The complement of this graph is the Kneser graph $\mathrm{K}(24,2)$.
| Number of vertices: | $276$ |
| Diameter: | $2$ |
| Intersection array: | $\{44,21;1,4\}$ |
| Spectrum: | $44^1 20^{23} (-2)^{252}$ |
| Automorphism group: | $\mathrm{S}_{24}$ |
| Distance-transitive: | Yes |
| Primitive |