Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
526 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14556154 | C2 | semidirect |
| 2. C22×#11765850 | C2 | semidirect |
| 3. #17986568 | C2 | semidirect |
| 4. #17986214 | C2 | semidirect |
| 5. #17986194 | C2 | semidirect |
| 6. #17986026 | C2 | semidirect |
| 7. #17986003 | C2 | semidirect |
| 8. #17985993 | C2 | semidirect |
| 9. #518×C71 | C2 | semidirect |
| 13. C2×#11765853 | C22 | semidirect |
| 16. C2×#11765850 | C22 | semidirect |
| 19. #14556125 | C22 | semidirect |
| 20. #14556116 | C22 | semidirect |
| 23. C4⋊(C71⋊C8) | C22 | semidirect |
| 24. #14556051 | C22 | semidirect |
| 25. #14556048 | C22 | semidirect |
| 26. #14556048 | C22 | semidirect |
| 29. C4×D4×C71 | C22 | semidirect |
| 56. C2×D4×C71 | D4 | semidirect |
| 122. C71 | #3041 | semidirect |
| 126. #518 | D71 | semidirect |
| 147. C4×D4 | C2×D71 | semidirect |
| 169. C2×D4 | D284 | semidirect |