You can do this using correlated subqueries, for example:
SELECT Company, Date, (SELECT COUNT(*) FROM MyTable AS T1 WHERE T1.Flag='Y' AND T1.Company=T2.Company AND T1.Date=T2.Date) AS Count_Y, (SELECT COUNT(*) FROM MyTable AS T1 WHERE T1.Flag='N' AND T1.Company=T2.Company AND T1.Date=T2.Date) AS Count_N FROM MyTable AS T2 GROUP BY Company, Date
You can also do this more succinctly, but perhaps with (perhaps) less readability using the SUM trick:
SELECT Company, Date, SUM(CASE WHEN Flag='Y' THEN 1 ELSE 0 END) AS Count_Y, SUM(CASE WHEN Flag='N' THEN 1 ELSE 0 END) AS Count_N, FROM MyTable GROUP BY Company, Date
In Oracle / PLSQL, the DECODE function can be used to replace CASE for even more concise ones:
SELECT Company, Date, SUM(DECODE(Flag,'Y',1,0)) AS Count_Y, SUM(DECODE(Flag,'N',1,0)) AS Count_N, FROM MyTable GROUP BY Company, Date
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