S6:{6,8}₂₄

Statistics

genus c	6, orientable
Schläfli formula c	{6,8}
V / F / E c	6 / 8 / 24
notes
vertex, face multiplicity c	4, 3
Petrie polygons	2, each with 24 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r6, s8  >
C&D number c	R6.7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{8,6}₂₄.

Its Petrie dual is R9.25′.

It can be 5-split to give R42.6′.
It can be 7-split to give R60.6′.
It can be 11-split to give R96.9′.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index