R85.12′

Statistics

genus c	85, orientable
Schläfli formula c	{8,4}
V / F / E c	336 / 168 / 672
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	224, each with 6 edges 168, each with 8 edges 168, each with 8 edges
rotational symmetry group	C4 x (PSL(3,2) ⋊ C2), with 1344 elements
full symmetry group	2688 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r8, r‑1s‑1rsr‑1s2r‑1srs‑1r‑1, r‑3s‑1r2s‑2r‑2sr2s‑1r‑1s  >
C&D number c	R85.12′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R85.12.

Its Petrie dual is R57.2′.

List of regular maps in orientable genus 85.

Other Regular Maps

General Index