[1XReferences[0X [[20XGAP[15X] [17XGAP â Groups, Algorithms, and Programming, Version 4.4.10[15X, The GAP Group (2007), http://www.gap-system.org. [[20XBSWW01[15X] [16XBray, J. N., Suleiman, I. A. I., Walsh, P. G. and Wilson, R. A.[15X, [17XGenerating maximal subgroups of sporadic simple groups[15X, [18XComm. Algebra[15X, [19X29[15X, 3 (2001), 1325â1337. [[20XBre04[15X] [16XBreuer, T.[15X, [17XThe GAP Character Table Library, Version 1.1.3[15X (2004), ((GAP package)), http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib. [[20XBL08[15X] [16XBreuer, T. and Lübeck, F.[15X, [17XBrowse, ncurses interface and browsing applications, Version 1.2[15X (2008), ((GAP package)), http://www.gap-system.org/Packages/browse.html. [[20XBN95[15X] [16XBreuer, T. and Norton, S. P.[15X, [17XImprovements to the Atlas[15X, The Clarendon Press Oxford University Press, London Mathematical Society Monographs. New Series, [19X11[15X, New York (1995), 297â327, ((Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications)). [[20XCP96[15X] [16XCannon, J. J. and Playoust, C.[15X, [17XAn introduction to algebraic programming in Magma[15X, School of Mathematics and Statistics, University of Sydney, Sydney, Australia (1996), http://www.math.usyd.edu.au:8000/u/magma. [[20XCCNPW85[15X] [16XConway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A.[15X, [17XAtlas of finite groups[15X, Oxford University Press, Eynsham (1985), xxxiv+252 pages, ((Maximal subgroups and ordinary characters for simple groups, With computational assistance from J. G. Thackray)). [[20XHL89[15X] [16XHiss, G. and Lux, K.[15X, [17XBrauer trees of sporadic groups[15X, The Clarendon Press Oxford University Press, Oxford Science Publications, New York (1989), x+526 pages. [[20XHup67[15X] [16XHuppert, B.[15X, [17XEndliche Gruppen. I[15X, Springer-Verlag, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Berlin (1967), xii+793 pages. [[20XJan05[15X] [16XJansen, C.[15X, [17XThe minimal degrees of faithful representations of the sporadic simple groups and their covering groups[15X, [18XLMS J. Comput. Math.[15X, [19X8[15X (2005), 122â144 (electronic). [[20XJLPW95[15X] [16XJansen, C., Lux, K., Parker, R. and Wilson, R.[15X, [17XAn atlas of Brauer characters[15X, The Clarendon Press Oxford University Press, London Mathematical Society Monographs. New Series, [19X11[15X, New York (1995), xviii+327 pages, ((Appendix 2 by T. Breuer and S. Norton, Oxford Science Publications)). [[20XLN08[15X] [16XLübeck, F. and Neunhöffer, M.[15X, [17XGAP, A Meta Package for GAP Documentation, Version 1.2[15X (2008), ((GAP package)), http://www.gap-system.org/Packages/gapdoc.html. [[20XNeu07[15X] [16XNeunhöffer, M.[15X, [17XIO, Bindings for low level C library IO Version 2.2[15X (2007), ((GAP package)), http://www.gap-system.org/Packages/io.html. [[20XNic06[15X] [16XNickerson, S. J.[15X, [17XAn Atlas of Characteristic Zero Representations[15X, Phd thesis, School of Mathematics, University of Birmingham (2006). [[20XNW05[15X] [16XNickerson, S. J. and Wilson, R. A.[15X, [17XSemi-presentations for the sporadic simple groups[15X, [18XExperiment. Math.[15X, [19X14[15X, 3 (2005), 359â371. [[20XRin98[15X] [16XRinge, M.[15X, [17XThe C MeatAxe, Release 2.3[15X, Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, Aachen, Germany (1998). [[20XSWW00[15X] [16XSuleiman, I. A. I., Walsh, P. G. and Wilson, R. A.[15X, [17XConjugacy classes in sporadic simple groups[15X, [18XComm. Algebra[15X, [19X28[15X, 7 (2000), 3209â3222. [[20XWil96[15X] [16XWilson, R. A.[15X, [17XStandard generators for sporadic simple groups[15X, [18XJ. Algebra[15X, [19X184[15X, 2 (1996), 505â515. [[20XATLAS[15X] [16XWilson, R. A.[15X, [17XATLAS of Finite Group Representations[15X, http://brauer.maths.qmul.ac.uk/Atlas/. -------------------------------------------------------