  We solve the Killing spinor equations of 6-dimensional (1,0) superconformal
theories which include hyper-multiplets in all cases. We show that the
solutions preserve 1,2,3,4 and 8 supersymmetries. We find models with self-dual
string solitons which are smooth and supported by instantons with an arbitrary
gauge group, and 3-brane solitons as expected from the M-brane intersection
rules.
