Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13125481 | C2 | semidirect |
| 2. #13123739 | C2 | semidirect |
| 3. #13117051 | C2 | semidirect |
| 4. #13117048 | C2 | semidirect |
| 5. #13117010 | C2 | semidirect |
| 6. #13116910 | C2 | semidirect |
| 7. #13116782 | C2 | semidirect |
| 8. #13116735 | C2 | semidirect |
| 9. #13116731 | C2 | semidirect |
| 10. #13116649 | C2 | semidirect |
| 11. C13×#2190 | C2 | semidirect |
| 23. #11718813 | C22 | semidirect |
| 24. #11718812 | C22 | semidirect |
| 29. #11718530 | C22 | semidirect |
| 30. #11718519 | C22 | semidirect |
| 36. #11718155 | C22 | semidirect |
| 38. #11718108 | C22 | semidirect |
| 39. #11718105 | C22 | semidirect |
| 40. #11718104 | C22 | semidirect |
| 41. #11718103 | C22 | semidirect |
| 42. #11718079 | C22 | semidirect |
| 155. #2190 | D13 | semidirect |
| 356. C13 | #33692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125481 | 2 |
| #13123739 | 2 |
| #13117051 | 2 |
| #13117048 | 2 |
| #13117010 | 2 |
| #13116910 | 2 |
| #13116782 | 2 |
| #13116735 | 2 |
| #13116731 | 2 |
| #13116649 | 2 |
| C13×#2190 | 2 |
| #33692 | 13 |