On this page I have listed those non-symmetric 2-designs with small parameters and whose numbers are completely determined. Since many of these include a large number of designs with trivial automorphism group, these have been ommitted. Thus the files only contain those designs that have an automorphism of at least 2. I do not give references to these as they are well documented in the CRC Handbook of Combinatorial Designs. They are given as v x b (0,1) matrices, in the usual notation, and in some cases the numbers are so great that I have ommitted those designs with a trivial automorphism group. The larger files are compressed using bzip2.