On a maximal subgroup of the Thompson simple group

Ayoub Basheer Mohammed Basheer, Jamshid Moori


The present paper deals with a maximal subgroup of the Thompson group, namely the group $2^{1+8}_{+}{^{\cdot}}A_{9}:= \overline{G}.$ We compute its conjugacy classes using the coset analysis method, its inertia factor groups and Fischer matrices, which are required for the computations of the character table of $\overline{G}$ by means of Clifford-Fischer Theory.


Group extensions, character table, projective character, inertia groups, Fischer matrices

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ISSN: 1331-0623 (Print), 1848-8013 (Online)