(001) and (00-1) belongs to the (001) family of tetragonal crystal. (100) (010)(-100) (00-1) doesnt belong to the (001) family of tetragonal crystal.but in cubic system all 6 i.e (001) (010) (100) (-100) (0-10) (00-1) belong to the same family this is because in simple cube a=b=c where a,b,c are edge length at x axis,,y axis,z axis respectively.but in tetragonal system 3 edge length are not same.in tetragonal system edge length at x axis and edge length at y axis are same but edge lenth at z axis ae not same with previous 2.so (001) and (00-1) belongs to (001) family where the direction is from origin to positive z axis and negetive z axis respectively.
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