This graph is the complement of the Johnson graph $\mathrm{J}(25,2)$.
| Number of vertices: | $300$ |
| Diameter: | $2$ |
| Intersection array: | $\{253,42;1,231\}$ |
| Spectrum: | $253^1 1^{275} (-22)^{24}$ |
| Automorphism group: | $\mathrm{S}_{25}$ |
| Distance-transitive: | Yes |
| Primitive |