Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986296 | C2 | semidirect |
| 3. #17986296 | C2 | semidirect |
| 4. #17986286 | C2 | semidirect |
| 5. #17986276 | C2 | semidirect |
| 6. #17986039 | C2 | semidirect |
| 7. #17986035 | C2 | semidirect |
| 8. #17986026 | C2 | semidirect |
| 11. #544×C71 | C2 | 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 |
| 34. C4⋊Q8×C71 | C22 | semidirect |
| 36. #125×C71 | C22 | semidirect |
| 44. C2×D284 | Q8 | semidirect |
| 125. C71 | #3081 | semidirect |
| 126. #544 | D71 | semidirect |
| 141. C4⋊Q8 | C2×D71 | semidirect |
| 143. #125 | C2×D71 | semidirect |