Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13115817 | C2 | semidirect |
| 4. #13113310 | C2 | semidirect |
| 5. #13112729 | C2 | semidirect |
| 6. #13112727 | C2 | semidirect |
| 12. #11718730 | C4 | semidirect |
| 13. #11718726 | C4 | semidirect |
| 14. #11718721 | C4 | semidirect |
| 15. #11718716 | C4 | semidirect |
| 336. C13 | #8998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125443 | 2 |
| #13124006 | 2 |
| #13115817 | 2 |
| #13113310 | 2 |
| #13112729 | 2 |
| #13112727 | 2 |
| C13×#1500 | 2 |
| #8998 | 13 |