Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13131721 | C2 | semidirect |
| 2. #13130326 | C2 | semidirect |
| 3. #13130257 | C2 | semidirect |
| 4. #13130256 | C2 | semidirect |
| 5. #13129703 | C2 | semidirect |
| 6. #13129696 | C2 | semidirect |
| 17. C13×#486 | C4 | semidirect |
| 18. #11718740 | C4 | semidirect |
| 19. #11718734 | C4 | semidirect |
| 22. #11718355 | C4 | semidirect |
| 155. #486 | #261 | semidirect |
| 274. C13 | #9417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131721 | 2 |
| #13130326 | 2 |
| #13130257 | 2 |
| #13130256 | 2 |
| #13129703 | 2 |
| #13129696 | 2 |
| #13125573 | 2 |
| #9417 | 13 |