Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
120 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 47 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. #16811025 | C2 | semidirect |
| 3. #16810446 | C2 | semidirect |
| 5. C53×#364 | C2 | semidirect |
| 54. #364 | D53 | semidirect |
| 56. C53 | #2231 | semidirect |