All groups up to order 20 plus noteworthy groups of higher order
Cayley diagrams, multiplication tables, cycle graphs, and other visualizations available
Create sheets to see relationships among groups, or have Group Explorer create them for you
Developed by Nathan Carter and Ray Ellis
All those listed above, plus:
The textbook Visual Group Theory introduces the subject using almost exclusively visual means, and is a great companion to this software.
There is a 2005 article on the use of Group Explorer 1.5.8 in the classroom, but it has not been updated for the new version.