On maximal finite irreducible subgroups of 𝐺𝐿(𝑛,𝑍). III. The nine-dimensional case

On maximal finite irreducible subgroups of $\textrm {GL}(n, \textbf {Z})$. III. The nine-dimensional case
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by Wilhelm Plesken and Michael Pohst PDF

Math. Comp. 34 (1980), 245-258 Request permission

All maximal finite absolutely irreducible subgroups of $GL(9,{\mathbf {Z}})$ are determined up to conjugacy in $GL(9,{\mathbf {Z}})$.

References

Finite Collineation Groups

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Wilhelm Plesken and Michael Pohst, On maximal finite irreducible subgroups of $\textrm {GL}(n, \textbf {Z})$. I. The five and seven dimensional cases, Math. Comp. 31 (1977), no. 138, 536–551. MR 444789, DOI 10.1090/S0025-5718-1977-0444789-X
Wilhelm Plesken and Michael Pohst, On maximal finite irreducible subgroups of $\textrm {GL}(n, \textbf {Z})$. I. The five and seven dimensional cases, Math. Comp. 31 (1977), no. 138, 536–551. MR 444789, DOI 10.1090/S0025-5718-1977-0444789-X
Charles C. Sims, Computational methods in the study of permutation groups, Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967) Pergamon, Oxford, 1970, pp. 169–183. MR 0257203