Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13131748 | C2 | semidirect |
| 2. #13130362 | C2 | semidirect |
| 5. #13129743 | C2 | semidirect |
| 6. #13129694 | C2 | semidirect |
| 331. C13 | #9334 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131748 | 2 |
| #13130362 | 2 |
| #13130317 | 2 |
| #13130107 | 2 |
| #13129743 | 2 |
| #13129694 | 2 |
| #13125838 | 2 |
| #9334 | 13 |