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 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 of order and the associated geometry of triality,"*Proc. London Math. Soc.*(3), v. 18, 1968, pp. 521-562. MR**37**#1468. MR**0225877 (37:1468)****[2]**B. Fischer, "Finite groups generated by 3-transpositions. I,"*Invent. Math.*, v. 13, 1971, pp. 232-246. MR**45**#3557. MR**0294487 (45:3557)****[3]**D. C. Hunt, "Character tables of certain finite simple groups,"*Bull. Austral. Math. Soc.*, v. 5, 1971, pp. 1-42. MR**46**#1896. MR**0302753 (46:1896)****[4]**G. E. Wall, "On the conjugacy classes in the unitary, symplectic and orthogonal groups,"*J. Austral. Math. Soc.*, v. 3, 1963, pp. 1-62. MR**27**#212. MR**0150210 (27:212)**

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

Article copyright:
© Copyright 1974
American Mathematical Society