Extensions 1→N→G→Q→1 with N=C₂²xF₅ and Q=S₃

Direct product G=NxQ with N=C₂²xF₅ and Q=S₃

		d	ρ	Label	ID
C₂²xS₃xF₅		60		C2^2xS3xF5	480,1197

Semidirect products G=N:Q with N=C₂²xF₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xF₅):S₃ = F₅xS₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²xF₅	20	12+	(C2^2xF5):S3	480,1189
(C₂²xF₅):₂S₃ = C₂xD₆:F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂²xF₅	120		(C2^2xF5):2S3	480,1000
(C₂²xF₅):₃S₃ = F₅xC₃:D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²xF₅	60	8	(C2^2xF5):3S3	480,1010

Non-split extensions G=N.Q with N=C₂²xF₅ and Q=S₃

extension	φ:Q→Out N	d	Label	ID
(C₂²xF₅).₁S₃ = D₁₀.₂₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²xF₅	120	(C2^2xF5).1S3	480,243
(C₂²xF₅).₂S₃ = C₂xDic₃:F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂²xF₅	120	(C2^2xF5).2S3	480,1001
(C₂²xF₅).₃S₃ = C₂xDic₃xF₅	φ: trivial image	120	(C2^2xF5).3S3	480,998

Extensions 1→N→G→Q→1 with N=C22xF5 and Q=S3