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#W allCubeFree.gd Cubefree Heiko Dietrich
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#F CountAllCFGroupsUpTo( n[,bool] )
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## The input is a positive integer <n> and the output is a list $L$ of
## size <n> such that $L[i]$ contains the number of isomorphism types of
## groups of order $i$ if $i$ is cubefree and $L[i]$ is not bound, otherwise,
## $1\leq i \leq n$. The {\SmallGroups} library is used for squarefree
## orders, orders of the type $p^2$ and $p^2q$, and cubefree orders less than
## 50000. Only if <bool> is set to false, then only the squarefree orders
## and orders of the type $p^2$ and $p^2q$,are taken from the {\SmallGroups}
## library. This function was implemented only for experimental purposes and
## its implementation could be improved.
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DeclareGlobalFunction("CountAllCFGroupsUpTo");
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