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

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

		d	ρ	Label	ID
S₃×C₂×C₄₀		240		S3xC2xC40	480,778

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈)⋊₁C₁₀ = C₅×S₃×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	120	4	(S3xC8):1C10	480,789
(S₃×C₈)⋊₂C₁₀ = C₅×D₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8):2C10	480,791
(S₃×C₈)⋊₃C₁₀ = C₅×D₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8):3C10	480,798
(S₃×C₈)⋊₄C₁₀ = C₅×S₃×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	120	4	(S3xC8):4C10	480,792
(S₃×C₈)⋊₅C₁₀ = C₅×Q₈.₇D₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8):5C10	480,795
(S₃×C₈)⋊₆C₁₀ = C₅×C₈○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	240	2	(S3xC8):6C10	480,780
(S₃×C₈)⋊₇C₁₀ = C₅×S₃×M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	120	4	(S3xC8):7C10	480,785
(S₃×C₈)⋊₈C₁₀ = C₅×D₁₂.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8):8C10	480,786

Non-split extensions G=N.Q with N=S₃×C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈).₁C₁₀ = C₅×S₃×Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8).1C10	480,796
(S₃×C₈).₂C₁₀ = C₅×D₆.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₈	240	2	(S3xC8).2C10	480,117
(S₃×C₈).₃C₁₀ = S₃×C₈₀	φ: trivial image	240	2	(S3xC8).3C10	480,116

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