Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. #16810959 | C2 | semidirect |
| 3. #16810864 | C2 | semidirect |
| 4. #16810781 | C2 | semidirect |
| 7. C2×Dic212 | C22 | semidirect |
| 15. #13133151 | C22 | semidirect |
| 16. #13133142 | C22 | semidirect |
| 42. C23×C53 | Q16 | semidirect |
| 83. C53 | #3189 | semidirect |
| 120. C23 | Dic212 | semidirect |