S7:{3,7}

Statistics

genus c	7, orientable
Schläfli formula c	{3,7}
V / F / E c	72 / 168 / 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 72, each with 7 edges 28, each with 18 edges 56, each with 9 edges 36, each with 14 edges
rotational symmetry group	PSL(2,8), with 504 elements
full symmetry group	1008 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 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:{7,3}.

Its Petrie dual is N154.5′.

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

Its 2-hole derivative is R55.32′.
Its 3-hole derivative is R63.7′.

List of regular maps in orientable genus 7.

Other Regular Maps

General Index