From: Bettina EickSubject: Re: kinship Date: Thu, 31 Oct 1996 09:49:17 +0100 (MET) In the current distribution of the computer algebra system GAP you can find a list of groups of order at most 100 (up to isomorphism). I used GAP and this list to count the groups of order at most 100 with two generators of which at least one is of order 2. There are 243 of them (including abelian groups). I would be happy to give you the numbers of these groups in the GAP catalogue of groups of order at most 100. The groups in the catalogue are either given by power-commutator presentations (in the soluble case) and by permatutations otherwise. I could also supply the GAP program to compute this list of groups which you might like to use to filter out the groups having further constraints. Furthermore we just computed a list of all groups of order at most 1000 without the groups of order 512 and 768. This list is not yet included in the standard distribution of GAP, but I would be happy to give it to you if it would be of any help. All of this implies that you would have to use GAP. However, it seems to me that this would be the most suitable way to pass these groups to you and maybe GAP would be of further help for your investigations. I will send a mail directly to you with information on how to get GAP (it is free of charge) and how to use it for your purposes. Best wishes, Bettina Eick