Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
448 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #13116530 | C2 | semidirect |
| 4. #13116489 | C2 | semidirect |
| 6. #13114886 | C2 | semidirect |
| 7. C13×#1757 | C2 | semidirect |
| 11. C22×#6095 | C4 | semidirect |
| 19. #11718792 | C4 | semidirect |
| 20. #11718781 | C4 | semidirect |
| 24. #11718767 | C4 | semidirect |
| 150. #1757 | D13 | semidirect |
| 353. C13 | #13232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124475 | 2 |
| #13116530 | 2 |
| #13116527 | 2 |
| #13116489 | 2 |
| #13116485 | 2 |
| #13114886 | 2 |
| C13×#1757 | 2 |
| #13232 | 13 |