Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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×#13133216 | C2 | semidirect |
| 3. #16811031 | C2 | semidirect |
| 4. #16810984 | C2 | semidirect |
| 5. #16810956 | C2 | semidirect |
| 8. #16810906 | C2 | semidirect |
| 9. #16810902 | C2 | semidirect |
| 10. #16810677 | C2 | semidirect |
| 11. C53×#484 | C2 | semidirect |
| 134. #484 | D53 | semidirect |
| 140. C53 | #3239 | semidirect |