ATLAS of Finite Group Representations Version 1 This ATLAS of Group Representations has been prepared by Robert Wilson, Peter Walsh, Jonathan Tripp, Ibrahim Suleiman, Stephen Rogers, Richard Parker, Simon Norton, Steve Linton and John Bray (in reverse alphabetical order, because I'm fed up with always being last!). Version 1 This website has been under continuous development for several years ...

Groups of small order Compiled by John Pedersen, Dept of Mathematics, University of South Florida, jfp@math.usf.edu Order 1 and all prime orders (1 group: 1 abelian, 0 nonabelian) All groups of prime order p are isomorphic to C_p, the cyclic group of order p. A concrete realization of this group is Z_p, the integers under addition modulo p. Order 4 (2 groups: 2 abelian, 0 nonabelian) C_4, the ...

Collapsed Adjacency Matrices, Character Tables and Ramanujan Graphs This is a database of character tables of endomorphism rings. Let G be a finite group, K a field and M a finite set on which G acts transitively. For a in M let M1={a}, M2, ..., Mr be the distinct orbits of Ga, which have respective representatives a1=a, a2, ..., ar. Let Ei be an orbital for G as a subset of MxM. For 1 &lt= i &lt= r ...