Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986709 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986319 | C2 | semidirect |
| 5. #17986289 | C2 | semidirect |
| 6. #17986231 | C2 | semidirect |
| 7. #17986199 | C2 | semidirect |
| 8. #17986148 | C2 | semidirect |
| 9. C8×D284 | C2 | semidirect |
| 10. #102×D71 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 14. C2×#11765852 | C22 | semidirect |
| 15. C2×C8×D71 | C22 | semidirect |
| 16. #14556128 | C22 | semidirect |
| 20. #14556104 | C22 | semidirect |
| 26. C4⋊C4×D71 | 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 |
| 35. C4×Q8×C71 | C22 | semidirect |
| 37. #106×C71 | C22 | semidirect |
| 38. #103×C71 | C22 | semidirect |
| 40. C4×C8×C71 | C22 | semidirect |
| 102. D284 | SD16 | semidirect |
| 137. C71 | #3295 | semidirect |
| 146. C4×SD16 | D71 | semidirect |
| 162. C4×Q8 | C2×D71 | semidirect |
| 168. #106 | C2×D71 | semidirect |
| 170. #103 | C2×D71 | semidirect |
| 177. C4×C8 | C2×D71 | semidirect |