genus c | 21, orientable |
Schläfli formula c | {4,24} |
V / F / E c | 8 / 48 / 96 |
notes | ![]() |
vertex, face multiplicity c | 6, 1 |
16, each with 12 edges | |
rotational symmetry group | 192 elements. |
full symmetry group | 384 elements. |
its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑1)4, (rs‑3)2, r‑1s5rs‑1r2s‑6 > |
C&D number c | R21.11 |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 21.
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