I could not verify the below paragraph in my textbook [Hungerford, p98].
Let , G is a group of order 12, and P is the normal (unique) sylow 3-subgroup. Hence G contains only two elements of order 3. If c is one of these, then or . Thus is a group of order 12 or 6. In either case there is of order 2 by Cauchy's theorem. Verify that |cd| = 6.
In my textbook, is such a group that has a normal sylow 3-subgroup.
What is the normal sylow 3-subgroup of the above ?