Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 3. #13130309 | C2 | semidirect |
| 4. #13130219 | C2 | semidirect |
| 5. #13129729 | C2 | semidirect |
| 6. #13129688 | C2 | semidirect |
| 20. C13×#461 | C4 | semidirect |
| 23. #11718744 | C4 | semidirect |
| 24. #11718668 | C4 | semidirect |
| 25. #11718507 | C4 | semidirect |
| 192. #461 | #261 | semidirect |
| 344. C13 | #9165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131694 | 2 |
| #13130606 | 2 |
| #13130309 | 2 |
| #13130219 | 2 |
| #13129729 | 2 |
| #13129688 | 2 |
| #13124934 | 2 |
| #9165 | 13 |