R92.1

Statistics

genus c92, orientable
Schläfli formula c{3,12}
V / F / E c 182 / 728 / 1092
notesreplete singular
vertex, face multiplicity c1, 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
156, each with 14 edges
182, each with 12 edges
364, each with 6 edges
312, each with 7 edges
182, each with 12 edges
156, each with 14 edges
156, each with 14 edges
168, each with 13 edges
156, each with 14 edges
156, each with 14 edges
156, each with 14 edges
rotational symmetry groupPSL(2,13) ⋊ C2, with 2184 elements
full symmetry group4368 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s12, s‑1r‑1s2rs‑2r‑1sr‑1s‑2rs2r‑1s‑2, s‑1rs‑2rs‑2rs‑2r‑2s‑2rs‑2rs‑2rs‑1, s3rs‑3rs‑2r‑1s2r‑1s‑3rs2r‑1s, s2r‑1s3rs‑3r‑1s2r‑1s4r‑1s2  >
C&D number cR92.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R92.1′.

List of regular maps in orientable genus 92.


Other Regular Maps

General Index