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<h3>References</h3>
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[<span class='BibKey'>SPAS</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="biBAMW82" name="biBAMW82"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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="http://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="http://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
Viktor Ziegler,
Mit einem Anhang von N. A. Milgram,
Zweite, unveränderte Auflage,
Deutsch-Taschenbücher, No. 21</span>).
</p>
<p><a id="biBBCFS91" name="biBBCFS91"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BCFS91</span>] <b class='BibAuthor'>Babai, L., Cooperman, G., Finkelstein, L. and Seress, Á.</b>,
<i class='BibTitle'>Nearly Linear Time Algorithms for Permutation Groups
with a Small Base</i>,
in <i class='BibBooktitle'>Proceedings of the International Symposium on Symbolic
and Algebraic Computation (ISSAC'91), Bonn 1991</i>,
<span class='BibPublisher'>ACM Press</span>
(<span class='BibYear'>1991</span>),
<span class='BibPages'>200–209</span>.
</p>
<p><a id="biBBaker84" name="biBBaker84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>),
<span class='BibPages'>xiii+95 pages</span>.
</p>
<p><a id="biBBC94" name="biBBC94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1226811">BC94</a></span>] <b class='BibAuthor'>Baum, U. and Clausen, M.</b>,
<i class='BibTitle'>Computing irreducible representations of supersolvable groups</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'>351–359</span>.
</p>
<p><a id="biBBTW93" name="biBBTW93"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1227929">BTW93</a></span>] <b class='BibAuthor'>Beauzamy, B., Trevisan, V. and Wang, P. S.</b>,
<i class='BibTitle'>Polynomial factorization: sharp bounds, efficient algorithms</i>,
<span class='BibJournal'>J. Symbolic Comput.</span>,
<em class='BibVolume'>15</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>1993</span>),
<span class='BibPages'>393–413</span>.
</p>
<p><a id="biBBC76" name="biBBC76"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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
algorithm</i>,
<span class='BibJournal'>Proc. Edinburgh Math. Soc. (2)</span>,
<em class='BibVolume'>20</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1976</span>),
<span class='BibPages'>73–79</span>.
</p>
<p><a id="biBBer76" name="biBBer76"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>,
<em class='BibVolume'>39</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1976</span>),
<span class='BibPages'>199–207</span>.
</p>
<p><a id="biBBesche92" name="biBBesche92"></a></p>
<p class='BibEntry'>
[<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>).
</p>
<p><a id="biBBescheEick98" name="biBBescheEick98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1681346">BE99a</a></span>] <b class='BibAuthor'>Besche, H. U. and Eick, B.</b>,
<i class='BibTitle'>Construction of finite groups</i>,
<span class='BibJournal'>J. Symbolic Comput.</span>,
<em class='BibVolume'>27</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>1999</span>),
<span class='BibPages'>387–404</span>.
</p>
<p><a id="biBBescheEick1000" name="biBBescheEick1000"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1681347">BE99b</a></span>] <b class='BibAuthor'>Besche, H. U. and Eick, B.</b>,
<i class='BibTitle'>The groups of order at most 1000 except 512 and 768</i>,
<span class='BibJournal'>J. Symbolic Comput.</span>,
<em class='BibVolume'>27</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>1999</span>),
<span class='BibPages'>405–413</span>.
</p>
<p><a id="biBBescheEick768" name="biBBescheEick768"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1853124">BE01</a></span>] <b class='BibAuthor'>Besche, H. U. and Eick, B.</b>,
<i class='BibTitle'>The groups of order q^n ⋅ p</i>,
<span class='BibJournal'>Comm. Algebra</span>,
<em class='BibVolume'>29</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>2001</span>),
<span class='BibPages'>1759–1772</span>.
</p>
<p><a id="biBBEO00" name="biBBEO00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1826989">BEO01</a></span>] <b class='BibAuthor'>Besche, H. U., Eick, B. and O'Brien, E. A.</b>,
<i class='BibTitle'>The groups of order at most 2000</i>,
<span class='BibJournal'>Electron. Res. Announc. Amer. Math. Soc.</span>,
<em class='BibVolume'>7</em>
(<span class='BibYear'>2001</span>),
<span class='BibPages'>1–4 (electronic)</span>.
</p>
<p><a id="biBBEO01" name="biBBEO01"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1935567">BEO02</a></span>] <b class='BibAuthor'>Besche, H. U., Eick, B. and O'Brien, E. A.</b>,
<i class='BibTitle'>A millennium project: constructing small groups</i>,
<span class='BibJournal'>Internat. J. Algebra Comput.</span>,
<em class='BibVolume'>12</em> (<span class='BibNumber'>5</span>)
(<span class='BibYear'>2002</span>),
<span class='BibPages'>623–644</span>.
</p>
<p><a id="biBBFS79" name="biBBFS79"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>,
<em class='BibVolume'>61</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1979</span>),
<span class='BibPages'>161–177</span>.
</p>
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<span class='BibType'>Diplomarbeit</span>,
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<span class='BibPages'>38–45</span><br />
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1633876">BP98</a></span>] <b class='BibAuthor'>Breuer, T. and Pfeiffer, G.</b>,
<i class='BibTitle'>Finding possible permutation characters</i>,
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[<span class='BibKey'>BLS75</span>] <b class='BibAuthor'>Brillhart, J., Lehmer, D. and Selfridge, J.</b>,
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[<span class='BibKeyLink'><a href="http://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>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0069818">Bur55</a></span>] <b class='BibAuthor'>Burnside, W.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1271082">But93</a></span>] <b class='BibAuthor'>Butler, G.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0407163">Car72</a></span>] <b class='BibAuthor'>Carter, R. W.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1228206">Coh93</a></span>] <b class='BibAuthor'>Cohen, H.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1075421">Con90a</a></span>] <b class='BibAuthor'>Conlon, S. B.</b>,
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<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="biBHIO89" name="biBHIO89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>)
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[<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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[<span class='BibKeyLink'><a href="http://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="http://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>,
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[<span class='BibKeyLink'><a href="http://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>,
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(<span class='BibYear'>1976</span>),
<span class='BibPages'>x+272 pages</span><br />
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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,
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[<span class='BibKey'>Hul96</span>] <b class='BibAuthor'>Hulpke, A.</b>,
<i class='BibTitle'>Konstruktion transitiver Permutationsgruppen</i>,
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<span class='BibSchool'>Rheinisch Westfälische
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<span class='BibAddress'>Aachen, Germany</span>
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1805183">Hul98</a></span>] <b class='BibAuthor'>Hulpke, A.</b>,
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(<span class='BibYear'>1998</span>),
<span class='BibPages'>194–198 (electronic)</span><br />
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1681348">Hul99</a></span>] <b class='BibAuthor'>Hulpke, A.</b>,
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[<span class='BibKeyLink'><a href="http://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>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1917425">Hul01</a></span>] <b class='BibAuthor'>Hulpke, A.</b>,
<i class='BibTitle'>Representing subgroups of finitely presented groups by
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2168238">Hul05</a></span>] <b class='BibAuthor'>Hulpke, A.</b>,
<i class='BibTitle'>Constructing transitive permutation groups</i>,
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[<span class='BibKeyLink'><a href="http://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>,
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(<span class='BibYear'>1972</span>),
<span class='BibPages'>xii+169 pages</span><br />
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[<span class='BibKeyLink'><a href="http://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>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0224703">Hup67</a></span>] <b class='BibAuthor'>Huppert, B.</b>,
<i class='BibTitle'>Endliche Gruppen. I</i>,
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[<span class='BibKeyLink'><a href="http://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>,
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[<span class='BibKeyLink'><a href="http://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>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1272584">IE94</a></span>] <b class='BibAuthor'>Ishibashi, H. and Earnest, A. G.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1367961">JLPW95</a></span>] <b class='BibAuthor'>Jansen, C., Lux, K., Parker, R. and Wilson, R.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1472735">Joh97</a></span>] <b class='BibAuthor'>Johnson, D. L.</b>,
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[<span class='BibKey'>Kau92</span>] <b class='BibAuthor'>Kaup, A.</b>,
<i class='BibTitle'>Gitterbasen und Charaktere endlicher Gruppen</i>,
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<span class='BibSchool'>Lehrstuhl D für Mathematik,
Rheinisch Westfälische
Technische Hochschule</span>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1842506">KLM01</a></span>] <b class='BibAuthor'>Kemper, G., Lübeck, F. and Magaard, K.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1057341">KL90</a></span>] <b class='BibAuthor'>Kleidman, P. and Liebeck, M.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0206169">Kli66</a></span>] <b class='BibAuthor'>Klimyk, A. U.</b>,
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[<span class='BibKeyLink'><a href="http://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.),
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=682664">LLL82</a></span>] <b class='BibAuthor'>Lenstra, A. K., Lenstra Jr., H. W. and Lovász, L.</b>,
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[<span class='BibKeyLink'><a href="http://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 ≤ n ≤ 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>.
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1265024">NP95</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> (<span class='BibNumber'>556</span>)
(<span class='BibYear'>1995</span>),
<span class='BibPages'>74–144</span><br />
(<span class='BibNote'>vol. 116</span>).
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[<span class='BibKeyLink'><a href="http://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>.
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<p><a id="biBNPP84" name="biBNPP84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>.
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<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>).
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<p><a id="biBNew90" name="biBNew90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>)
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<span class='BibPages'>209–211</span>.
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0453862">New77</a></span>] <b class='BibAuthor'>Newman, M. F.</b> (<span class='BibEditor'>Bryce, R. A., Cossey, J. and Newman, M. F.</span>, Eds.),
<i class='BibTitle'>Determination of groups of prime-power order</i>,
in <i class='BibBooktitle'>Group theory (Proc. Miniconf., Australian Nat. Univ.,
Canberra, 1975)</i>,
<span class='BibPublisher'>Springer</span>,
<span class='BibSeries'>Lecture Notes in Math.</span>,
<em class='BibVolume'>573</em>,
<span class='BibAddress'>Berlin</span>
(<span class='BibYear'>1977</span>),
<span class='BibPages'>73–84. Lecture Notes in Math., Vol. 573</span><br />
(<span class='BibNote'>Lecture Notes in Mathematics, Vol. 573</span>).
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2068084">NOV04</a></span>] <b class='BibAuthor'>Newman, M. F., O'Brien, E. A. and Vaughan-Lee, M. R.</b>,
<i class='BibTitle'>Groups and nilpotent Lie rings whose order is the sixth
power of a prime</i>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>278</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2004</span>),
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<p><a id="biBOBr90" name="biBOBr90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1075431">O'B90</a></span>] <b class='BibAuthor'>O'Brien, E. A.</b>,
<i class='BibTitle'>The p-group generation algorithm</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'>677–698</span><br />
(<span class='BibNote'>Computational group theory, Part 1</span>).
</p>
<p><a id="biBOBr91" name="biBOBr91"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1128656">O'B91</a></span>] <b class='BibAuthor'>O'Brien, E. A.</b>,
<i class='BibTitle'>The groups of order 256</i>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>143</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1991</span>),
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<p><a id="biBOV05" name="biBOV05"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2166803">OV05</a></span>] <b class='BibAuthor'>O'Brien, E. A. and Vaughan-Lee, M. R.</b>,
<i class='BibTitle'>The groups with order p^7 for odd prime p</i>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>292</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2005</span>),
<span class='BibPages'>243–258</span>.
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<p><a id="biBPah93" name="biBPah93"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>.
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<p><a id="biBPar84" name="biBPar84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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="http://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>)
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<span class='BibPages'>247–270</span>.
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<p><a id="biBPle85" name="biBPle85"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>),
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1344572">Ple95</a></span>] <b class='BibAuthor'>Plesken, W.</b>,
<i class='BibTitle'>Solving XX^ 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>.
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<p><a id="biBPN95" name="biBPN95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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> (<span class='BibNumber'>556</span>)
(<span class='BibYear'>1995</span>),
<span class='BibPages'>1–73</span><br />
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<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
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<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>,
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<p><a id="biBPoh87" name="biBPoh87"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>,
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<em class='BibVolume'>4</em> (<span class='BibNumber'>1</span>)
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<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>).
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>),
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=2166801">Ron05</a></span>] <b class='BibAuthor'>Roney-Dougal, C. M.</b>,
<i class='BibTitle'>The primitive permutation groups of degree less than 2500</i>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>292</em> (<span class='BibNumber'>1</span>)
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1976576">RU03</a></span>] <b class='BibAuthor'>Roney-Dougal, C. M. and Unger, W. R.</b>,
<i class='BibTitle'>The affine primitive permutation groups of degree less than
1000</i>,
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<em class='BibVolume'>35</em> (<span class='BibNumber'>4</span>)
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=922391">Roy87</a></span>] <b class='BibAuthor'>Royle, G. F.</b>,
<i class='BibTitle'>The transitive groups of degree twelve</i>,
<span class='BibJournal'>J. Symbolic Comput.</span>,
<em class='BibVolume'>4</em> (<span class='BibNumber'>2</span>)
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<p><a id="biBRylandsTalor98" name="biBRylandsTalor98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>),
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<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>).
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<p><a id="biBSch90" name="biBSch90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>,
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<em class='BibVolume'>9</em> (<span class='BibNumber'>5-6</span>)
(<span class='BibYear'>1990</span>),
<span class='BibPages'>601–606</span><br />
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<p class='BibEntry'>
[<span class='BibKey'>Sch11</span>] <b class='BibAuthor'>Schur, J.</b>,
<i class='BibTitle'>Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen</i>,
<span class='BibJournal'>Journal für die reine und angewandte Mathematik</span>,
<em class='BibVolume'>139</em>
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=0310051">Sco73</a></span>] <b class='BibAuthor'>Scott, L. L.</b>,
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[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1176516">Sho92</a></span>] <b class='BibAuthor'>Short, M. W.</b>,
<i class='BibTitle'>The primitive soluble permutation groups of degree less than
256</i>,
<span class='BibPublisher'>Springer-Verlag</span>,
<span class='BibSeries'>Lecture Notes in Mathematics</span>,
<em class='BibVolume'>1519</em>,
<span class='BibAddress'>Berlin</span>
(<span class='BibYear'>1992</span>),
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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 />
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>),
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<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://www.ams.org/mathscinet-getitem?mr=1810006">ACM</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>,
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<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>).
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<p><a id="biBSim70" name="biBSim70"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>,
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<span class='BibPublisher'>Pergamon</span>,
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<em class='BibVolume'>29</em>,
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(<span class='BibNotes'>RUSSIAN translation in: Computations in algebra and
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<p><a id="biBMS85" name="biBMS85"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="http://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>)
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[<span class='BibKeyLink'><a href="http://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
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<span class='BibJournal'>Math. Comp.</span>,
<em class='BibVolume'>63</em> (<span class='BibNumber'>207</span>)
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<span class='BibPages'>335–350</span><br />
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<p><a id="biBTay87" name="biBTay87"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Tay87</span>] <b class='BibAuthor'>Taylor, D. E.</b>,
<i class='BibTitle'>Pairs of Generators for Matrix Groups. I</i>,
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<p> </p>
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