Extensions 1→N→G→Q→1 with N=C₅₀ and Q=C₁₀

Direct product G=NxQ with N=C₅₀ and Q=C₁₀

		d	ρ	Label	ID
C₁₀xC₅₀		500		C10xC50	500,34

Semidirect products G=N:Q with N=C₅₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀:C₁₀ = C₂xC₂₅:C₁₀	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₅₀	50	10+	C50:C10	500,31
C₅₀:₂C₁₀ = C₂²x5_-¹⁺²	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅₀	100		C50:2C10	500,36
C₅₀:₃C₁₀ = C₁₀xD₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅₀	100	2	C50:3C10	500,28

Non-split extensions G=N.Q with N=C₅₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀.C₁₀ = C₅₀.C₁₀	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₅₀	100	10-	C50.C10	500,9
C₅₀.₂C₁₀ = C₄x5_-¹⁺²	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅₀	100	5	C50.2C10	500,14
C₅₀.₃C₁₀ = C₅xDic₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅₀	100	2	C50.3C10	500,6

Extensions 1→N→G→Q→1 with N=C50 and Q=C10