Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
106 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 39 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. #16812068 | C2 | semidirect |
| 2. #16812042 | C2 | semidirect |
| 3. #16812040 | C2 | semidirect |
| 4. #16812030 | C2 | semidirect |
| 5. #16812030 | C2 | semidirect |
| 6. C22⋊(C107⋊C8) | C2 | semidirect |
| 51. C107 | #482 | semidirect |