Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 424 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. #13115122 | C2 | semidirect |
| 4. #13112956 | C2 | semidirect |
| 19. #11718137 | C4 | semidirect |
| 20. #11718133 | C4 | semidirect |
| 225. C13 | #12968 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123903 | 2 |
| #13116501 | 2 |
| #13115122 | 2 |
| #13112956 | 2 |
| C13×#1884 | 2 |
| #12968 | 13 |