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The phrase "a function of a group of" is correct and usable in written English.
It can be used when discussing the role or purpose that a specific group serves in a particular context or system.
Example: "The success of the project is a function of a group of dedicated team members working collaboratively."
Alternatives: "a result of a team of" or "an outcome of a collective of".
Exact(1)
"This is a function of a group of House Republicans who are philosophically opposed to doing anything like this bailout and are prepared to take the risk".
Similar(59)
"It's a function of a lot of serious spade work and a lot of education from groups like ours".
It's a function of the group consensus of humanity to create this thing.
b Enrollment percentages as a function of demographic groups.
Sure, hundreds of companies are functioning with a group of employees.
Average is just math, man, a function of the numbers of any specific group.
"It's a group of liberty-minded folks coming together and partaking in happy hour functions".
A group of helicopters.
A group of pensioners?
"Diabetes is a function of development.
A group of glamour.
More suggestions(2)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com