R9.10

Statistics

genus c	9, orientable
Schläfli formula c	{4,12}
V / F / E c	8 / 24 / 48
notes
vertex, face multiplicity c	3, 1
Petrie polygons	8, each with 12 edges
rotational symmetry group	96 elements.
full symmetry group	192 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑1rs‑1r2s‑1rs‑1, s12  >
C&D number c	R9.10
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.10′.

It can be 3-split to give R49.73.
It can be 5-split to give R89.49′.

List of regular maps in orientable genus 9.

Other Regular Maps

General Index

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720