Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 2. #13115758 | C2 | semidirect |
| 3. #13113554 | C2 | semidirect |
| 5. #13112706 | C2 | semidirect |
| 6. #13112693 | C2 | semidirect |
| 20. #11718726 | C4 | semidirect |
| 21. #11718716 | C4 | semidirect |
| 324. C13 | #9377 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126063 | 2 |
| #13115758 | 2 |
| #13113554 | 2 |
| #13113361 | 2 |
| #13112706 | 2 |
| #13112693 | 2 |
| C13×#2992 | 2 |
| #9377 | 13 |