Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
118 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 118 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 |
|---|---|---|
| 1. #17984087 | C2 | semidirect |
| 3. #17984010 | C2 | semidirect |
| 4. #17984009 | C2 | semidirect |
| 5. #17984008 | C2 | semidirect |
| 6. C8×Dic137 | C2 | semidirect |
| 7. #102×C137 | C2 | semidirect |
| 53. C137 | #486 | semidirect |
| 60. #102 | D137 | semidirect |