Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 488 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. #17986544 | C2 | semidirect |
| 2. C2×#14556090 | C2 | semidirect |
| 3. #17986317 | C2 | semidirect |
| 4. #17986288 | C2 | semidirect |
| 5. #17986193 | C2 | semidirect |
| 6. #17986135 | C2 | semidirect |
| 7. #17986132 | C2 | semidirect |
| 8. #17986110 | C2 | semidirect |
| 9. #17986108 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #481×C71 | C2 | semidirect |
| 17. #14556127 | C22 | semidirect |
| 18. #14556124 | C22 | semidirect |
| 22. D4×Dic71 | C22 | semidirect |
| 27. #14556090 | C22 | semidirect |
| 31. #14556059 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 35. #14556048 | C22 | semidirect |
| 37. #14556038 | C22 | semidirect |
| 40. #106×C71 | C22 | semidirect |
| 41. #102×C71 | C22 | semidirect |
| 112. D284 | #41 | semidirect |
| 150. C71 | #3109 | semidirect |
| 154. #481 | D71 | semidirect |
| 184. #106 | C2×D71 | semidirect |
| 189. #102 | C2×D71 | semidirect |