12 groups of order 6828.
| SmallGroups | group |
|---|---|
| (6828, 1) | C3×C4×C569 #20291987 |
| (6828, 2) | Dic3×C569 #20291988 |
| (6828, 3) | C3×Dic569 #20291989 |
| (6828, 4) | Dic1707 #20291990 |
| (6828, 5) | C22×C3×C569 #20291991 |
| (6828, 6) | C3×#14556189 #20291992 |
| (6828, 7) | C3⋊#14556189 #20291993 |
| (6828, 8) | D3×D569 #20291994 |
| (6828, 9) | A4×C569 #20291995 |
| (6828, 10) | C2×D1707 #20291996 |
| (6828, 11) | C2×D3×C569 #20291997 |
| (6828, 12) | C2×C3×D569 #20291998 |