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 |
|---|---|---|
| 2. #17986391 | C2 | semidirect |
| 3. #17986373 | C2 | semidirect |
| 4. #17986365 | C2 | semidirect |
| 5. #17986356 | C2 | semidirect |
| 6. #17986221 | C2 | semidirect |
| 7. #17986199 | C2 | semidirect |
| 8. #17986159 | C2 | semidirect |
| 9. #17986149 | C2 | semidirect |
| 10. #17986060 | C2 | semidirect |
| 11. #541×C71 | C2 | semidirect |
| 14. C2×#11765855 | C22 | semidirect |
| 17. C2×#11765852 | C22 | semidirect |
| 24. C4⋊(C71⋊C8) | C22 | semidirect |
| 25. #14556051 | C22 | semidirect |
| 28. #14556048 | C22 | semidirect |
| 30. #14556039 | C22 | semidirect |
| 31. C4×C71⋊C8 | C22 | semidirect |
| 32. C4⋊Q8×C71 | C22 | semidirect |
| 35. #125×C71 | C22 | semidirect |
| 37. C4×Q8×C71 | C22 | semidirect |
| 123. C71 | #3222 | semidirect |
| 124. #541 | D71 | semidirect |
| 141. C4⋊Q8 | C2×D71 | semidirect |
| 146. #125 | C2×D71 | semidirect |
| 152. C4×Q8 | C2×D71 | semidirect |