Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13123853 | C2 | semidirect |
| 3. #13114649 | C2 | semidirect |
| 4. #13113427 | C2 | semidirect |
| 5. #13113345 | C2 | semidirect |
| 6. #13112728 | C2 | semidirect |
| 7. C13×#1291 | C2 | semidirect |
| 16. #11718512 | C4 | semidirect |
| 17. #11718509 | C4 | semidirect |
| 18. #11718507 | C4 | semidirect |
| 19. #11718504 | C4 | semidirect |
| 140. #1291 | D13 | semidirect |
| 335. C13 | #9162 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124988 | 2 |
| #13123853 | 2 |
| #13114649 | 2 |
| #13113427 | 2 |
| #13113345 | 2 |
| #13112728 | 2 |
| C13×#1291 | 2 |
| #9162 | 13 |