Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
348 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17986407 | C2 | semidirect |
| 3. #17986401 | C2 | semidirect |
| 4. #17986299 | C2 | semidirect |
| 5. #17986297 | C2 | semidirect |
| 6. #17986277 | C2 | semidirect |
| 7. #17986129 | C2 | semidirect |
| 54. D8×C71 | Q8 | semidirect |
| 97. C71 | #3389 | semidirect |
| 138. D8 | Dic142 | semidirect |