Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₂₀

Direct product G=N×Q with N=C₂²×S₃ and Q=C₂₀

		d	ρ	Label	ID
S₃×C₂²×C₂₀		240		S3xC2^2xC20	480,1151

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊C₂₀ = C₅×C₂³.₆D₆	φ: C₂₀/C₅ → C₄ ⊆ Out C₂²×S₃	120	4	(C2^2xS3):C20	480,125
(C₂²×S₃)⋊₂C₂₀ = C₅×S₃×C₂²⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3):2C20	480,759
(C₂²×S₃)⋊₃C₂₀ = C₁₀×D₆⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3):3C20	480,806

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₂₀ = C₅×C₁₂.₄₆D₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂²×S₃	120	4	(C2^2xS3).C20	480,142
(C₂²×S₃).₂C₂₀ = C₅×D₆⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3).2C20	480,139
(C₂²×S₃).₃C₂₀ = C₁₀×C₈⋊S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²×S₃	240		(C2^2xS3).3C20	480,779
(C₂²×S₃).₄C₂₀ = C₅×S₃×M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²×S₃	120	4	(C2^2xS3).4C20	480,785
(C₂²×S₃).₅C₂₀ = S₃×C₂×C₄₀	φ: trivial image	240		(C2^2xS3).5C20	480,778

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