This graph is the unique rank-3 strongly regular graph with parameters $(117,36,15,9)$. This graph is the local graph of the $\mathrm{NO}_7^{+ \perp}(3)$ graph. The local graph of this graph is the $\mathrm{NO}_6^-(2)$ graph.
| Number of vertices: | $117$ |
| Diameter: | $2$ |
| Intersection array: | $\{36,20;1,9\}$ |
| Spectrum: | $36^1 9^{26} (-3)^{90}$ |
| Automorphism group: | $\mathrm{PGO}^+(6,3) \cong \mathrm{PSL}(4,3).2$ |
| Distance-transitive: | Yes |
| Primitive |