why there is no non cyclic group other than $D_{61}$.

Asked Oct 10 '18 at 15:57

Active Oct 10 '18 at 16:00

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I know that there are two non isomorphic groups of order $122$. One is cyclic group of order $122 $ and another is $D_{61}$. I know that all cyclic groups are isomorphic. But I can not understand why there is no non cyclic group other than $D_{61}$.

Can anyone please make me understand?

edited Oct 10 '18 at 16:00

asked Oct 10 '18 at 15:57

cmi

3,371

Look here https://math.stackexchange.com/questions/291349/looking-for-a-simple-proof-that-groups-of-order-2p-are-up-to-isomorphism-mat – Kolja Oct 10 '18 at 16:00

why there is no non cyclic group other than $D_{61}$.

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