| Vertices | 54 |
| Automorphism Group | 324 |
| Arc-transitivity | 2 |
| Diameter | 6 |
| Girth | 6 |
| Bipartite | Yes |
| Hamiltonian | Yes |
| Distance | 003 | 102 | 111 | 120 | 201 | 210 | 300 | Total |
|---|---|---|---|---|---|---|---|---|
| 0 | 1 | - | - | - | - | - | - | 1 |
| 1 | - | 3 | - | - | - | - | - | 3 |
| 2 | - | 6 | - | - | - | - | - | 6 |
| 3 | - | 6 | - | - | 3 | - | - | 9 |
| 4 | - | 9 | - | - | 3 | - | - | 12 |
| 5 | - | 9 | - | - | 6 | - | - | 15 |
| 6 | - | - | - | - | - | - | 8 | 8 |