Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
222 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 35 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. #16810390 | C2 | semidirect |
| 3. C53×#323 | C2 | semidirect |
| 4. C22×D212 | C4 | semidirect |
| 8. #13133124 | C4 | semidirect |
| 91. #323 | D53 | semidirect |
| 92. C53 | #1343 | semidirect |