Extensions 1→N→G→Q→1 with N=C₁₅ and Q=F₅

Direct product G=N×Q with N=C₁₅ and Q=F₅

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

Semidirect products G=N:Q with N=C₁₅ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁F₅ = C₁₅⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₁₅	75		C15:1F5	300,34
C₁₅⋊₂F₅ = C₁₅⋊₂F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₁₅	30	4	C15:2F5	300,35
C₁₅⋊₃F₅ = C₃×C₅⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₁₅	75		C15:3F5	300,30
C₁₅⋊₄F₅ = C₃×C₅²⋊C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₁₅	30	4	C15:4F5	300,31
C₁₅⋊₅F₅ = D₅.D₁₅	φ: F₅/D₅ → C₂ ⊆ Aut C₁₅	60	4	C15:5F5	300,33
C₁₅⋊₆F₅ = C₃×D₅.D₅	φ: F₅/D₅ → C₂ ⊆ Aut C₁₅	60	4	C15:6F5	300,29
C₁₅⋊₇F₅ = C₅×C₃⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₁₅	60	4	C15:7F5	300,32

Non-split extensions G=N.Q with N=C₁₅ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁F₅ = C₇₅⋊C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₁₅	75	4	C15.1F5	300,6
C₁₅.₂F₅ = C₃×C₂₅⋊C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₁₅	75	4	C15.2F5	300,5

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