Research Article

Characterizing Finite Groups Using the Sum of the Orders of the Elements

Table 1

Comparing and various upper bounds.

(60)

2 3 3 4 321
3 13 17 36 840
4 67 154 576 3858
5 471 1974 14400 23352
6 3271 33788 518400 171377
7 31333 738267 25401600 1464527
8 299223 19933214 1625702400 14220361
9 3291487 648658213 131681894400 154263165
10 39020911 24944707890 13168189440000 1846343649