There exist precisely three rank-3 strongly regular graphs on 169 vertices. They are H(2,13), the Paley graph P169, and the graph below which is the unique rank-3 SRG(169,72,31,30).
| Number of vertices: | 169 |
| Diameter: | 2 |
| Intersection array: | {72,40;1,30} |
| Spectrum: | 721772(−6)96 |
| Automorphism group: | 132:(3×(SL2(3):4)) |
| Distance-transitive: | Yes |
| Primitive |