Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1306 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 1306 conjugacy classes of subgroups — too many to draw. Only its 291 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. #13129548 | C2 | semidirect |
| 2. #13123540 | C2 | semidirect |
| 3. #13115255 | C2 | semidirect |
| 4. #13115124 | C2 | semidirect |
| 5. #13114787 | C2 | semidirect |
| 6. #13114638 | C2 | semidirect |
| 14. C22×#6099 | C22 | semidirect |
| 20. #11718868 | C22 | semidirect |
| 23. #11718660 | C22 | semidirect |
| 24. #11718658 | C22 | semidirect |
| 25. #11718125 | C22 | semidirect |
| 47. C2×#6099 | D4 | semidirect |
| 51. C22×#1055 | D4 | semidirect |
| 245. C13 | #21484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129548 | 2 |
| #13123540 | 2 |
| #13115255 | 2 |
| #13115124 | 2 |
| #13114787 | 2 |
| #13114638 | 2 |
| C13×#3025 | 2 |
| #21484 | 13 |