S6:{4,14}

Statistics

genus c6, orientable
Schläfli formula c{4,14}
V / F / E c 4 / 14 / 28
notesreplete is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c7, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
2, each with 28 edges
28, each with 2 edges
4, each with 14 edges
14, each with 4 edges
2, each with 28 edges
rotational symmetry group56 elements.
full symmetry group112 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s14  >
C&D number cR6.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{14,4}.

It can be 3-split to give R30.6.
It can be 5-split to give R54.8′.
It can be 7-split to give R78.12′.

It is a member of series m.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 7 . 4-cycle.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd