Store your group_types as a hieararchical table (with nested sets or parent-child model):
Parent-child:
typeid parent name
1      0      Buyers
2      0      Sellers
3      0      Referee
4      1      Electrical
5      1      Mechanic
SELECT  *
FROM    mytable
WHERE   group IN
        (
        SELECT  typeid
        FROM    group_types
        START WITH
                typeid = 1
        CONNECT BY
                parent = PRIOR typeid
        )
will select all buyers in Oracle.
Nested sets:
typeid lower  upper  Name
1      1      2      Buyers
2      3      3      Sellers
3      4      4      Referee
4      1      1      Electrical
5      2      2      Mechanic
SELECT  *
FROM    group_types
JOIN    mytable
ON      group BETWEEN lower AND upper
WHERE   typeid = 1
will select all buyers in any database.
Nested sets is implementable anywhere and more performant, if you don't need hierarchical ordering or frequent updates on group_types.
Parent-child is implementable easily in Oracle and SQL Server and with a little effort in MySQL. It allow easy structure changing and hierarchical ordering.
See this article in my blog on how to implement it in MySQL: