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

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#g1 f2 z2 n1 c2
  2x  2
  0 -1
  1  0

  2x  2
  1  0
  0  1

  2x  2
  0  1
 -1  0
2x2 % zentr
0 -1
1 0
2x2 % zentr
-1 0
0 -1
2x2 %normalizer
0 1
1 0
2x2 %cen
0 -1
1 0
2x2 %cen
-1 0
0 -1
2^2 = 4 %order of the group