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:

drawn on the plane, with arcs crossing as necessary
drawn on the torus
using orange triangles to denote central extensions

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 group.

Some more pages on groups