Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13123848 | C2 | semidirect |
| 3. #13114647 | C2 | semidirect |
| 4. #13113428 | C2 | semidirect |
| 5. #13112729 | C2 | semidirect |
| 6. #13112709 | C2 | semidirect |
| 7. C13×#1505 | C2 | semidirect |
| 12. #11718755 | C4 | semidirect |
| 13. #11718748 | C4 | semidirect |
| 14. #11718736 | C4 | semidirect |
| 15. #11718733 | C4 | semidirect |
| 138. #1505 | D13 | semidirect |
| 335. C13 | #9161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124981 | 2 |
| #13123848 | 2 |
| #13114647 | 2 |
| #13113428 | 2 |
| #13112729 | 2 |
| #13112709 | 2 |
| C13×#1505 | 2 |
| #9161 | 13 |