Extensions 1→N→G→Q→1 with N=D₄⋊₂D₅ and Q=S₃

Direct product G=N×Q with N=D₄⋊₂D₅ and Q=S₃

		d	ρ	Label	ID
S₃×D₄⋊₂D₅		120	8-	S3xD4:2D5	480,1099

Semidirect products G=N:Q with N=D₄⋊₂D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₅⋊₁S₃ = Dic₁₀⋊₃D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	120	8+	D4:2D5:1S3	480,554
D₄⋊₂D₅⋊₂S₃ = D₁₂.₂₄D₁₀	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	8-	D4:2D5:2S3	480,566
D₄⋊₂D₅⋊₃S₃ = C₆₀.₁₆C₂³	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	8+	D4:2D5:3S3	480,568
D₄⋊₂D₅⋊₄S₃ = C₁₅⋊2_-¹⁺⁴	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	8-	D4:2D5:4S3	480,1096
D₄⋊₂D₅⋊₅S₃ = D₁₂⋊₁₄D₁₀	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	120	8+	D4:2D5:5S3	480,1103
D₄⋊₂D₅⋊₆S₃ = D₃₀.C₂³	φ: trivial image	120	8+	D4:2D5:6S3	480,1100

Non-split extensions G=N.Q with N=D₄⋊₂D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₅.₁S₃ = C₆₀.₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	8-	D4:2D5.1S3	480,560
D₄⋊₂D₅.₂S₃ = Dic₁₀⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	120	8	D4:2D5.2S3	480,313
D₄⋊₂D₅.₃S₃ = Dic₁₀.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	8	D4:2D5.3S3	480,1066

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