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 |