Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 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 |
|---|---|---|
| 3. #17986378 | C2 | semidirect |
| 5. #17986209 | C2 | semidirect |
| 6. #17986206 | C2 | semidirect |
| 8. #17986130 | C2 | semidirect |
| 9. #17986104 | C2 | semidirect |
| 11. #557×C71 | C2 | semidirect |
| 120. C71 | #3398 | semidirect |
| 121. #557 | D71 | semidirect |