Number of irreducible Brauer characters equals number of regular conjugacy classes

Statement
Suppose $$G$$ is a finite group and $$p$$ is a prime number. Then, the number of irreducible Brauer characters of $$G$$ for the prime $$p$$ equals the number of $$p$$-regular conjugacy classes. Here, a $$p$$-regular conjugacy class is a conjugacy class in which the orders of elements are relatively prime to $$p$$.

Related facts

 * Number of irreducible representations equals number of conjugacy classes

Particular groups
Note that for a group of prime power order with underlying prime $$p$$, the number of irreducible Brauer characters as well as the number of $$p$$-regular conjugacy classes are both equal to $$1$$. In the table below, we consider other cases.