Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17986535 | C2 | semidirect |
| 2. C2×D4×Dic71 | C2 | semidirect |
| 3. #17986327 | C2 | semidirect |
| 4. #17986313 | C2 | semidirect |
| 5. #17986297 | C2 | semidirect |
| 6. #17986216 | C2 | semidirect |
| 8. #17986108 | C2 | semidirect |
| 9. #17986100 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #450×C71 | C2 | semidirect |
| 15. #14556119 | C22 | semidirect |
| 16. #14556117 | C22 | semidirect |
| 19. Q8×Dic71 | C22 | semidirect |
| 24. #14556090 | C22 | semidirect |
| 30. #14556062 | C22 | semidirect |
| 31. #14556059 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556052 | C22 | semidirect |
| 34. #14556050 | C22 | semidirect |
| 37. #14556038 | C22 | semidirect |
| 141. C71 | #3114 | semidirect |
| 148. #450 | D71 | semidirect |