R49.3

Statistics

genus c	49, orientable
Schläfli formula c	{3,14}
V / F / E c	72 / 336 / 504
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	42, each with 24 edges 72, each with 14 edges 168, each with 6 edges 84, each with 12 edges 42, each with 24 edges 252, each with 4 edges 126, each with 8 edges 48, each with 21 edges 168, each with 6 edges 168, each with 6 edges 126, each with 8 edges 168, each with 6 edges 168, each with 6 edges
rotational symmetry group	PSL(3,2) x S3, with 1008 elements
full symmetry group	2016 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s14, srs‑2rs‑3rs‑3rs‑2rs, s‑1r‑1s2rs‑2rs‑1rs‑2rs2r‑1s‑2  >
C&D number c	R49.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R49.3′.

List of regular maps in orientable genus 49.

Other Regular Maps

General Index