This graph is the complement of the Johnson graph $\mathrm{J}(20,2)$.
| Number of vertices: | $190$ |
| Diameter: | $2$ |
| Intersection array: | $\{153,32;1,136\}$ |
| Spectrum: | $153^1 1^{170} (-17)^{19}$ |
| Automorphism group: | $\mathrm{S}_{20}$ |
| Distance-transitive: | Yes |
| Primitive |