Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
576 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 1. #13124507 | C2 | semidirect |
| 2. #13117032 | C2 | semidirect |
| 3. #13117023 | C2 | semidirect |
| 4. #13116939 | C2 | semidirect |
| 5. #13116934 | C2 | semidirect |
| 6. #13116775 | C2 | semidirect |
| 7. #13116762 | C2 | semidirect |
| 8. #13116451 | C2 | semidirect |
| 9. C13×#2219 | C2 | semidirect |
| 118. #2219 | D13 | semidirect |
| 278. C13 | #33770 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124507 | 2 |
| #13117032 | 2 |
| #13117023 | 2 |
| #13116939 | 2 |
| #13116934 | 2 |
| #13116775 | 2 |
| #13116762 | 2 |
| #13116451 | 2 |
| C13×#2219 | 2 |
| #33770 | 13 |