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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 f3 %almost decomposable bravais-group
4x4
0 -1  0  0
1  0  0  0
0  0  0 -1
0  0  1  0

4x4
0  0  0  1
0  0  1  0
0  1  0  0
1  0  0  0

4x4
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1

4x4
0  0  0  1
0  0 -1  0
0 -1  0  0
1  0  0  0

4x4
0  0  1  0
0  0  0  1
1  0  0  0
0  1  0  0
2^3 = 8 % order of the group