R19.18

Statistics

genus c	19, orientable
Schläfli formula c	{6,12}
V / F / E c	12 / 24 / 72
notes
vertex, face multiplicity c	3, 2
Petrie polygons	24, each with 6 edges
rotational symmetry group	144 elements.
full symmetry group	288 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, sr‑1s2r2s2r‑1s, srs‑3rs4  >
C&D number c	R19.18
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R19.18′.

It can be built by 2-splitting S4:{3,12}.

List of regular maps in orientable genus 19.

Other Regular Maps

General Index