Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
426 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 2. #13130950 | C2 | semidirect |
| 3. #13130404 | C2 | semidirect |
| 5. #13129667 | C2 | semidirect |
| 6. #13129665 | C2 | semidirect |
| 285. C13 | #8932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131579 | 2 |
| #13130950 | 2 |
| #13130404 | 2 |
| #13130182 | 2 |
| #13129667 | 2 |
| #13129665 | 2 |
| #13113482 | 2 |
| #8932 | 13 |