.A4):2C2	288,915
(C₃xC₄.A₄):₃C₂ = Dic₆.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	72	4+	(C3xC4.A4):3C2	288,924
(C₃xC₄.A₄):₄C₂ = S₃xC₄.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	48	4	(C3xC4.A4):4C2	288,925
(C₃xC₄.A₄):₅C₂ = D₁₂.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	48	4-	(C3xC4.A4):5C2	288,926
(C₃xC₄.A₄):₆C₂ = C₃xC₄.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	48	4	(C3xC4.A4):6C2	288,904
(C₃xC₄.A₄):₇C₂ = C₃xC₄.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	48	2	(C3xC4.A4):7C2	288,903
(C₃xC₄.A₄):₈C₂ = C₃xQ₈.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	72	4	(C3xC4.A4):8C2	288,984
(C₃xC₄.A₄):₉C₂ = C₃xD₄.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	48	4	(C3xC4.A4):9C2	288,985

Non-split extensions G=N.Q with N=C₃xC₄.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄.A₄).₁C₂ = C₃:U₂(F₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	72	4	(C3xC4.A4).1C2	288,404
(C₃xC₄.A₄).₂C₂ = SL₂(F₃).Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	96	4	(C3xC4.A4).2C2	288,410
(C₃xC₄.A₄).₃C₂ = C₁₂.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	96	4-	(C3xC4.A4).3C2	288,913
(C₃xC₄.A₄).₄C₂ = C₃xC₄.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	96	4	(C3xC4.A4).4C2	288,902
(C₃xC₄.A₄).₅C₂ = C₃xU₂(F₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.A₄	72	2	(C3xC4.A4).5C2	288,400
(C₃xC₄.A₄).₆C₂ = C₃xC₈.A₄	φ: trivial image	96	2	(C3xC4.A4).6C2	288,638

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