This graph is the unique rank-3 strongly regular graph with parameters $(45,12,3,3)$. This graph is the local graph of the Zara graph on 126 vertices, a.k.a. the $\mathrm{NO}_6^-(3)$ graph.
| Number of vertices: | $45$ |
| Diameter: | $2$ |
| Intersection array: | $\{12,8;1,3\}$ |
| Spectrum: | $12^1 3^{20} (-3)^{24}$ |
| Automorphism group: | $PS_{p}(4,3):2$ |
| Distance-transitive: | Yes |
| Primitive |