R19.4

Statistics

genus c	19, orientable
Schläfli formula c	{4,7}
V / F / E c	48 / 84 / 168
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	42, each with 8 edges 56, each with 6 edges 42, each with 8 edges 24, each with 14 edges 56, each with 6 edges
rotational symmetry group	C2 x PSL(3,2), with 336 elements
full symmetry group	672 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑7, s‑1rs‑1rs‑1r2s‑1rs‑1rs‑1  >
C&D number c	R19.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R19.4′.

Its Petrie dual is R40.9′.

Its 2-hole derivative is R33.38.
Its 3-hole derivative is R49.58′.

List of regular maps in orientable genus 19.

Other Regular Maps

General Index