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