[sql] must appear in the GROUP BY clause or be used in an aggregate function

SELECT t1.cname, t1.wmname, t2.max
FROM makerar t1 JOIN (
    SELECT cname, MAX(avg) max
    FROM makerar
    GROUP BY cname ) t2
ON t1.cname = t2.cname AND t1.avg = t2.max;

Using rank() window function:

SELECT cname, wmname, avg
FROM (
    SELECT cname, wmname, avg, rank() 
    OVER (PARTITION BY cname ORDER BY avg DESC)
    FROM makerar) t
WHERE rank = 1;

Note

Either one will preserve multiple max values per group. If you want only single record per group even if there is more than one record with avg equal to max you should check @ypercube's answer.

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