Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
120 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 120 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. C2×#14555498 | C2 | semidirect |
| 2. C2×#14555493 | C2 | semidirect |
| 3. #17984068 | C2 | semidirect |
| 5. #17984021 | C2 | semidirect |
| 6. #17984013 | C2 | semidirect |
| 7. #102×C137 | C2 | semidirect |
| 30. #11764040 | D4 | semidirect |
| 55. C137 | #468 | semidirect |
| 63. #102 | D137 | semidirect |