This graph is the complement of the Johnson graph $\mathrm{J}(22,2)$.
| Number of vertices: | $231$ |
| Diameter: | $2$ |
| Intersection array: | $\{190,36;1,171\}$ |
| Spectrum: | $190^1 1^{209} (-19)^{21}$ |
| Automorphism group: | $\mathrm{S}_{22}$ |
| Distance-transitive: | Yes |
| Primitive |