The Sorting Hat put Hogwarts Students into categories with people they would fit with. Greek life does the same. Here's what would have happened if the characters from Harry Potter would have rushed in college, and three words in the sorority's mission statement that go along with the Greek choice.
Sororities:
Hermione Granger: Delta Delta Delta
Principle, energy, intelligence.
Ginny Weasley: Kappa Alpha Theta
Resource, goodness, ability.
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Luna Lovegood: Delta Gamma
Honesty, friendship, loyalty.
Cho Chang: Kappa Kappa Gamma
Friendship, allegiance, loyalty.
Fleur Delacour: Pi Beta Phi
Ability, honor, respect.
Molly Weasley: Chi Omega
Value, culture, family.
Minerva McGonagall: Alpha Chi Omega
Leadership, character, development.
Dolores Umbridge: Zeta Tau Alpha
Order, knowledge, pink.
Bellatrix Lestrange: Phi Mu
Love, nobility, duty.
Nymphadora Tonks: Alpha Delta Pi
Independence, standards, ethics.
Fraternities:
Harry Potter: Kappa Sigma
Friendship, commitment, growth.
Ron Weasley: Beta Theta Pi
Principle, development, trust.
Fred Weasley/George Weasley: Phi Gamma Delta
Excellence, service, family.
Neville Longbottom: Sigma Chi
Value, commitment, change.
Draco Malfoy: Lambda Chi Alpha
Scholarship, value, honor
Cedric Diggory: Alpha Tau Omega
Leadership, integrity, honor.
Rubeus Hagrid: Beta Upsilon Chi
Belief, value, honesty.
Severus Snape: Tau Kappa Epsilon
Education, profession, loyalty.
Remus Lupin: Phi Delta Theta
Value, learning, teaching.
Sirius Black: Sigma Alpha Epsilon
Experience, enjoyment, brotherhood.
Albus Dumbledore: Kappa Alpha Order
Tradition, knowledge, truth.