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


2
Standard
9

3
1 0 0 1
0 1 0 0 

1 0 0 0
0 1 0 1

1 1 1 0
0 1 1 1


1 #soluble

0