Proving $A_5$ Has No Subgroup of Order 30
129937
How to prove that $A_5$ has no subgroup of order 30?
108250
A group of order $595$ has a normal Sylow 17-subgroup.
45156
Every group of order $35$ is cyclic?
108309
An example of a non-abelian group of order $p^3$
50762
If $S_n$ has cyclic subgroups of these orders or not?
149294
How do i prove how $S_5$ is generated by a two cycle and a five cycle?
151029
The number of non normal subgroups of a group cannot be $1$?
89508
Existence of normal subgroups for a group of order $36$
75012
Additive group of rationals has no minimal generating set
31687
Classification of groups of order 30
22301
If $G$ has no proper subgroup, then $G$ is cyclic of prime order
123711
Cyclic group with exactly 3 subgroups: itself $\{e\}$ and one of order $7$. Isn't this impossible?
16259
How many non isomorphic groups of order 30 are there?
80849
There does not exist group $G$ such that Aut$(G)\cong \mathbb{Z}_n$ (for odd $n$)
126113
Prove the existence of order 4 subgroups of order 8 groups
132856
Find the derived subgroup of $A_4$
128834
Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$