+1  A: 

The MySQL SELECT commannd is like this:

SELECT
    [ALL | DISTINCT | DISTINCTROW ]
      [HIGH_PRIORITY]
      [STRAIGHT_JOIN]
      [SQL_SMALL_RESULT] [SQL_BIG_RESULT] [SQL_BUFFER_RESULT]
      [SQL_CACHE | SQL_NO_CACHE] [SQL_CALC_FOUND_ROWS]
    select_expr [, select_expr ...]
    [FROM table_references
    [WHERE where_condition]
    [GROUP BY {col_name | expr | position}
      [ASC | DESC], ... [WITH ROLLUP]]
    [HAVING where_condition]
    [ORDER BY {col_name | expr | position}
      [ASC | DESC], ...]
    [LIMIT {[offset,] row_count | row_count OFFSET offset}]
    [PROCEDURE procedure_name(argument_list)]
    [INTO OUTFILE 'file_name' export_options
      | INTO DUMPFILE 'file_name'
      | INTO var_name [, var_name]]
    [FOR UPDATE | LOCK IN SHARE MODE]]

so YES, you can use GROUP BY and ORDER BY in the same query.
What you cannot use is ORDER BY in a sub-query. For example this:

SELECT 
       somethig
FROM 
       aTable 
JOIN 
       (SELECT myID FROM anotherTable ORDER BY myID) as bTable 
  ON aTable.ID=bTable.myID

It doesn't make any sense first to order the sub-query, then to make join.

Parkyprg
Thanks! Very concise, helpful answer - just what I was looking for :) So am I right in saying having a IN(... GROUP BY) ORDER BY ... DESC is fine?
JamWaffles
Yes, your query is correct.
Parkyprg