find the number of subgroups of a group G

Question

Let G be a simple group of order 168.What is the number of subgroups of G of order 7?

Answer 1

We can apply Sylow's theorem part 2 to the problem, i.e. number if subgroups is of the form 7k+1=m where m divides 168 and m not equal to 1 by virtue of the nature of group being simple. Thus, the answer is 8