Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 135 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. #13125495 | C2 | semidirect |
| 2. #13117055 | C2 | semidirect |
| 3. #13117012 | C2 | semidirect |
| 4. #13116917 | C2 | semidirect |
| 6. #13116727 | C2 | semidirect |
| 7. #13116652 | C2 | semidirect |
| 22. #11718377 | C22 | semidirect |
| 24. #11718360 | C22 | semidirect |
| 26. #11718344 | C22 | semidirect |
| 29. #11718088 | C22 | semidirect |
| 30. #11718086 | C22 | semidirect |
| 31. #11718058 | C22 | semidirect |
| 32. #11718055 | C22 | semidirect |
| 276. C13 | #33693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125495 | 2 |
| #13117055 | 2 |
| #13117012 | 2 |
| #13116917 | 2 |
| #13116787 | 2 |
| #13116727 | 2 |
| #13116652 | 2 |
| C13×#2955 | 2 |
| #33693 | 13 |