 The schoolgirl problem consists in finding seven lines in the 5-space which do not intersect and such that any two lines always have a heptad in common.A partition of points into lines is called a ', and the partition of the spreads of a geometry is called a '.When Hirschfeld considered the problem in his "Finite Projective Spaces of Three Dimensions" (1985), he noted that some solutions correspond to packings of PG(3,2), essentially as described by Conwell above, and he presented two of them.