R15.4

Statistics

genus c15, orientable
Schläfli formula c{4,6}
V / F / E c 56 / 84 / 168
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
42, each with 8 edges
42, each with 8 edges
24, each with 14 edges
112, each with 3 edges
56, each with 6 edges
rotational symmetry groupPSL(3,2) ⋊ C2, with 336 elements
full symmetry group672 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, (sr‑1s)3  >
C&D number cR15.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R15.4′.

List of regular maps in orientable genus 15.


Other Regular Maps

General Index