why there is no non cyclic group other than $D_{61}$.
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
84
For what $n$ is $U_n$ cyclic?
151029
The number of non normal subgroups of a group cannot be $1$?
86542
Group of positive rationals under multiplication not isomorphic to group of rationals
63798
How can you show there are only 2 nonabelian groups of order 8?
144258
How to show a group is cyclic?
155219
Prove or Disprove: If every nontrivial subgroup of a group $G$ is cyclic, then $G$ is cyclic.
74978
How the center of a non-cyclic free Group is trivial?
50762
If $S_n$ has cyclic subgroups of these orders or not?
32620
Is every group of order $21$ cyclic?
29003
Is the dihedral group $D_n$ nilpotent? solvable?
129830
A group with no proper non-trivial subgroups
63451
Is there some sort of classification of all minimal non-cyclic groups?
24970
Only two groups of order $10$: $C_{10}$ and $D_{10}$
10229
Cyclic group generated by empty set.
95764
Prove that the additive groups $\mathbb{Z}$ and $\mathbb{Q}$ are not isomorphic.
70298
Are quotients of chain groups $C_n(X)/C_n(A)$ still free?