THE CHARACTER TABLES OF CENTRALIZERS IN SPORADIC SIMPLE GROUPS OF McL

To classify the finite dimensional pointed Hopf algebras with G = McL we obtain the representatives of conjugacy classes of G and all character tables of centralizers of these representatives by means of software GAP. 2000 Mathematics Subject Classification: 16W30,20D06 keywords: GAP, Hopf algebra, sporadic simple group, character. 0. Introduction This article is to contribute to the classification of finite-dimensional complex pointed Hopf algebras with sporadic simple group G = McL Many papers are about the classification of finite dimensional pointed Hopf algebras, for example, [AS02, AS00, AS05, He06, AHS08, AG03, AFZ, AZ07, Gr00, Fa07, AF06, AF07, ZZC, ZCZ, ZZWCY08]. In these research ones need the centralizers and character tables of groups. In this paper we obtain the representatives of conjugacy classes of sporadic simple group McL, as well as all character tables of centralizers of these representatives by means of software GAP. 1. McL In this section G denotes the sporadic simple group McL. We use a representation of G given in [Atlas]. 1.1. Program. gap > 1 2 SHOUCHUAN ZHANG, JIEQIONG HE, GUICHAO WU