Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 452 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 |
|---|---|---|
| 2. #13116510 | C2 | semidirect |
| 4. #13116489 | C2 | semidirect |
| 6. #13114636 | C2 | semidirect |
| 7. C13×#1812 | C2 | semidirect |
| 11. C22×#6095 | C4 | semidirect |
| 19. #11718792 | C4 | semidirect |
| 20. #11718781 | C4 | semidirect |
| 23. #11718767 | C4 | semidirect |
| 149. #1812 | D13 | semidirect |
| 355. C13 | #13229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124475 | 2 |
| #13116510 | 2 |
| #13116507 | 2 |
| #13116489 | 2 |
| #13116485 | 2 |
| #13114636 | 2 |
| C13×#1812 | 2 |
| #13229 | 13 |