The complement of this graph is the Kneser graph $\mathrm{K}(30,2)$.
| Number of vertices: | $435$ |
| Diameter: | $2$ |
| Intersection array: | $\{56,27;1,4\}$ |
| Spectrum: | $56^1 26^{29} (-2)^{405}$ |
| Automorphism group: | $\mathrm{S}_{30}$ |
| Distance-transitive: | Yes |
| Primitive |