Dentrall Thomas had 18 points and Amin Torres 12 for the Colonels (1-9).
Nicholls State scored eight unanswered points to cut the Nebraska lead to 58-54 on T.J. Carpenter's 3-pointer with 59 seconds left.
The Colonels used a 12-4 run to get within 53-42 on Lachlan Prest's 3-pointer with 6:17 left and made it a 10-point game on Fred Hunter's bank shot with 4:56 left that made the score 56-46.
Nicholls State made just three of its first 20 shots and finished the first half 5 of 23. The Colonels shot 59 percent in the second half.