Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
256 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13116881 | C2 | semidirect |
| 2. #13114441 | C2 | semidirect |
| 3. D8×#1055 | C2 | semidirect |
| 4. #13112905 | C2 | semidirect |
| 5. #13112886 | C2 | semidirect |
| 6. #13112882 | C2 | semidirect |
| 192. C13 | #12428 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116881 | 2 |
| #13114441 | 2 |
| D8×#1055 | 2 |
| #13112905 | 2 |
| #13112886 | 2 |
| #13112882 | 2 |
| C13×#2206 | 2 |
| #12428 | 13 |