genus c | 92, orientable |
Schläfli formula c | {3,12} |
V / F / E c | 182 / 728 / 1092 |
notes | |
vertex, face multiplicity c | 1, 1 |
156, each with 14 edges 182, each with 12 edges 364, each with 6 edges 312, each with 7 edges 182, each with 12 edges 156, each with 14 edges 156, each with 14 edges 168, each with 13 edges 156, each with 14 edges 156, each with 14 edges 156, each with 14 edges | |
rotational symmetry group | PSL(2,13) ⋊ C2, with 2184 elements |
full symmetry group | 4368 elements. |
its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s12, s‑1r‑1s2rs‑2r‑1sr‑1s‑2rs2r‑1s‑2, s‑1rs‑2rs‑2rs‑2r‑2s‑2rs‑2rs‑2rs‑1, s3rs‑3rs‑2r‑1s2r‑1s‑3rs2r‑1s, s2r‑1s3rs‑3r‑1s2r‑1s4r‑1s2 > |
C&D number c | R92.1 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 92.
Orientable | |
Non-orientable |