| Vertices | 168 |
| Automorphism Group | 504 |
| Arc-transitivity | 1 |
| Diameter | 7 |
| Girth | 12 |
| Bipartite | Yes |
| Hamiltonian | Yes |
| Distance | 003 | 102 | 111 | 120 | 201 | 210 | 300 | Total |
|---|---|---|---|---|---|---|---|---|
| 0 | 1 | - | - | - | - | - | - | 1 |
| 1 | - | 3 | - | - | - | - | - | 3 |
| 2 | - | 6 | - | - | - | - | - | 6 |
| 3 | - | 12 | - | - | - | - | - | 12 |
| 4 | - | 24 | - | - | - | - | - | 24 |
| 5 | - | 48 | - | - | - | - | - | 48 |
| 6 | - | 18 | - | - | 27 | - | 8 | 53 |
| 7 | - | - | - | - | - | - | 21 | 21 |