genus c | 1, orientable |
Schläfli formula c | {4,4} |
V / F / E c | 162 / 162 / 324 |
notes | ![]() ![]() ![]() ![]() |
vertex, face multiplicity c | 1, 1 |
36, each with 18 edges 36, each with 18 edges | |
rotational symmetry group | ((C9×C9)⋊C4)×C2, with 648 elements |
full symmetry group | 1296 elements. |
C&D number c | R1.s9-9 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is a member of series μ° .
List of regular maps in orientable genus 1.
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