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

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

		d	ρ	Label	ID
C₅×C₃₀		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 = C₅×D₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₅	30	2	C15:1C10	150,11
C₁₅⋊₂C₁₀ = D₅×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₅	30	2	C15:2C10	150,8
C₁₅⋊₃C₁₀ = S₃×C₅²	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 = S₃×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₅	75	2	C15.C10	150,1

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