R57.4′

Statistics

genus c	57, orientable
Schläfli formula c	{18,4}
V / F / E c	144 / 32 / 288
notes
vertex, face multiplicity c	1, 3
Petrie polygons	8, each with 72 edges
rotational symmetry group	576 elements.
full symmetry group	1152 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, rsr‑1sr‑1s2r‑1srs‑1r, r18  >
C&D number c	R57.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.4.

Its Petrie dual is R69.7′.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index