After the early death of Louise , he remarried in 1549 with Antoinette of Burgundy ( 1529 -- 1588 ) , sister of Maximilian II of Burgundy , who was married to his sister Louise de Croÿ ( 1524 -- 1585 ) .
After the early death of Louise , he married Antoinette of Burgundy ( 1529 -- 1588 ) in 1549 . 
 Antoinette was the sister of Maximilian II of Burgundy , who was married to Charles ' sister , Louise de Croÿ ( 1524 -- 1585 ) .