R40.9′

Statistics

genus c	40, orientable
Schläfli formula c	{8,7}
V / F / E c	48 / 42 / 168
notes
vertex, face multiplicity c	1, 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 group	PSL(3,2) ⋊ C2, with 336 elements
full symmetry group	672 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 c	R40.9′
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