Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17986556 | C2 | semidirect |
| 2. #17986303 | C2 | semidirect |
| 3. #17986294 | C2 | semidirect |
| 4. #17986289 | C2 | semidirect |
| 5. #17986255 | C2 | semidirect |
| 7. #17986218 | C2 | semidirect |
| 8. #17986209 | C2 | semidirect |
| 9. #17986204 | C2 | semidirect |
| 10. #17986023 | C2 | semidirect |
| 134. C71 | #3252 | semidirect |