I was wondering whether or not there was an online encyclopedia of groups--finite or infinite. If there isn't, would you suppose that such a thing would be useful?
You may also want to read a nice article of Conway, Dietrich and O'Brien http://www.math.auckland.ac.nz/~obrien/research/gnu.pdf
And also the paper of Besche, Eick and O'Brien http://www.math.auckland.ac.nz/~obrien/research/2000.pdf which contains a table of the number of groups of order $n < 2001$.
Groups of order less than 30 are at http://opensourcemath.org/gap/small_groups.html
Also, http://world.std.com/~jmccarro/math/SmallGroups/SmallGroups.html goes up to order 32.