GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
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##
#W id175.z GAP library of id's Hans Ulrich Besche
##
ID_GROUP_TREE.next[175]:=
rec(
fp:= [ 1, 2 ],
next:= [ rec(
fp:= [ 4, 6, 9, 10, 13 ],
next:= [ rec(
desc:= [ 103006 ],
fp:= [ 2 ],
next:= [ rec(
fp:= [ 1069059323994216333339, 1073318523994126733339,
1073318523994216333339, 1077577723994216333339, 1081836923994216333339 ],
next:= [ 21, 20, 23, 22, 24 ] ) ],
pos:= [ 3, 4 ] ), rec(
fp:= [ 1 ],
next:= [ rec(
fp:= [ 1068207483994216533339, 1068207607898216533339,
1068207731802216533339, 1068207855706216533339 ],
next:= [ 27, 28, 29, 30 ] ) ],
pos:= [ 3, 6 ] ), rec(
fp:= [ 2, 4 ],
next:= [ rec(
fp:= [ 1065654318098152133339, 1068209838098152133339 ],
next:= [ 37, 38 ] ), rec(
fp:= [ 7326356557358098164933339, 7343925757358098164933339 ],
next:= [ 39, 40 ] ) ],
pos:= [ 4, 5 ] ), rec(
fp:= [ 2, 4 ],
next:= [ rec(
fp:= [ 1066506158098152133339, 1067357998098152133339 ],
next:= [ 43, 42 ] ), rec(
fp:= [ 7332212957358098164933339, 7338069357358098164933339 ],
next:= [ 45, 44 ] ) ],
pos:= [ 4, 5 ] ), rec(
desc:= [ 302004 ],
fp:= [ 2 ],
next:= [ rec(
fp:= [ 155003922126533339, 155127826126533339, 155251730126533339,
155375634126533339 ],
next:= [ 54, 52, 53, 51 ] ) ],
pos:= [ 2, 4, 5 ] ) ] ), rec(
fp:= [ 4, 6 ],
next:= [ rec(
desc:= [ 103006 ],
fp:= [ 1 ],
next:= [ rec(
fp:= [ 91053840953050004665231550303030399,
91053841282746324665231550303030399, 91054953018737364665231550303030399,
91054953348433684665231550303030399 ],
next:= [ 63, 64, 65, 66 ] ) ],
pos:= [ 3, 4 ] ), rec(
fp:= [ 1 ],
next:= [ rec(
fp:= [ 5747802265324602720189829991890303030399,
5747802265324602721234412391890303030399,
5747802266437327799145247591890303030399,
5747802266519751878100665191890303030399 ],
next:= [ 70, 72, 73, 71 ] ) ],
pos:= [ 3, 6 ] ) ] ) ] );