This graph is an antipodal 4-cover of $U_6(2)$ graph.
| Number of vertices: | $2688$ |
| Diameter: | $4$ |
| Intersection array: | $\{176,135,36,1;1,12,135,176\}$ |
| Spectrum: | $176^1 44^{168} 8^{440} (-4)^{1848} (-16)^{231}$ |
| Automorphism group: | $2^2.U_6(2):S_3$ |
| Distance-transitive: | Yes |
| Antipodal |