Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 106 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. #13130492 | C2 | semidirect |
| 4. #13130046 | C2 | semidirect |
| 5. #13129729 | C2 | semidirect |
| 6. #13129723 | C2 | semidirect |
| 15. C13×#446 | C4 | semidirect |
| 16. Q8×#1055 | C4 | semidirect |
| 20. #11718495 | C4 | semidirect |
| 23. #11718349 | C4 | semidirect |
| 25. #11718299 | C4 | semidirect |
| 29. #11718242 | C4 | semidirect |
| 157. #446 | #261 | semidirect |
| 287. C13 | #8249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130492 | 2 |
| #13130288 | 2 |
| #13130209 | 2 |
| #13130046 | 2 |
| #13129729 | 2 |
| #13129723 | 2 |
| #13123810 | 2 |
| #8249 | 13 |