Character tables of parabolic subgroups of Steinberg's triality groups

摘要

We compute the conjugacy classes of elements and the character tables of the parabolic subgroups of Steinberg's triality groups D-3(4)(q), where q is a power of an odd prime. Our main tools are Clifford theory applied to the Levi decomposition of the parabolic subgroups and the decomposition of restrictions of the unipotent characters of D-3(4)(q). For many of the calculations we use the CHEVIE package. (C) 2004 Elsevier Inc. All rights reserved.