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. #13125579 | C2 | semidirect |
| 3. #13117054 | C2 | semidirect |
| 4. #13117008 | C2 | semidirect |
| 5. #13117007 | C2 | semidirect |
| 6. #13116914 | C2 | semidirect |
| 8. #13116730 | C2 | semidirect |
| 9. #13116728 | C2 | semidirect |
| 10. #13116647 | C2 | semidirect |
| 11. C13×#2214 | C2 | semidirect |
| 16. C13×#494 | C22 | semidirect |
| 22. #11718845 | C22 | semidirect |
| 32. #11718341 | C22 | semidirect |
| 33. C13×#364 | C22 | semidirect |
| 34. C13×#362 | C22 | semidirect |
| 36. #11718157 | C22 | semidirect |
| 39. #11718105 | C22 | semidirect |
| 40. #11718104 | C22 | semidirect |
| 41. #11718086 | C22 | semidirect |
| 42. #11718055 | C22 | semidirect |
| 162. #2214 | D13 | semidirect |
| 210. #494 | C2×D13 | semidirect |
| 228. #364 | C2×D13 | semidirect |
| 230. #362 | 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 |
|---|---|
| #13125579 | 2 |
| #13123741 | 2 |
| #13117054 | 2 |
| #13117008 | 2 |
| #13117007 | 2 |
| #13116914 | 2 |
| #13116785 | 2 |
| #13116730 | 2 |
| #13116728 | 2 |
| #13116647 | 2 |
| C13×#2214 | 2 |
| #33689 | 13 |