Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
362 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. #13126291 | C2 | semidirect |
| 2. #13116765 | C2 | semidirect |
| 3. #13116089 | C2 | semidirect |
| 4. #13112855 | C2 | semidirect |
| 5. #13112851 | C2 | semidirect |
| 6. #13112777 | C2 | semidirect |
| 275. C13 | #12166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126291 | 2 |
| #13116765 | 2 |
| #13116089 | 2 |
| #13112855 | 2 |
| #13112851 | 2 |
| #13112777 | 2 |
| C13×#2184 | 2 |
| #12166 | 13 |