The complement of this graph is the Kneser graph $\mathrm{K}(22,2)$.
| Number of vertices: | $231$ |
| Diameter: | $2$ |
| Intersection array: | $\{40,19;1,4\}$ |
| Spectrum: | $40^1 18^{21} (-2)^{209}$ |
| Automorphism group: | $\mathrm{S}_{22}$ |
| Distance-transitive: | Yes |
| Primitive |