Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #13114882 | C2 | semidirect |
| 4. #13112956 | C2 | semidirect |
| 5. C13×#1812 | C2 | semidirect |
| 8. C2×#88155 | C4 | semidirect |
| 13. #11718790 | C4 | semidirect |
| 16. #11718779 | C4 | semidirect |
| 20. C2×#88055 | C4 | semidirect |
| 125. #1812 | D13 | semidirect |
| 306. C13 | #12808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123552 | 2 |
| #13116499 | 2 |
| #13114882 | 2 |
| #13112956 | 2 |
| C13×#1812 | 2 |
| #12808 | 13 |