Show that A4 has no subgroup of order 6
14611
$A_4$ has no subgroup of order $6$?
78048
Group of order 24 with no element of order 6 is isomorphic to $S_4$
60858
An abelian group of order 6 has an element of order 6.
88344
Order of a group and subsequent subgroups
59138
Subgroups of $S_4$ isomorpic to $S_2$
80186
How to show that $K\leq S_4$ is a normal subgroup?
131885
Show that not all 5 cycles in $A_5$ are conjugate in $A_5$
125498
Check whether subgroup is normal in $ S_4$
74586
Prove that every group of order $4$ is abelian
89508
Existence of normal subgroups for a group of order $36$
120557
Group of invertible elements of a ring has never order $5$
99309
Groups of order $n^2$ that have no subgroup of order $n$
15210
Group of order 6 proof
61373
A normal subgroup that is not a characteristic
53409
Show group of order $4n + 2$ has a subgroup of index 2.
47239
For $p,q$ primes such that $q|p-1$, show there is only one non-abelian group of order $pq$, up to isomorphism
74218
Show that $S_n$ has no subgroup of index $t$ for $2 < t < n$