S7:{3,7}

Statistics

genus c7, orientable
Schläfli formula c{3,7}
V / F / E c 72 / 168 / 252
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
28, each with 18 edges
72, each with 7 edges
28, each with 18 edges
56, each with 9 edges
36, each with 14 edges
rotational symmetry groupPSL(2,8), with 504 elements
full symmetry group1008 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s‑7, s‑2rs‑3rs‑2r‑1s2r‑1s2r‑1s‑2rs‑1  >
C&D number cR7.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{7,3}.

It can be 2-split to give R97.68.

List of regular maps in orientable genus 7.


Other Regular Maps

General Index