Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
368 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13117089 | C2 | semidirect |
| 3. #13116887 | C2 | semidirect |
| 5. #13112886 | C2 | semidirect |
| 6. #13112801 | C2 | semidirect |
| 104. D4×C13 | Q32 | semidirect |
| 232. C13 | #12322 | semidirect |
| 242. D4 | Dic104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic52 | 2 |
| #13117089 | 2 |
| #13116887 | 2 |
| #13114201 | 2 |
| #13112886 | 2 |
| #13112801 | 2 |
| C13×D4⋊C16 | 2 |
| #12322 | 13 |