Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
140 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 43 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×#13133163 | C2 | semidirect |
| 5. #16810452 | C2 | semidirect |
| 6. #16810440 | C2 | semidirect |
| 7. C53×#362 | C2 | semidirect |
| 76. #362 | D53 | semidirect |
| 77. C53 | #2222 | semidirect |