I am using Sage to obtain the character table of different permutation groups using the command G.character_table(). Is there any implemented command in Sage that restricts an irreducible character (ie, row of the table) to a given subgroup?
Alternatively, as I am mainly interested in Sylow $p$-subgroups, is it possible to delete from the character table all conjugacy classes whose order is not a power of $p$? I have been doing this manually using G.conjugacy_classes() and working out which conjugacy classes have order a power $p$ as I did not manage to write a code that works out the order of the conjugacy classes.