GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
# S1 of p3m1 # http://en.wikipedia.org/wiki/Wallpaper_group#Group_p3m1 M := [ [1,2], [1,3], [2,5], [3,7], [5,6], [6,7] ]; S3 := Group( (1,2,3), (1,2) ); iso := rec( 1 := S3, 5 := S3, 7 := S3, 2 := Group( (1,2) ), 3 := Group( (1,3) ), 6 := Group( (2,3) ) ); mu := []; dim := 3; #----------------------------------------------->>>> Z^(1 x 1) #----------------------------------------------->>>> Z^(1 x 1) #----------------------------------------------->>>> Z/< 2 >