Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16811180 | C2 | semidirect |
| 2. #16810982 | C2 | semidirect |
| 3. #16810977 | C2 | semidirect |
| 4. #16810632 | C2 | semidirect |
| 6. C4×#11719917 | C2 | semidirect |
| 9. #13133217 | C22 | semidirect |
| 10. #13133209 | C22 | semidirect |
| 14. #13133141 | C22 | semidirect |
| 16. #13133128 | C22 | semidirect |
| 17. C4×#88322 | C22 | semidirect |
| 91. C53 | #3140 | semidirect |