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

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#g2
5
-1 1 1 0 0 
0 0 0 1 0 
0 1 1 -1 0 
0 1 0 0 0 
0 0 0 0 1 
5
0 -1 0 1 0 
0 0 1 0 0 
0 -1 0 0 0 
-1 0 1 0 0 
0 0 0 0 -1 
2^4   = 16 % order of the group