Can GAP test, if two ordinary character tables are isomorphic?

Question

I'd like to ask the following question:

Is there a way to let GAP test, if two (previously with GAP computed) ordinary character tables are isomorphic?

Here, two ordinary character tables shall be called isomorphic, if you can permute the rows and columns of one character table to get the other one.

Thanks for the help.

Answer 1

The function TransformingPermutationsCharacterTables does exactly what you want. Manual at https://www.gap-system.org/Manuals/doc/ref/chap71.html#X7B0A669484470D09