Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅₀

Direct product G=NxQ with N=D₄ and Q=C₅₀

		d	ρ	Label	ID
D₄xC₅₀		200		D4xC50	400,46

Semidirect products G=N:Q with N=D₄ and Q=C₅₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:C₅₀ = D₈xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Out D₄	200	2	D4:C50	400,25
D₄:₂C₅₀ = C₄oD₄xC₂₅	φ: trivial image	200	2	D4:2C50	400,48

Non-split extensions G=N.Q with N=D₄ and Q=C₅₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₅₀ = SD₁₆xC₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Out D₄	200	2	D4.C50	400,26

Extensions 1→N→G→Q→1 with N=D4 and Q=C50