This graph is the complement of the Johnson graph $\mathrm{J}(29,2)$.
| Number of vertices: | $406$ |
| Diameter: | $2$ |
| Intersection array: | $\{351,50;1,325\}$ |
| Spectrum: | $351^1 1^{377} (-26)^{28}$ |
| Automorphism group: | $\mathrm{S}_{29}$ |
| Distance-transitive: | Yes |
| Primitive |