Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
392 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 392 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. #13116638 | C2 | semidirect |
| 3. #13113596 | C2 | semidirect |
| 4. #13112880 | C2 | semidirect |
| 5. #13112879 | C2 | semidirect |
| 6. #13112878 | C2 | semidirect |
| 7. C13×#1360 | C2 | semidirect |
| 121. #1360 | D13 | semidirect |
| 289. C13 | #11960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125261 | 2 |
| #13116638 | 2 |
| #13113596 | 2 |
| #13112880 | 2 |
| #13112879 | 2 |
| #13112878 | 2 |
| C13×#1360 | 2 |
| #11960 | 13 |