Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
428 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131742 | C2 | semidirect |
| 2. #13130372 | C2 | semidirect |
| 5. #13129741 | C2 | semidirect |
| 6. #13129694 | C2 | semidirect |
| 337. C13 | #9530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131742 | 2 |
| #13130372 | 2 |
| #13130161 | 2 |
| #13130096 | 2 |
| #13129741 | 2 |
| #13129694 | 2 |
| #13124930 | 2 |
| #9530 | 13 |