Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 434 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. #13114886 | C2 | semidirect |
| 4. #13112964 | C2 | semidirect |
| 5. C13×#1812 | C2 | semidirect |
| 8. C22×C8×D13 | C4 | semidirect |
| 15. #11718787 | C4 | semidirect |
| 16. #11718780 | C4 | semidirect |
| 20. #11718762 | C4 | semidirect |
| 125. #1812 | D13 | semidirect |
| 307. C13 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123528 | 2 |
| #13116475 | 2 |
| #13114886 | 2 |
| #13112964 | 2 |
| C13×#1812 | 2 |
| #12805 | 13 |