S7:{7,3}

Statistics

genus c	7, orientable
Schläfli formula c	{7,3}
V / F / E c	168 / 72 / 252
notes
vertex, face multiplicity c	1, 1
Petrie polygons	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, s‑3, (sr)2, (st)2, (rt)2, r‑7, r‑2sr‑3sr‑2s‑1r2s‑1r2s‑1r‑2sr‑1  >
C&D number c	R7.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{3,7}.

Its Petrie dual is N58.2′.

It can be 2-split to give R49.4′.

List of regular maps in orientable genus 7.

Other Regular Maps

General Index