Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
562 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. #13125492 | C2 | semidirect |
| 3. #13117105 | C2 | semidirect |
| 4. #13117081 | C2 | semidirect |
| 5. #13117068 | C2 | semidirect |
| 6. #13116900 | C2 | semidirect |
| 7. #13116884 | C2 | semidirect |
| 9. #13116768 | C2 | semidirect |
| 10. #13116641 | C2 | semidirect |
| 11. C13×#2247 | C2 | semidirect |
| 143. #2247 | D13 | semidirect |
| 328. C13 | #33789 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125492 | 2 |
| #13125324 | 2 |
| #13117105 | 2 |
| #13117081 | 2 |
| #13117068 | 2 |
| #13116900 | 2 |
| #13116884 | 2 |
| #13116775 | 2 |
| #13116768 | 2 |
| #13116641 | 2 |
| C13×#2247 | 2 |
| #33789 | 13 |