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. #17986343 | C2 | semidirect |
| 4. #17986334 | C2 | semidirect |
| 5. #17986258 | C2 | semidirect |
| 6. #17986244 | C2 | semidirect |
| 7. #17986162 | C2 | semidirect |
| 8. #17986157 | C2 | semidirect |
| 9. #17986137 | C2 | semidirect |
| 10. #17985961 | C2 | semidirect |
| 11. #481×C71 | C2 | semidirect |
| 15. C2×Dic284 | C22 | semidirect |
| 16. C2×#11765853 | C22 | semidirect |
| 32. #14556061 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 34. #14556051 | C22 | semidirect |
| 35. #14556051 | C22 | semidirect |
| 40. #106×C71 | C22 | semidirect |
| 41. #102×C71 | C22 | semidirect |
| 150. C71 | #3196 | semidirect |
| 155. #481 | D71 | semidirect |
| 185. #106 | C2×D71 | semidirect |
| 189. #102 | C2×D71 | semidirect |