Gapplet

Let G = S₅, the symmetric group on {1,...,5}, of size 120. If you indicate a subgroup H, by means of a sequence of generators, you can choose between computations of the centralizer of H in G, the normalizer of H in G, and the center of H.

Give a series of permutations separated by commas,   on at most 5 points, e.g., (1,2),(1,2,3,4,5)
centralizer	normalizer	center