Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
554 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 100 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. #13130970 | C2 | semidirect |
| 2. #13130969 | C2 | semidirect |
| 3. C4×C8×#261 | C2 | semidirect |
| 4. #13130395 | C2 | semidirect |
| 5. #13130183 | C2 | semidirect |
| 6. #13130182 | C2 | semidirect |
| 17. C13×#486 | C4 | semidirect |
| 18. #11718739 | C4 | semidirect |
| 19. #11718734 | C4 | semidirect |
| 22. #11718355 | C4 | semidirect |
| 94. C4×#261 | D8 | semidirect |
| 157. #1055 | #104 | semidirect |
| 163. #486 | #261 | semidirect |
| 289. C13 | #9844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130970 | 2 |
| #13130969 | 2 |
| C4×C8×#261 | 2 |
| #13130395 | 2 |
| #13130183 | 2 |
| #13130182 | 2 |
| #13125414 | 2 |
| #9844 | 13 |