R41.3

Statistics

genus c41, orientable
Schläfli formula c{4,6}
V / F / E c 160 / 240 / 480
notesreplete singular
vertex, face multiplicity c1, 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 groupSL(2,5) ⋊ D8, with 960 elements
full symmetry group1920 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 cR41.3
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