Find all permutations of $S_4$ that commutes with (123)
99631
Prove/Disprove: Find $a\in S_4$ that is not a power of $b$ such that $ab=ba$ while $b=(123)$
155372
Find the number of permutations in $S_n$ containing fixed elements in one cycle
143293
Does every non-trivial subgroup of $S_9$ containing an odd permutation necessarily contain a transposition?
50936
How to solve permutation group equations?(discrete mathematics,group theory)
114752
Number of permutations of a specific cycle decomposition
56135
Find all permutations with a condition
99999
A question on identifying normal subgroups of $S_4$
28181
Sylow subgroups of $S_3$ and $S_4$
153306
Number of sigma algebras for set with 4 elements
146990
How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$
103106
Proving that any permutation in $S_n$ can be written as a product of disjoint cycles
83837
Odd/Even Permutations
35472
Transitive subgroup of symmetric group $S_n$ containing an $(n-1)$-cycle and a transposition
6204
How many permutations of $\{1, \ldots, n\}$ exist such that none of them contain $(i, i+1)$ (as a sequence) for $i \in {1,...,(n-1)}$?
130455
If $H,K⊲G$ and $H∩K = \{1_G\}$, then all elements in $H$ commute with all elements in $K$
39724
Combinatorial Identities
25744
Multiplication in Permutation Groups Written in Cyclic Notation