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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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1
prime 3
class  1
generators  {x, y}
relations {(x * y * x)^3, [x, y, y]}
;

2
Class10
8

5        #number of automorphisms 
 
2 0
0 2

0 2
1 0

1 2
2 2 

1 0
2 1

2 0
0 1


1 #PAG-generating sequence?

0