Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
468 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 468 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. #13116507 | C2 | semidirect |
| 3. #13116487 | C2 | semidirect |
| 4. #13114882 | C2 | semidirect |
| 5. C13×#1757 | C2 | semidirect |
| 8. C22×D104 | C4 | semidirect |
| 15. #11718792 | C4 | semidirect |
| 19. #11718767 | C4 | semidirect |
| 113. #1757 | D13 | semidirect |
| 275. C13 | #13231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124484 | 2 |
| #13116507 | 2 |
| #13116487 | 2 |
| #13114882 | 2 |
| C13×#1757 | 2 |
| #13231 | 13 |