Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 86 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. #13131020 | C2 | semidirect |
| 3. #13130350 | C2 | semidirect |
| 5. #13129690 | C2 | semidirect |
| 6. #13129661 | C2 | semidirect |
| 18. C13×#498 | C4 | semidirect |
| 19. #11718749 | C4 | semidirect |
| 20. #11718740 | C4 | semidirect |
| 23. #11718355 | C4 | semidirect |
| 173. #498 | #261 | semidirect |
| 308. C13 | #9287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131563 | 2 |
| #13131020 | 2 |
| #13130350 | 2 |
| #13130267 | 2 |
| #13129690 | 2 |
| #13129661 | 2 |
| #13125965 | 2 |
| #9287 | 13 |