Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13116631 | C2 | semidirect |
| 5. #13115626 | C2 | semidirect |
| 6. #13112930 | C2 | semidirect |
| 7. C13×#1379 | C2 | semidirect |
| 21. #11718109 | C4 | semidirect |
| 22. #11718108 | C4 | semidirect |
| 105. #1379 | D13 | semidirect |
| 239. C13 | #12942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123754 | 2 |
| #13116631 | 2 |
| #13116586 | 2 |
| C2×#11718102 | 2 |
| #13115626 | 2 |
| #13112930 | 2 |
| C13×#1379 | 2 |
| #12942 | 13 |