Extensions 1→N→G→Q→1 with N=D₅ and Q=Dic₁₀

Direct product G=N×Q with N=D₅ and Q=Dic₁₀

		d	ρ	Label	ID
D₅×Dic₁₀		80	4-	D5xDic10	400,163

Non-split extensions G=N.Q with N=D₅ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁Dic₁₀ = D₅.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₅	80	8-	D5.1Dic10	400,119
D₅.₂Dic₁₀ = C₂₀⋊₅F₅	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out D₅	80	4	D5.2Dic10	400,145

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁