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Error when computing automorphisms of simple orthogonal groups #4318

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@savask

Description

Observed behaviour

gap> G := PrimitiveGroup(119, 1);
O-(8, 2)
gap> S := SymmetricGroup(119);
Sym( [ 1 .. 119 ] )
gap> IsSubgroup(S, G);
true
gap> N := Normalizer(S, G);;
gap> StructureDescription(N);
"O-(8,2)"
gap> Index(N, G);
1
gap> T := TwoClosure(G);
<permutation group with 32 generators>
gap> StructureDescription(T);
"O-(8,2) : C2"
gap> Index(T, G);
2

Expected behaviour

G is a subgroup of index 2 in T, so T must lie in the normalizer N.

NormalizerPermGroup outputs a correct answer:

gap> N2 := NormalizerPermGroup(S, G);;
gap> Index(N2, G);
2

GAP banner

 ┌───────┐   GAP 4.10.0 of 01-Nov-2018
 │  GAP  │   https://www.gap-system.org
 └───────┘   Architecture: x86_64-pc-linux-gnu-default64
 Configuration:  gmp 6.1.2, readline
 Loading the library and packages ...
 Packages:   Alnuth 3.1.0, AtlasRep 1.5.1, AutPGrp 1.10, CTblLib 1.2.2, FactInt 1.6.2, GAPDoc 1.6.2, IO 4.5.4, Polycyclic 2.14, PrimGrp 3.4.0, 
             SmallGrp 1.3, TomLib 1.2.7, TransGrp 2.0.4
 Try '??help' for help. See also '?copyright', '?cite' and '?authors'

The same problem is present in the current dev version 4.12dev-731-gc7a0c6e.

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