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# IsSimpleGroup does *not* imply IsAlmostSimpleGroup, as the latter only
# holds for certain extensions of *nonabelian* simple groups.
#
gap> RankFilter(IsSimpleGroup) < RankFilter(IsAlmostSimpleGroup and IsSimpleGroup);
true
gap> RankFilter(IsAlmostSimpleGroup) < RankFilter(IsAlmostSimpleGroup and IsSimpleGroup);
true
#
gap> G:=CyclicGroup(5);
<pc group of size 5 with 1 generator>
gap> IsAlmostSimpleGroup(G);
false
gap> IsSimpleGroup(G);
true
gap> IsAlmostSimpleGroup(G);
false
[ Dauer der Verarbeitung: 0.4 Sekunden
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