Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. #13116394 | C2 | semidirect |
| 2. #13116239 | C2 | semidirect |
| 3. #13116239 | C2 | semidirect |
| 4. #13112659 | C2 | semidirect |
| 5. #13112657 | C2 | semidirect |
| 6. #13112657 | C2 | semidirect |
| 335. C13 | #7795 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116394 | 2 |
| #13116239 | 2 |
| #13112659 | 2 |
| #13112657 | 2 |
| C13×#2682 | 2 |
| #7795 | 13 |