Tables of the upper α-pointsmα;k*,vof the studentized maximum modulus distribution with parameterk* andvdegrees of freedom are given for α = .01, .05, 10, and .20, twelve values 01V, andk* =k(k− 1)/2 fork= 3(1)20. The tables are of use in applying Hochberg's GT2-Method [6] of multiple comparison and extend the use of this method to cases withk≤ 20 means. As conjectured in [15]. the GT2-Method is in almost all cases the strongest of several competitors of Spodtvoll and Stoline'sT′-Method [11] for carrying out the set ofk* pairwise comparisons between the means ofkgroups with arbitrary sample sizes. The auxiliary tables of [15], in which theT′-Method and other procedures are compared, are extended here. These tables should aid the user in choosing between theT′ and GT2-Methods. The results of the comparisons continue to support the fact that theT-Method is preferred if the unbalance of the sample sizes is slight and thatTbecomes a stronger competitor as α increases.