Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. #13113430 | C2 | semidirect |
| 5. #13113347 | C2 | semidirect |
| 6. #13112707 | C2 | semidirect |
| 7. C13×#1300 | C2 | semidirect |
| 17. #11718511 | C4 | semidirect |
| 18. #11718510 | C4 | semidirect |
| 19. #11718503 | C4 | semidirect |
| 20. #11718502 | C4 | semidirect |
| 138. #1300 | D13 | semidirect |
| 326. C13 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124999 | 2 |
| #13123854 | 2 |
| #13114647 | 2 |
| #13113430 | 2 |
| #13113347 | 2 |
| #13112707 | 2 |
| C13×#1300 | 2 |
| #9160 | 13 |