Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
520 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13125582 | C2 | semidirect |
| 3. #13117057 | C2 | semidirect |
| 4. #13117004 | C2 | semidirect |
| 5. #13116918 | C2 | semidirect |
| 6. #13116917 | C2 | semidirect |
| 8. #13116726 | C2 | semidirect |
| 9. #13116724 | C2 | semidirect |
| 10. #13116647 | C2 | semidirect |
| 11. C13×#2230 | C2 | semidirect |
| 15. C13×#498 | C22 | semidirect |
| 27. #11718514 | C22 | semidirect |
| 31. #11718360 | C22 | semidirect |
| 33. C13×#365 | C22 | semidirect |
| 34. C13×#364 | C22 | semidirect |
| 36. #11718109 | C22 | semidirect |
| 38. #11718104 | C22 | semidirect |
| 39. #11718088 | C22 | semidirect |
| 41. #11718079 | C22 | semidirect |
| 42. #11718055 | C22 | semidirect |
| 160. #2230 | D13 | semidirect |
| 209. #498 | C2×D13 | semidirect |
| 226. #365 | C2×D13 | semidirect |
| 228. #364 | C2×D13 | semidirect |
| 367. C13 | #33689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125582 | 2 |
| #13123741 | 2 |
| #13117057 | 2 |
| #13117004 | 2 |
| #13116918 | 2 |
| #13116917 | 2 |
| #13116788 | 2 |
| #13116726 | 2 |
| #13116724 | 2 |
| #13116647 | 2 |
| C13×#2230 | 2 |
| #33689 | 13 |