This is one of two self-complementary, rank-3 strongly-regular graphs with parameters $(49,24,11,12)$, the other being the Paley graph $P_{49}$.
| Number of vertices: | $49$ |
| Diameter: | $2$ |
| Intersection array: | $\{24,12;1,12\}$ |
| Spectrum: | $24^1 3^{24} (-4)^{24}$ |
| Automorphism group: | $7^2:\left(3 \times \mathrm{SL}(2,3)\right)$ |
| Distance-transitive: | Yes |
| Primitive |