Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
378 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13116594 | C2 | semidirect |
| 5. #13114961 | C2 | semidirect |
| 6. #13112950 | C2 | semidirect |
| 7. C13×#1381 | C2 | semidirect |
| 18. #11718555 | C4 | semidirect |
| 105. #1381 | D13 | semidirect |
| 240. C13 | #12829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123752 | 2 |
| #13116594 | 2 |
| #13116583 | 2 |
| #13116544 | 2 |
| #13114961 | 2 |
| #13112950 | 2 |
| C13×#1381 | 2 |
| #12829 | 13 |