Table of contents : Cover Atlas of Finite Groups Copyright Contents The Groups Introduction 1. A survey of the finite simple groups 2. The classical groups 3. The Chevalley and twisted Chevalley groups 4. How to read this ATLAS: the "constructions' sections 5. How to read this ATLAS: information about subgroups and their structure 6. How to read this ATLAS: The map of an ATLAS character table 7. How to read this ATLAS: character tables 8. Concluding remarks Addenda & Corrigenda The Groups A5≅L2(4)≅L2(5) L3(2)≅L2(7) A6≅L2(9)≅S4(2)' L2(8)≅R(3)' L2(11) L2(13) L2(17) A7 L2(19) L2(16) L3(3) U3(3)≅G2(2)' L2(23) L2(25) M11 L2(27) L2(29) L2(31) A8≅L4(2) L3(4) U4(2)≅S4(3) Sz(8) L2(32) U3(4) M12 U3(5) J1 A9 L3(5) M22 J2=HJ=F5- S4(4) S6(2) A10 L3(7) U4(3) G2(3) S4(5) U3(8) U3(7) L4(3) L5(2) M23 U5(2) L3(8) 2F4(2)' A11 L3(9) U3(9) HS J3 U3(11) O8+(2) O8-(2) 3D4(2) L3(11) A12 M24 G2(4) McL A13 He≅F7 O7(3) S6(3) G2(5) U6(2) R(27) S8(2)≅B4(2)≅O9(2) Ru Suz O'N Co3 O8+(3) O8-(3) O10+(2) O10-(2) Co2 Fi22 HN=F5+ F4(2) Ly Th=F3|3 Fi23 F2-=Co1 J4 2E6(2) E6(2) Fi24'=F3+ B=F2+ E7(2) M=F1 E8(2) Partitions and the classes and characters of Sn Involvement of sporadic groups in one another Order of simple groups Bibliography Index of groups