This page shows possible placements of the solids with
squares on two opposite corners and the rest diamonds.
There are 22 possible placements of the solids for squares in upper right/lower left.
There are 21 possible placements of the solids for squares in upper left/lower right.
Five of them show up on both lists:
0,2,15
0,2,21
1,3,22
1,9,22
1,14,21
