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

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5
0

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prime 5 
class 2 
generators {a, b}
relations {a^25, [b, a, a], [b, a, b, b, b, b] = 1, b^5 };

2
Standard5gp
27

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