Groups of order $n^2$ with no subgroup of order $n$
99309
Groups of order $n^2$ that have no subgroup of order $n$
46904
Let $G$ be a non-trivial group with no non-trivial proper subgroup. Prove that $G$ cannot be infinite group.
8066
Sort-of-simple non-Hopfian groups
51196
A group of order $p^2q^2$ is never simple
80381
Groups with "few" subgroups
89508
Existence of normal subgroups for a group of order $36$
15341
Non-abelian finite group in which more than half of the elements have order $2$
131204
A non-trivial normal subgroup N of a finite group G or order $p^n$ is such that $N\cap Z(G)\neq \{ 1\}$
39938
Subgroups of a cyclic group and their order.
133272
Number of normal subgroups of a non abelian group of order $21$... CSIR December $2013$
14611
$A_4$ has no subgroup of order $6$?
128692
Example of an infinite group where every element except identity has order 2
134455
Any group of order $15$ is abelian(without sylow theorem)
79055
Orders of a symmetric group
71035
Non abelian subgroup of a abelian group.
31687
Classification of groups of order 30
88718
A group is generated by two elements of order $2$ is infinite and non-abelian