Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
162 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 61 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. #16810750 | C2 | semidirect |
| 4. #16810375 | C2 | semidirect |
| 5. #16810355 | C2 | semidirect |
| 6. #16810345 | C2 | semidirect |
| 60. #88322 | M16 | semidirect |
| 85. C53 | #1592 | semidirect |