if |G| = n . And G has 2(adsbygoogle = window.adsbygoogle || []).push({}); ^{n-1}subgroups, prove G = <e> or it is isomorphic to Z_{2}.

I am thinking I need to show that n is either 1 or 2. But I don't know how to use the number of subgroups. I can't find a theorem that mentions the number of subgroups or a group.

any Hints please?

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# Number of Subgroups of a Group

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