Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
716 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13114771 | C2 | semidirect |
| 4. #13112703 | C2 | semidirect |
| 9. C13×#395 | C4 | semidirect |
| 10. C13×#393 | C4 | semidirect |
| 165. #395 | Dic13 | semidirect |
| 166. #393 | Dic13 | semidirect |
| 289. C13 | #9471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123865 | 2 |
| #13114824 | 2 |
| #13114771 | 2 |
| #13112703 | 2 |
| C13×#2409 | 2 |
| #9471 | 13 |