Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
356 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13115609 | C2 | semidirect |
| 5. #13113126 | C2 | semidirect |
| 6. #13112677 | C2 | semidirect |
| 7. C13×#1303 | C2 | semidirect |
| 19. #11718078 | C4 | semidirect |
| 20. #11718078 | C4 | semidirect |
| 21. #11718077 | C4 | semidirect |
| 22. #11718077 | C4 | semidirect |
| 111. #1303 | D13 | semidirect |
| 274. C13 | #9592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115754 | 2 |
| #13115609 | 2 |
| #13113483 | 2 |
| #13113286 | 2 |
| #13113126 | 2 |
| #13112677 | 2 |
| C13×#1303 | 2 |
| #9592 | 13 |