Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
426 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13131200 | C2 | semidirect |
| 2. #13130391 | C2 | semidirect |
| 3. #13129795 | C2 | semidirect |
| 4. #13129794 | C2 | semidirect |
| 19. #11718258 | C22 | semidirect |
| 21. #11718253 | C22 | semidirect |
| 75. C13×D8 | M16 | semidirect |
| 93. D104 | M16 | semidirect |
| 232. D8 | #6118 | semidirect |
| 254. C13 | #11663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131200 | 2 |
| #13130391 | 2 |
| #13129795 | 2 |
| #13129794 | 2 |
| C4×D8×D13 | 2 |
| #11663 | 13 |