| Number of vertices: | $27$ |
| Diameter: | $3$ |
| Intersection array: | $\{8,6,1;1,3,8\}$ |
| Spectrum: | $8^1 2^{12} (-1)^8 (-4)^6$ |
| Distance-transitive: | No |
| Antipodal |
| Number of vertices: | $27$ |
| Diameter: | $3$ |
| Intersection array: | $\{8,6,1;1,3,8\}$ |
| Spectrum: | $8^1 2^{12} (-1)^8 (-4)^6$ |
| Distance-transitive: | Yes |
| Antipodal |