Dear Forum,
for some reason, Stefan's questions seem to have got stuck in the GAP
forum mail server. He has posted the same questions to the Group Pub
mailing list, where they have already been answered by Bob Howlett
and Martin Isaacs, except for the second part of the second question.
See the Group Pub archive at
http://www.maths.bath.ac.uk/~mail-arc/gpf/frm00385.html
http://www.maths.bath.ac.uk/~mail-arc/gpf/frm00384.html
All the best,
Burkhard.