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

561052 views
#g2
4
1 1 0 0 
0 -1 0 0 
0 1 1 1 
0 0 0 -1 
4
0 -1 -1 -1 
1 1 1 1 
-1 -1 0 0 
0 0 -1 0 
2^2  * 5^1   = 20 % order of the group