The complement of this graph is the Kneser graph $\mathrm{K}(28,2)$.
| Number of vertices: | $378$ |
| Diameter: | $2$ |
| Intersection array: | $\{52,25;1,4\}$ |
| Spectrum: | $52^1 24^{27} (-2)^{350}$ |
| Automorphism group: | $\mathrm{S}_{28}$ |
| Distance-transitive: | Yes |
| Primitive |