R71.5

Statistics

genus c	71, orientable
Schläfli formula c	{6,8}
V / F / E c	84 / 112 / 336
notes
vertex, face multiplicity c	1, 2
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	84, each with 8 edges 84, each with 8 edges 48, each with 14 edges 168, each with 4 edges 112, each with 6 edges 112, each with 6 edges 112, each with 6 edges
rotational symmetry group	C2 x (PSL(3,2) ⋊ C2), with 672 elements
full symmetry group	1344 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s8, (rs‑2)4  >
C&D number c	R71.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R71.5′.

Its Petrie dual is R85.41.

It can be built by 2-splitting R8.1.

Its 3-hole derivative is R43.4.

List of regular maps in orientable genus 71.

Other Regular Maps

General Index