Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
962 conjugacy classes of subgroups.
The subgroup lattice has 508 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13113462 | C2 | semidirect |
| 4. #13113439 | C2 | semidirect |
| 5. #13113437 | C2 | semidirect |
| 38. #11718057 | C22 | semidirect |
| 429. C13 | #17667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88124 | 2 |
| #13123469 | 2 |
| #13113462 | 2 |
| #13113439 | 2 |
| #13113437 | 2 |
| C13×#2920 | 2 |
| #17667 | 13 |