Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
444 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 1. #17986551 | C2 | semidirect |
| 3. #17986335 | C2 | semidirect |
| 4. #17986332 | C2 | semidirect |
| 5. #17986277 | C2 | semidirect |
| 6. #17986202 | C2 | semidirect |
| 8. #17986100 | C2 | semidirect |
| 9. #17986096 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 14. #14556127 | C22 | semidirect |
| 15. #14556126 | C22 | semidirect |
| 19. Q8×Dic71 | C22 | semidirect |
| 21. #14556093 | C22 | semidirect |
| 30. #14556062 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 34. #14556052 | C22 | semidirect |
| 37. #14556038 | C22 | semidirect |
| 137. C71 | #3110 | semidirect |