S6:{8,6}24

Statistics

genus c6, orientable
Schläfli formula c{8,6}
V / F / E c 8 / 6 / 24
notesreplete is not a polyhedral map
vertex, face multiplicity c3, 4
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order Petrie polygons
2, each with 24 edges
24, each with 2 edges
8, each with 6 edges
6, each with 8 edges
rotational symmetry group48 elements.
full symmetry group96 elements.
its presentation c< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s6, r8  >
C&D number cR6.7′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{6,8}24.

Its Petrie dual is S8{24,6}.

It can be 3-split to give R22.8′.
It can be 5-split to give R38.3′.
It can be 7-split to give R54.4′.
It can be 9-split to give R70.6′.
It can be 11-split to give R86.6′.

List of regular maps in orientable genus 6.


Other Regular Maps

General Index