New posts in Symmetric Groups

Elements of the same order in the same conjugacy class that commute are contained in the same cyclic subgroup

Are there any finite examples of metachirality?

Prove that there doesn't exist any normal subgroup $H$ such that $S_5/H $ is isomorphic to $S_4$

Permutation group product

Uniformly choose two derangements $\sigma_i,\sigma_j$. What is the distribution of $\sigma_i\circ \sigma_j$?

Solving a "twisty puzzle" on $S_{20}$

Subgroup of $S_n$ generated by $(1,2,\cdots,n)$ and $(1,2,\cdots,m)$.

Does $A_{17}$ have a subgroup of index $3$?

Find the derived subgroup of $A_4$

Is there a way to describe all finite groups $G$ such that $\operatorname{Aut}(G) \cong S_3$?