The complement of this graph is the Kneser graph $\mathrm{K}(35,2)$.
| Number of vertices: | $595$ |
| Diameter: | $2$ |
| Intersection array: | $\{66,32;1,4\}$ |
| Spectrum: | $66^1 31^{34} (-2)^{560}$ |
| Automorphism group: | $\mathrm{S}_{35}$ |
| Distance-transitive: | Yes |
| Primitive |