R43.4

Statistics

genus c	43, orientable
Schläfli formula c	{4,8}
V / F / E c	84 / 168 / 336
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	112, each with 6 edges 84, each with 8 edges 48, each with 14 edges 112, each with 6 edges 84, each with 8 edges 112, each with 6 edges 112, each with 6 edges
rotational symmetry group	C2 x (PSL(3,2) ⋊ C2), with 672 elements
full symmetry group	1344 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s8, s‑1r‑1srs‑1r2s‑1rsr‑1s‑1, s2r‑1s2rs‑2rs2r‑1s2  >
C&D number c	R43.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R43.4′.

Its Petrie dual is R71.4.

Its 3-hole derivative is R71.5.

List of regular maps in orientable genus 43.

Other Regular Maps

General Index