Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
450 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17986535 | C2 | semidirect |
| 2. C2×#14556090 | C2 | semidirect |
| 3. #17986312 | C2 | semidirect |
| 4. #17986298 | C2 | semidirect |
| 5. #17986217 | C2 | semidirect |
| 6. #17986149 | C2 | semidirect |
| 8. #17986110 | C2 | semidirect |
| 9. #17986102 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #483×C71 | C2 | semidirect |
| 17. #14556119 | C22 | semidirect |
| 18. #14556117 | C22 | semidirect |
| 21. Q8×Dic71 | C22 | semidirect |
| 26. #14556090 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 35. #14556048 | C22 | semidirect |
| 37. #14556038 | C22 | semidirect |
| 40. #106×C71 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 141. C71 | #3114 | semidirect |
| 144. #483 | D71 | semidirect |
| 175. #106 | C2×D71 | semidirect |
| 177. #103 | C2×D71 | semidirect |