Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
240 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 66 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. #13130469 | C2 | semidirect |
| 2. D8×#1057 | C2 | semidirect |
| 3. #13129870 | C2 | semidirect |
| 4. #13129790 | C2 | semidirect |
| 5. #13129790 | C2 | semidirect |
| 6. #1057⋊C16 | C2 | semidirect |
| 59. C13×D8 | M16 | semidirect |
| 162. D8 | #6122 | semidirect |
| 180. C13 | #12073 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130469 | 2 |
| D8×#1057 | 2 |
| #13129870 | 2 |
| #13129790 | 2 |
| #1057⋊C16 | 2 |
| D16×Dic13 | 2 |
| #12073 | 13 |