Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=C₁₄

Direct product G=N×Q with N=C₃×D₅ and Q=C₁₄

		d	ρ	Label	ID
D₅×C₄₂		210	2	D5xC42	420,35

Semidirect products G=N:Q with N=C₃×D₅ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊C₁₄ = S₃×C₇×D₅	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₅	105	4	(C3xD5):C14	420,27

Non-split extensions G=N.Q with N=C₃×D₅ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).₁C₁₄ = C₇×C₃⋊F₅	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₅	105	4	(C3xD5).1C14	420,22
(C₃×D₅).₂C₁₄ = F₅×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×D₅	105	4	(C3xD5).2C14	420,20

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Extensions 1→N→G→Q→1 with N=C3×D5 and Q=C14