Dear GAP forum,
I am answering to the following about exceptional Weyl groups in GAP:
> Is there a way to get the character tables of the exceptional Weyl
> groups F4,E6,E7,E8 in GAP? ...
The tabels of E6 and E8 are contained in the GAP library ("U4(2).2" and
"2.O8+(2).2"), while that of E7 is the direct product of the table of
the cyclic group of order 2 and the simple group "S6(2)". The table of F4
is returned by 'CharTable("w(f4)")'.
One should note, however, that these tables do not contain the additional
information about canonical labellings of classes and characters which are
in the corresponding CHEVIE tables.
...I used the package CHEVIE for this last year,
but for some reason that doesn't work anymore;(it could be that I have an
old version of the package which is incompatible with 3.4). ...
Yes, there was a new release of CHEVIE to make it compatible with some changes
in GAP and, more seriously, some changes in MAPLE. It is available, as before,
from the ftp server on samson under /oub/chevie.
Best regards, Meinolf Geck