Dear GAP-Forum,
Mario Pineda asked:
?can somebody tellme some references where I can find the imprimitive
groups of degree 18.
GAP contains lists of the transitive subgroups of S_n for degree up to 23.
(I computed these lists for my PhD thesis.). There are 983 groups of degree
18 (including the primitive ones). You can access them as:
TransitiveGroup(<deg>,<nr>);
there also is a selection function that can be used for example like:
AllTransitiveGroups(DegreeOperation,18,IsPrimitive,false,Size,[100..200]);
(Accessing the full list at once may take too much memory.)
I hope this is of help,
Alexander Hulpke