Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13116501 | C2 | semidirect |
| 2. #13113571 | C2 | semidirect |
| 3. #13112981 | C2 | semidirect |
| 5. C13×#585 | C4 | semidirect |
| 9. C13×#455 | C4 | semidirect |
| 13. C13×#413 | C4 | semidirect |
| 17. #11718137 | C22 | semidirect |
| 18. #11718136 | C22 | semidirect |
| 156. #585 | Dic13 | semidirect |
| 160. #455 | Dic13 | semidirect |
| 165. #413 | Dic13 | semidirect |
| 284. C13 | #13562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116501 | 2 |
| #13113571 | 2 |
| #13112981 | 2 |
| C13×#3018 | 2 |
| #13562 | 13 |