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

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 defined by B. Fischer [2]. The group also has an outer automorphism group of order 24, isomorphic to the symmetric group on 4 symbols.

**[1]**R. H. Dye,*The simple group 𝐹𝐻(8,2) of order 2¹²⋅3⁵⋅5²⋅7 and the associated geometry of triality*, Proc. London Math. Soc. (3)**18**(1968), 521–562. MR**0225877****[2]**Bernd Fischer,*Finite groups generated by 3-transpositions. I*, Invent. Math.**13**(1971), 232–246. MR**0294487****[3]**David C. Hunt,*Character tables of certain finite simple groups*, Bull. Austral. Math. Soc.**5**(1971), 1–42. MR**0302753****[4]**G. E. Wall,*On the conjugacy classes in the unitary, symplectic and orthogonal groups*, J. Austral. Math. Soc.**3**(1963), 1–62. MR**0150210**

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DOI:
https://doi.org/10.1090/S0025-5718-1974-0369493-5

Article copyright:
© Copyright 1974
American Mathematical Society