R45.3′

Statistics

genus c	45, orientable
Schläfli formula c	{22,3}
V / F / E c	242 / 33 / 363
notes
vertex, face multiplicity c	1, 1
Petrie polygons	121, each with 6 edges
rotational symmetry group	726 elements.
full symmetry group	1452 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (rs‑1r)3, r22  >
C&D number c	R45.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R45.3.

It is a member of series ξ° .

List of regular maps in orientable genus 45.

Underlying Graph

Its skeleton is torus-h-11-11.

Other Regular Maps

General Index

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720