The table below gives data on the number of graphs of orders 4 to 11 that have minimum identifying codes of various sizes. The columns contain the order, the number of graphs for each order, and the number of graphs that have minimum identifying codes of sizes 3 and up.
| n | # of graphs | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 4 | 11 | 4 | 1 | |||||||
| 5 | 34 | 8 | 7 | 1 | ||||||
| 6 | 156 | 22 | 44 | 11 | 1 | |||||
| 7 | 1044 | 50 | 411 | 111 | 15 | 1 | ||||
| 8 | 12346 | 5843 | 1960 | 222 | 21 | 1 | ||||
| 9 | 274668 | 133282 | 66833 | 5378 | 393 | 27 | 1 | |||
| 10 | 12005168 | 5329868 | 4418919 | 252906 | 12494 | 659 | 35 | 1 | ||
| 11 | 1018997864 | 341248011 | 548314119 | 22586447 | 733029 | 26171 | 1055 | 43 | 1 |