Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
806 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 806 conjugacy classes of subgroups — too many to draw. Only its 153 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×#11765865 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. #17986142 | C2 | semidirect |
| 4. #17986137 | C2 | semidirect |
| 5. #17986132 | C2 | semidirect |
| 6. #17985998 | C2 | semidirect |
| 7. #17985963 | C2 | semidirect |
| 8. C2×#121×C71 | C2 | semidirect |
| 13. C2×#11765865 | C22 | semidirect |
| 14. C22×Dic142 | C22 | semidirect |
| 15. C22×D284 | C22 | semidirect |
| 19. C2×#11765853 | C22 | semidirect |
| 20. C2×#11765850 | C22 | semidirect |
| 21. C2×#11765849 | C22 | semidirect |
| 22. #14556051 | C22 | semidirect |
| 23. #14556048 | C22 | semidirect |
| 24. C22⋊(C71⋊C8) | C22 | semidirect |
| 25. C22⋊(C71⋊C8) | C22 | semidirect |
| 27. C22×D4×C71 | C22 | semidirect |
| 32. #121×C71 | C22 | semidirect |
| 33. C2×C4⋊C4×C71 | C22 | semidirect |
| 41. #11765865 | D4 | semidirect |
| 115. D284 | C2×D4 | semidirect |
| 120. Dic142 | C2×D4 | semidirect |
| 135. C22×C71 | AGL(1,ℤ/8) | semidirect |
| 156. C71 | #3006 | semidirect |
| 159. C2×#121 | D71 | semidirect |
| 174. C22×D4 | C2×D71 | semidirect |
| 184. #121 | C2×D71 | semidirect |
| 185. C2×C4⋊C4 | C2×D71 | semidirect |
| 295. C22 | #14556154 | semidirect |