Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13123854 | C2 | semidirect |
| 3. #13113268 | C2 | semidirect |
| 4. #13113188 | C2 | semidirect |
| 5. #13112746 | C2 | semidirect |
| 6. #13112726 | C2 | semidirect |
| 7. C13×#1527 | C2 | semidirect |
| 140. #1527 | D13 | semidirect |
| 344. C13 | #9350 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124326 | 2 |
| #13123854 | 2 |
| #13113268 | 2 |
| #13113188 | 2 |
| #13112746 | 2 |
| #13112726 | 2 |
| C13×#1527 | 2 |
| #9350 | 13 |