Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
408 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13115055 | C2 | semidirect |
| 4. #13112965 | C2 | semidirect |
| 18. #11718140 | C4 | semidirect |
| 19. #11718134 | C4 | semidirect |
| 224. C13 | #12974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116521 | 2 |
| #13115220 | 2 |
| #13115055 | 2 |
| #13112965 | 2 |
| C13×#2980 | 2 |
| #12974 | 13 |