Extensions 1→N→G→Q→1 with N=C₂²×C₅₀ and Q=C₂

Direct product G=N×Q with N=C₂²×C₅₀ and Q=C₂

		d	ρ	Label	ID
C₂³×C₅₀		400		C2^3xC50	400,55

Semidirect products G=N:Q with N=C₂²×C₅₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₅₀)⋊₁C₂ = D₄×C₅₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₀	200	(C2^2xC50):1C2	400,46
(C₂²×C₅₀)⋊₂C₂ = C₂×C₂₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₀	200	(C2^2xC50):2C2	400,44
(C₂²×C₅₀)⋊₃C₂ = C₂³×D₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₀	200	(C2^2xC50):3C2	400,54

Non-split extensions G=N.Q with N=C₂²×C₅₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₅₀).₁C₂ = C₂²⋊C₄×C₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₀	200	(C2^2xC50).1C2	400,21
(C₂²×C₅₀).₂C₂ = C₂³.D₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₀	200	(C2^2xC50).2C2	400,19
(C₂²×C₅₀).₃C₂ = C₂²×Dic₂₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₀	400	(C2^2xC50).3C2	400,43

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Extensions 1→N→G→Q→1 with N=C22×C50 and Q=C2