Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 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. C22×#11765850 | C2 | semidirect |
| 2. C2×#14556135 | C2 | semidirect |
| 3. #17986563 | C2 | semidirect |
| 4. #17986250 | C2 | semidirect |
| 5. #17986233 | C2 | semidirect |
| 6. #17986035 | C2 | semidirect |
| 7. #17986004 | C2 | semidirect |
| 8. #17986003 | C2 | semidirect |
| 9. #535×C71 | C2 | semidirect |
| 16. C2×#11765849 | C22 | semidirect |
| 18. C22×C71⋊C8 | C22 | semidirect |
| 21. #14556102 | C22 | semidirect |
| 24. #14556061 | C22 | semidirect |
| 25. #14556059 | C22 | semidirect |
| 26. #14556049 | C22 | semidirect |
| 27. #14556048 | C22 | semidirect |
| 32. #121×C71 | C22 | semidirect |
| 46. C2×C71⋊C8 | D4 | semidirect |
| 126. C71 | #3058 | semidirect |
| 130. #535 | D71 | semidirect |
| 152. #121 | C2×D71 | semidirect |