Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
394 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 77 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. #13116445 | C2 | semidirect |
| 3. #13114873 | C2 | semidirect |
| 4. #13112854 | C2 | semidirect |
| 5. #13112852 | C2 | semidirect |
| 6. #13112850 | C2 | semidirect |
| 7. C13×#1350 | C2 | semidirect |
| 117. #1350 | D13 | semidirect |
| 290. C13 | #11894 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124419 | 2 |
| #13116445 | 2 |
| #13114873 | 2 |
| #13112854 | 2 |
| #13112852 | 2 |
| #13112850 | 2 |
| C13×#1350 | 2 |
| #11894 | 13 |