Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13117003 | C2 | semidirect |
| 3. #13116998 | C2 | semidirect |
| 6. #13116885 | C2 | semidirect |
| 7. #13116884 | C2 | semidirect |
| 240. C13 | #33827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125488 | 2 |
| #13117003 | 2 |
| #13116998 | 2 |
| #13116944 | 2 |
| #13116925 | 2 |
| #13116885 | 2 |
| #13116884 | 2 |
| #13116596 | 2 |
| C13×#2219 | 2 |
| #33827 | 13 |