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<h3>References</h3>


<p><a id="biBBe00" name="biBBe00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1799483">Ber00</a></span>]   <b class='BibAuthor'>Bereczky, Á.</b>,
<a href="http://dx.doi.org/10.1006/jabr.2000.8458"><i class='BibTitle'>Maximal overgroups of Singer elements in classical
      groups</i></a>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>234</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>187–206</span>.
</p>


<p><a id="biBBG21" name="biBBG21"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BG</span>]   <b class='BibAuthor'>Breuer, T. and Guralnick, R. M.</b>,
 <i class='BibTitle'>Finite groups can be generated by a pi-subgroup and a pi'-subgroup,
<span class='BibHowpublished'><a href="https://arxiv.org/abs/2103.17216">arXiv:2103.17216</a></span>.
</p>


<p><a id="biBBGK" name="biBBGK"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2422303">BGK08</a></span>]   <b class='BibAuthor'>Breuer, T., Guralnick, R. M. and Kantor, W. M.</b>,
<a href="http://dx.doi.org/10.1016/j.jalgebra.2007.10.028"><i class='BibTitle'>Probabilistic generation of finite simple groups, II</i></a>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>320</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>443–494</span>.
</p>


<p><a id="biBGMN" name="biBGMN"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2669683">BGL+10</a></span>]   <b class='BibAuthor'>Breuer, T., Guralnick, R. M., Lucchini, A., Maróti, A. and Nagy, G. P.</b>,
<a href="http://dx.doi.org/10.1112/blms/bdq017"><i class='BibTitle'>Hamiltonian cycles in the generating graphs of finite groups</i></a>,
 <span class='BibJournal'>Bull. London Math. Soc.</span>,
 <em class='BibVolume'>42</em> (<span class='BibNumber'>4</span>)
 (<span class='BibYear'>2010</span>),
 <span class='BibPages'>621–633</span>.
</p>


<p><a id="biBBGS11" name="biBBGS11"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2781219">BGS11</a></span>]   <b class='BibAuthor'>Burness, T. C., Guralnick, R. M. and Saxl, J.</b>,
<a href="http://dx.doi.org/10.1112/blms/bdq123"><i class='BibTitle'>On base sizes for symmetric groups</i></a>,
 <span class='BibJournal'>Bull. Lond. Math. Soc.</span>,
 <em class='BibVolume'>43</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2011</span>),
 <span class='BibPages'>386–391</span>.
</p>


<p><a id="biBBMO17" name="biBBMO17"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3682588">BMO17</a></span>]   <b class='BibAuthor'>Breuer, T., Malle, G. and O'Brien, E. A.,
 <i class='BibTitle'>Reliability and reproducibility of Atlas information</i>,
  in  <i class='BibBooktitle'>Finite simple groups: thirty years of the atlas and beyond</i>,
 <span class='BibPublisher'>Amer. Math. Soc.</span>,
 <span class='BibSeries'>Contemp. Math.</span>,
 <em class='BibVolume'>694</em>,
 <span class='BibAddress'>Providence, RI</span>
 (<span class='BibYear'>2017</span>),
 <span class='BibPages'>21–31</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="biBBP98copy" name="biBBP98copy"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1633876">BP98</a></span>]   <b class='BibAuthor'>Breuer, T. and Pfeiffer, G.</b>,
<a href="http://dx.doi.org/10.1006/jsco.1998.0217"><i class='BibTitle'>Finding possible permutation characters</i></a>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>26</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>343–354</span>.
</p>


<p><a id="biBAmbigFus" name="biBAmbigFus"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Brea</span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'>Ambiguous Class Fusions in the <strong class='pkg'>GAP</strong>
         Character Table Library</i>,
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf">https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf</a></span>.
</p>


<p><a id="biBProbGenArxiv" name="biBProbGenArxiv"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Breb</span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'><strong class='pkg'>GAP</strong> computations concerning
         probabilistic generation of finite simple groups</i>,
<span class='BibHowpublished'><a href="https://export.arxiv.org/abs/0710.3267">arXiv:0710.3267</a></span>.
</p>


<p><a id="biBAuto" name="biBAuto"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Brec</span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'>Using Table Automorphisms for Constructing Character Tables
                 in <strong class='pkg'>GAP</strong></i>,
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf">https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf</a></span>.
</p>


<p><a id="biBBre91" name="biBBre91"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bre91</span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'>Potenzabbildungen,             Untergruppenfusionen,
                      Tafel-Automorphismen</i>,
 <span class='BibType'>Diplomarbeit</span>,
 <span class='BibSchool'>Lehrstuhl   D   für  Mathematik, Rheinisch  Westfälische
                      Technische Hochschule</span>,
 <span class='BibAddress'>Aachen, Germany</span>
 (<span class='BibYear'>1991</span>).
</p>


<p><a id="biBBre11" name="biBBre11"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2831228">Bre11</a></span>]   <b class='BibAuthor'>Breuer, T.</b>,
<a href="http://dx.doi.org/10.1112/S1461157010000318"><i class='BibTitle'>Computing character tables of groups of type
      \(M.G.A\)</i></a>,
 <span class='BibJournal'>LMS J. Comput. Math.</span>,
 <em class='BibVolume'>14</em>
 (<span class='BibYear'>2011</span>),
 <span class='BibPages'>173–178</span>.
</p>


<p><a id="biBCTblLib" name="biBCTblLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bre25</span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'>The <strong class='pkg'>GAP</strong> Character Table
      Library, Version 1.3.11</i>
 (<span class='BibYear'>2025</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="biBBW1" name="biBBW1"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0372033">BW75</a></span>]   <b class='BibAuthor'>Brenner, J. L. and Wiegold, J.</b>,
 <i class='BibTitle'>Two-generator groups. I</i>,
 <span class='BibJournal'>Michigan Math. J.</span>,
 <em class='BibVolume'>22</em>
 (<span class='BibYear'>1975</span>),
 <span class='BibPages'>53–64</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="biBDad66" name="biBDad66"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0200355">Dad66</a></span>]   <b class='BibAuthor'>Dade, E. C.</b>,
<a href="http://dx.doi.org/10.2307/1970529"><i class='BibTitle'>Blocks with cyclic defect groups</i></a>,
 <span class='BibJournal'>Ann. of Math. (2)</span>,
 <em class='BibVolume'>84</em>
 (<span class='BibYear'>1966</span>),
 <span class='BibPages'>20–48</span>.
</p>


<p><a id="biBDLP25" name="biBDLP25"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>DLP25</span>]   <b class='BibAuthor'>Dietrich, H., Lee, M. and Popiel, T.</b>,
 <i class='BibTitle'>The maximal subgroups of the Monster</i>
 (<span class='BibYear'>2025</span>),
<span class='BibHowpublished'><a href="https://doi.org/10.1016/j.aim.2025.110214">Advances in Mathematics 469 (2025), article 110214</a></span>.
</p>


<p><a id="biBDLPP24" name="biBDLPP24"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>DLPP24</span>]   <b class='BibAuthor'>Dietrich, H., Lee, M., Pisani, A. and Popiel, T.</b>,
 <i class='BibTitle'>Explicit construction of the maximal subgroups of the Monster</i>
 (<span class='BibYear'>2024</span>),
<span class='BibHowpublished'><a href="https://arxiv.org/abs/2411.12230">arXiv:2411.12230</a></span>.
</p>


<p><a id="biBDNT" name="biBDNT"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=096641">DNT13</a></span>]   <b class='BibAuthor'>Dolfi, S., Navarro, G. and Tiep, P. H.</b>,
 <i class='BibTitle'>Finite groups whose same degree characters are Galois
                      conjugate</i>,
 <span class='BibJournal'>Israel J. Math.</span>,
 <em class='BibVolume'>198</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2013</span>),
 <span class='BibPages'>283–331</span>.
</p>


<p><a id="biBFeit82" name="biBFeit82"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=661045">Fei82</a></span>]   <b class='BibAuthor'>Feit, W.</b>,
 <i class='BibTitle'>The representation theory of finite groups</i>,
 <span class='BibPublisher'>North-Holland Publishing Co.</span>,
 <span class='BibSeries'>North-Holland Mathematical Library</span>,
 <em class='BibVolume'>25</em>
 (<span class='BibYear'>1982</span>)<br />
(<span class='BibNote'>xiv+502 pp., ISBN 0-444-86155-6</span>).
</p>


<p><a id="biBGag86" name="biBGag86"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=817904">Gag86</a></span>]   <b class='BibAuthor'>Gagola, Jr., S. M.</b>,
<a href="http://dx.doi.org/10.1307/mmj/1029003285"><i class='BibTitle'>Formal character tables</i></a>,
 <span class='BibJournal'>Michigan Math. J.</span>,
 <em class='BibVolume'>33</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1986</span>),
 <span class='BibPages'>3–10</span>.
</p>


<p><a id="biBGAP" name="biBGAP"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GAP24</span>]   
 <i class='BibTitle'><strong class='pkg'>GAP</strong> –
      Groups, Algorithms, and Programming,
      Version 4.13.1</i>,
 <span class='BibOrganization'>The GAP Group</span>
 (<span class='BibYear'>2024</span>),
<span class='BibHowpublished'><a href="https://www.gap-system.org">https://www.gap-system.org</a></span>.
</p>


<p><a id="biBGMS89" name="biBGMS89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1025167">GJMS89</a></span>]   <b class='BibAuthor'>Griess Jr., R. L., Meierfrankenfeld, U. and Segev, Y.</b>,
<a href="https://doi.org/10.2307/1971455"><i class='BibTitle'>A uniqueness proof for the Monster</i></a>,
 <span class='BibJournal'>Ann. of Math. (2)</span>,
 <em class='BibVolume'>130</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1989</span>),
 <span class='BibPages'>567–602</span>.
</p>


<p><a id="biBGK" name="biBGK"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1800754">GK00</a></span>]   <b class='BibAuthor'>Guralnick, R. M. and Kantor, W. M.</b>,
<a href="http://dx.doi.org/10.1006/jabr.2000.8357"><i class='BibTitle'>Probabilistic generation of finite simple groups</i></a>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>234</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>743–792</span><br />
(<span class='BibNote'>Special issue in honor of Helmut Wielandt</span>).
</p>


<p><a id="biBGM01" name="biBGM01"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1849484">GM01</a></span>]   <b class='BibAuthor'>Ganief, S. and Moori, J.</b>,
<a href="http://dx.doi.org/10.1081/AGB-100105019"><i class='BibTitle'>On the spread of the sporadic simple groups</i></a>,
 <span class='BibJournal'>Comm. Algebra</span>,
 <em class='BibVolume'>29</em> (<span class='BibNumber'>8</span>)
 (<span class='BibYear'>2001</span>),
 <span class='BibPages'>3239–3255</span>.
</p>


<p><a id="biBGPPS" name="biBGPPS"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1658168">GPPS99</a></span>]   <b class='BibAuthor'>Guralnick, R., Penttila, T., Praeger, C. E. and Saxl, J.</b>,
<a href="http://dx.doi.org/10.1112/S0024611599001616"><i class='BibTitle'>Linear groups with orders having certain large prime divisors</i></a>,
 <span class='BibJournal'>Proc. London Math. Soc.</span>,
 <em class='BibVolume'>78</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1999</span>),
 <span class='BibPages'>167–214</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="biBHL94" name="biBHL94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1278806">HL94</a></span>]   <b class='BibAuthor'>Hiss, G. and Lux, K.</b>,
<a href="http://dx.doi.org/10.1080/00927879408825042"><i class='BibTitle'>The \(5\)-modular characters of the sporadic simple
      Fischer
  groups \({\rm Fi}_{{22}}\) and \({\rm
      Fi}_{{23}}\)</i></a>,
 <span class='BibJournal'>Comm. Algebra</span>,
 <em class='BibVolume'>22</em> (<span class='BibNumber'>9</span>)
 (<span class='BibYear'>1994</span>),
 <span class='BibPages'>3563–3590</span><br />
(<span class='BibNote'>With an appendix by Thomas Breuer</span>).
</p>


<p><a id="biBcohomolo" name="biBcohomolo"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hol08</span>]   <b class='BibAuthor'>Holt, D.</b>,
 <i class='BibTitle'><strong class='pkg'>cohomolo</strong>,
    computing cohomology groups and Schur multipliers,
    Version 1.6</i>
 (<span class='BibYear'>2008</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="http://www.maths.warwick.ac.uk/~dfh/cohomolo">http://www.maths.warwick.ac.uk/~dfh/cohomolo</a></span>.
</p>


<p><a id="biBHP89" name="biBHP89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1025760">HP89</a></span>]   <b class='BibAuthor'>Holt, D. F. and Plesken, W.</b>,
 <i class='BibTitle'>Perfect groups</i>,
 <span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
 <span class='BibSeries'>Oxford Mathematical Monographs</span>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1989</span>),
 <span class='BibPages'>xii+364 pages</span><br />
(<span class='BibNote'>With an appendix by W. Hanrath,
              Oxford Science Publications</span>).
</p>


<p><a id="biBHulpkeTG" name="biBHulpkeTG"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2168238">Hul05</a></span>]   <b class='BibAuthor'>Hulpke, A.</b>,
 <i class='BibTitle'>Constructing transitive permutation groups</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>39</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>1–30</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="biBHW04" name="biBHW04"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2025332">HW04</a></span>]   <b class='BibAuthor'>Holmes, P. E. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/S0024610703004915"><i class='BibTitle'>\({\rm PSL}_2(59)\) is a subgroup of the Monster</i></a>,
 <span class='BibJournal'>J. London Math. Soc.</span>,
 <em class='BibVolume'>69</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2004</span>),
 <span class='BibPages'>141–152</span>.
</p>


<p><a id="biBHW08" name="biBHW08"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2397402">HW08</a></span>]   <b class='BibAuthor'>Holmes, P. E. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1016/j.jalgebra.2003.11.014"><i class='BibTitle'>On subgroups of the Monster containing \(A_5\)'s,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>319</em> (<span class='BibNumber'>7</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>2653–2667</span>.
</p>


<p><a id="biBIsa76" name="biBIsa76"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0460423">Isa76</a></span>]   <b class='BibAuthor'>Isaacs, I. M.</b>,
 <i class='BibTitle'>Character theory of finite groups</i>,
 <span class='BibPublisher'>Academic Press [Harcourt Brace Jovanovich Publishers]</span>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1976</span>),
 <span class='BibPages'>xii+303 pages</span><br />
(<span class='BibNote'>Pure and Applied Mathematics, No. 69</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="biBKlL90" name="biBKlL90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1057341">KL90</a></span>]   <b class='BibAuthor'>Kleidman, P. and Liebeck, M.</b>,
<a href="http://dx.doi.org/10.1017/CBO9780511629235"><i class='BibTitle'>The subgroup structure of the finite classical groups</i></a>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibSeries'>London Mathematical Society Lecture Note Series</span>,
 <em class='BibVolume'>129</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>x+303 pages</span>.
</p>


<p><a id="biBKle87" name="biBKle87"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=904187">Kle87</a></span>]   <b class='BibAuthor'>Kleidman, P. B.</b>,
<a href="http://dx.doi.org/10.1016/0021-8693(87)90042-1"><i class='BibTitle'>The maximal subgroups of the finite \(8\)-dimensional
              orthogonal groups \(P\Omega^+_8(q)\) and of their
              automorphism groups</i></a>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>110</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1987</span>),
 <span class='BibPages'>173–242</span>.
</p>


<p><a id="biBLP10" name="biBLP10"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2680716">LP10</a></span>]   <b class='BibAuthor'>Lux, K. and Pahlings, H.</b>,
 <i class='BibTitle'>Representations of groups</i>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibSeries'>Cambridge Studies in Advanced Mathematics</span>,
 <em class='BibVolume'>124</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>2010</span>),
 <span class='BibPages'>x+460 pages</span><br />
(<span class='BibNote'>A computational approach</span>).
</p>


<p><a id="biBLW91" name="biBLW91"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1105720">LW91</a></span>]   <b class='BibAuthor'>Linton, S. A. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/plms/s3-63.1.113"><i class='BibTitle'>The maximal subgroups of the Fischer groups \({\rm
      Fi}_{{24}}\) and \({\rm Fi}'_{{24}}\),
 <span class='BibJournal'>Proc. London Math. Soc. (3)</span>,
 <em class='BibVolume'>63</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1991</span>),
 <span class='BibPages'>113–164</span>.
</p>


<p><a id="biBTomLib" name="biBTomLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>MNP19</span>]   <b class='BibAuthor'>Merkwitz, T., Naughton, L. and Pfeiffer, G.</b>,
 <i class='BibTitle'>TomLib, The GAP Library of Tables of Marks,
         Version 1.2.9</i>
 (<span class='BibYear'>2019</span>)<br />
(<span class='BibNote'>GAP package</span>),
<span class='BibHowpublished'><a href="https://gap-packages.github.io/tomlib">https://gap-packages.github.io/tomlib</a></span>.
</p>


<p><a id="biBMSW94" name="biBMSW94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1261575">MSW94</a></span>]   <b class='BibAuthor'>Malle, G., Saxl, J. and Weigel, T.</b>,
<a href="http://dx.doi.org/10.1007/BF01263536"><i class='BibTitle'>Generation of classical groups</i></a>,
 <span class='BibJournal'>Geom. Dedicata</span>,
 <em class='BibVolume'>49</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1994</span>),
 <span class='BibPages'>85–116</span>.
</p>


<p><a id="biBNav98" name="biBNav98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1632299">Nav98</a></span>]   <b class='BibAuthor'>Navarro, G.</b>,
<a href="http://dx.doi.org/10.1017/CBO9780511526015"><i class='BibTitle'>Characters and blocks of finite groups</i></a>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibSeries'>London Mathematical Society Lecture Note Series</span>,
 <em class='BibVolume'>250</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>x+287 pages</span>.
</p>


<p><a id="biBAtlasImpII" name="biBAtlasImpII"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Nor</span>]   <b class='BibAuthor'>Norton, S. P.</b>,
 <i class='BibTitle'>Improvements to the ATLAS–II</i>,
<span class='BibHowpublished'><a href="http://brauer.maths.qmul.ac.uk/Atlas/info/fullatlasmods.html">http://brauer.maths.qmul.ac.uk/Atlas/info/fullatlasmods.html</a></span>.
</p>


<p><a id="biBNPP84" name="biBNPP84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=760658">NPP84</a></span>]   <b class='BibAuthor'>Neubüser, J., Pahlings, H. and Plesken, W.</b> (<span class='BibEditor'>Atkinson, M. D.</span>, Ed.),
 <i class='BibTitle'>CAS; design and use of a system for the handling of
              characters of finite groups</i>,
  in  <i class='BibBooktitle'>Computational group theory (Durham, 1982)</i>,
 <span class='BibPublisher'>Academic Press</span>,
 <span class='BibAddress'>London</span>
 (<span class='BibYear'>1984</span>),
 <span class='BibPages'>195–247</span>.
</p>


<p><a id="biBNR14" name="biBNR14"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3225128">NR14</a></span>]   <b class='BibAuthor'>Navarro, G. and Rizo, N.</b>,
<a href="http://dx.doi.org/10.1142/S0219498814500613"><i class='BibTitle'>Nilpotent and perfect groups with the same set of character
              degrees</i></a>,
 <span class='BibJournal'>J. Algebra Appl.</span>,
 <em class='BibVolume'>13</em> (<span class='BibNumber'>8</span>)
 (<span class='BibYear'>2014</span>),
 <span class='BibPages'>1450061, 3</span>.
</p>


<p><a id="biBNW02" name="biBNW02"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1888424">NW02</a></span>]   <b class='BibAuthor'>Norton, S. P. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/S0024611502013357"><i class='BibTitle'>Anatomy of the Monster. II</i></a>,
 <span class='BibJournal'>Proc. London Math. Soc. (3)</span>,
 <em class='BibVolume'>84</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2002</span>),
 <span class='BibPages'>581–598</span>.
</p>


<p><a id="biBNW12" name="biBNW12"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3073684">NW13</a></span>]   <b class='BibAuthor'>Norton, S. P. and Wilson, R. A.</b>,
<a href="https://doi.org/10.1112/jlms/jds078"><i class='BibTitle'>A correction to the \(41\)-structure of the Monster,
         a construction of a new maximal subgroup L\(_2(41)\)
         and a new Moonshine phenomenon</i></a>,
 <span class='BibJournal'>J. Lond. Math. Soc. (2)</span>,
 <em class='BibVolume'>87</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2013</span>),
 <span class='BibPages'>943–962</span>.
</p>


<p><a id="biBOst86" name="biBOst86"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=872094">Ost86</a></span>]   <b class='BibAuthor'>Ostermann, T.</b>,
 <i class='BibTitle'>Charaktertafeln von Sylownormalisatoren sporadischer
              einfacher Gruppen</i>,
 <span class='BibOrganization'>Universität Essen</span>,
 <span class='BibPublisher'>Universität Essen Fachbereich Mathematik</span>,
 <span class='BibSeries'>Vorlesungen aus dem Fachbereich Mathematik der
      Universität
              GH Essen [Lecture Notes in Mathematics at the University of
              Essen]</span>,
 <em class='BibVolume'>14</em>,
 <span class='BibAddress'>Essen</span>
 (<span class='BibYear'>1986</span>),
 <span class='BibPages'>x+187 pages</span>.
</p>


<p><a id="biBVdo00" name="biBVdo00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1805754">Vdo00</a></span>]   <b class='BibAuthor'>Vdovin, E. P.</b>,
<a href="http://dx.doi.org/10.1007/BF02681614"><i class='BibTitle'>Large nilpotent subgroups of finite simple groups</i></a>,
 <span class='BibJournal'>Algebra Log.</span>,
 <em class='BibVolume'>39</em> (<span class='BibNumber'>5</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>526–546, 630</span>.
</p>


<p><a id="biBMmaxes" name="biBMmaxes"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Wil</span>]   <b class='BibAuthor'>Wilson, R. A.</b>,
 <i class='BibTitle'>ATLAS: Monster group \({M}\)</i>,
<span class='BibHowpublished'><a href="http://brauer.maths.qmul.ac.uk/Atlas/spor/M">http://brauer.maths.qmul.ac.uk/Atlas/spor/M</a></span>.
</p>


<p><a id="biBWil93a" name="biBWil93a"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1254061">Wil93a</a></span>]   <b class='BibAuthor'>Wilson, R. A.</b>,
 <i class='BibTitle'>More on maximal subgroups of the Baby Monster</i>,
 <span class='BibJournal'>Arch. Math. (Basel)</span>,
 <em class='BibVolume'>61</em> (<span class='BibNumber'>6</span>)
 (<span class='BibYear'>1993</span>),
 <span class='BibPages'>497–507</span>.
</p>


<p><a id="biBWilson93" name="biBWilson93"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1190359">Wil93b</a></span>]   <b class='BibAuthor'>Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/blms/25.1.23"><i class='BibTitle'>Some new subgroups of the Baby Monster</i></a>,
 <span class='BibJournal'>Bull. London Math. Soc.</span>,
 <em class='BibVolume'>25</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1993</span>),
 <span class='BibPages'>23–28</span>.
</p>


<p><a id="biBWil98" name="biBWil98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1643110">Wil98</a></span>]   <b class='BibAuthor'>Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1006/jabr.1998.7450"><i class='BibTitle'>The McKay conjecture is true for the sporadic simple
              groups</i></a>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>207</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>294–305</span>.
</p>


<p><a id="biBWil99" name="biBWil99"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1656568">Wil99</a></span>]   <b class='BibAuthor'>Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1006/jabr.1998.7601"><i class='BibTitle'>The maximal subgroups of the Baby Monster.
      I</i></a>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>211</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1999</span>),
 <span class='BibPages'>1–14</span>.
</p>


<p><a id="biBWil10" name="biBWil10"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2681789">Wil10</a></span>]   <b class='BibAuthor'>Wilson, R. A.</b>,
 <i class='BibTitle'>New computations in the Monster</i>,
  in  <i class='BibBooktitle'>Moonshine: the first quarter century and beyond</i>,
 <span class='BibPublisher'>Cambridge Univ. Press</span>,
 <span class='BibSeries'>London Math. Soc. Lecture Note Ser.</span>,
 <em class='BibVolume'>372</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>2010</span>),
 <span class='BibPages'>393–403</span>.
</p>


<p><a id="biBAtlasRep" name="biBAtlasRep"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>WPN+22</span>]   <b class='BibAuthor'>Wilson, R. A., Parker, R. A., Nickerson, S., Bray, J. N. and Breuer, T.</b>,
 <i class='BibTitle'>AtlasRep, A <strong class='pkg'>GAP</strong> Interface
         to the Atlas of Group Representations,
         Version 2.1.6</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/atlasrep">https://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep</a></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://brauer.maths.qmul.ac.uk/Atlas/v3">http://brauer.maths.qmul.ac.uk/Atlas/v3</a></span>.
</p>

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