Can I use Nhibernate QueryOver to group and count by a collection's count of an entity?

There are two classes in my project like below:

public class Teacher
 {
     public virtual long Id {get;set;}
     public virtual IList<Student> Students {get;set;}
 }
 
 
 public class Student
 {
     public virtual long Id {get;set;}
     public virtual string Name {get;set;}
 }
 

I need a query which get Students' count of each Teacher and group by with the count result. Also with the frequency of each count(eh... count of count number). I don't know how to do this using queryover. It's like if given data like this:

teacher1.Students = [student1,student2,student3] //teacher1's student count is 3
 teacher2.Students = [student4]
 teacher3.Students = [student5,student6,student7]
 teacher4.Students = [student8]
 teacher5.Students = [] //empty
 

I need query result like this:

[
 [0,1], //1 teacher has 0 students
 [1,2], 
 [3,2] //2 teachers have 3 students
 ]
 

Updated: the sql is like this:

select tc.tCount, count(tc.TRID)
 from (select tr.Id as TRID, count(std.Id) as tCount
 from Teacher tr
 JOIN Student std on std.TeacherId = tr.Id
 GROUP BY tr.Id ) as tc GROUP BY tc.tCount
 

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