Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
106 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 37 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. #17984046 | C2 | semidirect |
| 3. #17984021 | C2 | semidirect |
| 4. #17984020 | C2 | semidirect |
| 5. #17984009 | C2 | semidirect |
| 6. #17984000 | C2 | semidirect |
| 7. #102×C137 | C2 | semidirect |
| 51. C137 | #482 | semidirect |
| 58. #102 | D137 | semidirect |