Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #17986578 | C2 | semidirect |
| 2. #17986336 | C2 | semidirect |
| 3. #17986311 | C2 | semidirect |
| 4. #17986243 | C2 | semidirect |
| 5. #17986240 | C2 | semidirect |
| 6. #17986162 | C2 | semidirect |
| 7. #17986141 | C2 | semidirect |
| 8. #17985965 | C2 | semidirect |
| 9. #466×C71 | C2 | semidirect |
| 120. C71 | #3203 | semidirect |
| 126. #466 | D71 | semidirect |