Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1190 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1190 conjugacy classes of subgroups — too many to draw. Only its 271 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. #13123319 | C2 | semidirect |
| 3. #13116489 | C2 | semidirect |
| 4. #13116475 | C2 | semidirect |
| 5. C13×#2884 | C2 | semidirect |
| 7. C22×Q8×D13 | C4 | semidirect |
| 11. #11719533 | C4 | semidirect |
| 13. #11719530 | C4 | semidirect |
| 18. #11719517 | C4 | semidirect |
| 123. #2884 | D13 | semidirect |
| 300. C13 | #33349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128484 | 2 |
| #13123319 | 2 |
| #13116489 | 2 |
| #13116475 | 2 |
| C13×#2884 | 2 |
| #33349 | 13 |