This graph is the complement of the Johnson graph $\mathrm{J}(41,2)$.
| Number of vertices: | $820$ |
| Diameter: | $2$ |
| Intersection array: | $\{741,74;1,703\}$ |
| Spectrum: | $741^1 1^{779} (-38)^{40}$ |
| Automorphism group: | $\mathrm{S}_{41}$ |
| Distance-transitive: | Yes |
| Primitive |