Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 436 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. #13113446 | C2 | semidirect |
| 3. #13113397 | C2 | semidirect |
| 4. #13113374 | C2 | semidirect |
| 5. #13112736 | C2 | semidirect |
| 6. #13112718 | C2 | semidirect |
| 7. C13×#2968 | C2 | semidirect |
| 18. #11718728 | C4 | semidirect |
| 19. #11718726 | C4 | semidirect |
| 20. #11718719 | C4 | semidirect |
| 21. #11718716 | C4 | semidirect |
| 140. #2968 | D13 | semidirect |
| 346. C13 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125535 | 2 |
| #13113446 | 2 |
| #13113397 | 2 |
| #13113374 | 2 |
| #13112736 | 2 |
| #13112718 | 2 |
| C13×#2968 | 2 |
| #9432 | 13 |