R33.37′

Statistics

genus c	33, orientable
Schläfli formula c	{7,6}
V / F / E c	56 / 48 / 168
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	24, each with 14 edges 42, each with 8 edges 42, each with 8 edges 84, each with 4 edges 84, each with 4 edges
rotational symmetry group	PSL(3,2) ⋊ C2, with 336 elements
full symmetry group	672 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑2s)2, r‑7  >
C&D number c	R33.37′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R33.37.

Its Petrie dual is N90.4′.

It can be 2-split to give R89.20′.

List of regular maps in orientable genus 33.

Other Regular Maps

General Index