In addition to the 5 possible tetragonal sub-space groups of V3Si-type ( beta W, or O-h(3)-Pm3n) crystals previously analysed. 3 more must be examined. These were inadvertantly overlooked previously [1]. Two of the three added cases can be eliminated using the general theory. Possible tetragonal modifications are then C-4v(7)- P4mc; D-2d(5) - P (4) over bar m2; C-4h(2) - P4(2)/m, all we compatible with second order phase transitions, the last named is the additional case.