This is one of two self-complementary, rank-3 strongly-regular graphs with parameters $(361,180,89,90)$, the other being the Paley graph $P_{361}$.
| Number of vertices: | $361$ |
| Diameter: | $2$ |
| Intersection array: | $\{180,90;1,90\}$ |
| Spectrum: | $180^1 9^{180} (-10)^{180}$ |
| Automorphism group: | $19^2:\left(9 \times \left(5:4\right)\right)$ |
| Distance-transitive: | Yes |
| Primitive |