S7:{4,16|4}

Statistics

genus c	7, orientable
Schläfli formula c	{4,16}
V / F / E c	4 / 16 / 32
notes
vertex, face multiplicity c	8, 1
Petrie polygons	4, each with 16 edges
rotational symmetry group	64 elements.
full symmetry group	128 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑1rs‑1r2s‑1rs‑1, s3rs‑1rs4  >
C&D number c	R7.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{16,4|4}.

It can be 3-split to give R35.10.
It can be 5-split to give R63.15′.
It can be 7-split to give R91.45′.

It is a member of series mt.

List of regular maps in orientable genus 7.

Other Regular Maps

General Index