Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
716 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 119 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. #13114772 | C2 | semidirect |
| 4. #13112704 | C2 | semidirect |
| 18. #11718640 | C4 | semidirect |
| 19. #11718608 | C4 | semidirect |
| 289. C13 | #9471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118201 | 2 |
| #13114824 | 2 |
| #13114772 | 2 |
| #13112704 | 2 |
| C13×#2973 | 2 |
| #9471 | 13 |