Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₁₀

Direct product G=NxQ with N=C₁₅ and Q=C₁₀

		d	ρ	Label	ID
C₅xC₃₀		150		C5xC30	150,13

Semidirect products G=N:Q with N=C₁₅ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅:₁C₁₀ = C₅xD₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₅	30	2	C15:1C10	150,11
C₁₅:₂C₁₀ = D₅xC₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₅	30	2	C15:2C10	150,8
C₁₅:₃C₁₀ = S₃xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₅	75		C15:3C10	150,10

Non-split extensions G=N.Q with N=C₁₅ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.C₁₀ = S₃xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₅	75	2	C15.C10	150,1

Extensions 1→N→G→Q→1 with N=C15 and Q=C10