Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 490 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. #13115810 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112666 | C2 | semidirect |
| 7. C13×#1549 | C2 | semidirect |
| 15. #11718746 | C4 | semidirect |
| 17. #11718742 | C4 | semidirect |
| 110. C2×#1055 | SD16 | semidirect |
| 116. #1549 | D13 | semidirect |
| 286. C13 | #9289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125761 | 2 |
| #13123553 | 2 |
| #13115810 | 2 |
| #13113397 | 2 |
| #13112696 | 2 |
| #13112666 | 2 |
| C13×#1549 | 2 |
| #9289 | 13 |