Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 6. C22×C13×Q16 | C4 | semidirect |
| 13. C13×#427 | C4 | semidirect |
| 14. C13×#419 | C4 | semidirect |
| 145. C22×Q16 | Dic13 | semidirect |
| 153. #427 | Dic13 | semidirect |
| 154. #419 | Dic13 | semidirect |
| 268. C13 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116511 | 2 |
| #13116490 | 2 |
| #13114882 | 2 |
| #13114636 | 2 |
| C13×#3059 | 2 |
| #13230 | 13 |