Kervaire, Milnor: Groups of homotopy spheres II.

In the introduction to part I, they write:

"More detailed information about these groups will be given in Part II.
For example, for $n = 1, 2, 3, \ldots, 18§, it will be shown that the order of
the group $\theta_n$ is respectively:" (a table follows). Similar remarks are scattered throughout the text.

The details have been written down by other people and it must be said that part I contains the much more complicated arguments.