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. #17986360 | C2 | semidirect |
| 5. #17986355 | C2 | semidirect |
| 6. #17986344 | C2 | semidirect |
| 7. #17986003 | C2 | semidirect |
| 8. #17986000 | C2 | semidirect |
| 9. C2×#14556050 | C2 | semidirect |
| 10. #17985954 | C2 | semidirect |
| 11. #416×C71 | C2 | semidirect |
| 15. #14556127 | C22 | semidirect |
| 18. #14556119 | C22 | semidirect |
| 26. #14556052 | C22 | semidirect |
| 29. #14556049 | C22 | semidirect |
| 32. #14556038 | C22 | semidirect |
| 33. C8×Dic71 | C22 | semidirect |
| 37. #103×C71 | C22 | semidirect |
| 38. #103×C71 | C22 | semidirect |
| 39. #102×C71 | C22 | semidirect |
| 40. #102×C71 | C22 | semidirect |
| 136. C71 | #3136 | semidirect |
| 145. #416 | D71 | semidirect |
| 166. #103 | C2×D71 | semidirect |
| 167. #103 | C2×D71 | semidirect |
| 173. #102 | C2×D71 | semidirect |
| 174. #102 | C2×D71 | semidirect |