Extensions 1→N→G→Q→1 with N=D₈ and Q=Dic₅

Direct product G=NxQ with N=D₈ and Q=Dic₅

		d	ρ	Label	ID
D₈xDic₅		160		D8xDic5	320,776

Semidirect products G=N:Q with N=D₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₈:₁Dic₅ = C₁₀.D₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₈	160		D8:1Dic5	320,120
D₈:₂Dic₅ = D₈:₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:2Dic5	320,124
D₈:₃Dic₅ = D₈:Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₈	160		D8:3Dic5	320,779
D₈:₄Dic₅ = D₈:₄Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₈	80	4	D8:4Dic5	320,824
D₈:₅Dic₅ = D₈:₅Dic₅	φ: trivial image	80	4	D8:5Dic5	320,823

Non-split extensions G=N.Q with N=D₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁Dic₅ = C₂₀.₅₈D₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₈	160	4	D8.1Dic5	320,125
D₈.₂Dic₅ = D₈.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out D₈	80	4	D8.2Dic5	320,121

׿

x

:

Z

F

o

wr

Q

<