Extensions 1→N→G→Q→1 with N=C₄×S₃² and Q=C₂

Direct product G=N×Q with N=C₄×S₃² and Q=C₂

		d	ρ	Label	ID
S₃²×C₂×C₄		48		S3^2xC2xC4	288,950

Semidirect products G=N:Q with N=C₄×S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃²)⋊₁C₂ = S₃²⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	24	4	(C4xS3^2):1C2	288,878
(C₄×S₃²)⋊₂C₂ = S₃×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	48	4	(C4xS3^2):2C2	288,953
(C₄×S₃²)⋊₃C₂ = D₁₂⋊₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	24	4	(C4xS3^2):3C2	288,954
(C₄×S₃²)⋊₄C₂ = S₃²×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	24	8+	(C4xS3^2):4C2	288,958
(C₄×S₃²)⋊₅C₂ = S₃×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	48	8-	(C4xS3^2):5C2	288,959
(C₄×S₃²)⋊₆C₂ = Dic₆⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	24	8+	(C4xS3^2):6C2	288,960
(C₄×S₃²)⋊₇C₂ = S₃×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	48	8+	(C4xS3^2):7C2	288,966
(C₄×S₃²)⋊₈C₂ = D₁₂⋊₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	48	8-	(C4xS3^2):8C2	288,967
(C₄×S₃²)⋊₉C₂ = C₄×S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	24	4	(C4xS3^2):9C2	288,877

Non-split extensions G=N.Q with N=C₄×S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃²).₁C₂ = S₃×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	48	4	(C4xS3^2).1C2	288,438
(C₄×S₃²).₂C₂ = C₂₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	48	4	(C4xS3^2).2C2	288,439
(C₄×S₃²).₃C₂ = S₃²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	24	4	(C4xS3^2).3C2	288,868
(C₄×S₃²).₄C₂ = S₃²×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	48	8-	(C4xS3^2).4C2	288,965
(C₄×S₃²).₅C₂ = S₃²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×S₃²	24	4	(C4xS3^2).5C2	288,374
(C₄×S₃²).₆C₂ = S₃²×C₈	φ: trivial image	48	4	(C4xS3^2).6C2	288,437

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