Extensions 1→N→G→Q→1 with N=D₄⋊₂S₃ and Q=S₃

Direct product G=N×Q with N=D₄⋊₂S₃ and Q=S₃

		d	ρ	Label	ID
S₃×D₄⋊₂S₃		48	8-	S3xD4:2S3	288,959

Semidirect products G=N:Q with N=D₄⋊₂S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃⋊₁S₃ = Dic₆⋊₃D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	8+	D4:2S3:1S3	288,573
D₄⋊₂S₃⋊₂S₃ = D₁₂.₂₂D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	8-	D4:2S3:2S3	288,581
D₄⋊₂S₃⋊₃S₃ = Dic₆.₂₀D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	8+	D4:2S3:3S3	288,583
D₄⋊₂S₃⋊₄S₃ = Dic₆.₂₄D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	8-	D4:2S3:4S3	288,957
D₄⋊₂S₃⋊₅S₃ = D₁₂⋊₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂S₃	24	8+	D4:2S3:5S3	288,962
D₄⋊₂S₃⋊₆S₃ = Dic₆⋊₁₂D₆	φ: trivial image	24	8+	D4:2S3:6S3	288,960

Non-split extensions G=N.Q with N=D₄⋊₂S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃.S₃ = Dic₆.₁₉D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	8-	D4:2S3.S3	288,577

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