Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986337 | C2 | semidirect |
| 3. #17986329 | C2 | semidirect |
| 4. #17986312 | C2 | semidirect |
| 5. #17986238 | C2 | semidirect |
| 6. #17986230 | C2 | semidirect |
| 7. #17986159 | C2 | semidirect |
| 8. #17986155 | C2 | semidirect |
| 9. #17986138 | C2 | semidirect |
| 10. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 11. C2×C22⋊Q8×C71 | C2 | semidirect |
| 13. C2×#11765855 | C22 | semidirect |
| 14. C2×#11765852 | C22 | semidirect |
| 25. #14556061 | C22 | semidirect |
| 26. #14556059 | C22 | semidirect |
| 27. #14556052 | C22 | semidirect |
| 28. #14556052 | C22 | semidirect |
| 29. #14556051 | C22 | semidirect |
| 30. #14556048 | C22 | semidirect |
| 150. C71 | #3190 | semidirect |
| 152. C2×C22⋊Q8 | D71 | semidirect |