For this puzzle you need some knowledge about character values of sporadic simple groups. It is allowed to use the ATLAS or GAP to find a solution.
If you want to give a talk at this years Nikolaus conference you can win extra 5 minutes by solving this puzzle. But you are also invited to try it when you don't want the extra minutes or even don't come to the Nikolaus conference.
To get your personal puzzle you have to choose your favorite four sporadic simple groups (multiple choices of the same group are allowed).
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