This graph is the complement of the Johnson graph $\mathrm{J}(26,2)$.
| Number of vertices: | $325$ |
| Diameter: | $2$ |
| Intersection array: | $\{276,44;1,253\}$ |
| Spectrum: | $276^1 1^{299} (-23)^{25}$ |
| Automorphism group: | $\mathrm{S}_{26}$ |
| Distance-transitive: | Yes |
| Primitive |