Actually, there is something wrong that I didn't see. The table I gave is 24*24. This group has 24 elements. But after the line you suggested, the group generated is of much bigger order than 24. Not sure what happened there.
sage: G.order() 1152 I figured out the following, based on your suggestion : sage: b=[list(a) for a in A] sage: G=PermutationGroup([Permutation(b[i]) for i in range(24)]) sage: G.order() 24 I had built the multiplication table from 3 simple generators, in position 2, 3, 4 on the table (1 being the group's neutral element). Easy to check sage: G=PermutationGroup([Permutation(b[i]) for i in range(4)]) sage: G.order() 24 sage: H=G.cayley_graph() sage: H.relabel(perm=None) sage: H.show() sage: H.show3d() Note : I had trouble with the "+1" syntax, so I ironed it out by simply adding 1 to the original matrix. sage: A = matrix(QQ, 24, 24, [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,2,1,5,6,3,4,11,12,13,14,7,8,9,10,20,21,22,23,24,15,16,17,18,19,3,7,1,8,11,15,2,4,16,17,5,20,23,24,6,9,10,21,22,12,18,19,13,14,4,9,10,1,18,13,19,17,2,3,20,21,6,23,24,22,8,5,7,11,12,16,14,15,5,11,2,12,7,20,1,6,21,22,3,15,18,19,4,13,14,16,17,8,23,24,9,10,6,13,14,2,23,9,24,22,1,5,15,16,4,18,19,17,12,3,11,7,8,21,10,20,7,3,11,15,1,8,5,20,23,24,2,4,16,17,12,18,19,13,14,6,9,10,21,22,8,16,17,3,21,23,22,10,7,1,12,18,15,13,14,19,4,11,2,5,20,9,24,6,9,4,18,13,10,1,20,21,6,23,19,17,2,3,11,12,16,14,15,24,22,8,5,7,10,19,4,17,20,24,9,1,22,8,18,11,14,15,13,2,3,12,16,21,5,7,6,23,11,5,7,20,2,12,3,15,18,19,1,6,21,22,8,23,24,9,10,4,13,14,16,17,12,21,22,5,16,18,17,14,11,2,8,23,20,9,10,24,6,7,1,3,15,13,19,4,13,6,23,9,14,2,15,16,4,18,24,22,1,5,7,8,21,10,20,19,17,12,3,11,14,24,6,22,15,19,13,2,17,12,23,7,10,20,9,1,5,8,21,16,3,11,4,18,15,23,24,7,13,16,14,19,3,11,6,9,8,21,22,10,20,1,5,2,4,18,17,12,16,8,21,23,17,3,12,18,15,13,22,10,7,1,5,20,9,24,6,14,19,4,11,2,17,22,8,10,12,14,16,3,19,4,21,5,24,6,23,7,1,20,9,18,11,2,15,13,18,20,9,21,19,11,4,13,12,16,10,24,5,7,1,6,23,22,8,17,14,15,2,3,19,10,20,24,4,17,18,11,14,15,9,1,22,8,21,5,7,6,23,13,2,3,12,16,20,18,19,11,9,21,10,24,5,7,4,13,12,16,17,14,15,2,3,1,6,23,22,8,21,12,16,18,22,5,8,23,20,9,17,14,11,2,3,15,13,19,4,10,24,6,7,1,22,17,12,14,8,10,21,5,24,6,16,3,19,4,18,11,2,15,13,23,7,1,20,9,23,15,13,16,24,7,6,9,8,21,14,19,3,11,2,4,18,17,12,22,10,20,1,5,24,14,15,19,6,22,23,7,10,20,13,2,17,12,16,3,11,4,18,9,1,5,8,21]) Thks. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
