ORDER BY Clause

I have a query: SELECT fruit, group_number, ordering_number FROM
fruit_groups ORDER BY group_number, order_number;

The results look like:
fruit | group_number | ordering_number
--------+------------------+-------------------
cherry | 1 | 1
orange | 1 | 2
apple | 2 | 1
pear | 2 | 2
banana | 3 | 1
kiwi | 3 | 2

I would like the results to look like:
fruit | group_number | ordering_number
--------+------------------+-------------------
apple | 2 | 1
orange | 2 | 2
banana | 3 | 1
kiwi | 3 | 2
cherry | 1 | 1
orange | 1 | 2

I want the group_number to be grouped together, then sorted by the
ordering_number, then listed in the output alphabetically by the fruit
name listed first in the group_number (as defined by the ordering_number).

Does anyone know how I might modify my statement to get this ordering?
Thanks,
Derrick