Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 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 |
|---|---|---|
| 1. #17986535 | C2 | semidirect |
| 2. C2×#14556117 | C2 | semidirect |
| 3. #17986384 | C2 | semidirect |
| 4. #17986355 | C2 | semidirect |
| 5. #17986223 | C2 | semidirect |
| 6. #17986217 | C2 | semidirect |
| 7. #17986149 | C2 | semidirect |
| 8. #17986138 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #451×C71 | C2 | semidirect |
| 14. C2×#11765852 | C22 | semidirect |
| 17. #14556119 | C22 | semidirect |
| 22. #14556117 | C22 | semidirect |
| 25. Q8×Dic71 | C22 | semidirect |
| 26. #14556090 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556052 | C22 | semidirect |
| 37. C8×Dic71 | C22 | semidirect |
| 39. C2×Q16×C71 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 144. C71 | #3211 | semidirect |
| 151. #451 | D71 | semidirect |
| 158. C2×Q16 | C2×D71 | semidirect |
| 181. #103 | C2×D71 | semidirect |