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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 2
class 1
generators {a, b}
relations {a^4 = [b, a, a, a, a, a],
             b * a^2 * b^-1 * a^-2 = [b, a, a, a, a, a], 
             b^2 = [b, a, a, a, a, a]}
;

2      #standardise
CLASS8 #file 
8      #class 

2      #nmr of auts 
0 1
1 1
0 1
1 0


1      #PAG-generating sequence

0