Dear Forum, Dear Ayoub Basheer,

Since your group is a matrix group, at the moment the best way to proceed is to 
use IsomorphismPermGroup to convert to a permutation group, followed by
SmallerDegreePermutationRepresentation
to try to reduce the permutation degree. (This is substantial work trying to do 
so, but will help for the actual calculation, as it is very costly.)
Still the character table calculation takes about 2.5GB of workspace. I 
therefore wrote the result to a file
http://files.me.com/hulpke/98q36g

which you can read into GAP and which defines an object 
A
with the desired character table.

(In case anyone cares, the group is of structure 2^(1+1+8) : Sp_4(4) , it is 
likely that some thought (versus brute force computation) would get the table 
by hand.)

I hope this is of help.

Best,

   Alexander Hulpke



-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hul...@math.colostate.edu, Phone: ++1-970-4914288
http://www.math.colostate.edu/~hulpke



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