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

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# S1 with C2-iso and a C4-point

M := [ [1,2], [1,3], [2,3] ];
C2 := Group( (1,3)(2,4) );
C4 := Group( (1,2,3,4) );
iso := rec( 1 := C4, 2 := C2, 3 := C2 );
mu := [];
dim := 4;