Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13131520 | C2 | semidirect |
| 2. #13130291 | C2 | semidirect |
| 3. #13130182 | C2 | semidirect |
| 4. #13130172 | C2 | semidirect |
| 5. #13129722 | C2 | semidirect |
| 6. #13129667 | C2 | semidirect |
| 342. C13 | #9213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131520 | 2 |
| #13130291 | 2 |
| #13130182 | 2 |
| #13130172 | 2 |
| #13129722 | 2 |
| #13129667 | 2 |
| #13124893 | 2 |
| #9213 | 13 |