I am looking for lists of small 


-solvable groups


-nilpotents groups


-simple groups.


By this I mean, do there exist lists of all the groups of order smaller than $n$, for $n$ reasonably big, satisfying one of the above properties?


Does anyone know a reference for this?


Thanks in advance.



Lists of small groups
In <http://en.wikipedia.org/wiki/List_of_finite_simple_groups> there is a list of simple groups up to 9828. Moreover, the GAP small group library contains all groups of order less than 2000. 


