SQL Query to move group in SEPM into another group

Ok, I totally understand that Symantec does not support the use of SQL queries to manage its interface, and it is a "use at your own risk".

If I want to move one group, into another group in the SEPM (SEP 12 RU2), what is the SQL query for this?

For example, to move a SEP client to a group in SEPM, I simply update the Group ID of the SEP client:

UPDATE SEM_CLIENT
SET SEM_CLIENT.GROUP_ID = '$Name_of_Group_You_Want_to_Move_SEP_Client_to'
WHERE SEM_CLIENT.COMPUTER_NAME = '$Computer_Name_of_SEP_Client'
AND SEM_CLIENT.COMPUTER_ID = '$Computer_ID_of_SEP_Client'

Can you tell me what query to run to move one group into another group. I'm trying this on the test system, of course