GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
# S1 with C2-iso and four V4-points # 1 # 2 3 # 4 5 # 6 7 # 8 M := [ [1,2], [1,3], [2,4], [3,5], [4,6], [5,7], [6,8], [7,8] ]; C2 := Group( (1,2) ); V4 := Group( (1,2), (3,4) ); iso := rec( 1 := V4, 2 := C2, 3 := C2, 4 := V4, 5 := V4, 6 := C2, 7 := C2, 8 := V4 ); mu := []; dim := 3;