Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13115056 | C2 | semidirect |
| 4. #13112964 | C2 | semidirect |
| 19. #11718140 | C4 | semidirect |
| 20. #11718134 | C4 | semidirect |
| 224. C13 | #12975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123903 | 2 |
| #13116521 | 2 |
| #13115056 | 2 |
| #13112964 | 2 |
| C13×#1884 | 2 |
| #12975 | 13 |