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
C₅×C₃⋊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/C₃×D₅ → 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

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