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## Homework Statement

Let X be a set with exact three elements. Then its power algebra P(x), is an Abelian group with symmetrical difference operator delta.

A subset H of P(x) is a subgroup if, for all A, B in H, A deltaB in H.

Find all possible subgroups of P(x).

## The Attempt at a Solution

I have no clue how to begin solving this problem. But I know that the power set of any set X becomes an Abelian group if we use the symmetric difference as operation. How can I show this?