Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14556153 | C2 | semidirect |
| 2. C2×#14556135 | C2 | semidirect |
| 3. #17986563 | C2 | semidirect |
| 4. #17986250 | C2 | semidirect |
| 5. #17986247 | C2 | semidirect |
| 6. #17986233 | C2 | semidirect |
| 7. #17986230 | C2 | semidirect |
| 8. #17986039 | C2 | semidirect |
| 9. #17985995 | C2 | semidirect |
| 10. C2×#14556048 | C2 | semidirect |
| 11. #537×C71 | C2 | semidirect |
| 18. C2×#11765849 | C22 | semidirect |
| 20. C22×C71⋊C8 | C22 | semidirect |
| 27. #14556061 | C22 | semidirect |
| 28. #14556059 | C22 | semidirect |
| 29. #14556052 | C22 | semidirect |
| 30. #14556052 | C22 | semidirect |
| 31. #14556049 | C22 | semidirect |
| 32. #14556049 | C22 | semidirect |
| 38. C22⋊Q8×C71 | C22 | semidirect |
| 41. #121×C71 | C22 | semidirect |
| 53. #11765849 | D4 | semidirect |
| 152. C71 | #3062 | semidirect |
| 155. #537 | D71 | semidirect |
| 178. C22⋊Q8 | C2×D71 | semidirect |
| 183. #121 | C2×D71 | semidirect |