\newcommand{\etalchar}[1]{$^{#1}$}
\begin{thebibliography}{WPN{\etalchar{+}}19}

\bibitem[ABC]{ABCImp}
{Improvements to the ATLAS of Brauer Characters}.
\newblock \href {https://www.math.rwth-aachen.de/homes/MOC/ABCerr.html}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{homes/}\discretionary {}{}{}\texttt{MOC/}\discretionary
  {}{}{}\texttt{ABCerr.html}}.

\bibitem[BGL{\etalchar{+}}10]{GMN}
T.~Breuer, R.~M. Guralnick, A.~Lucchini, A.~Mar{\a'o}ti, and G.~P. Nagy.
\newblock Hamiltonian cycles in the generating graphs of finite groups.
\newblock {\em Bull. London Math. Soc.}, 42(4):621{\textendash}633, 2010.

\bibitem[BL18]{Browse}
T.~Breuer and F.~L{\"u}beck.
\newblock {Browse}, ncurses interface and browsing applications, {V}ersion
  1.8.9.
\newblock \href {https://www.math.rwth-aachen.de/~Browse}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}Browse}}, Jun 2018.
\newblock \textsf{GAP} package.

\bibitem[BMO17]{BMO17}
T.~Breuer, G.~Malle, and E.~A. O'Brien.
\newblock Reliability and reproducibility of {A}tlas information.
\newblock In M.~Bhargava, R.~Guralnick, G.~Hiss, K.~Lux, and P.~H. Tiep,
  editors, {\em Finite simple groups: thirty years of the atlas and beyond},
  volume 694 of {\em Contemp. Math.}, page 21{\textendash}31. Amer. Math. Soc.,
  Providence, RI, 2017.

\bibitem[BMW20]{BMverify}
T.~Breuer, K.~Magaard, and R.~A. Wilson.
\newblock Verification of the ordinary character table of the {B}aby {M}onster.
\newblock {\em J. Algebra}, 561:111{\textendash}130, 2020.

\bibitem[BN95]{BN95}
T.~Breuer and S.~P. Norton.
\newblock {\em Improvements to the {A}tlas}, page 297{\textendash}327.
\newblock Volume~11 of {\em London Mathematical Society Monographs. New
  Series\/} \cite{JLPW95}, 1995.
\newblock Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications.

\bibitem[Bos90]{Bos90}
W.~Bosma.
\newblock Canonical bases for cyclotomic fields.
\newblock {\em Appl. Algebra Engrg. Comm. Comput.}, 1(2):125{\textendash}134,
  1990.

\bibitem[Brea]{AmbigFus}
T.~Breuer.
\newblock Ambiguous class fusions in the \textsf{GAP} character table library.
\newblock \href
  {https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}Thomas.Breuer/}\discretionary
  {}{}{}\texttt{ctbllib/}\discretionary {}{}{}\texttt{doc2/}\discretionary
  {}{}{}\texttt{manual.pdf}}.

\bibitem[Breb]{CCE}
T.~Breuer.
\newblock Constructing character tables of central extensions in \textsf{GAP}.
\newblock \href
  {https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}Thomas.Breuer/}\discretionary
  {}{}{}\texttt{ctbllib/}\discretionary {}{}{}\texttt{doc2/}\discretionary
  {}{}{}\texttt{manual.pdf}}.

\bibitem[Brec]{AtlasVerifyLargeArxiv}
T.~Breuer.
\newblock Constructing the ordinary character tables of some {A}tlas groups
  using character theoretic methods.
\newblock \href {https://export.arxiv.org/abs/1604.00754} {arXiv:1604.00754}.

\bibitem[Bred]{ctblpope}
T.~Breuer.
\newblock Permutation {C}haracters in \textsf{GAP}.
\newblock \href
  {https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}Thomas.Breuer/}\discretionary
  {}{}{}\texttt{ctbllib/}\discretionary {}{}{}\texttt{doc2/}\discretionary
  {}{}{}\texttt{manual.pdf}}.

\bibitem[Bree]{ProbGenArxiv}
T.~Breuer.
\newblock \textsf{GAP} computations concerning probabilistic generation of
  finite simple groups.
\newblock \href {https://export.arxiv.org/abs/0710.3267} {arXiv:0710.3267}.

\bibitem[Bref]{Auto}
T.~Breuer.
\newblock Using table automorphisms for constructing character tables in
  \textsf{GAP}.
\newblock \href
  {https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}Thomas.Breuer/}\discretionary
  {}{}{}\texttt{ctbllib/}\discretionary {}{}{}\texttt{doc2/}\discretionary
  {}{}{}\texttt{manual.pdf}}.

\bibitem[Bre11]{Bre11}
T.~Breuer.
\newblock Computing character tables of groups of type {$M.G.A$}.
\newblock {\em LMS J. Comput. Math.}, 14:173{\textendash}178, 2011.

\bibitem[CCN{\etalchar{+}}85]{CCN85}
J.~H. Conway, R.~T. Curtis, S.~P. Norton, R.~A. Parker, and R.~A. Wilson.
\newblock {\em Atlas of finite groups}.
\newblock Oxford University Press, Eynsham, 1985.
\newblock Maximal subgroups and ordinary characters for simple groups, With
  computational assistance from J. G. Thackray.

\bibitem[CH05]{Cla05}
M.~Cla{\ss}en-Houben.
\newblock Jordan-{Z}erlegung der {C}haraktere f{\"u}r die
  \textsf{GAP}-{C}haraktertafeln der endlichen {G}ruppen vom {L}ie-{T}yp.
\newblock Diplomarbeit, Lehrstuhl D f{\"u}r Mathematik, Rheinisch
  Westf{\"a}lische Technische Hochschule, Aachen, Germany, 2005.

\bibitem[CP96]{CP96}
J.~J. Cannon and C.~Playoust.
\newblock An introduction to algebraic programming in {Magma}.
\newblock \href {http://www.math.usyd.edu.au:8000/u/magma}
  {\texttt{http://www.math.usyd.edu.au:8000/}\discretionary
  {}{}{}\texttt{u/}\discretionary {}{}{}\texttt{magma}}, 1996.

\bibitem[Dan06]{Dan06}
S.~Dany.
\newblock Berechnung von {C}haraktertafeln zentraler {E}rweiterungen
  ausgew{\"a}hlter {G}ruppen.
\newblock Diplomarbeit, Lehrstuhl D f{\"u}r Mathematik, Rheinisch
  Westf{\"a}lische Technische Hochschule, Aachen, Germany, 2006.

\bibitem[GAP21]{GAP}
\textsf{GAP} {\textendash} {G}roups, {A}lgorithms, and {P}rogramming, {V}ersion
  4.11.1.
\newblock \href {https://www.gap-system.org}
  {\texttt{https://www.gap-system.org}}, Mar 2021.

\bibitem[GR]{GR20}
R.~M. Guralnick and G.~R. Robinson.
\newblock Commuting involutions and elementary abelian subgroups of simple
  groups.
\newblock \href {http://export.arxiv.org/abs/2012.08693} {arXiv:2012.08693}.

\bibitem[Han88]{Han88}
W.~Hanrath.
\newblock {\em Irreduzible {D}arstellungen von {R}aumgruppen}.
\newblock Dissertation, Rheinisch Westf{\"a}lische Technische Hochschule,
  Aachen, Germany, 1988.

\bibitem[HJLP]{HJLP92}
G.~Hiss, C.~Jansen, K.~Lux, and R.~A. Parker.
\newblock Computational {M}odular {C}haracter {T}heory.
\newblock \href {http://www.math.rwth-aachen.de/~MOC/CoMoChaT/}
  {\texttt{http://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}MOC/}\discretionary
  {}{}{}\texttt{CoMoChaT/}}.

\bibitem[HP89]{HP89}
D.~F. Holt and W.~Plesken.
\newblock {\em Perfect groups}.
\newblock Oxford Mathematical Monographs. The Clarendon Press Oxford University
  Press, New York, 1989.
\newblock With an appendix by W. Hanrath, Oxford Science Publications.

\bibitem[JLPW95]{JLPW95}
C.~Jansen, K.~Lux, R.~Parker, and R.~Wilson.
\newblock {\em An atlas of {B}rauer characters}, volume~11 of {\em London
  Mathematical Society Monographs. New Series}.
\newblock The Clarendon Press Oxford University Press, New York, 1995.
\newblock Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications.

\bibitem[LN18]{GAPDoc}
F.~L{\"u}beck and M.~Neunh{\"o}ffer.
\newblock \textsf{GAPDoc}, a {M}eta {P}ackage for \textsf{GAP} {D}ocumentation,
  {V}ersion 1.6.2.
\newblock \href {https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}Frank.Luebeck/}\discretionary
  {}{}{}\texttt{GAPDoc}}, Oct 2018.
\newblock \textsf{GAP} package.

\bibitem[LOST10]{LOST2010}
M.~W. Liebeck, E.~A. O'Brien, A.~Shalev, and P.~H. Tiep.
\newblock The {O}re conjecture.
\newblock {\em J. Eur. Math. Soc. (JEMS)}, 12(4):939{\textendash}1008, 2010.

\bibitem[LP91]{LP91}
K.~Lux and H.~Pahlings.
\newblock Computational aspects of representation theory of finite groups.
\newblock In G.~O. Michler and C.~M. Ringel, editors, {\em Representation
  theory of finite groups and finite-dimensional algebras (Bielefeld, 1991)},
  volume~95 of {\em Progr. Math.}, page 37{\textendash}64, Basel, 1991.
  Birkh{\"a}user.

\bibitem[LP10]{LP10}
K.~Lux and H.~Pahlings.
\newblock {\em Representations of groups}, volume 124 of {\em Cambridge Studies
  in Advanced Mathematics}.
\newblock Cambridge University Press, Cambridge, 2010.
\newblock A computational approach.

\bibitem[Nav98]{Nav98}
G.~Navarro.
\newblock {\em Characters and blocks of finite groups}, volume 250 of {\em
  London Mathematical Society Lecture Note Series}.
\newblock Cambridge University Press, Cambridge, 1998.

\bibitem[NMP18]{TomLib}
L.~Naughton, T.~Merkwitz, and G.~Pfeiffer.
\newblock {TomLib}, the \textsf{GAP} library of tables of marks, {V}ersion
  1.2.7.
\newblock \href {http://schmidt.nuigalway.ie/tomlib}
  {\texttt{http://schmidt.nuigalway.ie/}\discretionary {}{}{}\texttt{tomlib}},
  Oct 2018.
\newblock GAP package.

\bibitem[Noe02]{Noe02}
F.~Noeske.
\newblock {Zur Darstellungstheorie der Schurschen Erweiterungen symmetrischer
  Gruppen}.
\newblock Diplomarbeit, Lehrstuhl D f{\"u}r Mathematik, Rheinisch
  Westf{\"a}lische Technische Hochschule, 2002.

\bibitem[Nor]{AtlasImpII}
S.~P. Norton.
\newblock {Improvements to the ATLAS{\textendash}II}.
\newblock \href {http://brauer.maths.qmul.ac.uk/Atlas/info/fullatlasmods.html}
  {\texttt{http://brauer.maths.qmul.ac.uk/}\discretionary
  {}{}{}\texttt{Atlas/}\discretionary {}{}{}\texttt{info/}\discretionary
  {}{}{}\texttt{fullatlasmods.html}}.

\bibitem[NPP84]{NPP84}
J.~Neub{\"u}ser, H.~Pahlings, and W.~Plesken.
\newblock C{AS}; design and use of a system for the handling of characters of
  finite groups.
\newblock In M.~D. Atkinson, editor, {\em Computational group theory (Durham,
  1982)}, page 195{\textendash}247, London, 1984. Academic Press.

\bibitem[Ost86]{Ost86}
T.~Ostermann.
\newblock Charaktertafeln von {S}ylownormalisatoren sporadischer einfacher
  {G}ruppen.
\newblock Technical report, Universit{\"a}t Essen, Essen, 1986.

\bibitem[WPN{\etalchar{+}}19]{AtlasRep}
R.~A. Wilson, R.~A. Parker, S.~Nickerson, J.~N. Bray, and T.~Breuer.
\newblock {AtlasRep}, a \textsf{GAP} {I}nterface to the {A}tlas of {G}roup
  {R}epresentations, {V}ersion 2.1.
\newblock \href {https://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep}
  {\texttt{https://www.math.rwth-aachen.de/}\discretionary
  {}{}{}\texttt{\texttt{\symbol{126}}Thomas.Breuer/}\discretionary
  {}{}{}\texttt{atlasrep}}, May 2019.
\newblock \textsf{GAP} package.

\end{thebibliography}
