R51.20′

Statistics

genus c	51, orientable
Schläfli formula c	{36,8}
V / F / E c	36 / 8 / 144
notes
vertex, face multiplicity c	4, 18
Petrie polygons	4, each with 72 edges
rotational symmetry group	288 elements.
full symmetry group	576 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s8, r36  >
C&D number c	R51.20′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R51.20.

It can be built by 9-splitting S3:{4,8|2}.

List of regular maps in orientable genus 51.

Other Regular Maps

General Index

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