Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17986530 | C2 | semidirect |
| 2. C2×#14556115 | C2 | semidirect |
| 3. #17986382 | C2 | semidirect |
| 4. #17986352 | C2 | semidirect |
| 5. #17986220 | C2 | semidirect |
| 6. #17986212 | C2 | semidirect |
| 7. #17986157 | C2 | semidirect |
| 8. #17986150 | C2 | semidirect |
| 9. #17986137 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 13. C2×Dic284 | C22 | semidirect |
| 15. C2×#11765853 | C22 | semidirect |
| 17. #14556119 | C22 | semidirect |
| 22. #14556115 | C22 | semidirect |
| 25. #14556093 | C22 | semidirect |
| 27. D4×Dic71 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 34. #14556051 | C22 | semidirect |
| 37. C8×Dic71 | C22 | semidirect |
| 144. C71 | #3211 | semidirect |