Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
448 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123911 | C2 | semidirect |
| 3. #13113448 | C2 | semidirect |
| 4. #13113447 | C2 | semidirect |
| 5. #13112699 | C2 | semidirect |
| 6. #13112666 | C2 | semidirect |
| 7. C13×#1496 | C2 | semidirect |
| 118. #1496 | D13 | semidirect |
| 288. C13 | #9283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125765 | 2 |
| #13123911 | 2 |
| #13113448 | 2 |
| #13113447 | 2 |
| #13112699 | 2 |
| #13112666 | 2 |
| C13×#1496 | 2 |
| #9283 | 13 |