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

Direct product G=NxQ with N=D₄:₂D₅ and Q=S₃

		d	ρ	Label	ID
S₃xD₄:₂D₅		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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