Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
480 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 480 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. #13115675 | C2 | semidirect |
| 3. #13113549 | C2 | semidirect |
| 4. #13113443 | C2 | semidirect |
| 5. #13112747 | C2 | semidirect |
| 6. #13112707 | C2 | semidirect |
| 7. C13×#2995 | C2 | semidirect |
| 135. #2995 | D13 | semidirect |
| 335. C13 | #9340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125851 | 2 |
| #13115675 | 2 |
| #13113549 | 2 |
| #13113443 | 2 |
| #13112747 | 2 |
| #13112707 | 2 |
| C13×#2995 | 2 |
| #9340 | 13 |