subgroups with prime factors
73211
Cyclic subgroups dealing with prime numbers Question
131516
Subgroup generated by n-th powers of elements
153797
Is a quotient group a subgroup?
76943
Existence of subgroup of order six in $A_4$
38853
Cyclic group of prime order
151130
When is the product of $n$ subgroups a subgroup?
4402
Group of order $pqr$, $p < q < r$ primes
106277
Prove that $G$ contains a subgroup $H_i$ for each $i\in\Bbb Z$ with $\dots\subset H_{−2}\subset H_{−1}\subset H_0\subset H_1\subset\dots?$
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
99694
Number of subgroups of $S_4$
111049
Groups with given automorphism groups
13742
Proving that a normal, abelian subgroup of G is in the center of G if |G/N| and |Aut(N)| are relatively prime.
68955
Characterising subgroups of Prüfer $p$-groups.
97928
Normal subgroup of a normal subgroup
15630
Normal subgroup of prime order is characteristic
22248
$G$ solvable $\implies$ composition factors of $G$ are of prime order.
96614
Finite number of subgroups $\Rightarrow$  finite group