This graph is the unique rank-3 strongly regular graph with parameters $(1080,351,126,108)$. The local graph of this graph is the $\mathrm{NO}_7^{- \perp}(3)$ graph.
| Number of vertices: | $1080$ |
| Diameter: | $2$ |
| Intersection array: | $\{351,224;1,108\}$ |
| Spectrum: | $351^1 27^{260} (-9)^{819}$ |
| Automorphism group: | $\mathrm{O}^+(8,3):2^2 \cong \mathrm{P}\Omega^+(8,3):2^2$ |
| Distance-transitive: | Yes |
| Primitive |