Extensions 1→N→G→Q→1 with N=Q₈⋊₃S₃ and Q=C₁₀

Direct product G=N×Q with N=Q₈⋊₃S₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×Q₈⋊₃S₃		240		C10xQ8:3S3	480,1158

Semidirect products G=N:Q with N=Q₈⋊₃S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃⋊₁C₁₀ = C₅×Q₈⋊₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	120	4	Q8:3S3:1C10	480,793
Q₈⋊₃S₃⋊₂C₁₀ = C₅×Q₈.₇D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	4	Q8:3S3:2C10	480,795
Q₈⋊₃S₃⋊₃C₁₀ = C₅×D₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	4	Q8:3S3:3C10	480,798
Q₈⋊₃S₃⋊₄C₁₀ = C₅×Q₈.₁₅D₆	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	4	Q8:3S3:4C10	480,1159
Q₈⋊₃S₃⋊₅C₁₀ = C₅×D₄○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	120	4	Q8:3S3:5C10	480,1161
Q₈⋊₃S₃⋊₆C₁₀ = C₅×S₃×C₄○D₄	φ: trivial image	120	4	Q8:3S3:6C10	480,1160

Non-split extensions G=N.Q with N=Q₈⋊₃S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃.C₁₀ = C₅×Q₁₆⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out Q₈⋊₃S₃	240	4	Q8:3S3.C10	480,797

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