Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
530 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 98 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. #13131481 | C2 | semidirect |
| 2. #13130183 | C2 | semidirect |
| 3. #13130143 | C2 | semidirect |
| 4. #13130128 | C2 | semidirect |
| 5. #13129728 | C2 | semidirect |
| 6. #13129665 | C2 | semidirect |
| 374. C13 | #8995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131481 | 2 |
| #13130183 | 2 |
| #13130143 | 2 |
| #13130128 | 2 |
| #13129728 | 2 |
| #13129665 | 2 |
| #13124292 | 2 |
| #8995 | 13 |