42, each with 8 edges
42, each with 8 edges
| genus c | 15, orientable |
| Schläfli formula c | {6,4} |
| V / F / E c | 84 / 56 / 168 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 42, each with 8 edges 42, each with 8 edges 42, each with 8 edges | |
| rotational symmetry group | PSL(3,2) ⋊ C2, with 336 elements |
| full symmetry group | 672 elements. |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, (rs‑1r)3 > |
| C&D number c | R15.4′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
List of regular maps in orientable genus 15.
| Orientable | |
| Non-orientable |