Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
786 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 95 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. C4×#88074 | C2 | semidirect |
| 2. #13113177 | 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 |
| 158. C23×D4 | Dic13 | semidirect |
| 164. #394 | Dic13 | semidirect |
| 167. #380 | Dic13 | semidirect |
| 293. C13 | #11772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88074 | 2 |
| #13113177 | 2 |
| #13112833 | 2 |
| C13×#2408 | 2 |
| #11772 | 13 |