What are the (potential) uses of those utility functions in the context GroupTheory`Tools`?

Question

This old answer briefly described the usages of

• GroupTheory`Tools`Multisets,
• GroupTheory`Tools`MultiSubsets,
• GroupTheory`Tools`PartitionRagged,
• GroupTheory`Tools`IntegerPartitionCounts, and
• GroupTheory`Tools`ConsecutiveReplace.

However,

In[1]:= ?? "GroupTheory`Tools`*"

Out[1]= GroupTheory`Tools`ConsecutiveReplace   GroupTheory`Tools`IntegerPartitionCounts   GroupTheory`Tools`PartitionRagged

        GroupTheory`Tools`GeneralizedTuples    GroupTheory`Tools`Multisets                GroupTheory`Tools`SublistPosition

        GroupTheory`Tools`IntegerDecompose     GroupTheory`Tools`MultiSubsets

So what do GroupTheory`Tools`GeneralizedTuples, GroupTheory`Tools`SublistPosition, and GroupTheory`Tools`IntegerDecompose do internally?
GroupTheory`Tools`IntegerDecompose appears to do the same thing as System`NumberDecompose except that it only works on explicit non-negative numbers.
GroupTheory`Tools`SublistPosition was mentioned in this old question, but in accordance with

In[2]:= GroupTheory`Tools`SublistPosition[]

GroupTheory`Tools`SublistPosition::argb: GroupTheory`Tools`SublistPosition called with 0 arguments; between 2 and 5 arguments are expected.

there are at least four forms (2 parameters, 3 parameters, 4 parameters, and 5 parameters) to call it in fact! (Any thorough interpretations?)
Last but not least, what is the correct syntax to invoke GroupTheory`Tools`GeneralizedTuples (which seems to differ from Python's tuple as well)???