Extensions 1→N→G→Q→1 with N=C₂²xC₅₀ and Q=C₂

Direct product G=NxQ with N=C₂²xC₅₀ and Q=C₂

		d	ρ	Label	ID
C₂³xC₅₀		400		C2^3xC50	400,55

Semidirect products G=N:Q with N=C₂²xC₅₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₅₀):₁C₂ = D₄xC₅₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₀	200	(C2^2xC50):1C2	400,46
(C₂²xC₅₀):₂C₂ = C₂xC₂₅:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₀	200	(C2^2xC50):2C2	400,44
(C₂²xC₅₀):₃C₂ = C₂³xD₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₀	200	(C2^2xC50):3C2	400,54

Non-split extensions G=N.Q with N=C₂²xC₅₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₅₀).₁C₂ = C₂²:C₄xC₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₀	200	(C2^2xC50).1C2	400,21
(C₂²xC₅₀).₂C₂ = C₂³.D₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₀	200	(C2^2xC50).2C2	400,19
(C₂²xC₅₀).₃C₂ = C₂²xDic₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₀	400	(C2^2xC50).3C2	400,43

Extensions 1→N→G→Q→1 with N=C22xC50 and Q=C2