Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
408 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17986670 | C2 | semidirect |
| 2. #17986347 | C2 | semidirect |
| 3. #17986323 | C2 | semidirect |
| 4. #17986291 | C2 | semidirect |
| 5. #17986233 | C2 | semidirect |
| 6. #17986194 | C2 | semidirect |
| 7. #17986142 | C2 | semidirect |
| 8. C4×#11765853 | C2 | semidirect |
| 9. D4×C71⋊C8 | C2 | semidirect |
| 10. #17985993 | C2 | semidirect |
| 11. #555×C71 | C2 | semidirect |
| 133. C71 | #3305 | semidirect |
| 134. #555 | D71 | semidirect |