Extensions 1→N→G→Q→1 with N=Q₈⋊₂S₃ and Q=C₁₀

Direct product G=N×Q with N=Q₈⋊₂S₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×Q₈⋊₂S₃		240		C10xQ8:2S3	480,820

Semidirect products G=N:Q with N=Q₈⋊₂S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂S₃⋊₁C₁₀ = C₅×S₃×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	120	4	Q8:2S3:1C10	480,792
Q₈⋊₂S₃⋊₂C₁₀ = C₅×Q₈⋊₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	120	4	Q8:2S3:2C10	480,793
Q₈⋊₂S₃⋊₃C₁₀ = C₅×Q₁₆⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	240	4	Q8:2S3:3C10	480,797
Q₈⋊₂S₃⋊₄C₁₀ = C₅×D₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	240	4	Q8:2S3:4C10	480,798
Q₈⋊₂S₃⋊₅C₁₀ = C₅×Q₈.₁₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	240	4	Q8:2S3:5C10	480,821
Q₈⋊₂S₃⋊₆C₁₀ = C₅×D₄⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₂S₃	120	4	Q8:2S3:6C10	480,828
Q₈⋊₂S₃⋊₇C₁₀ = C₅×Q₈.₁₃D₆	φ: trivial image	240	4	Q8:2S3:7C10	480,829

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