Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×F₅

Direct product G=N×Q with N=C₅ and Q=C₃×F₅

		d	ρ	Label	ID
C₁₅×F₅		60	4	C15xF5	300,28

Semidirect products G=N:Q with N=C₅ and Q=C₃×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×F₅) = C₃×C₅⋊F₅	φ: C₃×F₅/C₁₅ → C₄ ⊆ Aut C₅	75		C5:1(C3xF5)	300,30
C₅⋊₂(C₃×F₅) = C₃×C₅²⋊C₄	φ: C₃×F₅/C₁₅ → C₄ ⊆ Aut C₅	30	4	C5:2(C3xF5)	300,31
C₅⋊₃(C₃×F₅) = C₃×D₅.D₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₅	60	4	C5:3(C3xF5)	300,29

Non-split extensions G=N.Q with N=C₅ and Q=C₃×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₃×F₅) = C₃×C₂₅⋊C₄	φ: C₃×F₅/C₁₅ → C₄ ⊆ Aut C₅	75	4	C5.(C3xF5)	300,5

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Extensions 1→N→G→Q→1 with N=C5 and Q=C3×F5