A cyclic normal subgroup commutes with the commutator subgroup
14255
Commutator subgroup and cyclic normal subgroup
61373
A normal subgroup that is not a characteristic
122266
equivalent definition of normal subgroup
1558
Number of homomorphisms between two cyclic groups.
116786
normal subgroups of Alternating group
11731
Normal subgroups of $S_4$
57227
Maximal normal $\pi$-subgroups and torsion subgroups
7575
Show the commutator subgroup of $S_{n}$ is $A_{n}$ for $n \geq 5$
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
2174
Proving that HK is a subgroup when K is normal
58307
Commutator Subgroup and the Largest Abelian Quotient
116936
Commutator subgroup and subgroup generated by square.
36040
A Group Having a Cyclic Sylow 2-Subgroup Has a Normal Subgroup.
49527
Prove that $a$ commutes with each of its conjugates in $G$ iff $a$ belongs to an abelian normal subgroup of $G$.
39938
Subgroups of a cyclic group and their order.
9232
Group with proper subgroups infinite cyclic
91874
Existence of finite indexed normal subgroup for a given finite indexed subgroup.