R57.2

Statistics

genus c	57, orientable
Schläfli formula c	{4,6}
V / F / E c	224 / 336 / 672
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	168, each with 8 edges 168, each with 8 edges 96, each with 14 edges 112, each with 12 edges 112, each with 12 edges
rotational symmetry group	C4 ⋊ (PSL(3,2) ⋊ C2), with 1344 elements
full symmetry group	2688 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, srs‑1r‑1srs‑1r‑2s‑1rsr‑1s‑1rs, (rs‑1)8, s‑1rs‑3rs‑1rs‑1r2s2r‑1s‑1rs‑1r  >
C&D number c	R57.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.2′.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index