Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=S₃

Direct product G=N×Q with N=C₃×D₅ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×D₅		30	4	C3xS3xD5	180,26

Semidirect products G=N:Q with N=C₃×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊S₃ = D₅×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₅	45		(C3xD5):S3	180,27

Non-split extensions G=N.Q with N=C₃×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).₁S₃ = D₅×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₅	45	4+	(C3xD5).1S3	180,7
(C₃×D₅).₂S₃ = C₉⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₅	45	4	(C3xD5).2S3	180,6
(C₃×D₅).₃S₃ = C₃²⋊₃F₅	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₅	45		(C3xD5).3S3	180,22
(C₃×D₅).₄S₃ = C₃×C₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₅	30	4	(C3xD5).4S3	180,21

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Extensions 1→N→G→Q→1 with N=C3×D5 and Q=S3