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Question
Consider the group `ZZ_2(alpha)` and its proper subgroups.
Which of the following statements is correct:
A) `ZZ_2(alpha)` has exactly 7 proper subgroups in total,
all of which are of order 2 and isomorphic to `ZZ_2`.
B) `ZZ_2(alpha)`has 14 proper subgroups in total,
7 subgroups of order 2 isomorphic to `ZZ_2`, and 7
subgroups of order 4 isomorphic to `ZZ_2 times ZZ_2`.
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