Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
516 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 516 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. #13123962 | C2 | semidirect |
| 3. #13115663 | C2 | semidirect |
| 4. C4×#88065 | C2 | semidirect |
| 5. #13113254 | C2 | semidirect |
| 6. #13112668 | C2 | semidirect |
| 7. C13×#1299 | C2 | semidirect |
| 18. #11718511 | C4 | semidirect |
| 19. #11718509 | C4 | semidirect |
| 20. #11718504 | C4 | semidirect |
| 21. #11718503 | C4 | semidirect |
| 145. #1299 | D13 | semidirect |
| 177. D52 | #104 | semidirect |
| 355. C13 | #8969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124897 | 2 |
| #13123962 | 2 |
| #13115663 | 2 |
| C4×#88065 | 2 |
| #13113254 | 2 |
| #13112668 | 2 |
| C13×#1299 | 2 |
| #8969 | 13 |