Extensions 1→N→G→Q→1 with N=C₂²xS₃ and Q=C₂₀

Direct product G=NxQ with N=C₂²xS₃ and Q=C₂₀

		d	ρ	Label	ID
S₃xC₂²xC₂₀		240		S3xC2^2xC20	480,1151

Semidirect products G=N:Q with N=C₂²xS₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃):C₂₀ = C₅xC₂³.₆D₆	φ: C₂₀/C₅ → C₄ ⊆ Out C₂²xS₃	120	4	(C2^2xS3):C20	480,125
(C₂²xS₃):₂C₂₀ = C₅xS₃xC₂²:C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²xS₃	120		(C2^2xS3):2C20	480,759
(C₂²xS₃):₃C₂₀ = C₁₀xD₆:C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²xS₃	240		(C2^2xS3):3C20	480,806

Non-split extensions G=N.Q with N=C₂²xS₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃).C₂₀ = C₅xC₁₂.₄₆D₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂²xS₃	120	4	(C2^2xS3).C20	480,142
(C₂²xS₃).₂C₂₀ = C₅xD₆:C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²xS₃	240		(C2^2xS3).2C20	480,139
(C₂²xS₃).₃C₂₀ = C₁₀xC₈:S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²xS₃	240		(C2^2xS3).3C20	480,779
(C₂²xS₃).₄C₂₀ = C₅xS₃xM₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²xS₃	120	4	(C2^2xS3).4C20	480,785
(C₂²xS₃).₅C₂₀ = S₃xC₂xC₄₀	φ: trivial image	240		(C2^2xS3).5C20	480,778

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