Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
504 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13123890 | C2 | semidirect |
| 3. #13113341 | C2 | semidirect |
| 4. C2×#11718129 | C2 | semidirect |
| 5. #13112723 | C2 | semidirect |
| 6. #13112678 | C2 | semidirect |
| 7. C13×#1471 | C2 | semidirect |
| 12. #11718879 | C4 | semidirect |
| 13. #11718878 | C4 | semidirect |
| 23. #11718631 | C4 | semidirect |
| 24. #11718629 | C4 | semidirect |
| 151. #1471 | D13 | semidirect |
| 391. C13 | #9264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125601 | 2 |
| #13123890 | 2 |
| #13113341 | 2 |
| C2×#11718129 | 2 |
| #13112723 | 2 |
| #13112678 | 2 |
| C13×#1471 | 2 |
| #9264 | 13 |