Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₂₀

Direct product G=N×Q with N=C₄×S₃ and Q=C₂₀

		d	ρ	Label	ID
S₃×C₄×C₂₀		240		S3xC4xC20	480,750

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁C₂₀ = C₅×S₃×C₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):1C20	480,770
(C₄×S₃)⋊₂C₂₀ = C₅×C₄⋊C₄⋊₇S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):2C20	480,771
(C₄×S₃)⋊₃C₂₀ = C₅×C₄²⋊₂S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3):3C20	480,751

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁C₂₀ = C₅×S₃×M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3).1C20	480,785
(C₄×S₃).₂C₂₀ = C₅×D₆.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240	2	(C4xS3).2C20	480,117
(C₄×S₃).₃C₂₀ = C₁₀×C₈⋊S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄×S₃	240		(C4xS3).3C20	480,779
(C₄×S₃).₄C₂₀ = S₃×C₈₀	φ: trivial image	240	2	(C4xS3).4C20	480,116
(C₄×S₃).₅C₂₀ = S₃×C₂×C₄₀	φ: trivial image	240		(C4xS3).5C20	480,778

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