If I have a table and data like this:
ID | Name | Group
1 Apple A
2 Boy A
3 Cat B
4 Dog C
5 Elep C
...none of the other answers seem to do what the asker asked.
For table named 'things' with column 'group':
SELECT
things.*, counter.count
FROM
things
LEFT JOIN (
SELECT
things.group, count(things.group) as count
FROM
things
GROUP BY
things.group
) counter ON counter.group = things.group
ORDER BY
counter.count ASC;
which gives:
id | name | group | count
---------------------------
3 | Cat | B | 1
1 | Apple | A | 2
2 | Boy | A | 2
4 | Dog | C | 3
5 | Elep | C | 3
6 | Fish | C | 3