R19.4′

Statistics

genus c	19, orientable
Schläfli formula c	{7,4}
V / F / E c	84 / 48 / 168
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	42, each with 8 edges 56, each with 6 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, s4, (sr)2, (st)2, (rt)2, r‑7, r‑1sr‑1sr‑1s2r‑1sr‑1sr‑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 N44.1′.

It can be 2-split to give R61.3′.

It is the result of rectifying R19.23.

List of regular maps in orientable genus 19.

Other Regular Maps

General Index