Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 510 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 |
|---|---|---|
| 2. #13114872 | C2 | semidirect |
| 3. #13114614 | C2 | semidirect |
| 5. #13113200 | C2 | semidirect |
| 7. C13×#1508 | C2 | semidirect |
| 9. C22×#6106 | C4 | semidirect |
| 14. C2×#88075 | C4 | semidirect |
| 22. C2×#88049 | C4 | semidirect |
| 23. C2×#88048 | C4 | semidirect |
| 141. #1508 | D13 | semidirect |
| 352. C13 | #9816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718709 | 2 |
| #13114872 | 2 |
| #13114614 | 2 |
| #13113351 | 2 |
| #13113200 | 2 |
| #13113197 | 2 |
| C13×#1508 | 2 |
| #9816 | 13 |