Extensions 1→N→G→Q→1 with N=Q₈⋊₂S₃ and Q=D₅

Direct product G=N×Q with N=Q₈⋊₂S₃ and Q=D₅

		d	ρ	Label	ID
D₅×Q₈⋊₂S₃		120	8+	D5xQ8:2S3	480,577

Semidirect products G=N:Q with N=Q₈⋊₂S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂S₃⋊₁D₅ = D₂₀⋊D₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	120	8+	Q8:2S3:1D5	480,578
Q₈⋊₂S₃⋊₂D₅ = D₁₅⋊SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	120	8-	Q8:2S3:2D5	480,581
Q₈⋊₂S₃⋊₃D₅ = D₆₀⋊C₂²	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	120	8+	Q8:2S3:3D5	480,582
Q₈⋊₂S₃⋊₄D₅ = D₁₂.₂₇D₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	240	8-	Q8:2S3:4D5	480,589
Q₈⋊₂S₃⋊₅D₅ = D₁₂.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	240	8+	Q8:2S3:5D5	480,599
Q₈⋊₂S₃⋊₆D₅ = D₃₀.₄₄D₄	φ: D₅/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	240	8-	Q8:2S3:6D5	480,600
Q₈⋊₂S₃⋊₇D₅ = D₂₀.₁₄D₆	φ: trivial image	240	8-	Q8:2S3:7D5	480,590

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