This graph is the complement of the Johnson graph $\mathrm{J}(30,2)$.
| Number of vertices: | $435$ |
| Diameter: | $2$ |
| Intersection array: | $\{378,52;1,351\}$ |
| Spectrum: | $378^1 1^{405} (-27)^{29}$ |
| Automorphism group: | $\mathrm{S}_{30}$ |
| Distance-transitive: | Yes |
| Primitive |