The complement of this graph is the Kneser graph $\mathrm{K}(31,2)$.
| Number of vertices: | $465$ |
| Diameter: | $2$ |
| Intersection array: | $\{58,28;1,4\}$ |
| Spectrum: | $58^1 27^{30} (-2)^{434}$ |
| Automorphism group: | $\mathrm{S}_{31}$ |
| Distance-transitive: | Yes |
| Primitive |