ATLAS of Finite Group Representations Save
Representations of many finite simple groups and related groups such as covering groups and automorphism groups of simple groups. Available by FTP in alternative formats: Meataxe ASCII, Meataxe binary, and GAP.
http://web.mat.bham.ac.uk/atlas/   

Character Tables for Chemically Important Point Groups Save
By Achim Gelessus, Mainz.
http://www.mpip-mainz.mpg.de/~gelessu...   

Collapsed Adjacency Matrices, Character Tables and Ramanujan Graphs Save
A database of character tables of endomorphism rings.
http://www.math.rwth-aachen.de/~Ines....   

Groups of Small Order Save
A list of isomorphism classes and further information on groups of order up to 30, by John Pedersen, University of South Florida.
http://www.math.usf.edu/~eclark/algct...   

Small Even Order Groups Save
Generators for small even ordered groups from 1 to 1000. Files use gzipped extensions and require downloading.
http://www.csse.uwa.edu.au/~gordon/re...   

Test Polynomials for Galois Groups Save
A table of polynomials for Galois groups over the rational numbers with degree up to 9. The table includes links to additional information for each equation.
http://world.std.com/~jmccarro/math/G...   

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