Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
398 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 149 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. #17986627 | C2 | semidirect |
| 2. #17986299 | C2 | semidirect |
| 3. #17986299 | C2 | semidirect |
| 4. #17986289 | C2 | semidirect |
| 5. #17986279 | C2 | semidirect |
| 6. #17986042 | C2 | semidirect |
| 7. #17986035 | C2 | semidirect |
| 8. #17986026 | C2 | semidirect |
| 14. #14556128 | C22 | semidirect |
| 16. #14556120 | C22 | semidirect |
| 21. #14556061 | C22 | semidirect |
| 22. #14556061 | C22 | semidirect |
| 23. #14556061 | C22 | semidirect |
| 24. #14556059 | C22 | semidirect |
| 25. #14556059 | C22 | semidirect |
| 26. #14556059 | C22 | semidirect |
| 27. C4⋊(C71⋊C8) | C22 | semidirect |
| 28. C4⋊(C71⋊C8) | C22 | semidirect |
| 60. C2×D4×C71 | Q8 | semidirect |
| 125. C71 | #3081 | semidirect |
| 170. C2×D4 | Dic142 | semidirect |