By John Horton Conway

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

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Rudvalis, and collaborators B. Fischer, D. 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.

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. A§ groups. He has greatly increased the usefulness of this A If D.. A§ by adding this and other information, and over the last few years has cheerfully shouldered the enormous task of gathering and transforming our untidy heaps of material into a form fit for ppblication.

3 Character Abstract Linear Orthogonal 9 23 :7 23 :7: 3 1a+8a N( 2A 3) point isotropic point 18 28 °18 9:6 1a+9abc N(3A) 14 36 °14 7:6 1a+8a+9abc N(7ABC) @ @ @ 504 p power pi part ind [6] 1A @ 8 A A 2A x, + X2 + 7 -1 x, + 7 -1 x. + 7 -1 Xs + 7 -1 x. + 8 X7 + 9 x. + 9 x. 3 .. e. 2 @ @ @ @ 12 6 5 5 6 11 11 A A A AA A A A A AA A A A A 2A 3A 5A B* 6A 11A B** fus ind A + o o 0 0 ** b11 -2 o 0 -1 10 2 o 0 -1 + 11 -1 + 12 o o b5 + 12 o o * ind 1 2 o 5 -1 x, o 5 -1 + 10 + x, -1 b11 2B 6 5 A BB A AB 4A 10A @ @ @ 566 AB AA AA BB AA AA B* 12A B* -1 -1 o 0 0 0 000 -1 ++ 0 2 0 0 -1 -1 ++ 0 0 0 0 r3 -r3 0 ++ -1 -1 -1 -1 * o ++ 2 o b5 * 0 0 b5 o ++ 2 o * b5 0 0 355 6 10 10 12 12 11 fus ind 22 4 8 20 20 20 24 24 24 24 ** 11 22 o 6 0 0 0-b11 x,.

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