Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
116 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 37 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. C22⋊#11719908 | C2 | semidirect |
| 3. C53×C22⋊C16 | C2 | semidirect |
| 59. C22⋊C16 | D53 | semidirect |
| 60. C53 | #1315 | semidirect |