Break a 9-digit pandigital into 3 groups of perfect squares.  Reminder: a 9-digit pandigital is an integer which uses each of the digits 1 to 9 inclusive once and once only.  Find all possible solutions.

Example solution: 257841369 is a 9-digit pandigital which can be broken up into the three groups 25, 784, 1369, equal to 5², 28², 37².