Find all subgroups of S and its subgroup graph.
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- 9. Determine which of the Sylow p-groups in each part Exercise 3 are normal. Exercise 3 3. a. Find all Sylow 3-subgroups of the alternating group . b. Find all Sylow 2-subgroups of .4. List all the elements of the subgroupin the group under addition, and state its order.Show that An has index 2 in Sn, and thereby conclude that An is always a normal subgroup of Sn.