Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13131529 | C2 | semidirect |
| 2. #13130741 | C2 | semidirect |
| 5. #13129736 | C2 | semidirect |
| 6. #13129718 | C2 | semidirect |
| 19. C13×#428 | C4 | semidirect |
| 20. #11718792 | C4 | semidirect |
| 22. #11718662 | C4 | semidirect |
| 23. #11718625 | C4 | semidirect |
| 204. #428 | #261 | semidirect |
| 360. C13 | #9348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131529 | 2 |
| #13130741 | 2 |
| #13130273 | 2 |
| #13130113 | 2 |
| #13129736 | 2 |
| #13129718 | 2 |
| #13124778 | 2 |
| #9348 | 13 |