It seems a little history is required as some reactions disagree with or are amused by  the observation that Jews were not allowed in  the SA(former name of the Brown Shirts  which later became the SS).

It all began in March 1933 when the SA seized Jews in Berlin, soon after Hitler's assumption of power., and sent them off to concentration camps. On March 13,  forcible closing of Jewish shops was imposed by the SA, with killings reported.

Eventually, even if you had only 1 Jewish grandparent, you were a "mischlinge of the second degree" and were deprived of all rights and eligible to be sent to a concentration camp.

On January 17 1939, members of the security service of the SS were not even allowed  to marry mischlinge of the second degree.  

Clearly, Jews were not allowed to join the SS and its forerunner, the SA (Brownshirts)