R58.1′

Statistics

genus c	58, orientable
Schläfli formula c	{42,4}
V / F / E c	126 / 12 / 252
notes
vertex, face multiplicity c	1, 7
Petrie polygons	18, each with 28 edges
rotational symmetry group	504 elements.
full symmetry group	1008 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, rsr‑1sr‑1sr2s‑1r, (sr‑1)6, r3sr‑4sr4s‑1r‑1sr2  >
C&D number c	R58.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R58.1.

Its Petrie dual is R55.12′.

It can be built by 7-splitting S4:{6,4}.

List of regular maps in orientable genus 58.

Other Regular Maps

General Index