Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
154 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 49 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. #16811063 | C2 | semidirect |
| 3. #16811007 | C2 | semidirect |
| 4. #16810444 | C2 | semidirect |
| 5. #16810438 | C2 | semidirect |
| 6. #16810435 | C2 | semidirect |
| 7. C53×#443 | C2 | semidirect |
| 78. #443 | D53 | semidirect |
| 82. C53 | #2212 | semidirect |