This graph is the complement of the Johnson graph $\mathrm{J}(32,2)$.
| Number of vertices: | $496$ |
| Diameter: | $2$ |
| Intersection array: | $\{435,56;1,406\}$ |
| Spectrum: | $435^1 1^{464} (-29)^{31}$ |
| Automorphism group: | $\mathrm{S}_{32}$ |
| Distance-transitive: | Yes |
| Primitive |