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October 15th, 2010, 11:43 AM   #1
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Distinct Cyclic Subgroups

So I am to find all the distinct cyclic subgroups of A4.

So I know that the elements of A4 are: (1), (1,2,3), (1,3,2), (1,2,4), (1,4,3), (1,3,4), (1,4,2), (2,3,4), (2,4,3), (1,2)(3,4), (1,3)(2,4), (1,4)(2,3)

So I am having a hard time finding all the distinct cyclic subgroups. I know that an example of a cyclic subgroup would be <(1,2,3)>={(1),(1,2,3),(1,3,2)}
Any help would be appreciated.
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