genus c | 51, orientable |
Schläfli formula c | {36,8} |
V / F / E c | 36 / 8 / 144 |
notes | ![]() |
vertex, face multiplicity c | 2, 12 |
16, each with 18 edges | |
rotational symmetry group | 288 elements. |
full symmetry group | 576 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, (sr‑2)2, s8, (sr‑1s2)2, r9sr‑1sr4s‑1r‑2sr2 > |
C&D number c | R51.18′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 51.
Orientable | |
Non-orientable |
Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720