Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #16811104 | C2 | semidirect |
| 3. #16810722 | C2 | semidirect |
| 4. #16810717 | C2 | semidirect |
| 5. #16810705 | C2 | semidirect |
| 6. #16810622 | C2 | semidirect |
| 7. #16810578 | C2 | semidirect |
| 8. C2×#107×C53 | C2 | semidirect |
| 10. #13133239 | C4 | semidirect |
| 33. #11719945 | C2×C4 | semidirect |
| 38. C2×C8×C53 | C2×C4 | semidirect |
| 52. Dic212 | C2×C4 | semidirect |
| 53. D424 | C2×C4 | semidirect |
| 54. #11719913 | C2×C4 | semidirect |
| 101. C2×#107 | D53 | semidirect |
| 104. C53 | #2951 | semidirect |
| 139. C2×C8 | C4×D53 | semidirect |