Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13123931 | C2 | semidirect |
| 2. #13113348 | C2 | semidirect |
| 5. #13112698 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 10. C13×#494 | C4 | semidirect |
| 11. C13×#492 | C4 | semidirect |
| 12. C13×#487 | C4 | semidirect |
| 13. C13×#486 | C4 | semidirect |
| 154. #494 | Dic13 | semidirect |
| 155. #492 | Dic13 | semidirect |
| 156. #487 | Dic13 | semidirect |
| 157. #486 | Dic13 | semidirect |
| 277. C13 | #9282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123931 | 2 |
| #13113348 | 2 |
| #13113344 | 2 |
| #13113305 | 2 |
| #13112698 | 2 |
| #13112664 | 2 |
| C13×#3210 | 2 |
| #9282 | 13 |