Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
728 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13116489 | C2 | semidirect |
| 4. #13115388 | C2 | semidirect |
| 11. #11719418 | C4 | semidirect |
| 13. #11719377 | C4 | semidirect |
| 325. C13 | #12771 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129250 | 2 |
| #13116521 | 2 |
| #13116489 | 2 |
| #13115388 | 2 |
| C13×#1884 | 2 |
| #12771 | 13 |