The complement of this graph is the Kneser graph $\mathrm{K}(41,2)$.
| Number of vertices: | $820$ |
| Diameter: | $2$ |
| Intersection array: | $\{78,38;1,4\}$ |
| Spectrum: | $78^1 37^{40} (-2)^{779}$ |
| Automorphism group: | $\mathrm{S}_{41}$ |
| Distance-transitive: | Yes |
| Primitive |