In 1999 Ian Gambini published 2 small SPSS of order 54 : 971A I_G 1999, 54 : 1113A I_G 1999
In 2014 Brian Trial found 6268 order 54 SPSSs.
In 2018 Bernard Moss found 983 order 54 SPSSs using his transforms, applied to Brian Trial's 2014 discoveries.
More recently in order 53 SPSSs Bernard Moss found hundreds of new SPSSs, including a number of quite small SPSSs, including the smallest known of this order 54 : 791 BLM.
There are 6908 known SPSSs of Order 54. Files provided as;