Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
408 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13115058 | C2 | semidirect |
| 4. #13112966 | C2 | semidirect |
| 17. C13×#356 | C4 | semidirect |
| 18. C13×#355 | C4 | semidirect |
| 133. #356 | Dic13 | semidirect |
| 134. #355 | Dic13 | semidirect |
| 224. C13 | #12974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123907 | 2 |
| #13115220 | 2 |
| #13115058 | 2 |
| #13112966 | 2 |
| C13×#2132 | 2 |
| #12974 | 13 |