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ATLAS of Finite Group Representations
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.
Character Tables for Chemically Important Point Gr
By Achim Gelessus, Mainz.
Collapsed Adjacency Matrices, Character Tables and
A database of character tables of endomorphism rings.
Groups of Small Order
A list of isomorphism classes and further information on groups of order up to 30, by John Pedersen, University of South Florida.
Numbers of Small Groups
The good people at GAP, in particular Hans-Ulrich Besche and Bettina Eick have produced an explicit GAP catalogue of all the groups of order up to 1000 (with the exception of the orders 512 and 768). This table simply gives the number of groups contained in their catalogue, so you can quickly figure out how difficult your task is likely to be.