Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #17986797 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. #17986765 | C2 | semidirect |
| 4. #17986266 | C2 | semidirect |
| 5. #17986259 | C2 | semidirect |
| 6. #17986048 | C2 | semidirect |
| 7. #17985983 | C2 | semidirect |
| 8. C2×#14556045 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C71 | C2 | semidirect |
| 11. #14556159 | C22 | semidirect |
| 15. #14556154 | C22 | semidirect |
| 21. #14556134 | C22 | semidirect |
| 26. #14556064 | C22 | semidirect |
| 27. #14556047 | C22 | semidirect |
| 28. #14556045 | C22 | semidirect |
| 29. #14556045 | C22 | semidirect |
| 34. C2×SD16×C71 | C22 | semidirect |
| 35. C2×D8×C71 | C22 | semidirect |
| 148. C71 | #3068 | semidirect |
| 151. C2×AGL(1,ℤ/8) | D71 | semidirect |
| 171. C2×SD16 | C2×D71 | semidirect |
| 173. C2×D8 | C2×D71 | semidirect |