11 groups of order 6748.
| SmallGroups | group |
|---|---|
| (6748, 1) | C4×C7×C241 #20269819 |
| (6748, 2) | Dic7×C241 #20269820 |
| (6748, 3) | C7×Dic241 #20269821 |
| (6748, 4) | Dic1687 #20269822 |
| (6748, 5) | C22×C7×C241 #20269823 |
| (6748, 6) | C7×#11757210 #20269824 |
| (6748, 7) | C7⋊#11757210 #20269825 |
| (6748, 8) | D7×D241 #20269826 |
| (6748, 9) | C2×D1687 #20269827 |
| (6748, 10) | C2×D7×C241 #20269828 |
| (6748, 11) | C2×C7×D241 #20269829 |