S6:{8,6}₁₂

Statistics

genus c	6, orientable
Schläfli formula c	{8,6}
V / F / E c	8 / 6 / 24
notes
vertex, face multiplicity c	2, 2
Petrie polygons	4, each with 12 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑1s)2, r‑1s‑3r‑3  >
C&D number c	R6.8′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{6,8}₁₂.

Its Petrie dual is S7:{12,6}.

It can be 3-split to give R22.11′.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 2 . cubic graph.

Other Regular Maps

General Index