R57.15

Statistics

genus c	57, orientable
Schläfli formula c	{6,6}
V / F / E c	112 / 112 / 336
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	84, each with 8 edges 168, each with 4 edges 112, each with 6 edges 84, each with 8 edges 84, each with 8 edges
rotational symmetry group	C2 x (PSL(3,2) ⋊ C2)2, with 672 elements
full symmetry group	1344 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (rs‑1)4, r‑1s2rs‑1r2s‑1rs2r‑1, sr2s‑2r2sr‑1s2r‑1  >
C&D number c	R57.15
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is R71.9′.

It can be rectified to give R57.2′.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index