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

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

		d	ρ	Label	ID
S₃×D₄.D₅		120	8-	S3xD4.D5	480,561

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₅⋊₁S₃ = C₆₀.₁₀C₂³	φ: S₃/C₃ → C₂ ⊆ Out D₄.D₅	240	8-	D4.D5:1S3	480,562
D₄.D₅⋊₂S₃ = Dic₁₀⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄.D₅	120	8+	D4.D5:2S3	480,563
D₄.D₅⋊₃S₃ = D₃₀.₉D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄.D₅	240	8-	D4.D5:3S3	480,564
D₄.D₅⋊₄S₃ = D₁₂.₉D₁₀	φ: S₃/C₃ → C₂ ⊆ Out D₄.D₅	120	8+	D4.D5:4S3	480,572
D₄.D₅⋊₅S₃ = D₃₀.₁₁D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄.D₅	240	8-	D4.D5:5S3	480,575
D₄.D₅⋊₆S₃ = D₁₂⋊₅D₁₀	φ: S₃/C₃ → C₂ ⊆ Out D₄.D₅	120	8+	D4.D5:6S3	480,576
D₄.D₅⋊₇S₃ = C₆₀.₁₉C₂³	φ: trivial image	240	8+	D4.D5:7S3	480,571

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