Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
392 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13116455 | C2 | semidirect |
| 3. #13114885 | C2 | semidirect |
| 4. #13112828 | C2 | semidirect |
| 5. #13112827 | C2 | semidirect |
| 6. #13112826 | C2 | semidirect |
| 7. C13×#1341 | C2 | semidirect |
| 22. C13×#349 | C22 | semidirect |
| 23. C13×#338 | C22 | semidirect |
| 24. #11718152 | C22 | semidirect |
| 25. #11718145 | C22 | semidirect |
| 127. #1341 | D13 | semidirect |
| 184. #349 | C2×D13 | semidirect |
| 186. #338 | C2×D13 | semidirect |
| 308. C13 | #11870 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124482 | 2 |
| #13116455 | 2 |
| #13114885 | 2 |
| #13112828 | 2 |
| #13112827 | 2 |
| #13112826 | 2 |
| C13×#1341 | 2 |
| #11870 | 13 |