Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 494 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. #13130967 | C2 | semidirect |
| 3. #13130346 | C2 | semidirect |
| 5. #13129690 | C2 | semidirect |
| 6. #13129661 | C2 | semidirect |
| 20. C13×#500 | C4 | semidirect |
| 21. #11718749 | C4 | semidirect |
| 22. #11718739 | C4 | semidirect |
| 25. #11718355 | C4 | semidirect |
| 182. #500 | #261 | semidirect |
| 322. C13 | #9291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131563 | 2 |
| #13130967 | 2 |
| #13130346 | 2 |
| #13130267 | 2 |
| #13129690 | 2 |
| #13129661 | 2 |
| #13125958 | 2 |
| #9291 | 13 |