Example of such groups
41085
Conjugate subgroup strictly contained in the initial subgroup?
122353
Status of the classification of non-finitely generated abelian groups.
73113
Groups and Symmetries
42774
Examples of involutions on $\mathbb{R}$
112165
Classification of groups of order 12
139218
Is this group solvable?
66464
Faithful group actions for singleton group or for empty set
15526
Question on groups of order $pq$
66877
Showing groups of order $p^{k}(p+1)$ are not simple, p prime
99309
Groups of order $n^2$ that have no subgroup of order $n$
34606
Which groups have precisely two automorphisms
58688
Example of a group where $o(a)$ and $o(b)$ are finite but $o(ab)$ is infinite
151047
a non trivial example: $G/H$ is isomorphic to $G$
31687
Classification of groups of order 30
129830
A group with no proper non-trivial subgroups
80367
Technical term for associating a group with the actions of a few
59902
Example of $2$ non-isomorphic groups that have the same quotients