Consider the Symmetric Group $S_4$
I have three permutations namely $(3,4), (1,2), (1,3)(2,4)$.
How to find the subgroup generated by these permutations ?
Is there any code to calculate in Sagemath the subgroup generated by the permutations given above?
As an example the code should work like this :
If I input $(12)$ the code should give ${(12),e}$
Can someone help please?