Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅:D₅

Direct product G=NxQ with N=D₄ and Q=C₅:D₅

		d	ρ	Label	ID
D₄xC₅:D₅		100		D4xC5:D5	400,195

Semidirect products G=N:Q with N=D₄ and Q=C₅:D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:(C₅:D₅) = C₅²:₇D₈	φ: C₅:D₅/C₅² → C₂ ⊆ Out D₄	200		D4:(C5:D5)	400,103
D₄:₂(C₅:D₅) = C₂₀.D₁₀	φ: trivial image	200		D4:2(C5:D5)	400,196

Non-split extensions G=N.Q with N=D₄ and Q=C₅:D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅:D₅) = C₅²:₈SD₁₆	φ: C₅:D₅/C₅² → C₂ ⊆ Out D₄	200		D4.(C5:D5)	400,104

Extensions 1→N→G→Q→1 with N=D4 and Q=C5:D5