Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13123496 | C2 | semidirect |
| 3. #13114932 | C2 | semidirect |
| 5. #13112743 | C2 | semidirect |
| 6. #13112724 | C2 | semidirect |
| 12. #11718876 | C4 | semidirect |
| 13. #11718876 | C4 | semidirect |
| 23. #11718625 | C4 | semidirect |
| 24. #11718625 | C4 | semidirect |
| 360. C13 | #9348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124772 | 2 |
| #13123496 | 2 |
| #13114932 | 2 |
| #13113404 | 2 |
| #13112743 | 2 |
| #13112724 | 2 |
| C13×#1471 | 2 |
| #9348 | 13 |