Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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. #17986611 | C2 | semidirect |
| 2. #17986394 | C2 | semidirect |
| 3. #17986371 | C2 | semidirect |
| 4. #17986363 | C2 | semidirect |
| 5. #17986353 | C2 | semidirect |
| 6. #17986218 | C2 | semidirect |
| 7. #17986196 | C2 | semidirect |
| 8. #17986161 | C2 | semidirect |
| 9. #17986150 | C2 | semidirect |
| 10. #17986060 | C2 | semidirect |
| 12. C2×#11765855 | C22 | semidirect |
| 15. C2×#11765853 | C22 | semidirect |
| 16. #14556128 | C22 | semidirect |
| 18. #14556120 | C22 | semidirect |
| 21. C4×Dic142 | C22 | semidirect |
| 22. C4⋊(C71⋊C8) | C22 | semidirect |
| 23. #14556052 | C22 | semidirect |
| 26. #14556049 | C22 | semidirect |
| 28. #14556039 | C22 | semidirect |
| 29. C4×C71⋊C8 | C22 | semidirect |
| 123. C71 | #3222 | semidirect |