Conjugacy class-cum-order statistics of a finite group

Definition
The conjugacy class-cum-order statistics of a finite group is a bunch of statistics that answers the question: how many conjugacy classes are there of a given size, and whose elements have a given order?

For a finite group $$G$$ with order $$n$$, let $$D$$ be the set of divisors of $$n$$. The conjugacy class-cum-order statistics is a function $$f:D \times D \to \mathbb{N}_0$$, with $$f(d_1,d_2)$$ equals the number of conjugacy classes of $$G$$ with size $$d_1$$ and whose elements have order $$d_2$$.

Note that since order of element divides order of group and size of conjugacy class divides order of group, it is valid to restrict both inputs to $$f$$ to divisors of $$n$$.

Weaker statistics

 * Conjugacy class size statistics of a finite group
 * Order statistics of a finite group