The complement of this graph is the Kneser graph $\mathrm{K}(8,2)$. This is the first subconstituent of the halved folded 8-cube.
| Number of vertices: | $28$ |
| Diameter: | $2$ |
| Intersection array: | $\{12,5;1,4\}$ |
| Spectrum: | $12^1 4^7 (-2)^{20}$ |
| Automorphism group: | $\mathrm{S}_8$ |
| Distance-transitive: | Yes |
| Primitive |