Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #16810447 | C2 | semidirect |
| 4. #16810446 | C2 | semidirect |
| 5. #16810439 | C2 | semidirect |
| 7. C53×#362 | C2 | semidirect |
| 67. #362 | D53 | semidirect |
| 69. C53 | #2239 | semidirect |