Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₁₀

Direct product G=N×Q with N=C₄×S₃ and Q=C₁₀

		d	ρ	Label	ID
S₃×C₂×C₂₀		120		S3xC2xC20	240,166

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₁₀ = C₅×S₃×D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×S₃	60	4	(C4xS3):1C10	240,169
(C₄×S₃)⋊₂C₁₀ = C₅×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3):2C10	240,170
(C₄×S₃)⋊₃C₁₀ = C₅×Q₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3):3C10	240,172
(C₄×S₃)⋊₄C₁₀ = C₅×C₄○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×S₃	120	2	(C4xS3):4C10	240,168

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₁₀ = C₅×S₃×Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3).1C10	240,171
(C₄×S₃).₂C₁₀ = C₅×C₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×S₃	120	2	(C4xS3).2C10	240,50
(C₄×S₃).₃C₁₀ = S₃×C₄₀	φ: trivial image	120	2	(C4xS3).3C10	240,49

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