Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 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. #17986549 | C2 | semidirect |
| 2. #17986386 | C2 | semidirect |
| 3. #17986361 | C2 | semidirect |
| 4. #17986204 | C2 | semidirect |
| 5. #17986194 | C2 | semidirect |
| 6. #17986142 | C2 | semidirect |
| 7. #17986056 | C2 | semidirect |
| 8. #532×C71 | C2 | semidirect |
| 118. C71 | #3214 | semidirect |
| 120. #532 | D71 | semidirect |