Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13125468 | C2 | semidirect |
| 2. #13116987 | C2 | semidirect |
| 3. #13116971 | C2 | semidirect |
| 4. #13116947 | C2 | semidirect |
| 5. #13116927 | C2 | semidirect |
| 6. #13116897 | C2 | semidirect |
| 7. #13116889 | C2 | semidirect |
| 8. #13116594 | C2 | semidirect |
| 248. C13 | #33828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125468 | 2 |
| #13116987 | 2 |
| #13116971 | 2 |
| #13116947 | 2 |
| #13116927 | 2 |
| #13116897 | 2 |
| #13116889 | 2 |
| #13116594 | 2 |
| C13×#2215 | 2 |
| #33828 | 13 |