R85.20

Statistics

genus c	85, orientable
Schläfli formula c	{6,6}
V / F / E c	168 / 168 / 504
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	126, each with 8 edges 84, each with 12 edges 168, each with 6 edges 126, each with 8 edges 126, each with 8 edges
rotational symmetry group	C3 x (PSL(3,2) ⋊ C2), with 1008 elements
full symmetry group	2016 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, r‑1s2rs‑1r2s‑1rs2r‑1, sr2s‑2r2sr‑1s2r‑1, s‑1r‑1srs‑1r3s‑1rsr‑1s‑2  >
C&D number c	R85.20
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

List of regular maps in orientable genus 85.

Other Regular Maps

General Index