Thread: Isomorphic?

How do I show whether the pair of groups is isomorphic?

I know that the order of the two groups is 120, they are both non-commutative, they are both non-cyclic. But I believe they are not isomorphic since I can't really find a function that does the trick.

Please help, thanks!

K

The only element with that has a property that i.e. it commutes with everything, is , i.e. the identity element.*

Now is that true for , i.e. it has a trivial center? I think not. So they are non-isomorphic.





*)If you every learned the meaning of "center" we will say the center of is trivial for .