“…The last column of the tables indicates the number of generators of a minimal generating set of R G , sorted degree-wise. 117 474 1,1,1,1,1,1,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,1 (1,2,3,4,5,6,7), (1,2) 198 0.04 1,1,1,1,1,1,1 56 > 7200 1,2,2,3,2,2,1,1,1,3,3,2,2,1,1,1 (1,2,3,4 1,1,1,1,1,1,1,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1 (1,2,3,4,5,6,7,8), (1,2) 24629 0.18 1,1,1,1,1,1,1,1 In total, there are 50 classes of transitive permutation groups on 8 variables, but for five of them, neither Singular nor Magma succeeded with the computation in the realm of our time and memory limits. Note that, according to [14], MuPAD can manage one of these five exceptions with the library PerMuVAR; with a memory limit of 500 Mb and a time limit of 2 days, it can compute 17 of the 50 examples.…”