This is a question in the mathematical software called GAP:
What is the command for displaying all the generators of a given group?
I have been searching around but yet not found anything helpful, so I am hoping I will get a quick response here.
I think you may have in mind
Remark: It may be useful to extend this post by some hints on using the GAP help system from the GAP command line. A single question mark returns all manual sections (for GAP and packages) with the title starting from the given word, for example:
So, looking at entries 4 and/or 14 one would be able to find
Double question mark returns all manual sections whose title contains the given word, for example:
This also demonstrates another feature that recently appeared in GAP: the output below contains both versions, solvable and soluble. What happens is that the search system uses the internal variable
P.S. By default, the GAP help system displays the text version of the documentation. Using the
See also this answer for some more details.
I did the group according to the presentation you noted above: