Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #17986602 | C2 | semidirect |
| 2. #17986400 | C2 | semidirect |
| 3. #17986374 | C2 | semidirect |
| 4. #17986362 | C2 | semidirect |
| 5. #17986250 | C2 | semidirect |
| 6. #17986235 | C2 | semidirect |
| 7. #17986108 | C2 | semidirect |
| 8. D8×Dic71 | C2 | semidirect |
| 9. #17986081 | C2 | semidirect |
| 10. #17985954 | C2 | semidirect |
| 11. #466×C71 | C2 | semidirect |
| 124. C71 | #3176 | semidirect |
| 131. #466 | D71 | semidirect |