Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 412 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. #13116601 | C2 | semidirect |
| 5. #13114961 | C2 | semidirect |
| 6. #13112937 | C2 | semidirect |
| 7. C13×#1389 | C2 | semidirect |
| 18. #11718530 | C4 | semidirect |
| 98. #1389 | D13 | semidirect |
| 229. C13 | #12826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123687 | 2 |
| #13116601 | 2 |
| C2×#11718087 | 2 |
| #13116553 | 2 |
| #13114961 | 2 |
| #13112937 | 2 |
| C13×#1389 | 2 |
| #12826 | 13 |