Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
776 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 776 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13114824 | C2 | semidirect |
| 2. #13113157 | C2 | semidirect |
| 3. #13112833 | C2 | semidirect |
| 5. C23×D4×C13 | C4 | semidirect |
| 9. C13×#394 | C4 | semidirect |
| 12. C13×#380 | C4 | semidirect |
| 17. #11718118 | C22 | semidirect |
| 19. #11718117 | C22 | semidirect |
| 164. C23×D4 | Dic13 | semidirect |
| 170. #394 | Dic13 | semidirect |
| 174. #380 | Dic13 | semidirect |
| 305. C13 | #11873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114824 | 2 |
| #13113157 | 2 |
| #13112833 | 2 |
| C13×#2408 | 2 |
| #11873 | 13 |