Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
352 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 131 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. #17986708 | C2 | semidirect |
| 2. #17986403 | C2 | semidirect |
| 3. #17986401 | C2 | semidirect |
| 4. #17986400 | C2 | semidirect |
| 5. #17986301 | C2 | semidirect |
| 6. #17986299 | C2 | semidirect |
| 7. #17986287 | C2 | semidirect |
| 8. C8×Dic142 | C2 | semidirect |
| 61. D8×C71 | Q8 | semidirect |
| 109. C71 | #3380 | semidirect |
| 154. D8 | Dic142 | semidirect |