Computing the conjugacy classes and character table of a non-split extension 2<sup>6</sup>·(2<sup>5</sup>:<em>S</em><sub>6</sub>) from a split extension 2<sup>6</sup>:(2<sup>5</sup>:<em>S</em><sub>6</sub>)

In this paper, we will demonstrate how the character table of a sub-maximal subgroup $2^6{:}(2^5{:}S_6)$ of the sporadic simple group $Fi_{22}$ can be used to obtain the conjugacy classes and character table of a non-split extension of the form $2^6{{}^{\cdot}}(2^5{:}S_6)$, which sits maximal in the...

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Bibliographic Details
Main Author: Abraham Love Prins
Format: Article
Language:English
Published: AIMS Press 2020-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020140/fulltext.html