The complement of this graph is the Kneser graph $\mathrm{K}(18,2)$.
| Number of vertices: | $153$ |
| Diameter: | $2$ |
| Intersection array: | $\{32,15;1,4\}$ |
| Spectrum: | $32^1 14^{17} (-2)^{135}$ |
| Automorphism group: | $\mathrm{S}_{18}$ |
| Distance-transitive: | Yes |
| Primitive |