Representations of the members of the set of the first eight terms of that list.

As the above image is so dense here are the first seven terms, easier on the eye.

All members of the first five terms along along with disqualifying elements. To the left are the valid elements. In the middle adjacent to the valid ones are disqualified elements due to symmetry, rotation, reflection and/or inverse. To the right are disqualified elements due to cycles of less than the present term, in an arbitrary order. The program that draws the valid terms is very small, maybe 100-200 lines since cycle notation is very intuitive and made for a pen to follow. The program that draws these invalid terms is large, over 1000 lines as I can see no simple way to implement the desired result.

A text file permute1to9data.TXT containing raw data and information pertaining to the first nine terms.

Another text file permutationcycles.txt containing raw data and information pertaining to the first few terms, as I had worded it in the mid 80's but it still has useful information.

Simple program, as an Excel Visual Basic for Applications macro to create simple permutations and weed out symmetric terms. Here is just the text of the source code, you can put it into your own spreadsheet or even use regular VB or even QBasic, but there you will have to change the Debug.Print's to file writes.

Simple program in RMB, also known as Rocky Mountain Basic, to draw the terms. As you will probably not have access to RMB or HP Basic For Windows, a port of RMB, this is also only a text file of the source code .