Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 470 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. #13131632 | C2 | semidirect |
| 3. #13130220 | C2 | semidirect |
| 5. #13129671 | C2 | semidirect |
| 6. #13129668 | C2 | semidirect |
| 21. C13×#492 | C4 | semidirect |
| 24. #11718742 | C4 | semidirect |
| 25. #11718731 | C4 | semidirect |
| 27. #11718341 | C4 | semidirect |
| 105. #6118 | SD16 | semidirect |
| 180. #492 | #261 | semidirect |
| 323. C13 | #9054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131632 | 2 |
| #13131000 | 2 |
| #13130220 | 2 |
| #13130142 | 2 |
| #13129671 | 2 |
| #13129668 | 2 |
| #13125393 | 2 |
| #9054 | 13 |