Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123825 | C2 | semidirect |
| 3. #13113448 | C2 | semidirect |
| 4. #13113397 | C2 | semidirect |
| 5. #13113375 | C2 | semidirect |
| 6. #13112718 | C2 | semidirect |
| 7. C13×#1302 | C2 | semidirect |
| 21. #11718375 | C4 | semidirect |
| 22. #11718374 | C4 | semidirect |
| 23. #11718373 | C4 | semidirect |
| 26. #11718363 | C4 | semidirect |
| 144. #1302 | 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 |
|---|---|
| #13125534 | 2 |
| #13123825 | 2 |
| #13113448 | 2 |
| #13113397 | 2 |
| #13113375 | 2 |
| #13112718 | 2 |
| C13×#1302 | 2 |
| #9432 | 13 |