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We describe computer calculations that were used in 2016 to classifysubgroups of the Monster isomorphic to $PSL_2(8)$, containing $7B$-elements. Itturns out that there is no such $PSL_2(8)$ in the Monster. These calculationsconfirm earlier unpublished calculations by P. E. Holmes that obtained the sameresult. The result has also been confirmed in independent calculations by H.Dietrich, M. Lee and T. Popiel, using different software by M. Seysen. Thusthis experimental result is shown to be reproducible.

On subgroups of the Monster isomorphic to $PSL_2(8)$