Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #17986398 | C2 | semidirect |
| 3. #17986373 | C2 | semidirect |
| 4. #17986367 | C2 | semidirect |
| 5. #17986365 | C2 | semidirect |
| 6. #17986247 | C2 | semidirect |
| 7. #17986230 | C2 | semidirect |
| 8. #17986097 | C2 | semidirect |
| 9. C4×#11765852 | C2 | semidirect |
| 10. #17985955 | C2 | semidirect |
| 11. #541×C71 | C2 | semidirect |
| 109. C71 | #3174 | semidirect |
| 110. #541 | D71 | semidirect |