This graph is the complement of the Johnson graph $\mathrm{J}(21,2)$.
| Number of vertices: | $210$ |
| Diameter: | $2$ |
| Intersection array: | $\{171,34;1,153\}$ |
| Spectrum: | $171^1 1^{189} (-18)^{20}$ |
| Automorphism group: | $\mathrm{S}_{21}$ |
| Distance-transitive: | Yes |
| Primitive |