| Number of vertices: | $52$ |
| Diameter: | $3$ |
| Intersection array: | $\{6,3,3;1,1,2\}$ |
| Spectrum: | $6^1 (2+\sqrt{3})^{12} (2-\sqrt{3})^{12} (-2)^{27}$ |
| Automorphism group: | $\mathrm{Aut}(\mathrm{PSL}(3,3))\cong \mathrm{PSL}(3,3):2$ |
| Distance-transitive: | Yes |
| Primitive |