If H⊴G and we arrange the rows and columns of the group table for G according to the left cosets of H and then color the corresponding cosets, what property will the table h...If H⊴G and we arrange the rows and columns of the group table for G according to the left cosets of H and then color the corresponding cosets, what property will the table have? If G is a group and H≤G, then NG(H) is a subgroup of G. These groups can be seen as the basic building blocks of all finite groups, in a way reminiscent of the way the prime numbers are the basic building blocks of the natural numbers.
