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. #13112966 | C2 | semidirect |
| 5. C13×#1813 | C2 | semidirect |
| 8. C22×#6094 | C4 | semidirect |
| 15. #11718787 | C4 | semidirect |
| 16. #11718780 | C4 | semidirect |
| 20. #11718762 | C4 | semidirect |
| 124. #1813 | D13 | semidirect |
| 306. C13 | #12806 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123537 | 2 |
| #13116478 | 2 |
| #13114882 | 2 |
| #13112966 | 2 |
| C13×#1813 | 2 |
| #12806 | 13 |