Extensions 1→N→G→Q→1 with N=C₇×D₅ and Q=S₃

Direct product G=N×Q with N=C₇×D₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₇×D₅		105	4	S3xC7xD5	420,27

Semidirect products G=N:Q with N=C₇×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₅)⋊S₃ = D₅×D₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₅	105	4+	(C7xD5):S3	420,28

Non-split extensions G=N.Q with N=C₇×D₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₅).₁S₃ = C₅⋊Dic₂₁	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₅	105	4	(C7xD5).1S3	420,23
(C₇×D₅).₂S₃ = C₇×C₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₇×D₅	105	4	(C7xD5).2S3	420,22

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Extensions 1→N→G→Q→1 with N=C7×D5 and Q=S3