Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 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 |
|---|---|---|
| 1. C2×#14556102 | C2 | semidirect |
| 2. #17986332 | C2 | semidirect |
| 3. #17986323 | C2 | semidirect |
| 4. #17986315 | C2 | semidirect |
| 5. #17986233 | C2 | semidirect |
| 6. #17986230 | C2 | semidirect |
| 7. #17986149 | C2 | semidirect |
| 8. #17986144 | C2 | semidirect |
| 9. #17986132 | C2 | semidirect |
| 10. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 11. #525×C71 | C2 | semidirect |
| 14. C2×#11765852 | C22 | semidirect |
| 15. C2×#11765850 | C22 | semidirect |
| 16. C22×C71⋊C8 | C22 | semidirect |
| 23. #14556061 | C22 | semidirect |
| 24. #14556059 | C22 | semidirect |
| 25. #14556052 | C22 | semidirect |
| 26. #14556049 | C22 | semidirect |
| 27. #14556048 | C22 | semidirect |
| 28. #14556048 | C22 | semidirect |
| 31. C22⋊(C71⋊C8) | C22 | semidirect |
| 32. C2×#41×C71 | C22 | semidirect |
| 36. C22⋊Q8×C71 | C22 | semidirect |
| 38. #121×C71 | C22 | semidirect |
| 42. #117×C71 | C22 | semidirect |
| 159. C71 | #3188 | semidirect |
| 160. #525 | D71 | semidirect |
| 171. C2×#41 | C2×D71 | semidirect |
| 180. C22⋊Q8 | C2×D71 | semidirect |
| 186. #121 | C2×D71 | semidirect |
| 190. #117 | C2×D71 | semidirect |