Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
460 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 460 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. #17986714 | C2 | semidirect |
| 2. D4×D284 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986326 | C2 | semidirect |
| 5. #17986289 | C2 | semidirect |
| 6. #17986251 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986131 | C2 | semidirect |
| 9. #17986078 | C2 | semidirect |
| 10. #17986002 | C2 | semidirect |
| 11. C4×D8×C71 | C2 | semidirect |
| 14. C2×#11765850 | C22 | semidirect |
| 15. C2×#11765848 | C22 | semidirect |
| 16. #14556128 | C22 | semidirect |
| 22. #14556099 | C22 | semidirect |
| 26. #14556086 | C22 | semidirect |
| 27. #14556059 | C22 | semidirect |
| 28. C4⋊(C71⋊C8) | C22 | semidirect |
| 29. #14556050 | C22 | semidirect |
| 30. #14556050 | C22 | semidirect |
| 32. #14556048 | C22 | semidirect |
| 33. (C2×D71)⋊C8 | C22 | semidirect |
| 36. C4×D4×C71 | C22 | semidirect |
| 37. #107×C71 | C22 | semidirect |
| 39. #102×C71 | C22 | semidirect |
| 40. C4×C8×C71 | C22 | semidirect |
| 141. C71 | #3325 | semidirect |
| 150. C4×D8 | D71 | semidirect |
| 168. C4×D4 | C2×D71 | semidirect |
| 171. #107 | C2×D71 | semidirect |
| 179. #102 | C2×D71 | semidirect |
| 181. C4×C8 | C2×D71 | semidirect |