Dear GAP Forum,
some time ago, Dmitrii Pasechnik wrote the following.
GAP libraries do not seem to contain the character table for E_6(2).
Does anyone have, by any chance, constructed such a table?
We would most appreciate having it available.
Meanwhile it turned out that in fact B. Fischer had computed this
character table,
and that Gerhard Hiss has a file containing the table.
For the moment, GAP readable versions are available for GAP 4 at
http://www.math.rwth-aachen.de/~Thomas.Breuer/E62/e62tbl.g4
and for GAP 3 at
http://www.math.rwth-aachen.de/~Thomas.Breuer/E62/e62tbl.g3
Reading the appropriate file in your GAP session will make the table
available as value of the variable `e62'.
With the next upgrade of the GAP character table library,
the character table of $E_6(2)$ will become available via the usual
`CharacterTable' function, with name `E6(2)'.
Thomas Breuer