Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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 |
|---|---|---|
| 1. C2×#14556153 | C2 | semidirect |
| 2. C22×#11765850 | C2 | semidirect |
| 3. #17986473 | C2 | semidirect |
| 4. #17986211 | C2 | semidirect |
| 5. #17986191 | C2 | semidirect |
| 6. #17986026 | C2 | semidirect |
| 7. #17986004 | C2 | semidirect |
| 8. #17985995 | C2 | semidirect |
| 9. #535×C71 | C2 | semidirect |
| 12. C2×#11765852 | C22 | semidirect |
| 15. C2×#11765850 | C22 | semidirect |
| 18. C4×D284 | C22 | semidirect |
| 22. C4⋊(C71⋊C8) | C22 | semidirect |
| 23. #14556052 | C22 | semidirect |
| 24. #14556049 | C22 | semidirect |
| 25. #14556049 | C22 | semidirect |
| 28. #127×C71 | C22 | semidirect |
| 29. #124×C71 | C22 | semidirect |
| 36. C2×D284 | D4 | semidirect |
| 122. C71 | #3041 | semidirect |
| 125. #535 | D71 | semidirect |
| 142. #127 | C2×D71 | semidirect |
| 143. #124 | C2×D71 | semidirect |