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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀)⋊₁Q₈ = D₆⋊₁Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₁₀	240		(S3xC10):1Q8	480,486
(S₃×C₁₀)⋊₂Q₈ = D₆⋊₂Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₁₀	240		(S3xC10):2Q8	480,493
(S₃×C₁₀)⋊₃Q₈ = D₆⋊₃Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₁₀	240		(S3xC10):3Q8	480,508
(S₃×C₁₀)⋊₄Q₈ = D₆⋊₄Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Out S₃×C₁₀	240		(S3xC10):4Q8	480,512
(S₃×C₁₀)⋊₅Q₈ = D₆⋊Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):5Q8	480,428
(S₃×C₁₀)⋊₆Q₈ = C₆₀.₄₅D₄	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):6Q8	480,441
(S₃×C₁₀)⋊₇Q₈ = C₆₀.₄₆D₄	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):7Q8	480,445
(S₃×C₁₀)⋊₈Q₈ = C₂×S₃×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):8Q8	480,1078
(S₃×C₁₀)⋊₉Q₈ = C₅×D₆⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):9Q8	480,775
(S₃×C₁₀)⋊₁₀Q₈ = C₅×C₄.D₁₂	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):10Q8	480,776
(S₃×C₁₀)⋊₁₁Q₈ = C₅×D₆⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10):11Q8	480,825

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀).₁Q₈ = S₃×C₁₀.D₄	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10).1Q8	480,475
(S₃×C₁₀).₂Q₈ = S₃×C₄⋊Dic₅	φ: Q₈/C₄ → C₂ ⊆ Out S₃×C₁₀	240		(S3xC10).2Q8	480,502
(S₃×C₁₀).₃Q₈ = C₅×S₃×C₄⋊C₄	φ: trivial image	240		(S3xC10).3Q8	480,770

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