Extensions 1→N→G→Q→1 with N=Q₈⋊₂S₃ and Q=S₃

Direct product G=N×Q with N=Q₈⋊₂S₃ and Q=S₃

		d	ρ	Label	ID
S₃×Q₈⋊₂S₃		48	8+	S3xQ8:2S3	288,586

Semidirect products G=N:Q with N=Q₈⋊₂S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂S₃⋊₁S₃ = D₁₂⋊₆D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂S₃	48	8+	Q8:2S3:1S3	288,587
Q₈⋊₂S₃⋊₂S₃ = D₁₂.₉D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂S₃	48	8-	Q8:2S3:2S3	288,588
Q₈⋊₂S₃⋊₃S₃ = D₁₂.₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂S₃	48	8+	Q8:2S3:3S3	288,589
Q₈⋊₂S₃⋊₄S₃ = D₁₂.₂₄D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂S₃	96	8-	Q8:2S3:4S3	288,594
Q₈⋊₂S₃⋊₅S₃ = D₁₂.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂S₃	48	8+	Q8:2S3:5S3	288,598
Q₈⋊₂S₃⋊₆S₃ = D₁₂.₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₂S₃	48	8-	Q8:2S3:6S3	288,599
Q₈⋊₂S₃⋊₇S₃ = D₁₂.₁₂D₆	φ: trivial image	96	8-	Q8:2S3:7S3	288,595

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