Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
406 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 406 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. #17986671 | C2 | semidirect |
| 2. #17986389 | C2 | semidirect |
| 3. #17986373 | C2 | semidirect |
| 4. #17986211 | C2 | semidirect |
| 5. #17986201 | C2 | semidirect |
| 6. #17986199 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986130 | C2 | semidirect |
| 9. #17986097 | C2 | semidirect |
| 10. C4×#11765850 | C2 | semidirect |
| 11. #556×C71 | C2 | semidirect |
| 106. C71⋊C8 | #41 | semidirect |
| 133. C71 | #3397 | semidirect |
| 134. #556 | D71 | semidirect |