Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. #13115808 | C2 | semidirect |
| 4. #13113518 | C2 | semidirect |
| 6. #13112666 | C2 | semidirect |
| 7. C13×#1286 | C2 | semidirect |
| 21. #11718355 | C4 | semidirect |
| 22. #11718341 | C4 | semidirect |
| 117. #1286 | D13 | semidirect |
| 284. C13 | #9287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125966 | 2 |
| #13123553 | 2 |
| #13115808 | 2 |
| #13113518 | 2 |
| #13113395 | 2 |
| #13112666 | 2 |
| C13×#1286 | 2 |
| #9287 | 13 |