how does one go about constructing the character table for a group? while only knowing the group, and the classes. I was thinking of starting to construct representations and diagonalizing them but that seems like it would take an exorbitant amount of time.(adsbygoogle = window.adsbygoogle || []).push({});

is there a method for constructing the character table without knowing the irreducible representations?

sorry if this should be moved, this is related to a homework problem, but as its talking more about methods I thought it could go here.

Also on asimilar note if the group contains an invariant subgroup how does this affect the character table

Edit: I realised this is a physicist thing, but the character is the trace of a matrix representation, and the class is what mathematicians know as a conjugacy class

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# Character tables

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