Spin6 blocks Block Sizes in Compact Inner Class: PSO(5,1) PSO(3,3) Spin(6) 0 1 Spin*(6) 0 10 Spin(4,2) 3 21 Block Sizes in Split Inner Class: PSO(6) PSO*(6) PSO(4,2) Spin(5,1) 0 0 3 Spin(3,3) 1 10 15