Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 1. D13⋊#504 | C2 | semidirect |
| 2. #13131157 | C2 | semidirect |
| 3. C2×#11718277 | C2 | semidirect |
| 4. #13130723 | C2 | semidirect |
| 5. #13129915 | C2 | semidirect |
| 6. #13129899 | C2 | semidirect |
| 21. C13×#472 | C4 | semidirect |
| 23. #11718821 | C4 | semidirect |
| 24. #11718804 | C4 | semidirect |
| 25. #11718557 | C4 | semidirect |
| 215. #472 | #261 | semidirect |
| 369. C13 | #13071 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#504 | 2 |
| #13131157 | 2 |
| C2×#11718277 | 2 |
| #13130723 | 2 |
| #13129915 | 2 |
| #13129899 | 2 |
| #13124554 | 2 |
| #13071 | 13 |