Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 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. #17986570 | C2 | semidirect |
| 2. #17986340 | C2 | semidirect |
| 3. #17986320 | C2 | semidirect |
| 4. #17986243 | C2 | semidirect |
| 5. #17986226 | C2 | semidirect |
| 6. #17986150 | C2 | semidirect |
| 7. #17986137 | C2 | semidirect |
| 8. #17985966 | C2 | semidirect |
| 10. C22×Dic142 | C22 | semidirect |
| 13. C2×#11765849 | C22 | semidirect |
| 14. C22×C71⋊C8 | C22 | semidirect |
| 20. #14556107 | C22 | semidirect |
| 21. #14556087 | C22 | semidirect |
| 22. #14556061 | C22 | semidirect |
| 23. #14556059 | C22 | semidirect |
| 24. #14556051 | C22 | semidirect |
| 25. #14556051 | C22 | semidirect |
| 29. C22⋊(C71⋊C8) | C22 | semidirect |
| 138. C71 | #3200 | semidirect |