Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#13133236 | C2 | semidirect |
| 2. C2×#13133223 | C2 | semidirect |
| 3. #16811202 | C2 | semidirect |
| 4. #16810868 | C2 | semidirect |
| 5. #16810867 | C2 | semidirect |
| 6. #16810865 | C2 | semidirect |
| 7. #16810864 | C2 | semidirect |
| 8. #16810856 | C2 | semidirect |
| 9. #107×D53 | C2 | semidirect |
| 10. #16810621 | C2 | semidirect |
| 11. C53×#466 | C2 | semidirect |
| 80. C8×D53 | D4 | semidirect |
| 152. #466 | D53 | semidirect |
| 155. C53 | #3061 | semidirect |