Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
378 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 4. #13114960 | C2 | semidirect |
| 5. #13112951 | C2 | semidirect |
| 6. #13112930 | C2 | semidirect |
| 7. C13×#2151 | C2 | semidirect |
| 17. #11718378 | C4 | semidirect |
| 100. #2151 | D13 | semidirect |
| 240. C13 | #12829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123754 | 2 |
| #13116586 | 2 |
| #13116544 | 2 |
| #13114960 | 2 |
| #13112951 | 2 |
| #13112930 | 2 |
| C13×#2151 | 2 |
| #12829 | 13 |