The complement of this graph is the Kneser graph $\mathrm{K}(29,2)$.
| Number of vertices: | $406$ |
| Diameter: | $2$ |
| Intersection array: | $\{54,26;1,4\}$ |
| Spectrum: | $54^1 25^{28} (-2)^{377}$ |
| Automorphism group: | $\mathrm{S}_{29}$ |
| Distance-transitive: | Yes |
| Primitive |