The complement of this graph is the Kneser graph $\mathrm{K}(34,2)$.
| Number of vertices: | $561$ |
| Diameter: | $2$ |
| Intersection array: | $\{64,31;1,4\}$ |
| Spectrum: | $64^1 30^{33} (-2)^{527}$ |
| Automorphism group: | $\mathrm{S}_{34}$ |
| Distance-transitive: | Yes |
| Primitive |