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