A group of $1280$ individuals, consisting of teachers and students, is attending a conference. For every $15$ students, there is one teacher. How many teachers are in the group?

Let the number of teachers in the group be $x$.
According to the problem, for every $15$ students, there is $1$ teacher. Therefore, the number of students in the group is $15x$.

The total number of individuals in the group is $1280$. This gives us the equation:

$$\text{Teachers}+\text{Students}=1280$$

$$x+15x=1280$$

$$16x=1280$$

Solving for $x$:

$$x=\frac{1280}{16}$$

$$x=80$$

Thus, there are $80$ teachers in the group.