Extensions 1→N→G→Q→1 with N=C₂₅ and Q=C₁₀

Direct product G=NxQ with N=C₂₅ and Q=C₁₀

		d	ρ	Label	ID
C₅xC₅₀		250		C5xC50	250,9

Semidirect products G=N:Q with N=C₂₅ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₅:C₁₀ = C₂₅:C₁₀	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₂₅	25	10+	C25:C10	250,6
C₂₅:₂C₁₀ = C₂x5_-¹⁺²	φ: C₁₀/C₂ → C₅ ⊆ Aut C₂₅	50	5	C25:2C10	250,11
C₂₅:₃C₁₀ = C₅xD₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₅	50	2	C25:3C10	250,3

׿

x

:

Z

F

o

wr

Q

<