From the webpage:
Primary features listed here, or read the version 2.2 release notes.
- Displays Cayley diagrams, multiplication tables, cycle graphs, and objects with symmetry
- Many common group-theoretic computations can be done visually
- Compare groups and subgroups via morphisms (see illustration below)
- Browsable, searchable group library
- Integrated help system (which you can preview on the web)
- Save and print images at any scale and quality
Are there symmetries in your data?
I first saw this in a tweet by Steven Strogatz.
BTW, Steven also points to this example of using Group Explorer: Cayley diagrams of the first five symmetric groups.