Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13112852 | C2 | semidirect |
| 5. #13112851 | C2 | semidirect |
| 6. #13112850 | C2 | semidirect |
| 7. C13×#1349 | C2 | semidirect |
| 22. C13×C22⋊C16 | C22 | semidirect |
| 23. C13×#341 | C22 | semidirect |
| 24. #11718144 | C22 | semidirect |
| 25. C22⋊#6090 | C22 | semidirect |
| 120. #1349 | D13 | semidirect |
| 179. C22⋊C16 | C2×D13 | semidirect |
| 181. #341 | C2×D13 | semidirect |
| 301. C13 | #11895 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#466 | 2 |
| #13116445 | 2 |
| #13114873 | 2 |
| #13112852 | 2 |
| #13112851 | 2 |
| #13112850 | 2 |
| C13×#1349 | 2 |
| #11895 | 13 |