N166.1′

Statistics

genus c	166, non-orientable
Schläfli formula c	{45,4}
V / F / E c	180 / 16 / 360
notes
vertex, face multiplicity c	1, 9
Petrie polygons	16, each with 45 edges
rotational symmetry group	1440 elements.
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, (sr‑4)2, sr‑2sr‑1s2r‑2sr‑1t, r‑45  >
C&D number c	N166.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N166.1.

It is self-Petrie dual.

List of regular maps in non-orientable genus 166.

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