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

Direct product G=NxQ with N=D₄:₂S₃ and Q=S₃

		d	ρ	Label	ID
S₃xD₄:₂S₃		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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