Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#14556108 | C2 | semidirect |
| 3. #17986342 | C2 | semidirect |
| 4. #17986317 | C2 | semidirect |
| 5. #17986256 | C2 | semidirect |
| 6. #17986246 | C2 | semidirect |
| 7. #17986164 | C2 | semidirect |
| 8. #17986154 | C2 | semidirect |
| 9. #17986140 | C2 | semidirect |
| 10. #17985961 | C2 | semidirect |
| 11. #484×C71 | C2 | semidirect |
| 15. C2×#11765855 | C22 | semidirect |
| 16. C2×#11765854 | C22 | semidirect |
| 32. #14556059 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 34. #14556051 | C22 | semidirect |
| 35. #14556048 | C22 | semidirect |
| 40. #107×C71 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 150. C71 | #3196 | semidirect |
| 154. #484 | D71 | semidirect |
| 184. #107 | C2×D71 | semidirect |
| 188. #103 | C2×D71 | semidirect |