Additionally , another national fraternity already existed using the name Sigma Phi .
The faculty members were reluctant to recognize a sixth fraternity in a school with only 300 students , especially as more than half the members would be soon - to graduate seniors .
Another national fraternity already existed using the name Sigma Phi .
The faculty members were reluctant to recognize a sixth fraternity in a school with only 300 students , especially as more than half the members would be soon - to graduate seniors .