Is Conjugate of Subgroup Could be Proper of its Subgroup?
41085
Conjugate subgroup strictly contained in the initial subgroup?
102912
Subgroups of finitely generated groups are not necessarily finitely generated
13453
Bijection map from a set of subgroup to another set of subgroup under some condition.
13059
If a group is the union of two subgroups, is one subgroup the group itself?
133286
Conjugates of radicals
115849
Are the Groups having all subgroups of same order conjugate classified?
116737
An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd
57883
Example of a Subgroup That Is Not Normal
84397
$x$ conjugate to $y$ in a group $G$ is an equivalence relation on $G$
30793
Intuition behind normal subgroups
13523
Are normal subgroups transitive?
22301
If $G$ has no proper subgroup, then $G$ is cyclic of prime order
151559
Please help: How to show that Aut(G) is a subgroup of Sym(G)
49527
Prove that $a$ commutes with each of its conjugates in $G$ iff $a$ belongs to an abelian normal subgroup of $G$.
98739
If $H$ is a subgroup of $G$ and $K$ is a subgroup of $H$, then $$|G:K|=|G:H||H:K|$$
11043
A normal subgroup is the union of conjugacy classes.
36709
subgroup of direct product of two groups