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AIMS Mathematics

2020, Volume 5, Issue 3: 2113-2125. doi: 10.3934/math.2020140
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Research article

Computing the conjugacy classes and character table of a non-split extension 26·(25:S6) from a split extension 26:(25:S6)

  • Department of Mathematics and Physics, Cape Peninsula University of Technology, PO Box 1906, Bellville, 7535, South Africa
  • Received: 17 July 2019 Accepted: 04 February 2020 Published: 26 February 2020

  • MSC : 20C15, 20C40

  • 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 unique non-split extension $2^6{{}^{\cdot}}Sp_6(2)$.

    Citation: Abraham Love Prins. Computing the conjugacy classes and character table of a non-split extension 26·(25:S6) from a split extension 26:(25:S6)[J]. AIMS Mathematics, 2020, 5(3): 2113-2125. doi: 10.3934/math.2020140

    Related Papers:

  • 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 unique non-split extension $2^6{{}^{\cdot}}Sp_6(2)$.


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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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