Extensions 1→N→G→Q→1 with N=Q₈⋊D₅ and Q=S₃

Direct product G=N×Q with N=Q₈⋊D₅ and Q=S₃

		d	ρ	Label	ID
S₃×Q₈⋊D₅		120	8+	S3xQ8:D5	480,579

Semidirect products G=N:Q with N=Q₈⋊D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₅⋊₁S₃ = D₁₂⋊D₁₀	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊D₅	120	8+	Q8:D5:1S3	480,580
Q₈⋊D₅⋊₂S₃ = D₁₅⋊SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊D₅	120	8-	Q8:D5:2S3	480,581
Q₈⋊D₅⋊₃S₃ = D₆₀⋊C₂²	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊D₅	120	8+	Q8:D5:3S3	480,582
Q₈⋊D₅⋊₄S₃ = D₂₀.₂₈D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊D₅	240	8-	Q8:D5:4S3	480,594
Q₈⋊D₅⋊₅S₃ = D₂₀.₁₆D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊D₅	240	8+	Q8:D5:5S3	480,597
Q₈⋊D₅⋊₆S₃ = D₂₀.₁₇D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈⋊D₅	240	8-	Q8:D5:6S3	480,598
Q₈⋊D₅⋊₇S₃ = D₂₀.₂₇D₆	φ: trivial image	240	8-	Q8:D5:7S3	480,593

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