Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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. C2×#13133237 | C2 | semidirect |
| 2. C2×#13133225 | C2 | semidirect |
| 3. #16811204 | C2 | semidirect |
| 4. #16811201 | C2 | semidirect |
| 5. #16810880 | C2 | semidirect |
| 6. #16810875 | C2 | semidirect |
| 7. #16810855 | C2 | semidirect |
| 8. #16810851 | C2 | semidirect |
| 9. C2×#13133148 | C2 | semidirect |
| 10. #16810625 | C2 | semidirect |
| 11. C53×#417 | C2 | semidirect |
| 82. C2×#88322 | D4 | semidirect |
| 163. #417 | D53 | semidirect |
| 164. C53 | #3060 | semidirect |