A046056 Smallest order for which there are n nonisomorphic finite Abelian groups, or 0 if no such order exists.

1, 4, 8, 36, 16, 72, 32, 900, 216, 144, 64, 1800, 0, 288, 128, 44100, 0, 5400, 0, 480, 864, 256, 0, 88200, 1296, 0, 27000, 480, 0, 512, 0, 5336100, 1728, 0, 2592, 264600, 0, 0, 0, 176400, 0, 1024, 0, 2304, 3456, 0, 0, 10672200, 7776, 32400, 0