Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
308 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13113011 | C2 | semidirect |
| 4. #13112996 | C2 | semidirect |
| 6. C13×#541 | C4 | semidirect |
| 9. C13×#494 | C4 | semidirect |
| 10. C13×#491 | C4 | semidirect |
| 16. C13×#433 | C4 | semidirect |
| 129. #541 | Dic13 | semidirect |
| 132. #494 | Dic13 | semidirect |
| 133. #491 | Dic13 | semidirect |
| 139. #433 | Dic13 | semidirect |
| 237. C13 | #13608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116525 | 2 |
| #13116511 | 2 |
| #13113011 | 2 |
| #13112996 | 2 |
| C13×#3223 | 2 |
| #13608 | 13 |