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By John Horton Conway

This atlas covers teams from the households of the type of finite easy teams. lately up-to-date incorporating corrections

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Simon Norton constructed the tables for a large number of extensions, including some particularly complicated ones. He has throughout acted as 'troubleshooter'-any difficult problem was automatically referred to him in the confident expectation that it would speedily be solved. Richard Parker was responsible for the initial 'mechanization' of the A lr ILA§ project, and also did a great part of the more tedious job of entering pre-existing tables into the computer. He has also computed a large number of modular character tables, intended for a later A lr ILA§ publication.

Livingstone, M. (2), [the Monster], and finally the Aachen 'CAS' team led by J. Neubtiser and H. Pahlings both for many original tables and for improvements, extensions, and corrections to many others. Among our group-theoretical colleagues at Cambridge who have used the A lr ILA§ and contributed tables, corrections, improvements, or criticism are David Benson, Patrick Brooke, Mike Guy, David Jackson, Gordon James, Peter Kleidman, Martin Liebeck, Nick Patterson, Larissa Queen, Alex Ryba, Jan Saxl, Peter Smith, and finally John Thompson, who has acted as our friend and mentor throughout.

X" 10 @ duad ++ X2 x. 7. 2 Character Abstract Linear Orthogonal 14 13:6 13: 12 1a+13a N(13AB) point isotropic point 14 78 D14 D28 1a+12abc+13a+14aa N(7ABC). C(2B) O2(13). L1 (169) minus point 12 91 D12 D24 1a+12abc+13aa+14aa N(2A). N(3A) O (13). base 1a+7ab+12abc+13aa+14a N(2A 2 ) Order Index 78 12 @ 1092 P power p' part ind X, 1A @ @ @ 12 6 6 A A AA A A AA 2A 3A 6A @ @ @ @ @ @ 7 7 7 13 13 A A A A A A A A A A 7A B*2 C*4 13A B* fus ind @ 2 plus point base @ @ @ @ @ 14 6 6 6 777 A A AA AA BB CB AB A A AA AA AB BB CB 2B 4A 12A 8* 14A B*5 C*3 ++ + + 7 -1 -1 o 0 O-b13 X, + 7 -1 -1 o 0 0 X.

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