This graph is the complement of the Johnson graph $\mathrm{J}(28,2)$.
| Number of vertices: | $378$ |
| Diameter: | $2$ |
| Intersection array: | $\{325,48;1,300\}$ |
| Spectrum: | $325^1 1^{350} (-25)^{27}$ |
| Automorphism group: | $\mathrm{S}_{28}$ |
| Distance-transitive: | Yes |
| Primitive |