Extensions 1→N→G→Q→1 with N=C₅×D₅ and Q=S₃

Direct product G=N×Q with N=C₅×D₅ and Q=S₃

		d	ρ	Label	ID
C₅×S₃×D₅		30	4	C5xS3xD5	300,37

Semidirect products G=N:Q with N=C₅×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅)⋊S₃ = D₅×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₅	30	4+	(C5xD5):S3	300,39

Non-split extensions G=N.Q with N=C₅×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅).₁S₃ = C₅×C₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₅	60	4	(C5xD5).1S3	300,32
(C₅×D₅).₂S₃ = D₅.D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₅	60	4	(C5xD5).2S3	300,33

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Extensions 1→N→G→Q→1 with N=C5×D5 and Q=S3