Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 442 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. #13113531 | C2 | semidirect |
| 3. #13113470 | C2 | semidirect |
| 4. #13113236 | C2 | semidirect |
| 5. #13112705 | C2 | semidirect |
| 6. #13112698 | C2 | semidirect |
| 7. C13×#2981 | C2 | semidirect |
| 113. #2981 | D13 | semidirect |
| 284. C13 | #9371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125831 | 2 |
| #13113531 | 2 |
| #13113470 | 2 |
| #13113236 | 2 |
| #13112705 | 2 |
| #13112698 | 2 |
| C13×#2981 | 2 |
| #9371 | 13 |