Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. C2×#14556127 | C2 | semidirect |
| 3. #17986396 | C2 | semidirect |
| 4. #17986344 | C2 | semidirect |
| 5. #17986318 | C2 | semidirect |
| 6. #17986317 | C2 | semidirect |
| 7. #17986315 | C2 | semidirect |
| 8. #17986288 | C2 | semidirect |
| 9. #17986287 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #481×C71 | C2 | semidirect |
| 138. C71 | #3227 | semidirect |
| 146. #481 | D71 | semidirect |