Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅₀

Direct product G=NxQ with N=C₈ and Q=C₅₀

		d	ρ	Label	ID
C₂xC₂₀₀		400		C2xC200	400,23

Semidirect products G=N:Q with N=C₈ and Q=C₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁C₅₀ = D₈xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₈	200	2	C8:1C50	400,25
C₈:₂C₅₀ = SD₁₆xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₈	200	2	C8:2C50	400,26
C₈:₃C₅₀ = M₄(2)xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₈	200	2	C8:3C50	400,24

Non-split extensions G=N.Q with N=C₈ and Q=C₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.C₅₀ = Q₁₆xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₈	400	2	C8.C50	400,27

Extensions 1→N→G→Q→1 with N=C8 and Q=C50