R71.5′

Statistics

genus c71, orientable
Schläfli formula c{8,6}
V / F / E c 112 / 84 / 336
notesreplete
vertex, face multiplicity c2, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
84, each with 8 edges
84, each with 8 edges
84, each with 8 edges
336, each with 2 edges
336, each with 2 edges
rotational symmetry groupC2 x (PSL(3,2) ⋊ C2), with 672 elements
full symmetry group1344 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑1s)2, r8, (sr‑2)4  >
C&D number cR71.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R71.5.

It is self-Petrie dual.

List of regular maps in orientable genus 71.


Other Regular Maps

General Index