Hello,
I was wondering if somebody could advise me on the best method to achieve the following with GAP: Given a group N and an order p^m, find all groups G of order p^m that have N as their Frattini subgroup.? For example: Let N be SmallGroup(3,1), let p=3 and m=4. Then I would like to find all groups G of order 81 with Frat(G)=N In this case I expect to find SmallGroups [ 81, 11 ], [ 81, 12 ], [ 81, 13 ], [ 81, 14 ] For small orders I am able to work backwards by filtering the small groups library, but I would like to be able to do this for large groups beyond the small groups library.? I had wondered whether the Frattini Extension method in the GrpConst package would be useful here, but could not see how to use it to achieve this. I would greatly appreciate any advice on this. Thank you for your time, James _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
