Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 508 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. #13131696 | C2 | semidirect |
| 2. #13130606 | C2 | semidirect |
| 3. #13130306 | C2 | semidirect |
| 4. #13130216 | C2 | semidirect |
| 5. #13129729 | C2 | semidirect |
| 6. #13129688 | C2 | semidirect |
| 20. C13×#459 | C4 | semidirect |
| 23. #11718733 | C4 | semidirect |
| 24. #11718669 | C4 | semidirect |
| 25. #11718503 | C4 | semidirect |
| 199. #459 | #261 | semidirect |
| 356. C13 | #9163 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131696 | 2 |
| #13130606 | 2 |
| #13130306 | 2 |
| #13130216 | 2 |
| #13129729 | 2 |
| #13129688 | 2 |
| #13124926 | 2 |
| #9163 | 13 |