Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#11719923 | C2 | semidirect |
| 2. #16811194 | C2 | semidirect |
| 3. #16811098 | C2 | semidirect |
| 4. #16810836 | C2 | semidirect |
| 5. #16810826 | C2 | semidirect |
| 6. #16810651 | C2 | semidirect |
| 7. #16810633 | C2 | semidirect |
| 8. #16810619 | C2 | semidirect |
| 14. #13133215 | C22 | semidirect |
| 15. #13133204 | C22 | semidirect |
| 23. #13133146 | C22 | semidirect |
| 24. #13133142 | C22 | semidirect |
| 25. #13133141 | C22 | semidirect |
| 26. #13133138 | C22 | semidirect |
| 126. C53 | #3042 | semidirect |