Extensions 1→N→G→Q→1 with N=C₈⋊S₃ and Q=C₁₀

Direct product G=N×Q with N=C₈⋊S₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₈⋊S₃		240		C10xC8:S3	480,779

Semidirect products G=N:Q with N=C₈⋊S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊S₃⋊₁C₁₀ = C₅×Q₈⋊₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊S₃	120	4	C8:S3:1C10	480,793
C₈⋊S₃⋊₂C₁₀ = C₅×D₄.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊S₃	240	4	C8:S3:2C10	480,794
C₈⋊S₃⋊₃C₁₀ = C₅×D₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊S₃	120	4	C8:S3:3C10	480,790
C₈⋊S₃⋊₄C₁₀ = C₅×Q₁₆⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊S₃	240	4	C8:S3:4C10	480,797
C₈⋊S₃⋊₅C₁₀ = C₅×S₃×M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊S₃	120	4	C8:S3:5C10	480,785
C₈⋊S₃⋊₆C₁₀ = C₅×D₁₂.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₈⋊S₃	240	4	C8:S3:6C10	480,786
C₈⋊S₃⋊₇C₁₀ = C₅×C₈○D₁₂	φ: trivial image	240	2	C8:S3:7C10	480,780

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