This is one of two self-complementary, rank-3 strongly-regular graphs with these parameters, 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: | $7^2:(3 \times SL(2,3))$ |
Distance-transitive: | Yes |
Primitive |