Extensions 1→N→G→Q→1 with N=Q₈⋊₃S₃ and Q=S₃

Direct product G=N×Q with N=Q₈⋊₃S₃ and Q=S₃

		d	ρ	Label	ID
S₃×Q₈⋊₃S₃		48	8+	S3xQ8:3S3	288,966

Semidirect products G=N:Q with N=Q₈⋊₃S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃⋊₁S₃ = Dic₃.₄S₄	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:1S3	288,845
Q₈⋊₃S₃⋊₂S₃ = Dic₃.₅S₄	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₃S₃	48	4+	Q8:3S3:2S3	288,846
Q₈⋊₃S₃⋊₃S₃ = GL₂(𝔽₃)⋊S₃	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₃S₃	48	4+	Q8:3S3:3S3	288,847
Q₈⋊₃S₃⋊₄S₃ = D₁₂⋊₆D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	8+	Q8:3S3:4S3	288,587
Q₈⋊₃S₃⋊₅S₃ = D₁₂.₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	96	8-	Q8:3S3:5S3	288,595
Q₈⋊₃S₃⋊₆S₃ = D₁₂.₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	8+	Q8:3S3:6S3	288,597
Q₈⋊₃S₃⋊₇S₃ = D₁₂.₂₅D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	8-	Q8:3S3:7S3	288,963
Q₈⋊₃S₃⋊₈S₃ = D₁₂⋊₁₆D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	8+	Q8:3S3:8S3	288,968
Q₈⋊₃S₃⋊₉S₃ = D₁₂⋊₁₅D₆	φ: trivial image	48	8-	Q8:3S3:9S3	288,967

Non-split extensions G=N.Q with N=Q₈⋊₃S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃.S₃ = CSU₂(𝔽₃)⋊S₃	φ: S₃/C₁ → S₃ ⊆ Out Q₈⋊₃S₃	96	4	Q8:3S3.S3	288,844
Q₈⋊₃S₃.₂S₃ = D₁₂.₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	96	8-	Q8:3S3.2S3	288,591

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