I wonder who set you this question, because it would seem impossible - indeed it can be shown that no subgroup of is isomorphic to

Note that , eight rotations and eight reflections, and that By Lagrange's theorem, if is a subgroup of then and it is very clear that isomorphic groups have the same number of elements. But is not divisible by , so no subgroup of is isomorphic to

Maybe it was a trick question!