Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 129 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×#14556156 | C2 | semidirect |
| 3. C2×#14556153 | C2 | semidirect |
| 4. #17986765 | C2 | semidirect |
| 5. #17986268 | C2 | semidirect |
| 6. #17986265 | C2 | semidirect |
| 7. #17986047 | C2 | semidirect |
| 8. C2×#14556044 | C2 | semidirect |
| 9. #413×C71 | C2 | semidirect |
| 12. #14556159 | C22 | semidirect |
| 16. #14556154 | C22 | semidirect |
| 22. C2×#11765852 | C22 | semidirect |
| 24. C2×#11765850 | C22 | semidirect |
| 25. #14556136 | C22 | semidirect |
| 30. #14556063 | C22 | semidirect |
| 31. #14556044 | C22 | semidirect |
| 35. #101×C71 | C22 | semidirect |
| 36. #100×C71 | C22 | semidirect |
| 148. C71 | #3068 | semidirect |
| 156. #413 | D71 | semidirect |
| 182. #101 | C2×D71 | semidirect |
| 184. #100 | C2×D71 | semidirect |