Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13130298 | C2 | semidirect |
| 4. #13130110 | C2 | semidirect |
| 5. #13129742 | C2 | semidirect |
| 6. #13129720 | C2 | semidirect |
| 312. C13 | #9351 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131677 | 2 |
| #13130298 | 2 |
| #13130169 | 2 |
| #13130110 | 2 |
| #13129742 | 2 |
| #13129720 | 2 |
| #13124657 | 2 |
| #9351 | 13 |