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×#13133236 | C2 | semidirect |
| 2. #16811277 | C2 | semidirect |
| 3. #16811003 | C2 | semidirect |
| 4. #16810865 | C2 | semidirect |
| 5. #16810828 | C2 | semidirect |
| 6. #16810786 | C2 | semidirect |
| 7. C8×D212 | C2 | semidirect |
| 8. C4×D8×C53 | C2 | semidirect |
| 38. D8×C53 | D4 | semidirect |
| 85. C4×C53 | #135 | semidirect |
| 102. C4×D8 | D53 | semidirect |
| 104. C53 | #3283 | semidirect |
| 137. D8 | D212 | semidirect |
| 183. C4 | #13133236 | semidirect |