Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #17986296 | C2 | semidirect |
| 3. #17986286 | C2 | semidirect |
| 4. #17986276 | C2 | semidirect |
| 5. #17986042 | C2 | semidirect |
| 6. #17986023 | C2 | semidirect |
| 8. #533×C71 | C2 | semidirect |
| 18. #14556061 | C22 | semidirect |
| 19. #14556059 | C22 | semidirect |
| 20. C4⋊(C71⋊C8) | C22 | semidirect |
| 21. C4⋊(C71⋊C8) | C22 | semidirect |
| 24. C4⋊Q8×C71 | C22 | semidirect |
| 25. C4⋊Q8×C71 | C22 | semidirect |
| 26. #125×C71 | C22 | semidirect |
| 36. C2×D284 | Q8 | semidirect |
| 116. C71 | #3077 | semidirect |
| 117. #533 | D71 | semidirect |
| 128. C4⋊Q8 | C2×D71 | semidirect |
| 129. C4⋊Q8 | C2×D71 | semidirect |
| 130. #125 | C2×D71 | semidirect |