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. #13113338 | C2 | semidirect |
| 4. C2×#11718043 | C2 | semidirect |
| 5. #13113195 | C2 | semidirect |
| 6. #13112724 | C2 | semidirect |
| 7. C13×#1280 | C2 | semidirect |
| 20. #11718396 | C4 | semidirect |
| 22. #11718393 | C4 | semidirect |
| 23. #11718392 | C4 | semidirect |
| 27. #11718383 | C4 | semidirect |
| 153. #1280 | 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 |
|---|---|
| #13125603 | 2 |
| #13123890 | 2 |
| #13113338 | 2 |
| C2×#11718043 | 2 |
| #13113195 | 2 |
| #13112724 | 2 |
| C13×#1280 | 2 |
| #9264 | 13 |