GO:0047256:   lactosylceramide 1,3-N-acetyl-beta-D-glucosaminyltransferase activity
Catalysis of the reaction: cytolipin-H + UDP-N-acetyl-D-glucosamine = N-acetyl-D-glucosaminyl-1,3-beta-D-galactosyl-1,4-beta-D-glucosylceramide + UDP.