Any finite group is a subgroup of an orthogonal group
128516
Can we embed every finite group in some special orthogonal group or special linear group of some order , over $\mathbb R$?
123699
Schur multiplier as a subgroup in finite abelian groups.
42389
If $(G, \oplus)$ has order $2n$, prove that every proper subgroup of $(G, \oplus)$
152954
Extensions of finite cyclic groups
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
106660
Every subgroup of the integers has finite index
102912
Subgroups of finitely generated groups are not necessarily finitely generated
144988
Commutator Subgroup of Direct Product equals the Direct Product of the Commutator Subgroups
12912
Finite groups with exactly one maximal subgroup
91874
Existence of finite indexed normal subgroup for a given finite indexed subgroup.
3756
If $G$ is abelian, then the set of all $g \in G$ such that $g = g^{-1}$ is a subgroup of $G$
81354
The product of all the elements of a finite abelian group
70904
Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups
154878
Prove that $H$ is a normal subgroup in the finite group $G=\langle S\rangle $ iff $sHs^{-1}$ $\subseteq H$ for all $s\in S$.
124237
Group equals union of three subgroups
42449
Is there any efficient algorithm for finding subgroups of a given finite group?
151619
A finite abelian group containing a non-trivial subgroup which lies in every non-trivial subgroup is cyclic