This graph is the unique rank-3 $\mathrm{SRG}(135,64,28,32)$. This graph is the complement of the $\mathrm{O}_8^+(2)$ graph.
| Number of vertices: | $135$ |
| Diameter: | $2$ |
| Intersection array: | $\{64,35;1,32\}$ |
| Spectrum: | $64^1 4^{84} (-8)^{50}$ |
| Automorphism group: | $\mathrm{PSO}^+(8,2)$ |
| Distance-transitive: | Yes |
| Primitive |