R57.2

Statistics

genus c57, orientable
Schläfli formula c{4,6}
V / F / E c 224 / 336 / 672
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
168, each with 8 edges
168, each with 8 edges
96, each with 14 edges
112, each with 12 edges
112, each with 12 edges
rotational symmetry groupC4 ⋊ (PSL(3,2) ⋊ C2), with 1344 elements
full symmetry group2688 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, srs‑1r‑1srs‑1r‑2s‑1rsr‑1s‑1rs, (rs‑1)8, s‑1rs‑3rs‑1rs‑1r2s2r‑1s‑1rs‑1r  >
C&D number cR57.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.2′.

List of regular maps in orientable genus 57.


Other Regular Maps

General Index