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Find subgroups of order 4 and 8 of Z4 x Z4
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- Let H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order of K is 3, what are all the possible orders of H?Exercises 19. Find cyclic subgroups of that have three different orders.27. Suppose is a normal subgroup of order of a group . Prove that is contained in , the center of .