Find a normal subgroup in $A_4$ and identify the quotient of $A_4$ by this normal subgroup
116786
normal subgroups of Alternating group
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite
99694
Number of subgroups of $S_4$
41688
An elementary problem in Group Theory: the unique noncyclic group of order 4
155669
$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$
16804
Prove whether or not a subgroup is normal in the dihedral group $D_4$
25404
Let $G$ be a group of order $2m$ where $m$ is odd. Prove that $G$ contains a normal subgroup of order $m$
13742
Proving that a normal, abelian subgroup of G is in the center of G if |G/N| and |Aut(N)| are relatively prime.
2304
What is the quotient of a cyclic group of order $n$ by a cyclic subgroup of order $m$?
142038
Finding the number of elements of order two in the symmetric group $S_4$
49257
How to show that Klein four-group is a normal subgroup of the alternating group $A_4$
61373
A normal subgroup that is not a characteristic
53409
Show group of order $4n + 2$ has a subgroup of index 2.
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
142413
Normal Subgroups of $SU(n)$
95534
If $|G|=p^nq$, then $G$ contains a unique normal subgroup of index $q$
140673
how to find the order of an element in a quotient group