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

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

		d	ρ	Label	ID
S₃×Q₈×C₁₀		240		S3xQ8xC10	480,1157

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈)⋊₁C₁₀ = C₅×S₃×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×Q₈	120	4	(S3xQ8):1C10	480,792
(S₃×Q₈)⋊₂C₁₀ = C₅×D₄.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×Q₈	240	4	(S3xQ8):2C10	480,794
(S₃×Q₈)⋊₃C₁₀ = C₅×Q₁₆⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×Q₈	240	4	(S3xQ8):3C10	480,797
(S₃×Q₈)⋊₄C₁₀ = C₅×Q₈.₁₅D₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×Q₈	240	4	(S3xQ8):4C10	480,1159
(S₃×Q₈)⋊₅C₁₀ = C₅×Q₈○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×Q₈	240	4	(S3xQ8):5C10	480,1162
(S₃×Q₈)⋊₆C₁₀ = C₅×S₃×C₄○D₄	φ: trivial image	120	4	(S3xQ8):6C10	480,1160

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈).C₁₀ = C₅×S₃×Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×Q₈	240	4	(S3xQ8).C10	480,796

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