This graph is the complement of the Johnson graph $\mathrm{J}(31,2)$.
| Number of vertices: | $465$ |
| Diameter: | $2$ |
| Intersection array: | $\{406,54;1,378\}$ |
| Spectrum: | $406^1 1^{434} (-28)^{30}$ |
| Automorphism group: | $\mathrm{S}_{31}$ |
| Distance-transitive: | Yes |
| Primitive |