The I Ching is a highly complex yet simple philosophical system which describes our world’s immanent change and declares change itself as the basic principle of the universe (cf. Govinda 1983). And the wisest thing for us to do is to subordinate to this change, these changes, to adapt to bring ourselves into harmony with the world around us.
So it is not at all about subjecting the world. We cannot. But what we can do is make changes where we can make them: in our own consciousness.
The hexagrams of the I Ching show us these possible developmental paths of our inner being. If one follows the interpretation model, the steps towards the solution can be discerned in the sequence of the individual trigrams and core characters.