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×#14556154 | C2 | semidirect |
| 2. C2×#14556148 | C2 | semidirect |
| 3. #17986479 | C2 | semidirect |
| 4. #17986218 | C2 | semidirect |
| 5. #17986211 | C2 | semidirect |
| 6. #17986196 | C2 | semidirect |
| 7. #17986191 | C2 | semidirect |
| 8. #17986026 | C2 | semidirect |
| 9. #17986000 | C2 | semidirect |
| 10. C2×#14556049 | C2 | semidirect |
| 11. #535×C71 | C2 | semidirect |
| 15. C2×#11765855 | C22 | semidirect |
| 17. C2×#11765853 | C22 | semidirect |
| 18. C2×#11765852 | C22 | semidirect |
| 20. C2×#11765850 | C22 | semidirect |
| 23. C4×Dic142 | C22 | semidirect |
| 24. C4×D284 | C22 | semidirect |
| 29. C4⋊(C71⋊C8) | C22 | semidirect |
| 30. C4⋊(C71⋊C8) | C22 | semidirect |
| 31. #14556052 | C22 | semidirect |
| 34. #14556049 | C22 | semidirect |
| 44. #11765865 | D4 | semidirect |
| 155. C71 | #3045 | semidirect |
| 158. #535 | D71 | semidirect |