R27.3′

Statistics

genus c	27, orientable
Schläfli formula c	{56,4}
V / F / E c	56 / 4 / 112
notes
vertex, face multiplicity c	1, 28
Petrie polygons	4, each with 56 edges
rotational symmetry group	224 elements.
full symmetry group	448 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r‑1sr‑1s2r‑1sr‑1, r14sr‑1sr13  >
C&D number c	R27.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R27.3.

It can be 3-split to give R83.2′.
It can be built by 7-splitting S3:{8,4|4}.

It is a member of series lt.

List of regular maps in orientable genus 27.

Other Regular Maps

General Index