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	480,555

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₅⋊₁S₃ = D₆₀.C₂²	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊D₅	120	8+	D4:D5:1S3	480,556
D₄⋊D₅⋊₂S₃ = D₁₅⋊D₈	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊D₅	120	8+	D4:D5:2S3	480,557
D₄⋊D₅⋊₃S₃ = D₃₀.₈D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊D₅	120	8-	D4:D5:3S3	480,558
D₄⋊D₅⋊₄S₃ = D₂₀⋊₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊D₅	120	8-	D4:D5:4S3	480,570
D₄⋊D₅⋊₅S₃ = D₂₀.₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊D₅	240	8-	D4:D5:5S3	480,573
D₄⋊D₅⋊₆S₃ = Dic₆⋊D₁₀	φ: S₃/C₃ → C₂ ⊆ Out D₄⋊D₅	120	8+	D4:D5:6S3	480,574
D₄⋊D₅⋊₇S₃ = D₂₀.₂₄D₆	φ: trivial image	240	8-	D4:D5:7S3	480,569

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