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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  5
class  2
generators  {a, b}
relations  {[a, b, b, b], [b, a, b, b, b], [a, b, a],  b^5}
;

2
Standard
10

7

1 0 0 1
0 1 0 0 

1 0 0 0
0 1 0 1

1 3 0 0 
0 1 0 0

1 3 0 0
0 4 0 0

1 2  0 0
0 3 0 0

4 0 0 0
0 1 0 0

3 0 0 0
0 1 0 0


1


0