Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅xC₁₀

Direct product G=NxQ with N=D₄ and Q=C₅xC₁₀

		d	ρ	Label	ID
D₄xC₅xC₁₀		200		D4xC5xC10	400,202

Semidirect products G=N:Q with N=D₄ and Q=C₅xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:(C₅xC₁₀) = D₈xC₅²	φ: C₅xC₁₀/C₅² → C₂ ⊆ Out D₄	200		D4:(C5xC10)	400,113
D₄:₂(C₅xC₁₀) = C₄oD₄xC₅²	φ: trivial image	200		D4:2(C5xC10)	400,204

Non-split extensions G=N.Q with N=D₄ and Q=C₅xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅xC₁₀) = SD₁₆xC₅²	φ: C₅xC₁₀/C₅² → C₂ ⊆ Out D₄	200		D4.(C5xC10)	400,114

Extensions 1→N→G→Q→1 with N=D4 and Q=C5xC10