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

Direct product G=NxQ with N=C₅ and Q=C₃:F₅

		d	ρ	Label	ID
C₅xC₃:F₅		60	4	C5xC3:F5	300,32

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) = C₁₅:F₅	φ: C₃:F₅/C₁₅ → C₄ ⊆ Aut C₅	75		C5:1(C3:F5)	300,34
C₅:₂(C₃:F₅) = C₁₅:₂F₅	φ: C₃:F₅/C₁₅ → C₄ ⊆ Aut C₅	30	4	C5:2(C3:F5)	300,35
C₅:₃(C₃:F₅) = D₅.D₁₅	φ: C₃:F₅/C₃xD₅ → C₂ ⊆ Aut C₅	60	4	C5:3(C3:F5)	300,33

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) = C₇₅:C₄	φ: C₃:F₅/C₁₅ → C₄ ⊆ Aut C₅	75	4	C5.(C3:F5)	300,6

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