R56.2

Statistics

genus c	56, orientable
Schläfli formula c	{3,12}
V / F / E c	110 / 440 / 660
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	110, each with 12 edges 110, each with 12 edges 132, each with 10 edges 220, each with 6 edges 132, each with 10 edges 132, each with 10 edges 60, each with 22 edges 264, each with 5 edges 330, each with 4 edges 132, each with 10 edges 132, each with 10 edges
rotational symmetry group	PSL(2,11) ⋊ C2, with 1320 elements
full symmetry group	2640 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s12, s2rs‑4r‑1s2r‑1s‑4rs2, s‑2rs‑3rs‑2r2s2r‑1s2r‑1s‑2rs‑1  >
C&D number c	R56.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R56.2′.

List of regular maps in orientable genus 56.

Other Regular Maps

General Index