Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1082 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1082 conjugacy classes of subgroups — too many to draw. Only its 179 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13126214 | C2 | semidirect |
| 2. #13125262 | C2 | semidirect |
| 3. #13113981 | C2 | semidirect |
| 4. #13113952 | C2 | semidirect |
| 5. #13113919 | C2 | semidirect |
| 6. #13113890 | C2 | semidirect |
| 7. #13113571 | C2 | semidirect |
| 8. #13113287 | C2 | semidirect |
| 9. C13×#3549 | C2 | semidirect |
| 20. #11719182 | C22 | semidirect |
| 21. #11718753 | C22 | semidirect |
| 22. #11718746 | C22 | semidirect |
| 29. #11718676 | C22 | semidirect |
| 30. #11718669 | C22 | semidirect |
| 31. #11718585 | C22 | semidirect |
| 32. C2×C4×#1055 | C22 | semidirect |
| 33. #11718138 | C22 | semidirect |
| 35. D4⋊#1055 | C22 | semidirect |
| 36. D4⋊#1055 | C22 | semidirect |
| 140. #3549 | D13 | semidirect |
| 344. C13 | #18686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126214 | 2 |
| #13125262 | 2 |
| #13113981 | 2 |
| #13113952 | 2 |
| #13113919 | 2 |
| #13113890 | 2 |
| #13113571 | 2 |
| #13113287 | 2 |
| C13×#3549 | 2 |
| #18686 | 13 |