genus c55, orientable
Schläfli formula c{28,4}
V / F / E c 126 / 18 / 252
vertex, face multiplicity c1, 7
Petrie polygons
12, each with 42 edges
rotational symmetry group504 elements.
full symmetry group1008 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑3)2, (sr‑1)6, sr‑1s‑1r5sr‑1s2r‑5sr2  >
C&D number cR55.12′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.12.

Its Petrie dual is R58.1′.

It can be built by 7-splitting {4,4}(3,3).

List of regular maps in orientable genus 55.

Other Regular Maps

General Index