genus c | 45, orientable |
Schläfli formula c | {10,3} |
V / F / E c | 440 / 132 / 660 |
notes | |
vertex, face multiplicity c | 1, 1 |
60, each with 22 edges | |
rotational symmetry group | PSL(2,11) ⋊ C2, with 1320 elements |
full symmetry group | 2640 elements. |
its presentation c | < r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r10, r‑1s‑1r2s‑1r3s2r3s‑1r2s‑1r‑1, r‑1s‑1r2sr‑3s‑1rs‑1r‑2sr3s‑1r‑2 > |
C&D number c | R45.1′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 45.
Orientable | |
Non-orientable |