Extensions 1→N→G→Q→1 with N=Q₈×C₃² and Q=C₄

Direct product G=N×Q with N=Q₈×C₃² and Q=C₄

		d	ρ	Label	ID
Q₈×C₃×C₁₂		288		Q8xC3xC12	288,816

Semidirect products G=N:Q with N=Q₈×C₃² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²)⋊₁C₄ = C₃⋊S₃.₅Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2):1C4	288,432
(Q₈×C₃²)⋊₂C₄ = C₃²⋊₇C₄≀C₂	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2):2C4	288,433
(Q₈×C₃²)⋊₃C₄ = Q₈×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₃²	48	8-	(Q8xC3^2):3C4	288,938
(Q₈×C₃²)⋊₄C₄ = C₃×Q₈⋊₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	96		(Q8xC3^2):4C4	288,269
(Q₈×C₃²)⋊₅C₄ = C₃×Q₈⋊₃Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2):5C4	288,271
(Q₈×C₃²)⋊₆C₄ = C₆².₁₁₇D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	288		(Q8xC3^2):6C4	288,310
(Q₈×C₃²)⋊₇C₄ = C₆².₃₉D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):7C4	288,312
(Q₈×C₃²)⋊₈C₄ = C₃×Q₈×Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	96		(Q8xC3^2):8C4	288,716
(Q₈×C₃²)⋊₉C₄ = Q₈×C₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	288		(Q8xC3^2):9C4	288,802
(Q₈×C₃²)⋊₁₀C₄ = C₃²×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	288		(Q8xC3^2):10C4	288,321
(Q₈×C₃²)⋊₁₁C₄ = C₃²×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):11C4	288,322

Non-split extensions G=N.Q with N=Q₈×C₃² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²).C₄ = C₁₂⋊S₃.C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₃²	48	8+	(Q8xC3^2).C4	288,937
(Q₈×C₃²).₂C₄ = C₃×D₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	48	4	(Q8xC3^2).2C4	288,719
(Q₈×C₃²).₃C₄ = D₄.(C₃⋊Dic₃)	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₃²	144		(Q8xC3^2).3C4	288,805
(Q₈×C₃²).₄C₄ = C₃²×C₈○D₄	φ: trivial image	144		(Q8xC3^2).4C4	288,828

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