Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 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 |
|---|---|---|
| 1. #17986533 | C2 | semidirect |
| 2. #17986405 | C2 | semidirect |
| 3. #17986386 | C2 | semidirect |
| 4. #17986363 | C2 | semidirect |
| 5. #17986361 | C2 | semidirect |
| 6. #17986233 | C2 | semidirect |
| 7. #17986226 | C2 | semidirect |
| 8. #17986109 | C2 | semidirect |
| 9. #17986099 | C2 | semidirect |
| 10. C2×#14556039 | C2 | semidirect |
| 11. #532×C71 | C2 | semidirect |
| 110. C71⋊C8 | #41 | semidirect |
| 138. C71 | #3180 | semidirect |
| 139. #532 | D71 | semidirect |