| Number of vertices: | $65$ |
| Diameter: | $2$ |
| Intersection array: | $\{32,16;1,16\}$ |
| Spectrum: | $32^1 \left(\frac{-1+\sqrt{65}}{2}\right)^{32} \left(\frac{-1-\sqrt{65}}{2}\right)^{32}$ |
| Automorphism group: | $Q_{32}$ (intransitive) |
| Distance-transitive: | No |
| Primitive |