Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13113257 | C2 | semidirect |
| 5. #13112700 | C2 | semidirect |
| 6. #13112699 | C2 | semidirect |
| 7. C13×#1515 | C2 | semidirect |
| 12. #11718750 | C4 | semidirect |
| 13. #11718750 | C4 | semidirect |
| 14. #11718741 | C4 | semidirect |
| 15. #11718741 | C4 | semidirect |
| 136. #1515 | D13 | semidirect |
| 321. C13 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126076 | 2 |
| #13123816 | 2 |
| #13113411 | 2 |
| #13113257 | 2 |
| #13112700 | 2 |
| #13112699 | 2 |
| C13×#1515 | 2 |
| #9369 | 13 |