15 groups of order 1096.
| SmallGroups | group |
|---|---|
| (1096, 1) | C8×C137 #11764035 |
| (1096, 2) | C2×C4×C137 #11764036 |
| (1096, 3) | D4×C137 #11764037 |
| (1096, 4) | Q8×C137 #11764038 |
| (1096, 5) | C23×C137 #11764039 |
| (1096, 6) | #11764040 |
| (1096, 7) | C4×D137 #11764041 |
| (1096, 8) | C2×Dic137 #11764042 |
| (1096, 9) | C22⋊D137 #11764043 |
| (1096, 10) | D548 #11764044 |
| (1096, 11) | Dic274 #11764045 |
| (1096, 12) | C22×D137 #11764046 |
| (1096, 13) | #11764047 |
| (1096, 14) | C2×#10587739 #11764048 |
| (1096, 15) | #11764049 |