Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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. C2×#13133247 | C2 | semidirect |
| 2. C22×#11719923 | C2 | semidirect |
| 3. #16811100 | C2 | semidirect |
| 4. #16810842 | C2 | semidirect |
| 5. #16810820 | C2 | semidirect |
| 6. #16810650 | C2 | semidirect |
| 7. #16810628 | C2 | semidirect |
| 8. #16810619 | C2 | semidirect |
| 12. C2×#11719925 | C22 | semidirect |
| 15. C2×#11719923 | C22 | semidirect |
| 18. C4×Dic106 | C22 | semidirect |
| 22. C4⋊#88322 | C22 | semidirect |
| 23. #13133141 | C22 | semidirect |
| 25. #13133138 | C22 | semidirect |
| 49. C2×Dic106 | D4 | semidirect |
| 126. C53 | #3043 | semidirect |