The classification of SU(2)2 biquotients of rank 3 Lie groups

We classify all compact simply connected biquotients of the form G⫽SU(2)2 for G=SU(4),SO(7),Spin(7), or G=G2×SU(2). In particular, we show there are precisely 2 inhomogeneous reduced biquotients in the first and last case, and 10 in the middle cases.