# Group 40320.o downloaded from the LMFDB on 17 May 2024.
# If the group is solvable, G is the  polycyclic group  matching the one presented in LMFDB.# Generators will be stored as a, b, c,... to match LMFDB.  
# If the group is nonsolvable, G is a permutation group giving with generators as in LMFDB.#


d:=42; 
Sd:=SymmetricGroup(d); 
List_Gens:=[[9, 8, 1, 2, 12, 18, 11, 19, 5, 6, 13, 3, 20, 7, 15, 10, 4, 21, 17, 14, 16, 38, 40, 30, 22, 35, 23, 27, 26, 41, 25, 33, 29, 24, 32, 36, 34, 42, 28, 39, 37, 31], [37, 29, 41, 33, 39, 28, 24, 26, 30, 36, 40, 22, 38, 42, 31, 25, 35, 23, 32, 27, 34, 21, 8, 7, 17, 18, 20, 3, 2, 9, 10, 11, 13, 12, 16, 15, 14, 4, 5, 19, 6, 1]]; 
 
LGens:=[]; 
for gens in List_Gens do AddSet(LGens,PermList(gens)); od;
G:=Subgroup(Sd,LGens);