Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₅₀

Direct product G=NxQ with N=C₂xC₄ and Q=C₅₀

		d	ρ	Label	ID
C₂²xC₁₀₀		400		C2^2xC100	400,45

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁C₅₀ = C₂²:C₄xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂xC₄	200		(C2xC4):1C50	400,21
(C₂xC₄):₂C₅₀ = D₄xC₅₀	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂xC₄	200		(C2xC4):2C50	400,46
(C₂xC₄):₃C₅₀ = C₄oD₄xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂xC₄	200	2	(C2xC4):3C50	400,48

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁C₅₀ = C₄:C₄xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂xC₄	400		(C2xC4).1C50	400,22
(C₂xC₄).₂C₅₀ = M₄(2)xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂xC₄	200	2	(C2xC4).2C50	400,24
(C₂xC₄).₃C₅₀ = Q₈xC₅₀	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂xC₄	400		(C2xC4).3C50	400,47

Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C50