Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
748 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 748 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13113564 | C2 | semidirect |
| 3. #13113556 | C2 | semidirect |
| 4. #13113471 | C2 | semidirect |
| 5. #13113347 | C2 | semidirect |
| 6. #13113343 | C2 | semidirect |
| 7. C13×#1963 | C2 | semidirect |
| 10. #11719435 | C4 | semidirect |
| 11. #11719423 | C4 | semidirect |
| 151. #1963 | D13 | semidirect |
| 370. C13 | #8493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129234 | 2 |
| #13113564 | 2 |
| #13113556 | 2 |
| #13113471 | 2 |
| #13113347 | 2 |
| #13113343 | 2 |
| C13×#1963 | 2 |
| #8493 | 13 |