Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13131336 | C2 | semidirect |
| 3. #13130299 | C2 | semidirect |
| 5. #13129697 | C2 | semidirect |
| 6. #13129686 | C2 | semidirect |
| 22. C13×#490 | C4 | semidirect |
| 23. #11718732 | C4 | semidirect |
| 24. #11718726 | C4 | semidirect |
| 30. #11718363 | C4 | semidirect |
| 204. #490 | #261 | semidirect |
| 364. C13 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131336 | 2 |
| #13131000 | 2 |
| #13130299 | 2 |
| #13130256 | 2 |
| #13129697 | 2 |
| #13129686 | 2 |
| #13126021 | 2 |
| #9382 | 13 |