Hint: Count subgroups of order 3.Can anyone please help with the following problem:
Show that and X are not isomorphic.
Be grateful for help.
I note in passing that both groups have order 12 so in that sense they potentially could be isomorphic. Further, they are both non-abelian so we cannot construct an argument that one is abelian and the other is not.
For those who need an update or re-acquainting with I have attached the relevant pages of Gallian: Contemporary Abstract Algebra
For those who need an update or re-acquainting with I have attached the relevant pages of Fraleigh: A First Course in Abstract Algebra