R57.41′

Statistics

genus c57, orientable
Schläfli formula c{12,8}
V / F / E c 48 / 32 / 192
notesreplete
vertex, face multiplicity c1, 3
Petrie polygons
32, each with 12 edges
rotational symmetry group384 elements.
full symmetry group768 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s8, sr‑2s2rs‑1r‑1, r12  >
C&D number cR57.41′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.41.

It can be built by 3-splitting R9.6.

List of regular maps in orientable genus 57.


Other Regular Maps

General Index