The complement of this graph is the Kneser graph $\mathrm{K}(23,2)$.
| Number of vertices: | $253$ |
| Diameter: | $2$ |
| Intersection array: | $\{42,20;1,4\}$ |
| Spectrum: | $42^1 19^{22} (-2)^{230}$ |
| Automorphism group: | $\mathrm{S}_{23}$ |
| Distance-transitive: | Yes |
| Primitive |