Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂₀

Direct product G=N×Q with N=C₁₅ and Q=C₂₀

		d	ρ	Label	ID
C₅×C₆₀		300		C5xC60	300,21

Semidirect products G=N:Q with N=C₁₅ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁C₂₀ = C₅×C₃⋊F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₁₅	60	4	C15:1C20	300,32
C₁₅⋊₂C₂₀ = C₁₅×F₅	φ: C₂₀/C₅ → C₄ ⊆ Aut C₁₅	60	4	C15:2C20	300,28
C₁₅⋊₃C₂₀ = C₅×Dic₁₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₅	60	2	C15:3C20	300,19
C₁₅⋊₄C₂₀ = C₁₅×Dic₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₅	60	2	C15:4C20	300,16
C₁₅⋊₅C₂₀ = Dic₃×C₅²	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₅	300		C15:5C20	300,18

Non-split extensions G=N.Q with N=C₁₅ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.C₂₀ = Dic₃×C₂₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₅	300	2	C15.C20	300,1

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