Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 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. #17986370 | C2 | semidirect |
| 4. #17986344 | C2 | semidirect |
| 5. #17986198 | C2 | semidirect |
| 6. #17986197 | C2 | semidirect |
| 7. #17986152 | C2 | semidirect |
| 8. #17986150 | C2 | semidirect |
| 9. #17986149 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #450×C71 | C2 | semidirect |
| 15. C2×#11765854 | C22 | semidirect |
| 16. C2×#11765853 | C22 | semidirect |
| 17. C2×#11765852 | C22 | semidirect |
| 18. #14556127 | C22 | semidirect |
| 19. #14556126 | C22 | semidirect |
| 27. Q8×Dic71 | C22 | semidirect |
| 29. #14556093 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556050 | C22 | semidirect |
| 34. #14556049 | C22 | semidirect |
| 35. #14556048 | C22 | semidirect |
| 37. C8×Dic71 | C22 | semidirect |
| 39. C2×SD16×C71 | C22 | semidirect |
| 41. #102×C71 | C22 | semidirect |
| 111. C2×Dic71 | SD16 | semidirect |
| 152. C71 | #3208 | semidirect |
| 162. #450 | D71 | semidirect |
| 171. C2×SD16 | C2×D71 | semidirect |
| 191. #102 | C2×D71 | semidirect |