Extensions 1→N→G→Q→1 with N=D₅ and Q=SD₃₂

Direct product G=N×Q with N=D₅ and Q=SD₃₂

		d	ρ	Label	ID
D₅×SD₃₂		80	4	D5xSD32	320,540

Non-split extensions G=N.Q with N=D₅ and Q=SD₃₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁SD₃₂ = C₈₀⋊₃C₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Out D₅	80	4	D5.1SD32	320,188
D₅.₂SD₃₂ = D₅.D₁₆	φ: SD₃₂/D₈ → C₂ ⊆ Out D₅	80	8+	D5.2SD32	320,242
D₅.₃SD₃₂ = D₅.Q₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Out D₅	80	8-	D5.3SD32	320,246

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁