Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17986604 | C2 | semidirect |
| 2. #17986389 | C2 | semidirect |
| 3. #17986373 | C2 | semidirect |
| 4. #17986367 | C2 | semidirect |
| 5. #17986353 | C2 | semidirect |
| 6. #17986211 | C2 | semidirect |
| 7. #17986201 | C2 | semidirect |
| 8. #17986144 | C2 | semidirect |
| 9. #17986138 | C2 | semidirect |
| 10. #17986060 | C2 | semidirect |
| 11. #536×C71 | C2 | semidirect |
| 121. C71 | #3221 | semidirect |
| 123. #536 | D71 | semidirect |