This is one of three self-complementary, rank-3 strongly regular graphs with parameters $(529,264,131,132)$, the other two being the Paley graph $P_{529}$, and the Sporadic Peisert graph on 529 vertices.
| Number of vertices: | $529$ |
| Diameter: | $2$ |
| Intersection array: | $\{264,132;1,132\}$ |
| Spectrum: | $264^1 11^{264} (-12)^{264}$ |
| Automorphism group: | $23^2:\left(11 \times \left(3:\mathrm{Q}_8\right)\right)$ |
| Distance-transitive: | Yes |
| Primitive |