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<h3>References</h3>


<p><a id="biButils" name="biButils"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BGH+22</span>]   <b class='BibAuthor'>Breuer, T., Gutsche, S., Horn, M., Hulpke, A., Kohl, S., Lübeck, F. and Wensley, C.</b>,
 <i class='BibTitle'>utils, Utility functions in GAP,
         Version 0.77</i>
 (<span class='BibYear'>2022</span>)<br />
(<span class='BibNote'>GAP package</span>),
<span class='BibHowpublished'><a href="https://gap-packages.github.io/utils">https://gap-packages.github.io/utils</a></span>.
</p>


<p><a id="biBMFER" name="biBMFER"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BHM09</span>]   <b class='BibAuthor'>Breuer, T., Höhler, I. and Müller, J.</b>,
 <i class='BibTitle'>MFER, multiplicity-free endomorphism rings of
         permutation modules of the sporadic simple groups
         and their cyclic and bicyclic extensions,
         Version 1.0.0</i>
 (<span class='BibYear'>2009</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~MFER">https://www.math.rwth-aachen.de/~MFER</a></span>.
</p>


<p><a id="biBBrowse" name="biBBrowse"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BL18</span>]   <b class='BibAuthor'>Breuer, T. and Lübeck, F.</b>,
 <i class='BibTitle'>Browse, ncurses interface and browsing applications,
         Version 1.8.9</i>
 (<span class='BibYear'>2018</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Browse">https://www.math.rwth-aachen.de/~Browse</a></span>.
</p>


<p><a id="biBBN95" name="biBBN95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1367961">BN95</a></span>]   <b class='BibAuthor'>Breuer, T. and Norton, S. P.</b>,
 <i class='BibTitle'>Improvements to the Atlas</i>,
 <span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
 <span class='BibSeries'>London Mathematical Society Monographs. New Series</span>,
 <em class='BibVolume'>11</em>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1995</span>),
 <span class='BibPages'>297–327</span><br />
(<span class='BibNote'>Appendix 2 by T. Breuer and S. Norton,
              Oxford Science Publications</span>).
</p>


<p><a id="biBCTBlocks" name="biBCTBlocks"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bre14</span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'><strong class='pkg'>CTBlocks</strong>,
         Blocks of Character Tables,
         Version 0.9.3</i>
 (<span class='BibYear'>2014</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/ctblocks">https://www.math.rwth-aachen.de/~Thomas.Breuer/ctblocks</a></span>.
</p>


<p><a id="biBCTblLib" name="biBCTblLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bre22</span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'>The <strong class='pkg'>GAP</strong> Character Table
      Library, Version 1.3.3</i>
 (<span class='BibYear'>2022</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib">https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib</a></span>.
</p>


<p><a id="biBBSW01" name="biBBSW01"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1842416">BSWW01</a></span>]   <b class='BibAuthor'>Bray, J. N., Suleiman, I. A. I., Walsh, P. G. and Wilson, R. A.</b>,
 <i class='BibTitle'>Generating maximal subgroups of sporadic simple groups</i>,
 <span class='BibJournal'>Comm. Algebra</span>,
 <em class='BibVolume'>29</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2001</span>),
 <span class='BibPages'>1325–1337</span>.
</p>


<p><a id="biBCCN85" name="biBCCN85"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=827219">CCN+85</a></span>]   <b class='BibAuthor'>Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A.</b>,
 <i class='BibTitle'>Atlas of finite groups</i>,
 <span class='BibPublisher'>Oxford University Press</span>,
 <span class='BibAddress'>Eynsham</span>
 (<span class='BibYear'>1985</span>),
 <span class='BibPages'>xxxiv+252 pages</span><br />
(<span class='BibNote'>Maximal subgroups and ordinary characters for simple groups,
              With computational assistance from J. G. Thackray</span>).
</p>


<p><a id="biBCP96" name="biBCP96"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CP96</span>]   <b class='BibAuthor'>Cannon, J. J. and Playoust, C.</b>,
 <i class='BibTitle'>An introduction to algebraic programming in Magma</i>,
 <span class='BibOrganization'>School of Mathematics and Statistics,
                University of Sydney</span>,
 <span class='BibAddress'>Sydney, Australia</span>
 (<span class='BibYear'>1996</span>),
<span class='BibHowpublished'><a href="http://www.math.usyd.edu.au:8000/u/magma">http://www.math.usyd.edu.au:8000/u/magma</a></span>.
</p>


<p><a id="biBGAP" name="biBGAP"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GAP19</span>]   
 <i class='BibTitle'><strong class='pkg'>GAP</strong> –
      Groups, Algorithms, and Programming,
      Version 4.10.2</i>,
 <span class='BibOrganization'>The GAP Group</span>
 (<span class='BibYear'>2019</span>),
<span class='BibHowpublished'><a href="http://www.gap-system.org">http://www.gap-system.org</a></span>.
</p>


<p><a id="biBHL89" name="biBHL89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1033265">HL89</a></span>]   <b class='BibAuthor'>Hiss, G. and Lux, K.</b>,
 <i class='BibTitle'>Brauer trees of sporadic groups</i>,
 <span class='BibPublisher'>The Clarendon Press, Oxford University Press</span>,
 <span class='BibSeries'>Oxford Science Publications</span>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1989</span>),
 <span class='BibPages'>x+526 pages</span>.
</p>


<p><a id="biBHup67" name="biBHup67"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0224703">Hup67</a></span>]   <b class='BibAuthor'>Huppert, B.</b>,
 <i class='BibTitle'>Endliche Gruppen. I</i>,
 <span class='BibPublisher'>Springer-Verlag</span>,
 <span class='BibSeries'>Die Grundlehren der Mathematischen Wissenschaften, Band 134</span>,
 <span class='BibAddress'>Berlin</span>
 (<span class='BibYear'>1967</span>),
 <span class='BibPages'>xii+793 pages</span>.
</p>


<p><a id="biBJan05" name="biBJan05"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2153793">Jan05</a></span>]   <b class='BibAuthor'>Jansen, C.</b>,
 <i class='BibTitle'>The minimal degrees of faithful representations of the
              sporadic simple groups and their covering groups</i>,
 <span class='BibJournal'>LMS J. Comput. Math.</span>,
 <em class='BibVolume'>8</em>
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>122–144 (electronic)</span>.
</p>


<p><a id="biBJLPW95" name="biBJLPW95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1367961">JLPW95</a></span>]   <b class='BibAuthor'>Jansen, C., Lux, K., Parker, R. and Wilson, R.</b>,
 <i class='BibTitle'>An atlas of Brauer characters</i>,
 <span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
 <span class='BibSeries'>London Mathematical Society Monographs. New Series</span>,
 <em class='BibVolume'>11</em>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1995</span>),
 <span class='BibPages'>xviii+327 pages</span><br />
(<span class='BibNote'>Appendix 2 by T. Breuer and S. Norton,
              Oxford Science Publications</span>).
</p>


<p><a id="biBJSON" name="biBJSON"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>JSO14</span>]    (<span class='BibEditor'>Bray, T.</span>, Ed.),
 <i class='BibTitle'>The JavaScript Object Notation (JSON) Data Interchange Format</i>
 (<span class='BibYear'>2014</span>),
<span class='BibHowpublished'><a href="http://www.rfc-editor.org/info/rfc7159">http://www.rfc-editor.org/info/rfc7159</a></span>.
</p>


<p><a id="biBGAPDoc" name="biBGAPDoc"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>LN18</span>]   <b class='BibAuthor'>Lübeck, F. and Neunhöffer, M.</b>,
 <i class='BibTitle'><strong class='pkg'>GAPDoc</strong>,
         A Meta Package for <strong class='pkg'>GAP</strong>
         Documentation,
         Version 1.6.2</i>
 (<span class='BibYear'>2018</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc</a></span>.
</p>


<p><a id="biBStandardFF" name="biBStandardFF"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lüb21</span>]   <b class='BibAuthor'>Lübeck, F.</b>,
 <i class='BibTitle'><strong class='pkg'>StandardFF</strong>,
         A <strong class='pkg'>GAP</strong> package for constructing finite fields</i>
 (<span class='BibYear'>2021</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://github.com/frankluebeck/StandardFF/">https://github.com/frankluebeck/StandardFF/</a></span>.
</p>


<p><a id="biBIO" name="biBIO"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Neu14</span>]   <b class='BibAuthor'>Neunhöffer, M.</b>,
 <i class='BibTitle'>IO, Bindings for low level C library IO,
         Version 4.3.1</i>
 (<span class='BibYear'>2014</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="http://www-groups.mcs.st-and.ac.uk/~neunhoef/Computer/Software/Gap/io.html">http://www-groups.mcs.st-and.ac.uk/~neunhoef/Computer/Software/Gap/io.html</a></span>.
</p>


<p><a id="biBNic06" name="biBNic06"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Nic06</span>]   <b class='BibAuthor'>Nickerson, S. J.</b>,
 <i class='BibTitle'>An Atlas of Characteristic Zero
      Representations</i>,
 <span class='BibType'>Phd thesis</span>,
 <span class='BibSchool'>School of Mathematics, University of Birmingham</span>
 (<span class='BibYear'>2006</span>).
</p>


<p><a id="biBTomLib" name="biBTomLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>NMP18</span>]   <b class='BibAuthor'>Naughton, L., Merkwitz, T. and Pfeiffer, G.</b>,
 <i class='BibTitle'>TomLib,
         The <strong class='pkg'>GAP</strong> Library of Tables of Marks,
         Version 1.2.7</i>
 (<span class='BibYear'>2018</span>)<br />
(<span class='BibNote'>GAP package</span>),
<span class='BibHowpublished'><a href="http://schmidt.nuigalway.ie/tomlib">http://schmidt.nuigalway.ie/tomlib</a></span>.
</p>


<p><a id="biBrecog" name="biBrecog"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>NSA+18</span>]   <b class='BibAuthor'>Neunhöffer, M., Seress, Á., Ankaralioglu, N., Brooksbank, P., Celler, F., Howe, S., Law, M., Linton, S., Malle, G., Niemeyer, A., O'Brien, E., Roney-Dougal, C. M. and Horn, M.,
 <i class='BibTitle'>recog, A collection of group recognition methods,
         Version 1.3.1</i>
 (<span class='BibYear'>2018</span>)<br />
(<span class='BibNote'>GAP package</span>),
<span class='BibHowpublished'><a href="https://gap-packages.github.io/recog">https://gap-packages.github.io/recog</a></span>.
</p>


<p><a id="biBNW05" name="biBNW05"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2172713">NW05</a></span>]   <b class='BibAuthor'>Nickerson, S. J. and Wilson, R. A.</b>,
 <i class='BibTitle'>Semi-presentations for the sporadic simple groups</i>,
 <span class='BibJournal'>Experiment. Math.</span>,
 <em class='BibVolume'>14</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>359–371</span>.
</p>


<p><a id="biBCMeatAxe" name="biBCMeatAxe"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Rin</span>]   <b class='BibAuthor'>Ringe, M.</b>,
 <i class='BibTitle'>The C MeatAxe,
         Version 2.4</i>,
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~MTX">https://www.math.rwth-aachen.de/~MTX</a></span>.
</p>


<p><a id="biBSWW00" name="biBSWW00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1765312">SWW00</a></span>]   <b class='BibAuthor'>Suleiman, I. A. I., Walsh, P. G. and Wilson, R. A.</b>,
 <i class='BibTitle'>Conjugacy classes in sporadic simple groups</i>,
 <span class='BibJournal'>Comm. Algebra</span>,
 <em class='BibVolume'>28</em> (<span class='BibNumber'>7</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>3209–3222</span>.
</p>


<p><a id="biBWil96" name="biBWil96"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1409225">Wil96</a></span>]   <b class='BibAuthor'>Wilson, R. A.</b>,
 <i class='BibTitle'>Standard generators for sporadic simple groups</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>184</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1996</span>),
 <span class='BibPages'>505–515</span>.
</p>


<p><a id="biBAGRv3" name="biBAGRv3"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>WWT+</span>]   <b class='BibAuthor'>Wilson, R. A., Walsh, P., Tripp, J., Suleiman, I., Parker, R. A., Norton, S. P., Nickerson, S., Linton, S., Bray, J. and Abbott, R.</b>,
 <i class='BibTitle'>ATLAS of Finite Group Representations</i>,
<span class='BibHowpublished'><a href="http://atlas.math.rwth-aachen.de/Atlas/v3">http://atlas.math.rwth-aachen.de/Atlas/v3</a></span>.
</p>

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