Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 494 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. #13115657 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112666 | C2 | semidirect |
| 7. C13×#1546 | C2 | semidirect |
| 16. #11718749 | C4 | semidirect |
| 18. #11718739 | C4 | semidirect |
| 120. #1546 | D13 | semidirect |
| 297. C13 | #9291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125957 | 2 |
| #13123553 | 2 |
| #13115657 | 2 |
| #13113397 | 2 |
| #13112696 | 2 |
| #13112666 | 2 |
| C13×#1546 | 2 |
| #9291 | 13 |