This graph is the complement of the Johnson graph $\mathrm{J}(33,2)$.
| Number of vertices: | $528$ |
| Diameter: | $2$ |
| Intersection array: | $\{465,58;1,435\}$ |
| Spectrum: | $465^1 1^{495} (-30)^{32}$ |
| Automorphism group: | $\mathrm{S}_{33}$ |
| Distance-transitive: | Yes |
| Primitive |