Extensions 1→N→G→Q→1 with N=C₂xC₃²:C₄ and Q=C₄

Direct product G=NxQ with N=C₂xC₃²:C₄ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xC₃²:C₄		48		C2xC4xC3^2:C4	288,932

Semidirect products G=N:Q with N=C₂xC₃²:C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₄):₁C₄ = C₆².D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48		(C2xC3^2:C4):1C4	288,385
(C₂xC₃²:C₄):₂C₄ = C₆².Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48		(C2xC3^2:C4):2C4	288,395
(C₂xC₃²:C₄):₃C₄ = (C₆xC₁₂):₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48		(C2xC3^2:C4):3C4	288,429
(C₂xC₃²:C₄):₄C₄ = C₂xC₃:S₃.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48		(C2xC3^2:C4):4C4	288,882
(C₂xC₃²:C₄):₅C₄ = C₂xC₂.PSU₃(F₂)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48		(C2xC3^2:C4):5C4	288,894

Non-split extensions G=N.Q with N=C₂xC₃²:C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₄).₁C₄ = C₃²:C₄:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48	4	(C2xC3^2:C4).1C4	288,380
(C₂xC₃²:C₄).₂C₄ = C₄.₄PSU₃(F₂)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48	8	(C2xC3^2:C4).2C4	288,392
(C₂xC₃²:C₄).₃C₄ = (C₃xC₂₄):C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	48	4	(C2xC3^2:C4).3C4	288,415
(C₂xC₃²:C₄).₄C₄ = C₄xF₉	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	36	8	(C2xC3^2:C4).4C4	288,863
(C₂xC₃²:C₄).₅C₄ = C₄:F₉	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	36	8	(C2xC3^2:C4).5C4	288,864
(C₂xC₃²:C₄).₆C₄ = C₂²:F₉	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	24	8+	(C2xC3^2:C4).6C4	288,867
(C₂xC₃²:C₄).₇C₄ = C₂²xF₉	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₄	36		(C2xC3^2:C4).7C4	288,1030
(C₂xC₃²:C₄).₈C₄ = C₈xC₃²:C₄	φ: trivial image	48	4	(C2xC3^2:C4).8C4	288,414

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