R73.5

Statistics

genus c	73, orientable
Schläfli formula c	{3,15}
V / F / E c	96 / 480 / 720
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons 5th-order holes 5th-order Petrie polygons 6th-order holes 6th-order Petrie polygons 7th-order holes 7th-order Petrie polygons	36, each with 40 edges 96, each with 15 edges 60, each with 24 edges 72, each with 20 edges 120, each with 12 edges 240, each with 6 edges 36, each with 40 edges 120, each with 12 edges 180, each with 8 edges 120, each with 12 edges 72, each with 20 edges 48, each with 30 edges 60, each with 24 edges
rotational symmetry group	SL(2,5) ⋊ A4, with 1440 elements
full symmetry group	2880 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, srs‑2rs‑2rs‑1rs‑2rs2r‑1s2, s‑15  >
C&D number c	R73.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R73.5′.

List of regular maps in orientable genus 73.

Other Regular Maps

General Index