Extensions 1→N→G→Q→1 with N=C₂²×D₅ and Q=S₃

Direct product G=N×Q with N=C₂²×D₅ and Q=S₃

		d	ρ	Label	ID
C₂²×S₃×D₅		60		C2^2xS3xD5	240,202

Semidirect products G=N:Q with N=C₂²×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊S₃ = D₅×S₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₅	20	6+	(C2^2xD5):S3	240,194
(C₂²×D₅)⋊₂S₃ = C₂×C₁₅⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):2S3	240,145
(C₂²×D₅)⋊₃S₃ = C₂×C₃⋊D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):3S3	240,146
(C₂²×D₅)⋊₄S₃ = D₅×C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₅	60	4	(C2^2xD5):4S3	240,149

Non-split extensions G=N.Q with N=C₂²×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).S₃ = A₄⋊F₅	φ: S₃/C₁ → S₃ ⊆ Out C₂²×D₅	20	12+	(C2^2xD5).S3	240,192
(C₂²×D₅).₂S₃ = D₁₀⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5).2S3	240,26
(C₂²×D₅).₃S₃ = D₁₀.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₅	60	4	(C2^2xD5).3S3	240,124
(C₂²×D₅).₄S₃ = C₂²×C₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂²×D₅	60		(C2^2xD5).4S3	240,201
(C₂²×D₅).₅S₃ = C₂×D₅×Dic₃	φ: trivial image	120		(C2^2xD5).5S3	240,139

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