R67.10′

Statistics

genus c	67, orientable
Schläfli formula c	{10,8}
V / F / E c	60 / 48 / 240
notes
vertex, face multiplicity c	2, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	80, each with 6 edges 80, each with 6 edges 80, each with 6 edges 48, each with 10 edges 80, each with 6 edges 240, each with 2 edges 240, each with 2 edges
rotational symmetry group	(SL(2,5) ⋊ C2) ⋊ C2, with 480 elements
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s8, (sr‑1s2)2, r10, r2s‑1rs3r2s‑1rs‑1, r4s3r4s‑1  >
C&D number c	R67.10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R67.10.

Its Petrie dual is R71.11′.

It is its own 3-hole derivative.

List of regular maps in orientable genus 67.

Other Regular Maps

General Index