This graph is one of two rank-3 strongly regular graphs with parameters $(364,120,38,40)$ the other being the $\mathrm{Sp}_6(3)$ graph.
| Number of vertices: | $364$ |
| Diameter: | $2$ |
| Intersection array: | $\{120,81;1,40\}$ |
| Spectrum: | $120^1 8^{195} (-10)^{168}$ |
| Automorphism group: | $\mathrm{PSO}(7,3) \cong \mathrm{O}_7(3):2$ |
| Distance-transitive: | Yes |
| Primitive |