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Mathematics of Computation

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The character table of an eight-dimensional orthogonal group


Author: David C. Hunt
Journal: Math. Comp. 28 (1974), 659-660
MSC: Primary 20C15; Secondary 20D05
DOI: https://doi.org/10.1090/S0025-5718-1974-0369493-5
MathSciNet review: 0369493
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Abstract: This paper describes the calculation of the character table of the 8-dimensional orthogonal group of maximal index over the field with 3 elements. The group is of interest as it is a subgroup of relatively small index in the sporadic simple group $ M(23)$ defined by B. Fischer [2]. The group also has an outer automorphism group of order 24, isomorphic to the symmetric group on 4 symbols.


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DOI: https://doi.org/10.1090/S0025-5718-1974-0369493-5
Article copyright: © Copyright 1974 American Mathematical Society

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