Normal subgroup in Dihedral group
22444
Normal subgroups of dihedral groups
113013
Let $M$ and $N$ be two normal subgroups of $G$. Show that $M \cap N$ is also normal in $G$. Then show that $G/(M \cap N) \cong (G/M) \times (G/N)$
78580
Is $SL_n(\mathbb{R})$ a normal subgroup in $GL_n(\mathbb{R})$?
72767
Center of the dihedral group with odd and even number of vertices
116786
normal subgroups of Alternating group
111375
Normality of subgroups and Sylow groups under homomorphisms...
19720
A normal subgroup intersects the center of the $p$-group nontrivially
22477
If H is a subgroup of a group G and K is a normal subgroup of G the show that K is a normal subgroup of HK.
83916
Center of dihedral group
29996
Prove that if a normal subgroup $H$ of $ G$ has index $n$, then $g^n \in H$ for all $g \in G$
97928
Normal subgroup of a normal subgroup
109236
Subgroups containing kernel of group morphism to an abelian group are normal.
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
130706
Group presentations and the Dihedral Group
37971
Prove that the center of a group is a normal subgroup
43651
Normal subgroups and factor groups
28108
Proving the kernel is a normal subgroup.