Cayley Diagrams

This is the index page to some pages on Cayley diagrams.

Small Groups giving Cayley diagrams for all groups with fewer than 32 elements; also, the periods of their elements; their centres; and their commutator subgroups.
Small Groups as above but excluding direct products, and using orange triangles to denote central extensions.
Platonic Solids giving Cayley diagrams drawn on symmetrical polyhedra
Plane Tilings giving Cayley diagrams drawn on the Euclidean plane
Infinite "Two-Ended" Groups giving Cayley diagrams for a very few infinite groups
Double Cayley diagrams, showing groups and their automorphism groups in the same diagram.
- A few small groups
- Small groups of prime order. These are more interesting for the pretty patterns that appear, than for any insight they give into the structure of the grous.