R55.32′

Statistics

genus c	55, orientable
Schläfli formula c	{7,7}
V / F / E c	72 / 72 / 252
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	28, each with 18 edges 56, each with 9 edges 36, each with 14 edges 168, each with 3 edges 28, each with 18 edges
rotational symmetry group	PSL(2,8), with 504 elements
full symmetry group	1008 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s‑7, r‑7, (s‑2r)3, (sr‑2sr‑1)2  >
C&D number c	R55.32′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.32.

Its 2-hole derivative is R63.7′.
Its 3-hole derivative is S7:{3,7}.

List of regular maps in orientable genus 55.

Other Regular Maps

General Index