Dear GAP Forum and Roger:

I'm not sure how to answer your GAP-theoretic question, however,
for the mathematical aspect, you might want to look at

E Formanek and D Sibley, "The group determinant determines
the group", Proc AMS vol 112, 1991, pp649-656

All the factors are explicitly given using representation theory.

- David Joyner

> Small Group Cayley Tables needed. I am a retired engineer using =
> Mathematica 4 to investigate the factors of the determinants of group
=
> Cayley Tables, with size 2^i *3^j up to 72 elements. As my knowledge
of =

<deleted>

--
David Joyner, wdj@usna.edu, Prof Math Dept, USNA, Annapolis, MD, USA
office: 410-293-6738, Chauvenet Hall 328, URL: http://tinah.mslab.usna.edu/