Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
344 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13116637 | C2 | semidirect |
| 3. #13113581 | C2 | semidirect |
| 4. #13112804 | C2 | semidirect |
| 5. #13112803 | C2 | semidirect |
| 6. #13112802 | C2 | semidirect |
| 7. C13×#1333 | C2 | semidirect |
| 107. #1333 | D13 | semidirect |
| 258. C13 | #11652 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125412 | 2 |
| #13116637 | 2 |
| #13113581 | 2 |
| #13112804 | 2 |
| #13112803 | 2 |
| #13112802 | 2 |
| C13×#1333 | 2 |
| #11652 | 13 |