C49.3

Statistics

genus c49, orientable
Schläfli formula c{5,5}
V / F / E c 192 / 192 / 480
notesreplete singular Chiral
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
80, each with 12 edges
160, each with 6 edges
96, each with 10 edges
rotational symmetry group(C2 x C2 x C2 x C2) ⋊ A5, with 960 elements
full symmetry group960 elements.
its presentation c< r, s | (rs)2, r‑5, s‑5, (rs‑1)6, s‑1rs‑1r2s‑1r2sr‑1s‑2rs‑1  >
C&D number cC49.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its 2-hole derivative is C65.7′.
Its 2-hole derivative is C65.7′.

List of regular maps in orientable genus 49.


Other Regular Maps

General Index