Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. #17986627 | C2 | semidirect |
| 3. #17986362 | C2 | semidirect |
| 4. #17986357 | C2 | semidirect |
| 5. #17986352 | C2 | semidirect |
| 6. #17986344 | C2 | semidirect |
| 7. #17986001 | C2 | semidirect |
| 8. #17985993 | C2 | semidirect |
| 9. C2×#14556049 | C2 | semidirect |
| 10. #17985957 | C2 | semidirect |
| 11. #418×C71 | C2 | semidirect |
| 15. #14556127 | C22 | semidirect |
| 18. #14556119 | C22 | semidirect |
| 26. #14556053 | C22 | semidirect |
| 27. #14556051 | C22 | semidirect |
| 28. #14556051 | C22 | semidirect |
| 29. #14556050 | C22 | semidirect |
| 32. #14556048 | C22 | semidirect |
| 33. #14556048 | C22 | semidirect |
| 34. #14556038 | C22 | semidirect |
| 35. C8×Dic71 | C22 | semidirect |
| 136. C71 | #3136 | semidirect |
| 143. #418 | D71 | semidirect |