Grouping by the results of a group by

Question

I want to group the results of a query that itself is a group by (I have simplified it).
select Id, MAX(type), MIN(type), COUNT(*)
from aa
group by Id
gives
1 03 01 2
2 03 01 2
3 01 01 1
4 03 01 2
5 03 01 3
and so on (there are over 100,000 rows in my actual results)
now I want to group by the Max, Min and Count columns to give (continuing the example):
Max, Min, Count, New Count
01 01 1 1
03 01 2 3
03 01 3 1
I could load the results of the first group by into a temporary table and then do a second (group by) query on the temporary table.
Has anyone got a better way?
Richard Body

Answer 1

SELECT max_type,
       min_type,
       count_id,
       COUNT(*)
FROM
  select Id, MAX(type) max_type,
             MIN(type) min_type,
             COUNT(*)  count_id
  from aa
  group by Id
GROUP BY max_type,
         min_type,
         count_id