Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 20. C13×#501 | C4 | semidirect |
| 21. #11718741 | C4 | semidirect |
| 22. #11718726 | C4 | semidirect |
| 28. #11718363 | C4 | semidirect |
| 189. #501 | #261 | semidirect |
| 339. C13 | #9440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131371 | 2 |
| #13130319 | 2 |
| #13130230 | 2 |
| #13130228 | 2 |
| #13129725 | 2 |
| #13125387 | 2 |
| #9440 | 13 |