Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
688 conjugacy classes of subgroups; only the 215 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 215 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 |
|---|---|---|
| 1. #13115332 | C2 | semidirect |
| 2. #13115311 | C2 | semidirect |
| 3. #13115230 | C2 | semidirect |
| 5. #13114985 | C2 | semidirect |
| 12. C13×#497 | C4 | semidirect |
| 13. C13×#494 | C4 | semidirect |
| 14. C13×#492 | C4 | semidirect |
| 123. #497 | Dic13 | semidirect |
| 124. #494 | Dic13 | semidirect |
| 125. #492 | Dic13 | semidirect |
| 215. C13 | #23360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115332 | 2 |
| #13115311 | 2 |
| #13115230 | 2 |
| #13115220 | 2 |
| #13114985 | 2 |
| C13×#3152 | 2 |
| #23360 | 13 |