S7:{3,12}

Statistics

genus c	7, orientable
Schläfli formula c	{3,12}
V / F / E c	12 / 48 / 72
notes
vertex, face multiplicity c	2, 1
Petrie polygons	6, each with 24 edges
rotational symmetry group	144 elements.
full symmetry group	288 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s‑1rs‑2rs‑1rs‑2rs‑2  >
C&D number c	R7.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{12,3}.

Its Petrie dual is N56.7′.

It can be 2-split to give R37.25.

List of regular maps in orientable genus 7.

Other Regular Maps

General Index