Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 88 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. C4×#88240 | C2 | semidirect |
| 2. #13130291 | C2 | semidirect |
| 3. #13130182 | C2 | semidirect |
| 4. #13130174 | C2 | semidirect |
| 5. #13129722 | C2 | semidirect |
| 6. #13129667 | C2 | semidirect |
| 350. C13 | #9211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88240 | 2 |
| #13130291 | 2 |
| #13130182 | 2 |
| #13130174 | 2 |
| #13129722 | 2 |
| #13129667 | 2 |
| #13124895 | 2 |
| #9211 | 13 |