Dear Forum,
As the title says, I am trying to study finite solvable groups with some nice 
(for me) properties that do not seem to be in the database. I don’t quite know 
which solvable group library, and or if there is another way.  “Not a direct 
product”, does seem to be in the libraries, and in addition if would like the 
Sylow 2 subgroup to be elementary abelian, and the group to have no subgroup of 
index 2. Does anyone have a suggestion for speeding up the search.

Thanks for your help.
 Vince Giambalvo 
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