Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
444 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 119 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. #17986551 | C2 | semidirect |
| 3. #17986334 | C2 | semidirect |
| 4. #17986278 | C2 | semidirect |
| 5. #17986203 | C2 | semidirect |
| 8. #17986102 | C2 | semidirect |
| 9. #17986098 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #484×C71 | C2 | semidirect |
| 16. #14556127 | C22 | semidirect |
| 17. #14556126 | C22 | semidirect |
| 21. Q8×Dic71 | C22 | semidirect |
| 23. #14556093 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556051 | C22 | semidirect |
| 37. #14556038 | C22 | semidirect |
| 40. #107×C71 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 137. C71 | #3110 | semidirect |
| 141. #484 | D71 | semidirect |
| 171. #107 | C2×D71 | semidirect |
| 174. #103 | C2×D71 | semidirect |