Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
236 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 74 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. D53⋊M32 | C2 | semidirect |
| 2. #16811520 | C2 | semidirect |
| 3. #16811519 | C2 | semidirect |
| 6. #13133291 | C22 | semidirect |
| 91. D53 | #349 | semidirect |
| 96. C53 | C2×#349 | semidirect |