The complement of this graph is the Kneser graph $\mathrm{K}(37,2)$.
| Number of vertices: | $666$ |
| Diameter: | $2$ |
| Intersection array: | $\{70,34;1,4\}$ |
| Spectrum: | $70^1 33^{36} (-2)^{629}$ |
| Automorphism group: | $\mathrm{S}_{37}$ |
| Distance-transitive: | Yes |
| Primitive |