Extensions 1→N→G→Q→1 with N=C₄xS₃² and Q=C₂

Direct product G=NxQ with N=C₄xS₃² and Q=C₂

		d	ρ	Label	ID
S₃²xC₂xC₄		48		S3^2xC2xC4	288,950

Semidirect products G=N:Q with N=C₄xS₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃²):₁C₂ = S₃²:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	24	4	(C4xS3^2):1C2	288,878
(C₄xS₃²):₂C₂ = S₃xC₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	48	4	(C4xS3^2):2C2	288,953
(C₄xS₃²):₃C₂ = D₁₂:₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	24	4	(C4xS3^2):3C2	288,954
(C₄xS₃²):₄C₂ = S₃²xD₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	24	8+	(C4xS3^2):4C2	288,958
(C₄xS₃²):₅C₂ = S₃xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	48	8-	(C4xS3^2):5C2	288,959
(C₄xS₃²):₆C₂ = Dic₆:₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	24	8+	(C4xS3^2):6C2	288,960
(C₄xS₃²):₇C₂ = S₃xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	48	8+	(C4xS3^2):7C2	288,966
(C₄xS₃²):₈C₂ = D₁₂:₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	48	8-	(C4xS3^2):8C2	288,967
(C₄xS₃²):₉C₂ = C₄xS₃wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	24	4	(C4xS3^2):9C2	288,877

Non-split extensions G=N.Q with N=C₄xS₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xS₃²).₁C₂ = S₃xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	48	4	(C4xS3^2).1C2	288,438
(C₄xS₃²).₂C₂ = C₂₄:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	48	4	(C4xS3^2).2C2	288,439
(C₄xS₃²).₃C₂ = S₃²:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	24	4	(C4xS3^2).3C2	288,868
(C₄xS₃²).₄C₂ = S₃²xQ₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	48	8-	(C4xS3^2).4C2	288,965
(C₄xS₃²).₅C₂ = S₃²:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xS₃²	24	4	(C4xS3^2).5C2	288,374
(C₄xS₃²).₆C₂ = S₃²xC₈	φ: trivial image	48	4	(C4xS3^2).6C2	288,437

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