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  References
  
  [ABC]  Improvements  to  the  ATLAS  of  Brauer  Characters,  The MOC Group,
  https://www.math.rwth-aachen.de/homes/MOC/ABCerr.html.
  
  [BGL+10] Breuer, T., Guralnick, R. M., Lucchini, A., Maróti, A. and Nagy, G.
  P.,  Hamiltonian  cycles  in  the  generating graphs of finite groups, Bull.
  London Math. Soc., 42, 4 (2010), 621–633.
  
  [BL18]  Breuer,  T.  and  Lübeck, F., Browse, ncurses interface and browsing
  applications,      Version      1.8.9      (2018),      ((GAP     package)),
  https://www.math.rwth-aachen.de/~Browse.
  
  [BMO17]   Breuer,  T.,  Malle,  G.  and  O'Brien,  E.  A.,  Reliability  and
  reproducibility  of Atlas information, in Finite simple groups: thirty years
  of  the atlas and beyond, Amer. Math. Soc., Contemp. Math., 694, Providence,
  RI (2017), 21–31.
  
  [BMW20]  Breuer,  T.,  Magaard,  K.  and  Wilson, R. A., Verification of the
  ordinary  character  table  of  the  Baby  Monster,  J. Algebra, 561 (2020),
  111–130.
  
  [BN95]  Breuer,  T.  and  Norton,  S.  P.,  Improvements  to  the Atlas, The
  Clarendon   Press  Oxford  University  Press,  London  Mathematical  Society
  Monographs.  New  Series,  11,  New York (1995), 297–327, ((Appendix 2 by T.
  Breuer and S. Norton, Oxford Science Publications)).
  
  [Bos90]  Bosma,  W.,  Canonical  bases  for cyclotomic fields, Appl. Algebra
  Engrg. Comm. Comput., 1, 2 (1990), 125–134.
  
  [Brea]  Breuer,  T.,  Ambiguous  Class  Fusions  in  the GAP Character Table
  Library,
  https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf.
  
  [Breb]  Breuer,  T.,  Constructing Character Tables of Central Extensions in
  GAP, https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf.
  
  [Brec]  Breuer, T., Constructing the ordinary character tables of some Atlas
  groups     using     character    theoretic    methods.,    arXiv:1604.00754
  (https://export.arxiv.org/abs/1604.00754).
  
  [Bred]      Breuer,      T.,      Permutation     Characters     in     GAP,
  https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf.
  
  [Bree]  Breuer,  T., GAP computations concerning probabilistic generation of
  finite              simple              groups,              arXiv:0710.3267
  (https://export.arxiv.org/abs/0710.3267).
  
  [Bref]  Breuer,  T.,  Using  Table  Automorphisms for Constructing Character
  Tables                                in                                GAP,
  https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf.
  
  [Bre11]  Breuer, T., Computing character tables of groups of type M.G.A, LMS
  J. Comput. Math., 14 (2011), 173–178.
  
  [CCN+85]  Conway,  J.  H.,  Curtis,  R. T., Norton, S. P., Parker, R. A. and
  Wilson,  R.  A.,  Atlas  of  finite groups, Oxford University Press, Eynsham
  (1985),  xxxiv+252  pages,  ((Maximal  subgroups and ordinary characters for
  simple groups, With computational assistance from J. G. Thackray)).
  
  [CH05]   Claßen-Houben,   M.,   Jordan-Zerlegung   der  Charaktere  für  die
  GAP-Charaktertafeln   der   endlichen  Gruppen  vom  Lie-Typ,  Diplomarbeit,
  Lehrstuhl  D  für  Mathematik, Rheinisch Westfälische Technische Hochschule,
  Aachen, Germany (2005).
  
  [CP96]  Cannon,  J.  J.  and  Playoust,  C.,  An  introduction  to algebraic
  programming  in  Magma,  School of Mathematics and Statistics, University of
  Sydney, Sydney, Australia (1996), http://www.math.usyd.edu.au:8000/u/magma.
  
  [Dan06]  Dany,  S.,  Berechnung  von Charaktertafeln zentraler Erweiterungen
  ausgewählter  Gruppen,  Diplomarbeit,  Lehrstuhl D für Mathematik, Rheinisch
  Westfälische Technische Hochschule, Aachen, Germany (2006).
  
  [GAP21]  GAP  –  Groups,  Algorithms,  and  Programming, Version 4.11.1, The
  GAP Group (2021), https://www.gap-system.org.
  
  [GR]  Guralnick,  R.  M.  and  Robinson,  G.  R.,  Commuting involutions and
  elementary    abelian   subgroups   of   simple   groups,   arXiv:2012.08693
  (http://export.arxiv.org/abs/2012.08693).
  
  [Han88]    Hanrath,   W.,   Irreduzible   Darstellungen   von   Raumgruppen,
  Dissertation,  Rheinisch Westfälische Technische Hochschule, Aachen, Germany
  (1988).
  
  [HJLP]  Hiss,  G.,  Jansen,  C.,  Lux,  K.  and Parker, R. A., Computational
  Modular Character Theory, http://www.math.rwth-aachen.de/~MOC/CoMoChaT/.
  
  [HP89]  Holt,  D.  F.  and  Plesken, W., Perfect groups, The Clarendon Press
  Oxford  University  Press,  Oxford Mathematical Monographs, New York (1989),
  xii+364   pages,   ((With   an   appendix  by  W.  Hanrath,  Oxford  Science
  Publications)).
  
  [JLPW95]  Jansen, C., Lux, K., Parker, R. and Wilson, R., An atlas of Brauer
  characters, The Clarendon Press Oxford University Press, London Mathematical
  Society  Monographs.  New  Series,  11,  New  York  (1995), xviii+327 pages,
  ((Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications)).
  
  [LN18]  Lübeck,  F.  and  Neunhöffer,  M.,  GAPDoc,  A  Meta Package for GAP
  Documentation,      Version      1.6.2      (2018),     ((GAP     package)),
  https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc.
  
  [LOST10] Liebeck, M. W., O'Brien, E. A., Shalev, A. and Tiep, P. H., The Ore
  conjecture, J. Eur. Math. Soc. (JEMS), 12, 4 (2010), 939–1008.
  
  [LP91]  Lux,  K.  and Pahlings, H. (Michler, G. O. and Ringel, C. M., Eds.),
  Computational   aspects  of  representation  theory  of  finite  groups,  in
  Representation  theory  of  finite  groups  and  finite-dimensional algebras
  (Bielefeld, 1991), Birkhäuser, Progr. Math., 95, Basel (1991), 37–64.
  
  [LP10]  Lux,  K.  and  Pahlings,  H.,  Representations  of groups, Cambridge
  University  Press, Cambridge Studies in Advanced Mathematics, 124, Cambridge
  (2010), x+460 pages, ((A computational approach)).
  
  [Nav98]  Navarro,  G.,  Characters  and  blocks  of finite groups, Cambridge
  University  Press,  London  Mathematical  Society  Lecture Note Series, 250,
  Cambridge (1998), x+287 pages.
  
  [NMP18] Naughton, L., Merkwitz, T. and Pfeiffer, G., TomLib, The GAP Library
  of    Tables    of   Marks,   Version   1.2.7   (2018),   ((GAP   package)),
  http://schmidt.nuigalway.ie/tomlib.
  
  [Noe02]  Noeske,  F.,  Zur  Darstellungstheorie der Schurschen Erweiterungen
  symmetrischer  Gruppen,  Diplomarbeit, Lehrstuhl D für Mathematik, Rheinisch
  Westfälische Technische Hochschule (2002).
  
  [Nor]     Norton,     S.     P.,     Improvements     to    the    ATLAS–II,
  http://brauer.maths.qmul.ac.uk/Atlas/info/fullatlasmods.html.
  
  [NPP84]  Neubüser,  J., Pahlings, H. and Plesken, W. (Atkinson, M. D., Ed.),
  CAS;  design  and  use  of a system for the handling of characters of finite
  groups, in Computational group theory (Durham, 1982), Academic Press, London
  (1984), 195–247.
  
  [Ost86]  Ostermann, T., Charaktertafeln von Sylownormalisatoren sporadischer
  einfacher   Gruppen,   Universität   Essen,  Universität  Essen  Fachbereich
  Mathematik,  Vorlesungen  aus  dem Fachbereich Mathematik der Universität GH
  Essen  [Lecture  Notes in Mathematics at the University of Essen], 14, Essen
  (1986), x+187 pages.
  
  [WPN+19]  Wilson,  R.  A.,  Parker,  R.  A.,  Nickerson, S., Bray, J. N. and
  Breuer, T., AtlasRep, A GAP Interface to the Atlas of Group Representations,
  Version           2.1           (2019),           ((GAP           package)),
  https://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep.
  
  
  
  

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