Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
784 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 784 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. C2×#14556174 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. C22×#11765850 | C2 | semidirect |
| 4. #17986142 | C2 | semidirect |
| 5. #17986132 | C2 | semidirect |
| 6. #17986003 | C2 | semidirect |
| 7. #17985993 | C2 | semidirect |
| 8. #17985966 | C2 | semidirect |
| 9. #535×C71 | C2 | semidirect |
| 14. C2×#11765865 | C22 | semidirect |
| 16. C22×D284 | C22 | semidirect |
| 20. C2×#11765853 | C22 | semidirect |
| 22. C2×#11765850 | C22 | semidirect |
| 23. C2×#11765850 | C22 | semidirect |
| 24. C2×#11765849 | C22 | semidirect |
| 25. C22×C71⋊C8 | C22 | semidirect |
| 26. #14556051 | C22 | semidirect |
| 27. #14556048 | C22 | semidirect |
| 28. #14556048 | C22 | semidirect |
| 29. C22⋊(C71⋊C8) | C22 | semidirect |
| 31. C22×D4×C71 | C22 | semidirect |
| 34. #121×C71 | C22 | semidirect |
| 36. #117×C71 | C22 | semidirect |
| 43. #11765865 | D4 | semidirect |
| 50. C2×D284 | D4 | semidirect |
| 152. C71 | #3008 | semidirect |
| 156. #535 | D71 | semidirect |
| 172. C22×D4 | C2×D71 | semidirect |
| 182. #121 | C2×D71 | semidirect |
| 184. #117 | C2×D71 | semidirect |