Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 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×#14556175 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. C22×#11765853 | C2 | semidirect |
| 4. #17986142 | C2 | semidirect |
| 5. #17986137 | C2 | semidirect |
| 6. #17986007 | C2 | semidirect |
| 7. #17985993 | C2 | semidirect |
| 8. #17985966 | C2 | semidirect |
| 9. #535×C71 | C2 | semidirect |
| 13. C2×#11765865 | C22 | semidirect |
| 17. C22×Dic142 | C22 | semidirect |
| 26. #14556051 | C22 | semidirect |
| 27. #14556051 | C22 | semidirect |
| 28. #14556048 | C22 | semidirect |
| 29. C22⋊(C71⋊C8) | C22 | semidirect |
| 40. #11765865 | D4 | semidirect |
| 48. C2×Dic142 | D4 | semidirect |
| 146. C71 | #3010 | semidirect |
| 150. #535 | D71 | semidirect |