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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 11 
class  3 
generators {a, b}
relations {a^11, b^11 = [b, a, a]^2, [b, a, b, b, b, b] = 1}
;

2
Standard
19

7

1 0 0 0 1 
0 1 0 0 0 

1 0 0 0 0 
0 1 0 1 0 

1 0 0 0 0 
0 1 0 0 1 

1 0 0 0 0 
3 1 0 0 0 

1 0 0 0 0 
9 3 0 0 0 

1 0 0 0 0 
6 6 0 0 0 

10 0 0 0 0 
2 1 0 0 0 

1

0