The standard form of a Cayley table has the order of the elements in the rows the same as the order in the columns. Another form is to arrange the elements of the columns so that the "n"th column corresponds to the inverse of the element in the "n"th row. In our example of "D"3, we need only switch the last two columns, since "f" and "d" are the only elements that are not their own inverses, but instead inverses of each other.