Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #17986479 | C2 | semidirect |
| 3. #17986322 | C2 | semidirect |
| 4. #17986321 | C2 | semidirect |
| 5. #17986316 | C2 | semidirect |
| 6. #17986311 | C2 | semidirect |
| 7. #17986041 | C2 | semidirect |
| 8. #17986035 | C2 | semidirect |
| 9. C2×#14556049 | C2 | semidirect |
| 10. #17985967 | C2 | semidirect |
| 11. #418×C71 | C2 | semidirect |
| 23. #14556086 | C22 | semidirect |
| 25. C4⋊C4×D71 | C22 | semidirect |
| 26. #14556062 | C22 | semidirect |
| 27. #14556061 | C22 | semidirect |
| 28. #14556061 | C22 | semidirect |
| 29. #14556060 | C22 | semidirect |
| 30. #14556059 | C22 | semidirect |
| 31. #14556059 | C22 | semidirect |
| 34. (C2×D71)⋊C8 | C22 | semidirect |
| 35. (C2×D71)⋊C8 | C22 | semidirect |
| 135. C71 | #3096 | semidirect |
| 144. #418 | D71 | semidirect |