SELECT AA.com_id, COUNT(*) AS count_female
FROM COMPANY AA
LEFT JOIN CASES BB ON AA.com_id = BB.com_id
LEFT JOIN CASEMANAGER CC ON BB.case_id = CC.case_id
LEFT JOIN MANAGER DD ON CC.mang_id = DD.mang_id
AND DD.mang_sex = 'F'
GROUP BY AA.com_id
ORDER BY count_female DESC
LIMIT 1;