R41.3

Statistics

genus c	41, orientable
Schläfli formula c	{4,6}
V / F / E c	160 / 240 / 480
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	24, each with 40 edges 80, each with 12 edges 120, each with 8 edges 40, each with 24 edges 40, each with 24 edges
rotational symmetry group	SL(2,5) ⋊ D8, with 960 elements
full symmetry group	1920 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, srs‑1rs‑1rs‑1rs2r‑1sr‑1s  >
C&D number c	R41.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R41.3′.

List of regular maps in orientable genus 41.

Other Regular Maps

General Index