How do i prove that any subgroup of $A_5$ has order at most 12?
3439
Other proofs that subgroups of $A_5$ have order at most 12
129937
How to prove that $A_5$ has no subgroup of order 30?
80381
Groups with "few" subgroups
131306
Prove that a group of order $2^5 \cdot 7^5$ is not simple
18881
Number of elements of order $7$ in a group
15526
Question on groups of order $pq$
124224
How many groups of order $n$ with center {e} exist?
104080
Group with order $pq$ has subgroups of order $p$ and $q$
132280
Let $G$ be a group of order 35. Show that $G \cong Z_{35}$
128834
Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$
96123
Element of maximal order in alternating group $A_{10}$: how to prove this is it?
75590
How many normal subgroups does a non-abelian group $G$ of order $ 21$
51747
Showing that the intersection of all subgroups of order $n$ is normal
148904
Groups of order $p^3$
95378
Known bounds for the number of groups of a given order.
63798
How can you show there are only 2 nonabelian groups of order 8?
98542
Prove that $H$ is a subgroup of an abelian group $G$