R40.9′

Statistics

genus c40, orientable
Schläfli formula c{8,7}
V / F / E c 48 / 42 / 168
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
84, each with 4 edges
42, each with 8 edges
56, each with 6 edges
56, each with 6 edges
24, each with 14 edges
rotational symmetry groupPSL(3,2) ⋊ C2, with 336 elements
full symmetry group672 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s‑7, r‑1s‑1rs2rs‑1r‑1, r8, (rs‑1r)3  >
C&D number cR40.9′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R40.9.

Its Petrie dual is R19.4.

Its 2-hole derivative is R40.10′.
Its 3-hole derivative is R33.37.

List of regular maps in orientable genus 40.


Other Regular Maps

General Index