64 elements

60 elements.A5

44 elements.D22

22!/2 elements.A22

32!/2 elements.A32

32! elementsS32

22! elements.S22

60 elements.Z60

60! elements.S60

60!/2 elements.A60.

The only ones that have a chance of being isomorphic are A5 and Z60. But A5 is non-abelian and Z60 is. So there is no isomorphism here.