Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
114 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 31 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. #16810405 | C2 | semidirect |
| 3. C53×H(3,ℤ/4) | C2 | semidirect |
| 4. C2×D424 | C4 | semidirect |
| 7. #13133149 | C4 | semidirect |
| 55. H(3,ℤ/4) | D53 | semidirect |
| 56. C53 | #1339 | semidirect |