Question on a subgroup of permutations

basically, in this article I've attached as a file, I can't make out the subgroup of permutations 1-8 they reference on the top of page 385. i've tried creating they permutations but I couldn't get them to make sense with the problem given in the article.

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  • @ Hbh: Please respond to Markgvanzalk concern below.

  • I have responded editing my initial response.

  • Thank you Hbh.

  • for k it would have to be = B B* C C* D D* A A*. but I got it to work I think I may have been just making a stupid mistake but thanks anyway.

The answer is accepted.