Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 121 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. #13114639 | C2 | semidirect |
| 4. #13112966 | C2 | semidirect |
| 7. C2×#88202 | C4 | semidirect |
| 11. #11718895 | C4 | semidirect |
| 16. #11718585 | C4 | semidirect |
| 17. C2×#88043 | C4 | semidirect |
| 18. C13×#356 | C4 | semidirect |
| 19. C13×#355 | C4 | semidirect |
| 144. #356 | Dic13 | semidirect |
| 145. #355 | Dic13 | semidirect |
| 242. C13 | #12634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123554 | 2 |
| #13116501 | 2 |
| #13114639 | 2 |
| #13112966 | 2 |
| C13×#2132 | 2 |
| #12634 | 13 |