Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. #17986365 | C2 | semidirect |
| 3. #17986361 | C2 | semidirect |
| 4. #17986356 | C2 | semidirect |
| 5. #17986347 | C2 | semidirect |
| 6. #17986003 | C2 | semidirect |
| 7. #17985998 | C2 | semidirect |
| 8. #17985993 | C2 | semidirect |
| 9. C2×#14556048 | C2 | semidirect |
| 10. #17985955 | C2 | semidirect |
| 11. #544×C71 | C2 | semidirect |
| 21. #14556051 | C22 | semidirect |
| 22. #14556051 | C22 | semidirect |
| 23. #14556051 | C22 | semidirect |
| 28. #14556048 | C22 | semidirect |
| 29. #14556048 | C22 | semidirect |
| 30. #14556048 | C22 | semidirect |
| 31. #14556039 | C22 | semidirect |
| 32. C4×C71⋊C8 | C22 | semidirect |
| 34. C4⋊Q8×C71 | C22 | semidirect |
| 36. #125×C71 | C22 | semidirect |
| 136. C71 | #3136 | semidirect |
| 137. #544 | D71 | semidirect |
| 153. C4⋊Q8 | C2×D71 | semidirect |
| 156. #125 | C2×D71 | semidirect |