Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13123850 | C2 | semidirect |
| 3. #13113427 | C2 | semidirect |
| 4. #13113343 | C2 | semidirect |
| 5. #13112729 | C2 | semidirect |
| 6. #13112708 | C2 | semidirect |
| 7. C13×#1759 | C2 | semidirect |
| 14. #11718688 | C4 | semidirect |
| 17. #11718681 | C4 | semidirect |
| 18. #11718676 | C4 | semidirect |
| 22. #11718668 | C4 | semidirect |
| 136. #1759 | D13 | semidirect |
| 335. C13 | #9161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124987 | 2 |
| #13123850 | 2 |
| #13113427 | 2 |
| #13113343 | 2 |
| #13112729 | 2 |
| #13112708 | 2 |
| C13×#1759 | 2 |
| #9161 | 13 |