  We show how by assuming at least 8 real timelike supersymmetries in the
maximally supersymmetric three-dimensional ungauged supergravity and a further
simplifying Ansatz, we are naturally led to a pair of Liouville field
equations. We also show that there are no solutions that preserve only 6 real
timelike supersymmetries. The solution relies on the classification of complex
spinors of Spin(8) to which the problem quickly reduces.
