This is one of two self-complementary, rank-3 strongly-regular graphs with parameters (729,364,181,182), the other being the Peisert graph on 729 vertices.
| Number of vertices: | 729 |
| Diameter: | 2 |
| Intersection array: | {364,182;1,182} |
| Spectrum: | 364113364(−14)364 |
| Automorphism group: | 36:364:6 |
| Distance-transitive: | Yes |
| Primitive |