Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 92 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. D13⋊#361 | C2 | semidirect |
| 3. C2×#11718276 | C2 | semidirect |
| 4. #13130725 | C2 | semidirect |
| 5. #13129912 | C2 | semidirect |
| 6. #13129895 | C2 | semidirect |
| 21. C13×#472 | C4 | semidirect |
| 23. #11718821 | C4 | semidirect |
| 24. #11718803 | C4 | semidirect |
| 25. #11718558 | C4 | semidirect |
| 220. #472 | #261 | semidirect |
| 380. C13 | #13073 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#504 | 2 |
| D13⋊#361 | 2 |
| C2×#11718276 | 2 |
| #13130725 | 2 |
| #13129912 | 2 |
| #13129895 | 2 |
| D13×#472 | 2 |
| #13073 | 13 |