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

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

		d	ρ	Label	ID
Dic₅²		80		Dic5^2	400,71

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅:₁Dic₅ = Dic₅:Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5:1Dic5	400,74
Dic₅:₂Dic₅ = C₄xD₅.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5:2Dic5	400,144
Dic₅:₃Dic₅ = C₂₀:₅F₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5:3Dic5	400,145

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁Dic₅ = C₂₀.₃₀D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.1Dic5	400,62
Dic₅.₂Dic₅ = C₂xC₅²:₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.2Dic5	400,146
Dic₅.₃Dic₅ = C₁₀².C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.3Dic5	400,147
Dic₅.₄Dic₅ = D₅xC₅:₂C₈	φ: trivial image	80	4	Dic5.4Dic5	400,60

׿

x

:

Z

F

o

wr

Q

<