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

Path: gap4r8 / small / id4 / id45.z
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#############################################################################
##
#W  id45.z                 GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[45]:=
rec(
  fp:= [ 1 ],
  next:= [ rec(
    fp:= [ 4 ],
    next:= [ rec(
      fp:= [ 1 ],
      next:= [ rec(
        fp:= [ 4, 5 ],
        next:= [ 11, 10 ] ) ] ) ] ) ] );