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<h3>References</h3>


<p><a id="biBAMW82" name="biBAMW82"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=679157">AMW82</a></span>]   <b class='BibAuthor'>Arrell, D. G., Manrai, S. and Worboys, M. F.</b> (<span class='BibEditor'>Campbell, C. M. and Robertson, E. F.</span>, Eds.),
 <i class='BibTitle'>A procedure for obtaining simplified defining relations for a
              subgroup</i>,
  in  <i class='BibBooktitle'>Groups–St Andrews 1981 (St Andrews, 1981)</i>,
 <span class='BibPublisher'>Cambridge Univ. Press</span>,
 <span class='BibSeries'>London Math. Soc. Lecture Note Ser.</span>,
 <em class='BibVolume'>71</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1982</span>),
 <span class='BibPages'>155–159</span>.
</p>


<p><a id="biBAR84" name="biBAR84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=760644">AR84</a></span>]   <b class='BibAuthor'>Arrell, D. G. and Robertson, E. F.</b> (<span class='BibEditor'>Atkinson, M. D.</span>, Ed.),
 <i class='BibTitle'>A modified Todd-Coxeter algorithm</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'>27–32</span>.
</p>


<p><a id="biBArt68" name="biBArt68"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0392905">Art73</a></span>]   <b class='BibAuthor'>Artin, E.</b>,
 <i class='BibTitle'>Galoissche Theorie</i>,
 <span class='BibPublisher'>Verlag Harri Deutsch</span>,
 <span class='BibAddress'>Zurich</span>
 (<span class='BibYear'>1973</span>),
 <span class='BibPages'>86 pages</span><br />
(<span class='BibNote'>Übersetzung nach der zweiten englischen Auflage besorgt von
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              Mit einem Anhang von N. A. Milgram,
              Zweite, unveränderte Auflage,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=781734">Bak84</a></span>]   <b class='BibAuthor'>Baker, A.</b>,
 <i class='BibTitle'>A concise introduction to the theory of numbers</i>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1984</span>),
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0399265">BC76</a></span>]   <b class='BibAuthor'>Beetham, M. J. and Campbell, C. M.</b>,
 <i class='BibTitle'>A note on the Todd-Coxeter coset enumeration
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 <span class='BibJournal'>Proc. Edinburgh Math. Soc. (2)</span>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=968150">BC89</a></span>]   <b class='BibAuthor'>Brent, R. P. and Cohen, G. L.</b>,
 <i class='BibTitle'>A new lower bound for odd perfect numbers</i>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1226811">BC94</a></span>]   <b class='BibAuthor'>Baum, U. and Clausen, M.</b>,
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 <i class='BibTitle'>Nearly  Linear  Time Algorithms for Permutation Groups
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  in  <i class='BibBooktitle'>Proceedings of the International Symposium on Symbolic
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1681346">BE99</a></span>]   <b class='BibAuthor'>Besche, H. U. and Eick, B.</b>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0396729">Ber76</a></span>]   <b class='BibAuthor'>Berger, T. R.</b>,
 <i class='BibTitle'>Characters and derived length in groups of odd order</i>,
 <span class='BibJournal'>J. Algebra</span>,
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[<span class='BibKey'>Bes92</span>]   <b class='BibAuthor'>Besche, H. U.</b>,
 <i class='BibTitle'>Die    Berechnung    von    Charaktergraden    und
                      Charakteren   endlicher   auflösbarer
  Gruppen im Computeralgebrasystem GAP</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'>1992</span>).
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=554857">BFS79</a></span>]   <b class='BibAuthor'>Beyl, F. R., Felgner, U. and Schmid, P.</b>,
 <i class='BibTitle'>On groups occurring as center factor groups</i>,
 <span class='BibJournal'>J. Algebra</span>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=913203">BJR87</a></span>]   <b class='BibAuthor'>Brown, R., Johnson, D. L. and Robertson, E. F.</b>,
 <i class='BibTitle'>Some computations of nonabelian tensor products of groups</i>,
 <span class='BibJournal'>J. Algebra</span>,
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[<span class='BibKey'>BL98</span>]   <b class='BibAuthor'>Breuer, T. and Linton, S.</b>,
 <i class='BibTitle'>The   GAP 4   Type   System.   Organizing  Algebraic
                      Algorithms</i>,
  in  <i class='BibBooktitle'>ISSAC '98: Proceedings of the 1998 international symposium on
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 <span class='BibPublisher'>ACM Press</span>,
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 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>38–45</span><br />
(<span class='BibNote'>Chairman: Volker Weispfenning and Barry Trager</span>).
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[<span class='BibKey'>BLS75</span>]   <b class='BibAuthor'>Brillhart, J., Lehmer, D. and Selfridge, J.</b>,
<a href="https://doi.org/10.2307/2005583"><i class='BibTitle'>New primality criteria and factorizations of \(2^m \pm 1\)</i></a>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0274237">Bou70</a></span>]   <b class='BibAuthor'>Bourbaki, N.</b>,
 <i class='BibTitle'>Éléments de mathématique. Algèbre. Chapitres 1
              à 3</i>,
 <span class='BibPublisher'>Hermann</span>,
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 (<span class='BibYear'>1970</span>),
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[<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>,
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[<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>).
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1464789">Bre97</a></span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'>Integral bases for subfields of cyclotomic fields</i>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1687309">Bre99</a></span>]   <b class='BibAuthor'>Breuer, T.</b>,
 <i class='BibTitle'>Computing possible class fusions from character tables</i>,
 <span class='BibJournal'>Comm. Algebra</span>,
 <em class='BibVolume'>27</em> (<span class='BibNumber'>6</span>)
 (<span class='BibYear'>1999</span>),
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1227929">BTW93</a></span>]   <b class='BibAuthor'>Beauzamy, B., Trevisan, V. and Wang, P. S.</b>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0069818">Bur55</a></span>]   <b class='BibAuthor'>Burnside, W.</b>,
 <i class='BibTitle'>Theory of groups of finite order</i>,
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 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1955</span>),
 <span class='BibPages'>xxiv+512 pages</span><br />
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0318322">Can73</a></span>]   <b class='BibAuthor'>Cannon, J. J.</b>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0407163">Car72</a></span>]   <b class='BibAuthor'>Carter, R. W.</b>,
 <i class='BibTitle'>Simple groups of Lie type</i>,
 <span class='BibPublisher'>John Wiley &amp; Sons, London-New York-Sydney</span>
 (<span class='BibYear'>1972</span>),
 <span class='BibPages'>viii+331 pages</span><br />
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[<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>,
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 (<span class='BibYear'>1985</span>),
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 <span class='BibAddress'>New York</span>
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 <span class='BibPages'>xiv+536 pages</span><br />
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 <i class='BibTitle'>On the capability of groups</i>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=667230">Fra82</a></span>]   <b class='BibAuthor'>Frame, J. S.</b>,
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<p class='BibEntry'>
[<span class='BibKey'>Hav69</span>]   <b class='BibAuthor'>Havas, G.</b>,
 <i class='BibTitle'>Symbolic and Algebraic Calculation</i>,
 <span class='BibType'>Basser Computing Dept., Technical Report</span>,
 <span class='BibOrganization'>Basser  Department  of Computer Science, University of
                      Sydney</span> (<span class='BibNumber'>89</span>),
 <span class='BibAddress'>Sydney, Australia</span>
 (<span class='BibYear'>1969</span>).
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<p><a id="biBHav74b" name="biBHav74b"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0376827">Hav74</a></span>]   <b class='BibAuthor'>Havas, G.</b> (<span class='BibEditor'>Newman, M. F.</span>, Ed.),
 <i class='BibTitle'>A Reidemeister-Schreier program</i>,
  in  <i class='BibBooktitle'>Proceedings of the Second International Conference on the
  Theory of Groups (Australian Nat. Univ., Canberra, 1973)</i>,
 <span class='BibPublisher'>Springer</span>,
 <span class='BibSeries'>Lecture Notes in Math.</span>,
 <em class='BibVolume'>372</em>,
 <span class='BibAddress'>Berlin</span>
 (<span class='BibYear'>1974</span>),
 <span class='BibPages'>347–356. Lecture Notes in Math., Vol. 372</span><br />
(<span class='BibNote'>Held at the Australian National University, Canberra, August
              13–24, 1973,
              With an introduction by B. H. Neumann,
              Lecture Notes in Mathematics, Vol. 372</span>).
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<p><a id="biBHup82" name="biBHup82"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=650245">HB82</a></span>]   <b class='BibAuthor'>Huppert, B. and Blackburn, N.</b>,
 <i class='BibTitle'>Finite groups. II</i>,
 <span class='BibPublisher'>Springer-Verlag</span>,
 <span class='BibSeries'>Grundlehren Math. Wiss.</span>,
 <em class='BibVolume'>242</em>,
 <span class='BibAddress'>Berlin</span>
 (<span class='BibYear'>1982</span>),
 <span class='BibPages'>xiii+531 pages</span>.
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1039540">HIÖ89</a></span>]   <b class='BibAuthor'>Hawkes, T., Isaacs, I. M. and Özaydin, M.</b>,
 <i class='BibTitle'>On the Möbius function of a finite group</i>,
 <span class='BibJournal'>Rocky Mountain J. Math.</span>,
 <em class='BibVolume'>19</em> (<span class='BibNumber'>4</span>)
 (<span class='BibYear'>1989</span>),
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0103215">HJ59</a></span>]   <b class='BibAuthor'>Hall Jr., M.</b>,
 <i class='BibTitle'>The theory of groups</i>,
 <span class='BibPublisher'>The Macmillan Co.</span>,
 <span class='BibAddress'>New York, N.Y.</span>
 (<span class='BibYear'>1959</span>),
 <span class='BibPages'>xiii+434 pages</span>.
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<p class='BibEntry'>
[<span class='BibKey'>HJLP</span>]   <b class='BibAuthor'>Hiss, G., Jansen, C., Lux, K. and Parker, R. A.</b>,
 <i class='BibTitle'>Computational Modular Character Theory</i>,
<span class='BibHowpublished'><a href="http://www.math.rwth-aachen.de/~MOC/CoMoChaT/">http://www.math.rwth-aachen.de/~MOC/CoMoChaT/</a></span>.
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=760651">HKRR84</a></span>]   <b class='BibAuthor'>Havas, G., Kenne, P. E., Richardson, J. S. and Robertson, E. F.</b> (<span class='BibEditor'>Atkinson, M. D.</span>, Ed.),
 <i class='BibTitle'>A Tietze transformation program</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'>69–73</span>.
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0466355">How76</a></span>]   <b class='BibAuthor'>Howie, J. M.</b>,
 <i class='BibTitle'>An introduction to semigroup theory</i>,
 <span class='BibPublisher'>Academic Press [Harcourt Brace Jovanovich Publishers]</span>,
 <span class='BibAddress'>London</span>
 (<span class='BibYear'>1976</span>),
 <span class='BibPages'>x+272 pages</span><br />
(<span class='BibNote'>L.M.S. Monographs, No. 7</span>).
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<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,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1279282">HR94</a></span>]   <b class='BibAuthor'>Holt, D. F. and Rees, S.</b>,
 <i class='BibTitle'>Testing modules for irreducibility</i>,
 <span class='BibJournal'>J. Austral. Math. Soc. Ser. A</span>,
 <em class='BibVolume'>57</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1994</span>),
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[<span class='BibKey'>Hul93</span>]   <b class='BibAuthor'>Hulpke, A.</b>,
 <i class='BibTitle'>Zur Berechnung von Charaktertafeln</i>,
 <span class='BibType'>Diplomarbeit</span>,
 <span class='BibSchool'>Lehrstuhl   D   für  Mathematik,
                      Rheinisch               Westfälische
                      Technische Hochschule</span>
 (<span class='BibYear'>1993</span>).
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[<span class='BibKey'>Hul96</span>]   <b class='BibAuthor'>Hulpke, A.</b>,
 <i class='BibTitle'>Konstruktion transitiver Permutationsgruppen</i>,
 <span class='BibType'>Dissertation</span>,
 <span class='BibPublisher'>Verlag der Augustinus Buchhandlung, Aachen</span>,
 <span class='BibSchool'>Rheinisch               Westfälische
                      Technische Hochschule</span>,
 <span class='BibAddress'>Aachen, Germany</span>
 (<span class='BibYear'>1996</span>).
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1805183">Hul98</a></span>]   <b class='BibAuthor'>Hulpke, A.</b>,
 <i class='BibTitle'>Computing normal subgroups</i>,
  in  <i class='BibBooktitle'>Proceedings of the 1998 International Symposium on Symbolic
              and Algebraic Computation (Rostock)</i>,
 <span class='BibPublisher'>ACM</span>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>194–198 (electronic)</span><br />
(<span class='BibNote'>Chairman: Volker Weispfenning and Barry Trager</span>).
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1681348">Hul99</a></span>]   <b class='BibAuthor'>Hulpke, A.</b>,
 <i class='BibTitle'>Computing subgroups invariant under a set of automorphisms</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1659847">Hul00</a></span>]   <b class='BibAuthor'>Hulpke, A.</b>,
 <i class='BibTitle'>Conjugacy classes in finite permutation groups via homomorphic
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 <span class='BibJournal'>Math. Comp.</span>,
 <em class='BibVolume'>69</em> (<span class='BibNumber'>232</span>)
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1917425">Hul01</a></span>]   <b class='BibAuthor'>Hulpke, A.</b>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0323842">Hum72</a></span>]   <b class='BibAuthor'>Humphreys, J. E.</b>,
 <i class='BibTitle'>Introduction to Lie algebras and representation theory</i>,
 <span class='BibPublisher'>Springer-Verlag</span>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1972</span>),
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=499562">Hum78</a></span>]   <b class='BibAuthor'>Humphreys, J. E.</b>,
 <i class='BibTitle'>Introduction to Lie algebras and representation theory</i>,
 <span class='BibPublisher'>Springer-Verlag</span>,
 <span class='BibSeries'>Graduate Texts in Mathematics</span>,
 <em class='BibVolume'>9</em>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1978</span>),
 <span class='BibPages'>xii+171 pages</span><br />
(<span class='BibNote'>Second printing, revised</span>).
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<p><a id="biBHup67" name="biBHup67"></a></p>
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[<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>),
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<p><a id="biBIshibashiEarnest94" name="biBIshibashiEarnest94"></a></p>
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1272584">IE94</a></span>]   <b class='BibAuthor'>Ishibashi, H. and Earnest, A. G.</b>,
 <i class='BibTitle'>Two-element generation of orthogonal groups over finite
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 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>165</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1994</span>),
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[<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>).
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=644144">JK81</a></span>]   <b class='BibAuthor'>James, G. and Kerber, A.</b>,
 <i class='BibTitle'>The representation theory of the symmetric group</i>,
 <span class='BibPublisher'>Addison-Wesley Publishing Co., Reading, Mass.</span>,
 <span class='BibSeries'>Encyclopedia of Mathematics and its Applications</span>,
 <em class='BibVolume'>16</em>
 (<span class='BibYear'>1981</span>),
 <span class='BibPages'>xxviii+510 pages</span><br />
(<span class='BibNote'>With a foreword by P. M. Cohn,
              With an introduction by Gilbert de B. Robinson</span>).
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[<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,
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<p><a id="biBJoh97" name="biBJoh97"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1472735">Joh97</a></span>]   <b class='BibAuthor'>Johnson, D. L.</b>,
 <i class='BibTitle'>Presentations of groups</i>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibEdition'>Second edition</span>,
 <span class='BibSeries'>London Mathematical Society Student Texts</span>,
 <em class='BibVolume'>15</em>,
 <span class='BibAddress'>Cambridge</span>
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[<span class='BibKey'>Kau92</span>]   <b class='BibAuthor'>Kaup, A.</b>,
 <i class='BibTitle'>Gitterbasen und Charaktere endlicher Gruppen</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'>1992</span>).
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<p><a id="biBKleidmanLiebeck90" name="biBKleidmanLiebeck90"></a></p>
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[<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>,
 <i class='BibTitle'>The subgroup structure of the finite classical groups</i>,
 <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>),
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0206169">Kli66</a></span>]   <b class='BibAuthor'>Klimyk, A. U.</b>,
 <i class='BibTitle'>Decomposition of the direct product of irreducible
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 <span class='BibJournal'>Ukrain. Mat. Ž.</span>,
 <em class='BibVolume'>18</em> (<span class='BibNumber'>5</span>)
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[<span class='BibKey'>Kli68</span>]   <b class='BibAuthor'>Klimyk, A. U.</b>,
 <i class='BibTitle'>Decomposition  of  a  direct  product  of  irreducible
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 <span class='BibPublisher'>American Mathematical Society</span>,
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 <span class='BibAddress'>Providence, R.I.</span>
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1842506">KLM01</a></span>]   <b class='BibAuthor'>Kemper, G., Lübeck, F. and Magaard, K.</b>,
 <i class='BibTitle'>Matrix generators for the Ree groups
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 <span class='BibJournal'>Comm. Algebra</span>,
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[<span class='BibKey'>Knu98</span>]   <b class='BibAuthor'>Knuth, D. E.</b>,
 <i class='BibTitle'>The   Art   of   Computer   Programming,   Volume   2:
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 <span class='BibPublisher'>Addison-Wesley</span>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=282947">Lan70</a></span>]   <b class='BibAuthor'>Lang, S.</b>,
 <i class='BibTitle'>Algebraic number theory</i>,
 <span class='BibPublisher'>Addison-Wesley Publishing Co., Reading, Mass.-London-Don
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1146516">Leo91</a></span>]   <b class='BibAuthor'>Leon, J. S.</b>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=682664">LLJL82</a></span>]   <b class='BibAuthor'>Lenstra, A. K., Lenstra Jr., H. W. and Lovász, L.</b>,
 <i class='BibTitle'>Factoring polynomials with rational coefficients</i>,
 <span class='BibJournal'>Math. Ann.</span>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=760654">LNS84</a></span>]   <b class='BibAuthor'>Laue, R., Neubüser, J. and Schoenwaelder, U.</b> (<span class='BibEditor'>Atkinson, M. D.</span>, Ed.),
 <i class='BibTitle'>Algorithms for finite soluble groups and the SOGOS
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  in  <i class='BibBooktitle'>Computational group theory (Durham, 1982)</i>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1112157">LP91</a></span>]   <b class='BibAuthor'>Lux, K. and Pahlings, H.</b> (<span class='BibEditor'>Michler, G. O. and Ringel, C. M.</span>, Eds.),
 <i class='BibTitle'>Computational aspects of representation theory of finite
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1445430">LRW97</a></span>]   <b class='BibAuthor'>Luks, E. M., Rákóczi, F. and Wright, C. R. B.</b>,
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<p><a id="biBL03" name="biBL03"></a></p>
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[<span class='BibKey'>Lüb03</span>]   <b class='BibAuthor'>Lübeck, F.</b>,
 <i class='BibTitle'>Conway polynomials for finite fields</i>
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[<span class='BibKey'>Maa10</span>]   <b class='BibAuthor'>Maas, L.</b>,
<a href="https://arxiv.org/abs/0911.3794"><i class='BibTitle'>On a construction of the basic spin representations of symmetric groups</i></a>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=615131">Mac81</a></span>]   <b class='BibAuthor'>Macdonald, I. G.</b>,
 <i class='BibTitle'>Numbers of conjugacy classes in some finite classical groups</i>,
 <span class='BibJournal'>Bull. Austral. Math. Soc.</span>,
 <em class='BibVolume'>23</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1981</span>),
 <span class='BibPages'>23–48</span>.
</p>


<p><a id="biBMeckyNeubueser89" name="biBMeckyNeubueser89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1012835">MN89</a></span>]   <b class='BibAuthor'>Mecky, M. and Neubüser, J.</b>,
 <i class='BibTitle'>Some remarks on the computation of conjugacy classes of
              soluble groups</i>,
 <span class='BibJournal'>Bull. Austral. Math. Soc.</span>,
 <em class='BibVolume'>40</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1989</span>),
 <span class='BibPages'>281–292</span>.
</p>


<p><a id="biBMur58" name="biBMur58"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0103933">Mur58</a></span>]   <b class='BibAuthor'>Murnaghan, F. D.</b>,
 <i class='BibTitle'>The orthogonal and symplectic groups</i>,
 <span class='BibJournal'>Comm. Dublin Inst. Adv. Studies. Ser. A, no.</span>,
 <em class='BibVolume'>13</em>
 (<span class='BibYear'>1958</span>),
 <span class='BibPages'>146</span>.
</p>


<p><a id="biBMV97" name="biBMV97"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1484546">MV97</a></span>]   <b class='BibAuthor'>Mahajan, M. and Vinay, V.</b>,
 <i class='BibTitle'>Determinant: combinatorics, algorithms, and complexity</i>,
 <span class='BibJournal'>Chicago J. Theoret. Comput. Sci.</span>
 (<span class='BibYear'>1997</span>),
 <span class='BibPages'>Article 5, 26 pp. (electronic)</span>.
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<p><a id="biBMY79" name="biBMY79"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=521296">MY79</a></span>]   <b class='BibAuthor'>McKay, J. and Young, K. C.</b>,
 <i class='BibTitle'>The nonabelian simple groups \(G\),
  \(|G| &lt; 10^{6}\)–minimal generating pairs</i>,
 <span class='BibJournal'>Math. Comp.</span>,
 <em class='BibVolume'>33</em> (<span class='BibNumber'>146</span>)
 (<span class='BibYear'>1979</span>),
 <span class='BibPages'>812–814</span>.
</p>


<p><a id="biBNeb95" name="biBNeb95"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Neb95</span>]   <b class='BibAuthor'>Nebe, G.</b>,
 <i class='BibTitle'>Endliche rationale Matrixgruppen vom Grad 24</i>,
 <span class='BibType'>Dissertation</span>,
 <span class='BibSchool'>Rheinisch Westfälische Technische Hochschule</span>,
 <span class='BibSeries'>Aachener Beiträge zur Mathematik</span>,
 <em class='BibVolume'>12</em>,
 <span class='BibAddress'>Aachen, Germany</span>
 (<span class='BibYear'>1995</span>).
</p>


<p><a id="biBNeb96" name="biBNeb96"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1390378">Neb96</a></span>]   <b class='BibAuthor'>Nebe, G.</b>,
 <i class='BibTitle'>Finite subgroups of \(GL_n(Q)\) for
      \(25 \leq n \leq 31\)</i>,
 <span class='BibJournal'>Comm. Algebra</span>,
 <em class='BibVolume'>24</em> (<span class='BibNumber'>7</span>)
 (<span class='BibYear'>1996</span>),
 <span class='BibPages'>2341–2397</span>.
</p>


<p><a id="biBNeu82" name="biBNeu82"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=679153">Neu82</a></span>]   <b class='BibAuthor'>Neubüser, J.</b> (<span class='BibEditor'>Campbell, C. M. and Robertson, E. F.</span>, Eds.),
 <i class='BibTitle'>An elementary introduction to coset table methods in
              computational group theory</i>,
  in  <i class='BibBooktitle'>Groups–St Andrews 1981 (St Andrews, 1981)</i>,
 <span class='BibPublisher'>Cambridge Univ. Press</span>,
 <span class='BibSeries'>London Math. Soc. Lecture Note Ser.</span>,
 <em class='BibVolume'>71</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1982</span>),
 <span class='BibPages'>1–45</span>.
</p>


<p><a id="biBneukirch" name="biBneukirch"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Neu92</span>]   <b class='BibAuthor'>Neukirch, J.</b>,
 <i class='BibTitle'>Algebraische Zahlentheorie</i>,
 <span class='BibPublisher'>Springer, Berlin, Heidelberg and New York</span>
 (<span class='BibYear'>1992</span>).
</p>


<p><a id="biBNew90" name="biBNew90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1037607">New90</a></span>]   <b class='BibAuthor'>Newman, M. F.</b>,
 <i class='BibTitle'>Proving a group infinite</i>,
 <span class='BibJournal'>Arch. Math. (Basel)</span>,
 <em class='BibVolume'>54</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>209–211</span>.
</p>


<p><a id="biBNP95" name="biBNP95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1265024">NP95b</a></span>]   <b class='BibAuthor'>Nebe, G. and Plesken, W.</b>,
 <i class='BibTitle'>Finite rational matrix groups of degree 16</i>,
 <span class='BibJournal'>Mem. Amer. Math. Soc.</span>,
 <span class='BibPublisher'>AMS</span>,
 <em class='BibVolume'>116</em> (<span class='BibNumber'>556</span>)
 (<span class='BibYear'>1995</span>),
 <span class='BibPages'>74–144</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="biBPah93" name="biBPah93"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1193087">Pah93</a></span>]   <b class='BibAuthor'>Pahlings, H.</b>,
 <i class='BibTitle'>On the Möbius function of a finite group</i>,
 <span class='BibJournal'>Arch. Math. (Basel)</span>,
 <em class='BibVolume'>60</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1993</span>),
 <span class='BibPages'>7–14</span>.
</p>


<p><a id="biBPar84" name="biBPar84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=760660">Par84</a></span>]   <b class='BibAuthor'>Parker, R. A.</b> (<span class='BibEditor'>Atkinson, M. D.</span>, Ed.),
 <i class='BibTitle'>The computer calculation of modular characters (the meat-axe)</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'>267–274</span>.
</p>


<p><a id="biBPfe91" name="biBPfe91"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Pfe91</span>]   <b class='BibAuthor'>Pfeiffer, G.</b>,
 <i class='BibTitle'>Von Permutationscharakteren und Markentafeln</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="biBPfe97" name="biBPfe97"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1481593">Pfe97</a></span>]   <b class='BibAuthor'>Pfeiffer, G.</b>,
 <i class='BibTitle'>The subgroups of \(M_{24}\), or how to compute the table of
              marks of a finite group</i>,
 <span class='BibJournal'>Experiment. Math.</span>,
 <em class='BibVolume'>6</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1997</span>),
 <span class='BibPages'>247–270</span>.
</p>


<p><a id="biBPle85" name="biBPle85"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=812182">Ple85</a></span>]   <b class='BibAuthor'>Plesken, W.</b>,
 <i class='BibTitle'>Finite unimodular groups of prime degree and circulants</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>97</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1985</span>),
 <span class='BibPages'>286–312</span>.
</p>


<p><a id="biBPle90" name="biBPle90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1344572">Ple95</a></span>]   <b class='BibAuthor'>Plesken, W.</b>,
 <i class='BibTitle'>Solving \(XX^{\rm tr} = A\) over the integers</i>,
 <span class='BibJournal'>Linear Algebra Appl.</span>,
 <em class='BibVolume'>226/228</em>
 (<span class='BibYear'>1995</span>),
 <span class='BibPages'>331--344</span>.
</p>


<p><a id="biBPN95" name="biBPN95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1265024">PN95</a></span>]   <b class='BibAuthor'>Plesken, W. and Nebe, G.</b>,
 <i class='BibTitle'>Finite rational matrix groups</i>,
 <span class='BibJournal'>Mem. Amer. Math. Soc.</span>,
 <span class='BibPublisher'>AMS</span>,
 <em class='BibVolume'>116</em> (<span class='BibNumber'>556</span>)
 (<span class='BibYear'>1995</span>),
 <span class='BibPages'>1–73</span>.
</p>


<p><a id="biBPoh87" name="biBPoh87"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=908420">Poh87</a></span>]   <b class='BibAuthor'>Pohst, M.</b>,
 <i class='BibTitle'>A modification of the LLL reduction algorithm</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>4</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1987</span>),
 <span class='BibPages'>123–127</span>.
</p>


<p><a id="biBPP77" name="biBPP77"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>PP77</span>]   <b class='BibAuthor'>Plesken, W. and Pohst, M.</b>,
 <i class='BibTitle'>On  maximal finite irreducible Subgroups of GL(n,Z).
  I. The five and seven dimensional cases, II. The
                      six dimensional case</i>,
 <span class='BibJournal'>Math. Comp.</span>,
 <em class='BibVolume'>31</em>
 (<span class='BibYear'>1977</span>),
 <span class='BibPages'>536–576</span>.
</p>


<p><a id="biBPP80" name="biBPP80"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>PP80</span>]   <b class='BibAuthor'>Plesken, W. and Pohst, M.</b>,
 <i class='BibTitle'>On  maximal finite irreducible Subgroups of GL(n,Z).
  III. The nine dimensional case, IV. Remarks on
  even dimensions with application to n = 8, V. The
                      eight  dimensional  case and a complete description of
                      dimensions less than ten</i>,
 <span class='BibJournal'>Math. Comp.</span>,
 <em class='BibVolume'>34</em>
 (<span class='BibYear'>1980</span>),
 <span class='BibPages'>245–301</span>.
</p>


<p><a id="biBRin93" name="biBRin93"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Rin93</span>]   <b class='BibAuthor'>Ringe, M.</b>,
 <i class='BibTitle'>The C MeatAxe, Release 1.5</i>,
 <span class='BibOrganization'>Lehrstuhl   D   für  Mathematik,
                      Rheinisch               Westfälische
                      Technische Hochschule</span>,
 <span class='BibAddress'>Aachen, Germany</span>
 (<span class='BibYear'>1993</span>).
</p>


<p><a id="biBRob88" name="biBRob88"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=961370">Rob88</a></span>]   <b class='BibAuthor'>Robertson, E. F.</b>,
 <i class='BibTitle'>Tietze transformations with weighted substring search</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>6</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1988</span>),
 <span class='BibPages'>59–64</span>.
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<p><a id="biBRylandsTalor98" name="biBRylandsTalor98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1615330">RT98</a></span>]   <b class='BibAuthor'>Rylands, L. J. and Taylor, D. E.</b>,
 <i class='BibTitle'>Matrix generators for the orthogonal groups</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>25</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>351–360</span>.
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<p><a id="biBSchur1911" name="biBSchur1911"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Sch11</span>]   <b class='BibAuthor'>Schur, J.</b>,
<a href="http://www.digizeitschriften.de/resolveppn/GDZPPN002167298"><i class='BibTitle'>Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen</i></a>,
 <span class='BibJournal'>Journal für die reine und angewandte Mathematik</span>,
 <em class='BibVolume'>139</em>
 (<span class='BibYear'>1911</span>),
 <span class='BibPages'>155–250</span>.
</p>


<p><a id="biBSch90" name="biBSch90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1075426">Sch90</a></span>]   <b class='BibAuthor'>Schneider, G. J. A.</b>,
 <i class='BibTitle'>Dixon's character table algorithm revisited</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>9</em> (<span class='BibNumber'>5-6</span>)
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>601–606</span><br />
(<span class='BibNote'>Computational group theory, Part 1</span>).
</p>


<p><a id="biBScherner92" name="biBScherner92"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Sch92</span>]   <b class='BibAuthor'>Scherner, M.</b>,
 <i class='BibTitle'>Erweiterung        einer        Arithmetik       von
                      Kreisteilungskörpern    auf    deren
                      Teilkörper  und deren Implementation
                      in GAP</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'>1992</span>).
</p>


<p><a id="biBSchiffer94" name="biBSchiffer94"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Sch94</span>]   <b class='BibAuthor'>Schiffer, U.</b>,
 <i class='BibTitle'>Cliffordmatrizen</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'>1994</span>).
</p>


<p><a id="biBSco73" name="biBSco73"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0310051">Sco73</a></span>]   <b class='BibAuthor'>Scott, L. L.</b>,
 <i class='BibTitle'>Modular permutation representations</i>,
 <span class='BibJournal'>Trans. Amer. Math. Soc.</span>,
 <em class='BibVolume'>175</em>
 (<span class='BibYear'>1973</span>),
 <span class='BibPages'>101–121</span>.
</p>


<p><a id="biBSeress2003" name="biBSeress2003"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Ser03</span>]   <b class='BibAuthor'>Seress, Á.</b>,
 <i class='BibTitle'>Permutation Group Algorithms</i>,
 <span class='BibPublisher'>Cambridge University Press</span>
 (<span class='BibYear'>2003</span>).
</p>


<p><a id="biBSim70" name="biBSim70"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0257203">Sim70</a></span>]   <b class='BibAuthor'>Sims, C. C.</b> (<span class='BibEditor'>Leech, J.</span>, Ed.),
 <i class='BibTitle'>Computational methods in the study of permutation groups</i>,
  in  <i class='BibBooktitle'>Computational Problems in Abstract Algebra (Proc. Conf.,
              Oxford, 1967) </i>,
 <span class='BibPublisher'>Pergamon</span>,
 <span class='BibSeries'>Proceedings of a Conference held at Oxford under the auspices
  of the Science Research Council, Atlas Computer Laboratory</span>,
 <em class='BibVolume'>29</em>,
 <span class='BibAddress'>Oxford</span>
 (<span class='BibYear'>1970</span>),
 <span class='BibPages'>169–183</span><br />
(<span class='BibNotes'>RUSSIAN  translation  in:  Computations in algebra and
                      number  theory  (Russian),  edited by B. B. Venkov and
                      D. K.  Faddeev,  pp.  129–147,  Matematika,  Novoie v
  Zarubeznoi Naukie, vol. 2, Izdat. MIR, Moscow, 1976</span>).
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<p><a id="biBSims90b" name="biBSims90b"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1075432">Sim90</a></span>]   <b class='BibAuthor'>Sims, C. C.</b>,
 <i class='BibTitle'>Computing the order of a solvable permutation group</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>9</em> (<span class='BibNumber'>5-6</span>)
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>699–705</span><br />
(<span class='BibNote'>Computational group theory, Part 1</span>).
</p>


<p><a id="biBSims94" name="biBSims94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1267733">Sim94</a></span>]   <b class='BibAuthor'>Sims, C. C.</b>,
 <i class='BibTitle'>Computation with finitely presented groups</i>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibSeries'>Encyclopedia of Mathematics and its Applications</span>,
 <em class='BibVolume'>48</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1994</span>),
 <span class='BibPages'>xiii+604 pages</span>.
</p>


<p><a id="biBSims97" name="biBSims97"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1810006">Sim97</a></span>]   <b class='BibAuthor'>Sims, C. C.</b> (<span class='BibEditor'>Küchlin, W.</span>, Ed.),
 <i class='BibTitle'>Computing with subgroups of automorphism groups of finite
              groups</i>,
  in  <i class='BibBooktitle'>Proceedings of the 1997 International Symposium on Symbolic
              and Algebraic Computation (Kihei, HI)</i>,
 <span class='BibOrganization'>The Association for Computing Machinery</span>,
 <span class='BibPublisher'>ACM</span>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1997</span>),
 <span class='BibPages'>400–403 (electronic)</span><br />
(<span class='BibNote'>Held in Kihei, HI, July 21–23, 1997</span>).
</p>


<p><a id="biBMS85" name="biBMS85"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=797178">SM85</a></span>]   <b class='BibAuthor'>Soicher, L. and McKay, J.</b>,
 <i class='BibTitle'>Computing Galois groups over the rationals</i>,
 <span class='BibJournal'>J. Number Theory</span>,
 <em class='BibVolume'>20</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1985</span>),
 <span class='BibPages'>273–281</span>.
</p>


<p><a id="biBSou94" name="biBSou94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1213836">Sou94</a></span>]   <b class='BibAuthor'>Souvignier, B.</b>,
 <i class='BibTitle'>Irreducible finite integral matrix groups of degree \(8\)
      and
              \(10\)</i>,
 <span class='BibJournal'>Math. Comp.</span>,
 <em class='BibVolume'>63</em> (<span class='BibNumber'>207</span>)
 (<span class='BibYear'>1994</span>),
 <span class='BibPages'>335–350</span><br />
(<span class='BibNote'>With microfiche supplement</span>).
</p>


<p><a id="biBSpa89" name="biBSpa89"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>SPA89</span>]   
 <i class='BibTitle'>SPAS - Subgroup Presentation Algorithms
  System, version 2.5, User's reference manual</i>,
 <span class='BibOrganization'>Lehrstuhl   D   für  Mathematik,
                      Rheinisch               Westfälische
                      Technische Hochschule</span>,
 <span class='BibAddress'>Aachen, Germany</span>
 (<span class='BibYear'>1989</span>).
</p>


<p><a id="biBTay87" name="biBTay87"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Tay87</span>]   <b class='BibAuthor'>Taylor, D. E.</b>,
<a href="https://arxiv.org/abs/2201.09155"><i class='BibTitle'>Pairs of Generators for Matrix Groups. I</i></a>,
 <span class='BibJournal'>The Cayley Bulletin</span>,
 <em class='BibVolume'>3</em>
 (<span class='BibYear'>1987</span>).
</p>


<p><a id="biBTheissen93" name="biBTheissen93"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>The93</span>]   <b class='BibAuthor'>Theißen, H.</b>,
 <i class='BibTitle'>Methoden zur Bestimmung der rationalen Konjugiertheit
                      in endlichen Gruppen</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'>1993</span>).
</p>


<p><a id="biBTheissen97" name="biBTheissen97"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>The97</span>]   <b class='BibAuthor'>Theißen, H.</b>,
 <i class='BibTitle'>Eine    Methode    zur    Normalisatorberechnung   in
                      Permutationsgruppen  mit  Anwendungen in
                      der Konstruktion primitiver Gruppen</i>,
 <span class='BibType'>Dissertation</span>,
 <span class='BibSchool'>Rheinisch               Westfälische
                      Technische Hochschule</span>,
 <span class='BibAddress'>Aachen, Germany</span>
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=842445">Tho86</a></span>]   <b class='BibAuthor'>Thompson, J. G.</b>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0424931">vdW76</a></span>]   <b class='BibAuthor'>van der Waall, R. W.</b>,
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[<span class='BibKey'>Wie69</span>]   <b class='BibAuthor'>Wielandt, H.</b>,
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[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1041893">Zag90</a></span>]   <b class='BibAuthor'>Zagier, D.</b>,
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 (<span class='BibYear'>1989</span>).
</p>

<p> </p>


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