C17.1

Statistics

genus c	17, orientable
Schläfli formula c	{3,7}
V / F / E c	192 / 448 / 672
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	84, each with 16 edges 192, each with 7 edges 112, each with 12 edges 168, each with 8 edges 84, each with 16 edges
rotational symmetry group	(C2 x C2 x C2) . PSL(3,2), with 1344 elements
full symmetry group	1344 elements.
its presentation c	< r, s | r‑3, (rs)2, s‑7, s‑1rs‑2rs‑2rs‑2r‑1sr‑1sr‑1s‑2rs‑2rs‑2rs‑1, srs‑2rs‑3rs‑2rs‑1rs3r‑1s2r‑1s‑2rs2  >
C&D number c	C17.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C17.1′.

List of regular maps in orientable genus 17.

Other Regular Maps

General Index