On maximal finite irreducible subgroups of 𝐺𝐿(𝑛,𝑍). II. The six dimensional case

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

Math. Comp. 31 (1977), 552-573 Request permission

All maximal finite absolutely irreducible subgroups of $GL(6,{\mathbf {Z}})$ are determined up to Z-equivalence.

References

Finite Collineation Groups

E. C. Dade, Integral systems of imprimitivity, Math. Ann. 154 (1964), 383–386. MR 161919, DOI 10.1007/BF01362571
Veikko Ennola, On the characters of the finite unitary groups, Ann. Acad. Sci. Fenn. Ser. A I No. 323 (1963), 35. MR 0156900
James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, Vol. 9, Springer-Verlag, New York-Berlin, 1972. MR 0323842, DOI 10.1007/978-1-4612-6398-2
J. H. Lindsey II, Finite linear groups of degree six, Canadian J. Math. 23 (1971), 771–790. MR 289665, DOI 10.4153/CJM-1971-086-x

Gesammelte Werke

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

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Gesammelte Abhandlungen

Olga Taussky, On a theorem of Latimer and MacDuffee, Canad. J. Math. 1 (1949), 300–302. MR 30491, DOI 10.4153/cjm-1949-026-1