This graph is the unique rank-3 strongly regular graph with parameters $(1107,378,117,135)$. The local graph of this graph is the $\mathrm{NO}_7^{+ \perp}(3)$ graph.
| Number of vertices: | $1107$ |
| Diameter: | $2$ |
| Intersection array: | $\{378,260;1,135\}$ |
| Spectrum: | $378^1 9^{819} (-27)^{287}$ |
| Automorphism group: | $\mathrm{PGO}^-(8,3) \cong \mathrm{O}^-(8,3):2$ |
| Distance-transitive: | Yes |
| Primitive |